Details

analyze1.1s (3.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
7.8%	7.8%	92%	0.2%	0%	0%	0%	9
7.8%	7.8%	92%	0.2%	0%	0%	0%	10
10.2%	10.1%	89.7%	0.2%	0%	0%	0%	11
10.2%	10.1%	89.7%	0.2%	0%	0%	0%	12

Compiler

Compiled 29 to 18 computations (37.9% saved)

sample11.8s (32.5%)

Results

8.6s	5532×	body	1024	valid
1.9s	1332×	body	512	valid
678.0ms	1192×	body	256	valid
610.0ms	200×	body	2048	valid

Bogosity

preprocess101.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1098×	`rational_best-simplify-2`
960×	`rational_best-simplify-45`
934×	`trigometric-prior-simplify-9`
934×	`rational_best-simplify-48`
926×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	539
1	401	539
2	687	539
3	1037	539
4	1686	539
5	2567	539
6	3452	539
7	5436	539
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 32 to 21 computations (34.4% saved)

simplify121.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1260×	`rational_best-simplify-51`
1108×	`rational_best-simplify-52`
1016×	`rational_best-simplify-2`
940×	`rational_best-simplify-1`
898×	`trigometric-prior-simplify-9`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	100	77
2	170	77
3	248	77
4	364	77
5	559	77
6	811	77
7	1146	77
8	1646	77
9	2639	77
10	4290	77
11	7924	77

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

Outputs

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

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

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

eval1.0ms (0%)

Compiler: Compiled 76 to 25 computations (67.1% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

13.4b

Counts

4 → 2

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

13.4b

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

▶

13.4b

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

Compiler

Compiled 56 to 34 computations (39.3% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 96 to 17 computations (82.3% saved)

series54.0ms (0.1%)

Counts

4 → 116

Calls

33 calls:

Time	Variable		Point	Expression
39.0ms	lambda1	@	-inf	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
2.0ms	lambda1	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
1.0ms	phi1	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
1.0ms	phi2	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
1.0ms	lambda2	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))

rewrite74.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1708×	`rational_best-5`
1708×	`rational_best-2`
1708×	`rational_best-3`
1708×	`rational_best-1`
1706×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	173	74
2	866	74
3	3195	74

Stop Event

1×	node limit

Counts

4 → 45

Calls

Call 1

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

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

simplify194.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

952×	`rational_best-simplify-1`
782×	`rational_best-simplify-44`
762×	`rational_best-simplify-78`
714×	`rational_best-simplify-80`
698×	`rational_best-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	290	17179874971
1	877	17179874599
2	2249	17179874587
3	3630	17179874219
4	5844	17179874219

Stop Event

1×	node limit

Counts

161 → 229

Calls

Call 1

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

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

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 94 to 17 computations (81.9% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite58.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1414×	`rational_best-5`
1414×	`rational_best-2`
1414×	`rational_best-3`
1414×	`rational_best-1`
1412×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	140	31
2	666	31
3	2572	31

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

Outputs

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

simplify214.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1610×	`rational_best-simplify-78`
998×	`rational_best-simplify-1`
908×	`rational_best-simplify-132`
886×	`rational_best-simplify-47`
828×	`rational_best-simplify-80`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	131	2672
1	454	2496
2	1055	2280
3	2178	2144
4	4452	2128
5	7138	2128

Stop Event

1×	node limit

Counts

54 → 87

Calls

Call 1

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

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

eval150.0ms (0.4%)

Compiler: Compiled 18169 to 4722 computations (74% saved)

prune145.0ms (0.4%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	448	19	467
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	450	19	469

Error

9.8b

Counts

469 → 19

Alt Table

Click to see full alt table

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

Compiler

Compiled 1270 to 792 computations (37.6% saved)

localize146.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 164 to 42 computations (74.4% saved)

series2.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite98.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`rational_best-5`
1604×	`rational_best-2`
1604×	`rational_best-3`
1604×	`rational_best-1`
1602×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	102
1	171	64
2	769	64
3	2979	64

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify91.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1766×	`rational_best-simplify-135`
1266×	`rational_best-simplify-47`
1208×	`rational_best-simplify-54`
790×	`rational_best-simplify-2`
698×	`rational_best-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	3252
1	528	3076
2	1253	2822
3	2872	2686

Stop Event

1×	node limit

Counts

92 → 97

Calls

Call 1

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

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

localize45.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 80 to 16 computations (80% saved)

series4.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite218.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`rational_best-5`
1076×	`rational_best-2`
1076×	`rational_best-3`
1076×	`rational_best-1`
1074×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	109	21
2	530	21
3	2033	21

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

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

Outputs

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

simplify231.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1640×	`rational_best-simplify-47`
1068×	`rational_best-simplify-80`
1000×	`rational_best-simplify-78`
650×	`rational_best-simplify-1`
642×	`rational_best-simplify-132`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	111	4294968553
1	357	4294968401
2	710	4294968305
3	1239	4294968177
4	2683	4294968153
5	4628	4294968153
6	7723	4294968153

Stop Event

1×	node limit

Counts

27 → 72

Calls

Call 1

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

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

localize83.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 86 to 17 computations (80.2% saved)

series9.0ms (0%)

Counts

2 → 48

Calls

18 calls:

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

rewrite339.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1800×	`rational_best-5`
1800×	`rational_best-2`
1800×	`rational_best-3`
1800×	`rational_best-1`
1798×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	70
1	177	70
2	872	70
3	3378	70

Stop Event

1×	node limit

Counts

2 → 25

Calls

Call 1

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

Outputs

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

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

simplify173.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1698×	`rational_best-simplify-54`
1568×	`rational_best-simplify-80`
1488×	`rational_best-simplify-78`
972×	`rational_best-simplify-1`
870×	`rational_best-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	3679
1	436	3565
2	999	3355
3	2577	3355
4	5450	3355

Stop Event

1×	node limit

Counts

73 → 134

Calls

Call 1

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

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

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 119 to 20 computations (83.2% saved)

series19.0ms (0.1%)

Counts

2 → 52

Calls

18 calls:

Time	Variable		Point	Expression
11.0ms	lambda1	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))
1.0ms	lambda2	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))
1.0ms	lambda1	@	-inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))
1.0ms	phi1	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))
1.0ms	phi1	@	0	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))

rewrite59.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`rational_best-5`
1364×	`rational_best-2`
1364×	`rational_best-3`
1364×	`rational_best-1`
1362×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	148	52
2	627	52
3	2475	52

Stop Event

1×	node limit

Counts

2 → 12

Calls

Call 1

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

Outputs

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

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

simplify248.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1468×	`rational_best-simplify-80`
1328×	`rational_best-simplify-78`
1034×	`rational_best-simplify-2`
928×	`rational_best-simplify-44`
890×	`rational_best-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	3100
1	349	2858
2	775	2656
3	1608	2606
4	4050	2606
5	6548	2606

Stop Event

1×	node limit

Counts

64 → 90

Calls

Call 1

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

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

localize131.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 134 to 22 computations (83.6% saved)

series18.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	phi1	@	-inf	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))
4.0ms	lambda2	@	inf	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))
2.0ms	phi1	@	inf	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))
1.0ms	phi2	@	inf	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))
1.0ms	lambda2	@	-inf	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))

rewrite73.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1578×	`rational_best-5`
1578×	`rational_best-2`
1578×	`rational_best-3`
1578×	`rational_best-1`
1576×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	72
1	181	72
2	798	72
3	2998	72

Stop Event

1×	node limit

Counts

2 → 12

Calls

Call 1

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

Outputs

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

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

simplify175.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1526×	`rational_best-simplify-80`
1386×	`rational_best-simplify-78`
1096×	`rational_best-simplify-2`
890×	`rational_best-simplify-132`
820×	`rational_best-simplify-47`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	135	4450
1	375	4206
2	799	3828
3	1647	3618
4	3875	3426
5	6565	3426

Stop Event

1×	node limit

Counts

84 → 108

Calls

Call 1

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

Outputs
(.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))))
(.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (*.f64 (cos.f64 phi2) phi1))
(.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (*.f64 (cos.f64 phi2) phi1))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 phi1 3) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))) (.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))) (.f64 -1/6 (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 3) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))) (.f64 -1/6 (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (*.f64 (pow.f64 phi1 3) (cos.f64 phi2)))))
(.f64 (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 phi1 3) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))) (.f64 1/120 (.f64 (pow.f64 phi1 5) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))))))
(+.f64 (.f64 -1/6 (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 3) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))) (.f64 1/120 (.f64 (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (pow.f64 phi1 5)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))) (+.f64 (.f64 -1/6 (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (.f64 (pow.f64 phi1 3) (cos.f64 phi2)))) (.f64 (cos.f64 phi2) (.f64 1/120 (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (pow.f64 phi1 5))))))
(+.f64 (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (.f64 (cos.f64 phi2) phi1)) (.f64 (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) (.f64 1/120 (pow.f64 phi1 5)))))
(.f64 (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) (+.f64 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (*.f64 -1/6 (pow.f64 phi1 3))) phi1))
(.f64 (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) (+.f64 phi1 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (*.f64 -1/6 (pow.f64 phi1 3)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 phi1 7) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 phi1 3) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))) (.f64 1/120 (.f64 (pow.f64 phi1 5) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))))))
(+.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))) (.f64 1/120 (.f64 (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (pow.f64 phi1 5)))) (+.f64 (.f64 -1/6 (.f64 (cos.f64 phi2) (.f64 (pow.f64 phi1 3) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))) (.f64 -1/5040 (.f64 (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (pow.f64 phi1 7)))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (.f64 (pow.f64 phi1 3) (cos.f64 phi2)))) (+.f64 (+.f64 (.f64 (cos.f64 phi2) (.f64 phi1 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))) (.f64 (cos.f64 phi2) (.f64 1/120 (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (pow.f64 phi1 5))))) (.f64 (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) (*.f64 -1/5040 (pow.f64 phi1 7)))))
(+.f64 (.f64 (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) phi1)) (.f64 (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) (+.f64 (.f64 -1/5040 (pow.f64 phi1 7)) (*.f64 1/120 (pow.f64 phi1 5)))))
(.f64 (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) (+.f64 (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (.f64 -1/5040 (pow.f64 phi1 7))) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))))
(.f64 (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))) (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (+.f64 (.f64 -1/6 (pow.f64 phi1 3)) (+.f64 phi1 (.f64 -1/5040 (pow.f64 phi1 7))))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1)))
(.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (sin.f64 phi1))
(.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1))
(.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1))
(+.f64 (.f64 (sin.f64 phi1) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (.f64 -1/2 (.f64 (sin.f64 phi1) (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (pow.f64 phi2 2)))))
(+.f64 (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (sin.f64 phi1)) (.f64 -1/2 (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 -1 (.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))
(.f64 (sin.f64 phi1) (+.f64 (.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (.f64 -1/2 (pow.f64 phi2 2))) (+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))))
(.f64 (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (+.f64 (.f64 (sin.f64 phi1) (.f64 -1/2 (pow.f64 phi2 2))) (sin.f64 phi1)))
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eval647.0ms (1.8%)

Compiler: Compiled 46356 to 12303 computations (73.5% saved)

prune580.0ms (1.6%)

Pruning

41 alts after pruning (41 fresh and 0 done)

	Pruned	Kept	Total
New	1119	36	1155
Fresh	9	5	14
Picked	1	0	1
Done	4	0	4
Total	1133	41	1174

Error

9.4b

Counts

1174 → 41

Alt Table

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Status	Error	Program
	29.4b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
	34.9b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	28.5b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
	34.1b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	33.9b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	28.0b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (cos.f64 lambda1) (neg.f64 lambda2)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
	34.2b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (cos.f64 lambda1) (neg.f64 lambda2)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	25.8b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
	26.1b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
▶	32.1b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
▶	15.3b	(atan2.f64 (.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	22.4b	(atan2.f64 (.f64 (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))) (sin.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	35.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	25.6b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
	29.2b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
	29.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1))))
	19.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (neg.f64 lambda2))))))
▶	18.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 lambda1))) (cos.f64 (-.f64 lambda1 lambda2))))))
	25.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
	25.2b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))
	33.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))))
	32.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (pow.f64 phi2 2) (*.f64 -1/2 (sin.f64 phi1))) (sin.f64 phi1)))))
	32.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	23.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1)))))
	19.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	32.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) phi1))))
	19.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (sin.f64 phi1)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 phi1) 2) (cos.f64 lambda1))))))
	37.2b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))) (*.f64 phi2 (cos.f64 phi1))))
	19.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (sin.f64 phi1))) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (*.f64 (sin.f64 phi1) 2)))))))
	32.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 -1 (.f64 phi1 (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (sin.f64 phi2)))
	32.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda1) (neg.f64 phi1)))))
	19.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (.f64 (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))))
	36.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))))
▶	32.1b	(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
	32.2b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	37.8b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
▶	36.7b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	32.2b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	34.2b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
	32.4b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	36.6b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))

Compiler

Compiled 2524 to 1584 computations (37.2% saved)

localize46.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))
	2.4b	(sin.f64 (-.f64 lambda1 lambda2))
	2.6b	(cos.f64 (-.f64 lambda1 lambda2))
✓	4.2b	(.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))))

Compiler

Compiled 150 to 31 computations (79.3% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite170.0ms (0.5%)

Algorithm

2×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

952×	`rational_best-simplify-47`
952×	`rational_best-simplify-47`
946×	`rational_best-5`
946×	`rational_best-2`
946×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	109	22
2	494	22
3	1889	22
0	11	11
1	109	11
2	494	11
3	1889	11
0	11	11
1	109	11
0	8	27
1	85	27
2	424	27
3	1539	27
4	7222	27
0	8	27
1	85	27
2	424	27

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	node limit
1×	node limit

Counts

2 → 19

Calls

Call 1

Inputs

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

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

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

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

simplify225.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1950×	`rational_best-simplify-80`
772×	`rational_best-simplify-78`
760×	`rational_best-simplify-50`
688×	`rational_best-simplify-49`
650×	`rational_best-simplify-43`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	136	1869
1	362	1811
2	673	1787
3	1202	1763
4	3145	1727
5	5662	1727

Stop Event

1×	node limit

Counts

67 → 92

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

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

localize69.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 35 to 10 computations (71.4% saved)

series1.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite66.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1210×	`rational_best-5`
1210×	`rational_best-2`
1210×	`rational_best-3`
1210×	`rational_best-1`
1208×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	127	36
2	592	36
3	2277	36

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

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

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

simplify314.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

942×	`rational_best-simplify-49`
908×	`rational_best-simplify-50`
852×	`rational_best-simplify-132`
790×	`rational_best-simplify-2`
682×	`rational_best-simplify-129`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	8589936466
1	294	8589936466
2	1013	8589936466
3	2527	8589936466
4	6739	8589936466

Stop Event

1×	node limit

Counts

78 → 53

Calls

Call 1

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

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
✓	0.1b	(*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2))
	0.2b	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))
	2.6b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 79 to 17 computations (78.5% saved)

series7.0ms (0%)

Counts

2 → 20

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	lambda1	@	-inf	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
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	lambda2	@	inf	(*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2))
0.0ms	phi2	@	inf	(*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2))

rewrite89.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1620×	`rational_best-simplify-47`
1146×	`rational_best-simplify-2`
784×	`rational_best-simplify-54`
600×	`rational_best-5`
598×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	84
1	235	84
2	1137	84
3	4266	84

Stop Event

1×	node limit

Counts

2 → 23

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify245.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

912×	`rational_best-simplify-1`
850×	`rational_best-simplify-47`
686×	`rational_best-simplify-78`
606×	`rational_best-simplify-24`
548×	`rational_best-simplify-80`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	135	4294969605
1	375	4294969473
2	847	4294969419
3	2440	4294969419
4	4468	4294969419
5	7365	4294969419

Stop Event

1×	node limit

Counts

43 → 64

Calls

Call 1

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

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

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 103 to 20 computations (80.6% saved)

series10.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	lambda1	@	0	(*.f64 (cos.f64 lambda1) (neg.f64 lambda2))
1.0ms	lambda1	@	inf	(.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2))
1.0ms	lambda1	@	-inf	(.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2))
1.0ms	phi2	@	inf	(.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2))
0.0ms	lambda2	@	inf	(.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2))

rewrite56.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1050×	`rational_best-5`
1050×	`rational_best-2`
1050×	`rational_best-3`
1050×	`rational_best-1`
1048×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	126	50
2	520	50
3	1992	50

Stop Event

1×	node limit

Counts

2 → 12

Calls

Call 1

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

Outputs

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

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

simplify139.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1368×	`rational_best-simplify-80`
1232×	`rational_best-simplify-78`
1156×	`rational_best-simplify-47`
848×	`rational_best-simplify-82`
816×	`rational_best-simplify-132`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	2442
1	265	2198
2	558	2128
3	1076	2108
4	2995	2108
5	5778	2108

Stop Event

1×	node limit

Counts

72 → 81

Calls

Call 1

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

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

localize154.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 154 to 43 computations (72.1% saved)

series19.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	lambda1	@	inf	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 lambda1))) (cos.f64 (-.f64 lambda1 lambda2))))
2.0ms	lambda2	@	0	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 lambda1))) (cos.f64 (-.f64 lambda1 lambda2))))
1.0ms	lambda1	@	-inf	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 lambda1))) (cos.f64 (-.f64 lambda1 lambda2))))
1.0ms	lambda2	@	inf	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 lambda1))) (cos.f64 (-.f64 lambda1 lambda2))))
1.0ms	lambda1	@	0	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 lambda1))) (cos.f64 (-.f64 lambda1 lambda2))))

rewrite65.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1762×	`rational_best-5`
1762×	`rational_best-2`
1762×	`rational_best-3`
1762×	`rational_best-1`
1760×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	63
1	185	63
2	839	63
3	3252	63

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

Outputs

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

simplify415.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1264×	`rational_best-simplify-2`
942×	`rational_best-simplify-80`
864×	`rational_best-simplify-45`
864×	`rational_best-simplify-78`
862×	`rational_best-simplify-47`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	181	4124
1	537	4076
2	1057	3986
3	1938	3896
4	3584	3826
5	5755	3826
6	7750	3826

Stop Event

1×	node limit

Counts

54 → 82

Calls

Call 1

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

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

eval935.0ms (2.6%)

Compiler: Compiled 45099 to 13021 computations (71.1% saved)

prune692.0ms (1.9%)

Pruning

73 alts after pruning (71 fresh and 2 done)

	Pruned	Kept	Total
New	1062	47	1109
Fresh	12	24	36
Picked	1	0	1
Done	2	2	4
Total	1077	73	1150

Error

9.2b

Counts

1150 → 73

Alt Table

Click to see full alt table

Status	Error	Program
	39.1b	(atan2.f64 (+.f64 (.f64 (cos.f64 lambda1) (neg.f64 lambda2)) (sin.f64 lambda1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	45.8b	(atan2.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 (-.f64 lambda1 lambda2)))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) 1))) (sin.f64 phi2))
	29.4b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
	28.5b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
	40.5b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
	28.5b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	40.8b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (cos.f64 lambda1) (neg.f64 lambda2)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2))
	32.0b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
	45.1b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 (cos.f64 lambda2) (.f64 -1/2 (pow.f64 lambda1 2))) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1)))))))
	37.2b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
	25.8b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
	26.1b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
▶	35.0b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))
	38.7b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (sin.f64 phi2))
	33.4b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	33.8b	(atan2.f64 (.f64 (.f64 (/.f64 1 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	31.0b	(atan2.f64 (.f64 (.f64 (/.f64 1 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2)))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	17.4b	(atan2.f64 (.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
▶	15.3b	(atan2.f64 (.f64 (.f64 (/.f64 1 (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))) (sin.f64 (-.f64 lambda1 lambda2)))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
▶	31.2b	(atan2.f64 (.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (pow.f64 (sin.f64 (neg.f64 lambda2)) 2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	31.1b	(atan2.f64 (.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (pow.f64 (sin.f64 lambda1) 2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	15.3b	(atan2.f64 (.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (sin.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	32.6b	(atan2.f64 (.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)) (sin.f64 phi2))
	32.8b	(atan2.f64 (.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	32.5b	(atan2.f64 (.f64 (.f64 (/.f64 1 (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
▶	32.1b	(atan2.f64 (.f64 (.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))) (sin.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)) (sin.f64 phi2))
	44.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)) (sin.f64 phi2))
	25.6b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
	24.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (sin.f64 phi1)) (cos.f64 lambda1))))
	29.2b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
	19.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (neg.f64 lambda2))))))
	25.3b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 lambda1))) (cos.f64 (neg.f64 lambda2))))))
	25.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
	32.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (pow.f64 phi2 2) (*.f64 -1/2 (sin.f64 phi1))) (sin.f64 phi1)))))
	32.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	23.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1)))))
	25.3b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (pow.f64 (cos.f64 lambda2) 2)))))
	19.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	19.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (sin.f64 phi1)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 phi1) 2) (cos.f64 lambda1))))))
	37.2b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))) (*.f64 phi2 (cos.f64 phi1))))
	19.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (sin.f64 phi1))) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (*.f64 (sin.f64 phi1) 2)))))))
	42.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 -1/6 (pow.f64 phi2 3)) phi2))
	32.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda1) (neg.f64 phi1)))))
	43.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (/.f64 (/.f64 1 (sin.f64 phi2)) (.f64 (sin.f64 phi2) (sin.f64 phi2))) (.f64 (.f64 (sin.f64 phi2) (sin.f64 phi2)) (.f64 (sin.f64 phi2) (sin.f64 phi2)))))
	19.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (.f64 (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))))
	32.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (/.f64 1 (sin.f64 phi2)) (*.f64 (sin.f64 phi2) (sin.f64 phi2))))
	32.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (*.f64 (sin.f64 phi2) (/.f64 1 (sin.f64 phi2))) (sin.f64 phi2)))
	36.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))))
✓	32.1b	(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
▶	42.8b	(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) phi2)
	36.7b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))) (sin.f64 phi1))))
	32.2b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	40.0b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
	37.8b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	36.7b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
	39.5b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))
✓	36.7b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	42.6b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	41.7b	(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
	32.4b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 lambda1))) (cos.f64 (-.f64 lambda1 lambda2))))))
	32.2b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	34.2b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
	32.4b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	36.6b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	41.0b	(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
	42.6b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 lambda1 (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	46.2b	(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 (.f64 lambda2 (cos.f64 lambda1)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	48.3b	(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	41.5b	(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	32.1b	(.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (/.f64 1 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))))
	32.6b	(.f64 (/.f64 (/.f64 1 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))) (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))) (.f64 (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))) (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))))
	38.1b	(.f64 (/.f64 (/.f64 1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))) (.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))))) (.f64 (.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))) (.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))))))
	37.2b	(.f64 (/.f64 1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))) (.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))))

Compiler

Compiled 4730 to 2679 computations (43.4% saved)

localize77.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))
	2.4b	(sin.f64 (-.f64 lambda1 lambda2))
	2.6b	(cos.f64 (-.f64 lambda1 lambda2))
✓	4.2b	(.f64 (/.f64 1 (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))) (sin.f64 (-.f64 lambda1 lambda2)))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))))

Compiler

Compiled 231 to 56 computations (75.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`rational_best-5`
940×	`rational_best-2`
940×	`rational_best-3`
940×	`rational_best-1`
938×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	87
1	131	11
2	578	11
3	1978	11

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs

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

Outputs

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

simplify128.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1834×	`rational_best-simplify-47`
1094×	`rational_best-simplify-80`
972×	`rational_best-simplify-78`
856×	`rational_best-simplify-82`
848×	`rational_best-simplify-44`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	71	4294967921
1	186	4294967915
2	329	4294967891
3	595	4294967891
4	1513	4294967879
5	3060	4294967879
6	5799	4294967879

Stop Event

1×	node limit

Counts

33 → 53

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 (-.f64 lambda1 lambda2))
(sin.f64 (-.f64 lambda1 lambda2))
(sin.f64 (-.f64 lambda1 lambda2))
(sin.f64 (-.f64 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 (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 lambda1 lambda2))
(sin.f64 (-.f64 lambda1 lambda2))
(sin.f64 (-.f64 lambda1 lambda2))
(sin.f64 (-.f64 lambda1 lambda2))
(sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(sin.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(+.f64 (sin.f64 (-.f64 lambda1 lambda2)) 0)
(+.f64 0 (sin.f64 (-.f64 lambda1 lambda2)))
(-.f64 (sin.f64 (-.f64 lambda1 lambda2)) 0)
(/.f64 (sin.f64 (-.f64 lambda1 lambda2)) 1)
(/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))))
(/.f64 (+.f64 (cis.f64 (-.f64 lambda1 lambda2)) (-.f64 0 (/.f64 1 (cis.f64 (-.f64 lambda1 lambda2))))) (+.f64 (I.f64) (I.f64)))
(/.f64 (-.f64 (.f64 (/.f64 1 (cis.f64 (-.f64 lambda1 lambda2))) (I.f64)) (.f64 (cis.f64 (-.f64 lambda1 lambda2)) (I.f64))) 2)
(/.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) 2) 2)
(sin.f64 (-.f64 lambda1 lambda2))

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

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 9 computations (71.9% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite70.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1116×	`rational_best-5`
1116×	`rational_best-2`
1116×	`rational_best-3`
1116×	`rational_best-1`
1114×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	116	27
2	551	27
3	2107	27

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify321.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1856×	`rational_best-simplify-132`
804×	`rational_best-simplify-2`
688×	`rational_best-simplify-24`
672×	`rational_best-simplify-78`
456×	`rational_best-simplify-80`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	1458
1	177	1458
2	559	1458
3	1308	1458
4	3219	1458
5	7070	1458

Stop Event

1×	node limit

Counts

54 → 21

Calls

Call 1

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

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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))
✓	0.2b	(.f64 (.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))) (sin.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2))
✓	0.3b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))))
	2.4b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 93 to 29 computations (68.8% saved)

series6.0ms (0%)

Counts

3 → 76

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	lambda1	@	0	(/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))
1.0ms	lambda2	@	0	(/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))
0.0ms	lambda1	@	-inf	(/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))
0.0ms	lambda2	@	-inf	(/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))
0.0ms	lambda1	@	inf	(/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))

rewrite63.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1084×	`rational_best-5`
1084×	`rational_best-2`
1084×	`rational_best-3`
1084×	`rational_best-1`
1082×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	109
1	124	71
2	510	71
3	2035	71

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

Inputs

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

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

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

Outputs

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

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simplify162.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1110×	`rational_best-simplify-1`
946×	`rational_best-simplify-44`
638×	`rational_best-simplify-2`
568×	`rational_best-simplify-80`
512×	`rational_best-simplify-49`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	227	4285
1	588	4089
2	1206	3925
3	3075	3733
4	5650	3709

Stop Event

1×	node limit

Counts

121 → 131

Calls

Call 1

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

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

localize43.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 92 to 19 computations (79.3% saved)

series5.0ms (0%)

Counts

2 → 20

Calls

15 calls:

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

rewrite70.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1548×	`rational_best-5`
1548×	`rational_best-2`
1548×	`rational_best-3`
1548×	`rational_best-1`
1546×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	156	50
2	768	50
3	2865	50

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 phi1) (cos.f64 lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 phi1) (cos.f64 lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 phi1) (cos.f64 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 phi1) (cos.f64 lambda2)) (/.f64 (*.f64 (sin.f64 phi1) (cos.f64 lambda2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 (cis.f64 phi1) (cis.f64 lambda2)) (-.f64 0 (/.f64 1 (*.f64 (cis.f64 phi1) (cis.f64 lambda2))))) (+.f64 (cis.f64 (-.f64 phi1 lambda2)) (-.f64 0 (/.f64 1 (cis.f64 (-.f64 phi1 lambda2)))))) (*.f64 (I.f64) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 phi1) (*.f64 (cos.f64 lambda2) 2)) 2)))))

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

simplify214.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

864×	`rational_best-simplify-47`
670×	`rational_best-simplify-1`
668×	`rational_best-simplify-78`
564×	`rational_best-simplify-24`
564×	`rational_best-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	4294969284
1	359	4294969182
2	808	4294969092
3	2430	4294969092
4	4255	4294969092
5	6565	4294969092

Stop Event

1×	node limit

Counts

48 → 120

Calls

Call 1

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

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

localize75.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(atan2.f64 (.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (pow.f64 (sin.f64 (neg.f64 lambda2)) 2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	2.4b	(sin.f64 (-.f64 lambda1 lambda2))
	2.6b	(cos.f64 (-.f64 lambda1 lambda2))
✓	3.8b	(*.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (pow.f64 (sin.f64 (neg.f64 lambda2)) 2))

Compiler

Compiled 140 to 41 computations (70.7% saved)

series20.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
14.0ms	lambda2	@	inf	(*.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (pow.f64 (sin.f64 (neg.f64 lambda2)) 2))
1.0ms	lambda1	@	0	(*.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (pow.f64 (sin.f64 (neg.f64 lambda2)) 2))
1.0ms	lambda2	@	-inf	(*.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (pow.f64 (sin.f64 (neg.f64 lambda2)) 2))
1.0ms	lambda1	@	inf	(*.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (pow.f64 (sin.f64 (neg.f64 lambda2)) 2))
1.0ms	lambda2	@	0	(*.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (pow.f64 (sin.f64 (neg.f64 lambda2)) 2))

rewrite99.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1836×	`rational_best-simplify-47`
964×	`rational_best-simplify-54`
612×	`rational_best-5`
610×	`rational_best-4`
610×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	140
1	268	140
2	1149	140
3	4377	140

Stop Event

1×	node limit

Counts

2 → 21

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify214.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1776×	`rational_best-simplify-132`
936×	`rational_best-simplify-1`
824×	`rational_best-simplify-47`
644×	`rational_best-simplify-78`
506×	`rational_best-simplify-80`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	7895
1	419	7837
2	902	7811
3	2508	7811
4	4548	7811

Stop Event

1×	node limit

Counts

93 → 57

Calls

Call 1

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

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

eval525.0ms (1.4%)

Compiler: Compiled 50630 to 15704 computations (69% saved)

prune558.0ms (1.5%)

Pruning

76 alts after pruning (74 fresh and 2 done)

	Pruned	Kept	Total
New	1141	23	1164
Fresh	15	51	66
Picked	1	0	1
Done	4	2	6
Total	1161	76	1237

Error

9.2b

Counts

1237 → 76

Alt Table

Click to see full alt table

Status	Error	Program
	31.2b	(atan2.f64 (/.f64 (.f64 (pow.f64 (sin.f64 (neg.f64 lambda2)) 2) (cos.f64 phi2)) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))))
	46.2b	(atan2.f64 (+.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 lambda1 (cos.f64 phi2)))) phi2)
	39.1b	(atan2.f64 (+.f64 (.f64 (cos.f64 lambda1) (neg.f64 lambda2)) (sin.f64 lambda1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	45.8b	(atan2.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi2 2) (sin.f64 (-.f64 lambda1 lambda2)))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) 1))) phi2)
	29.4b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (.f64 (sin.f64 (neg.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
	28.5b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 (neg.f64 lambda2)) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
	40.5b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
	46.2b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)) (cos.f64 phi2)) phi2)
	28.5b	(atan2.f64 (.f64 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	40.8b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (cos.f64 lambda1) (neg.f64 lambda2)) (.f64 (pow.f64 lambda2 2) (.f64 -1/2 (sin.f64 lambda1))))) (cos.f64 phi2)) (sin.f64 phi2))
	32.0b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
	37.2b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
	25.8b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
	26.1b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	38.5b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (*.f64 phi1 (neg.f64 (cos.f64 lambda2)))))
	42.4b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda2))))
	38.7b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) (sin.f64 phi2))
	45.5b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))) (cos.f64 phi2)) phi2)
	33.4b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	33.3b	(atan2.f64 (.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))))) (pow.f64 (sin.f64 (neg.f64 lambda2)) 2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	31.1b	(atan2.f64 (.f64 (.f64 (/.f64 1 (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))) (sin.f64 (-.f64 lambda1 lambda2)))) (pow.f64 (sin.f64 lambda1) 2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	31.1b	(atan2.f64 (.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (pow.f64 (sin.f64 lambda1) 2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	32.6b	(atan2.f64 (.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)) (sin.f64 phi2))
	32.5b	(atan2.f64 (.f64 (.f64 (/.f64 1 (sin.f64 (neg.f64 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	42.7b	(atan2.f64 (.f64 (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (+.f64 (sin.f64 (neg.f64 lambda2)) (.f64 (cos.f64 (neg.f64 lambda2)) lambda1)))) (sin.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)) (sin.f64 phi2))
	41.1b	(atan2.f64 (.f64 (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 lambda2))))) (sin.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)) (sin.f64 phi2))
	33.3b	(atan2.f64 (.f64 (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))))) (sin.f64 (-.f64 lambda1 lambda2))) (cos.f64 phi2)) (sin.f64 phi2))
	41.7b	(atan2.f64 (.f64 (.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))) (sin.f64 (neg.f64 lambda2))) (cos.f64 phi2)) (sin.f64 phi2))
	41.0b	(atan2.f64 (.f64 (.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2)))) (sin.f64 lambda1)) (cos.f64 phi2)) (sin.f64 phi2))
	44.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)) (sin.f64 phi2))
	43.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)) phi2)
	25.6b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))
	24.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) (sin.f64 phi1)) (cos.f64 lambda1))))
	29.2b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) (sin.f64 phi1))))
	19.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 (neg.f64 lambda2))))))
	25.3b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 lambda1))) (cos.f64 (neg.f64 lambda2))))))
	32.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (pow.f64 phi2 2) (*.f64 -1/2 (sin.f64 phi1))) (sin.f64 phi1)))))
	23.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))) (sin.f64 phi1)))))
	25.3b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (pow.f64 (cos.f64 lambda2) 2)))))
	19.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))
	19.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (sin.f64 phi1)))) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (*.f64 (sin.f64 phi1) 2) (cos.f64 lambda1))))))
	37.2b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))) (*.f64 phi2 (cos.f64 phi1))))
	19.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (sin.f64 phi1))) (+.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (neg.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (*.f64 (sin.f64 phi1) 2)))))))
	42.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (.f64 -1/6 (pow.f64 phi2 3)) phi2))
	32.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda1) (neg.f64 phi1)))))
	19.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (.f64 (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))))
	32.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (/.f64 1 (sin.f64 phi2)) (*.f64 (sin.f64 phi2) (sin.f64 phi2))))
	36.4b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))))
✓	32.1b	(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
	36.7b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))) (sin.f64 phi1))))
	32.2b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	40.0b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (+.f64 (cos.f64 lambda2) (.f64 (sin.f64 (neg.f64 lambda2)) (neg.f64 lambda1))))))
	37.8b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	36.7b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
	39.5b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))
✓	36.7b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	42.6b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	41.7b	(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
	47.0b	(atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) phi2)
	32.4b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (/.f64 1 (cos.f64 lambda1))) (cos.f64 (-.f64 lambda1 lambda2))))))
	32.2b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	34.2b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
	32.4b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	36.6b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	41.0b	(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))
	47.2b	(atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) phi2)
	42.6b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 lambda1 (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
	39.6b	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
	48.3b	(atan2.f64 (.f64 (cos.f64 phi2) (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
	42.6b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))
	41.5b	(atan2.f64 (sin.f64 (neg.f64 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	32.1b	(.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (/.f64 1 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)))))
	32.8b	(.f64 (/.f64 (/.f64 1 (atan2.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (pow.f64 (sin.f64 (neg.f64 lambda2)) 2) (cos.f64 phi2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) (.f64 (atan2.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (pow.f64 (sin.f64 (neg.f64 lambda2)) 2) (cos.f64 phi2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (atan2.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (pow.f64 (sin.f64 (neg.f64 lambda2)) 2) (cos.f64 phi2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))) (.f64 (.f64 (atan2.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (pow.f64 (sin.f64 (neg.f64 lambda2)) 2) (cos.f64 phi2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (atan2.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (pow.f64 (sin.f64 (neg.f64 lambda2)) 2) (cos.f64 phi2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))) (.f64 (atan2.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (pow.f64 (sin.f64 (neg.f64 lambda2)) 2) (cos.f64 phi2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))) (atan2.f64 (.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (pow.f64 (sin.f64 (neg.f64 lambda2)) 2) (cos.f64 phi2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))))))))
	43.6b	(.f64 (/.f64 (/.f64 1 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) phi2)) (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) phi2) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) phi2))) (.f64 (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) phi2) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) phi2)) (.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) phi2) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) phi2))))
	38.1b	(.f64 (/.f64 (/.f64 1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))) (.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))))) (.f64 (.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))) (.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))))))
	37.2b	(.f64 (/.f64 1 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))) (.f64 (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))))

Compiler

Compiled 2503 to 1389 computations (44.5% saved)

regimes504.0ms (1.4%)

Counts

127 → 1

Calls

Call 1

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

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

Calls

6 calls:

80.0ms	phi1
75.0ms	lambda2
71.0ms	phi2
69.0ms	lambda1
67.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
13.4b	1	`lambda1`
13.4b	1	`lambda2`
13.4b	1	`phi1`
13.4b	1	`phi2`
13.4b	1	`(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
13.4b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 3798 to 716 computations (81.1% saved)

regimes409.0ms (1.1%)

Counts

62 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

98.0ms	(-.f64 lambda1 lambda2)
87.0ms	lambda2
86.0ms	phi2
85.0ms	lambda1
32.0ms	phi1

Results

Error	Segments	Branch
13.1b	3	`lambda1`
12.6b	3	`lambda2`
19.1b	1	`phi1`
16.1b	3	`phi2`
17.5b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1181 to 271 computations (77.1% saved)

bsearch268.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
136.0ms	0.004259251913853966	5015.555182163305
130.0ms	-273310860313.084	-253807071.22695675

Results

185.0ms	142×	body	1024	valid
41.0ms	65×	body	512	valid
24.0ms	60×	body	256	valid
12.0ms	5×	body	2048	valid

Compiler

Compiled 962 to 644 computations (33.1% saved)

regimes681.0ms (1.9%)

Counts

60 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

172.0ms	phi2
143.0ms	lambda1
138.0ms	lambda2
114.0ms	phi1
93.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
13.1b	3	`lambda1`
13.4b	3	`lambda2`
19.1b	1	`phi1`
16.1b	3	`phi2`
17.5b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1135 to 269 computations (76.3% saved)

bsearch346.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
244.0ms	0.0009194954111066417	630.3278890175811
101.0ms	-187.06422370933004	-69.75401179814041

Results

285.0ms	131×	body	1024	valid
25.0ms	33×	body	512	valid
20.0ms	55×	body	256	valid
11.0ms	5×	body	2048	valid

Compiler

Compiled 781 to 522 computations (33.2% saved)

regimes820.0ms (2.3%)

Counts

59 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

249.0ms	lambda1
215.0ms	(-.f64 lambda1 lambda2)
116.0ms	lambda2
91.0ms	phi2
38.0ms	phi1

Results

Error	Segments	Branch
13.3b	3	`lambda1`
16.5b	3	`lambda2`
19.8b	1	`phi1`
16.9b	3	`phi2`
17.1b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1113 to 268 computations (75.9% saved)

bsearch227.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
149.0ms	0.0009194954111066417	630.3278890175811
78.0ms	-187.06422370933004	-69.75401179814041

Results

167.0ms	134×	body	1024	valid
31.0ms	44×	body	512	valid
16.0ms	42×	body	256	valid
9.0ms	4×	body	2048	valid

Compiler

Compiled 781 to 522 computations (33.2% saved)

regimes420.0ms (1.2%)

Counts

58 → 4

Calls

Call 1

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

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

Calls

5 calls:

112.0ms	lambda2
95.0ms	lambda1
82.0ms	(-.f64 lambda1 lambda2)
79.0ms	phi2
29.0ms	phi1

Results

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

Compiler

Compiled 1091 to 265 computations (75.7% saved)

bsearch315.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
149.0ms	0.004259251913853966	5015.555182163305
124.0ms	2.0667145588517513e-244	1.0711379905638016e-242
41.0ms	-1.9052051889550843e-171	-1.4809292272414812e-171

Results

212.0ms	166×	body	1024	valid
53.0ms	71×	body	512	valid
26.0ms	7×	body	2048	valid
18.0ms	60×	body	256	valid

Compiler

Compiled 954 to 653 computations (31.6% saved)

regimes365.0ms (1%)

Counts

55 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

82.0ms	lambda2
81.0ms	phi2
81.0ms	(-.f64 lambda1 lambda2)
73.0ms	lambda1
24.0ms	phi1

Results

Error	Segments	Branch
21.3b	3	`lambda1`
20.2b	3	`lambda2`
22.4b	1	`phi1`
19.9b	3	`phi2`
20.0b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1028 to 257 computations (75% saved)

bsearch242.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
113.0ms	1.0640958485149517e+33	4.3216423567569564e+33
129.0ms	-2478611.5192863485	-3193.6436526273164

Results

172.0ms	120×	body	1024	valid
36.0ms	55×	body	512	valid
16.0ms	8×	body	2048	valid
13.0ms	41×	body	256	valid

Compiler

Compiled 735 to 485 computations (34% saved)

regimes839.0ms (2.3%)

Counts

45 → 4

Calls

Call 1

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

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

Calls

5 calls:

275.0ms	(-.f64 lambda1 lambda2)
204.0ms	phi2
196.0ms	lambda2
59.0ms	lambda1
27.0ms	phi1

Results

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

Compiler

Compiled 790 to 204 computations (74.2% saved)

bsearch912.0ms (2.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
520.0ms	0.004259251913853966	5015.555182163305
105.0ms	-9.846928496645617e-284	-2.107909403590231e-284
286.0ms	-1.0820659470925754e+75	-2.8319077011518194e+65

Results

438.0ms	207×	body	1024	valid
66.0ms	91×	body	512	valid
25.0ms	79×	body	256	valid
14.0ms	7×	body	2048	valid

Compiler

Compiled 1187 to 833 computations (29.8% saved)

regimes380.0ms (1%)

Counts

43 → 4

Calls

Call 1

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

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

Calls

5 calls:

97.0ms	phi2
97.0ms	(-.f64 lambda1 lambda2)
79.0ms	lambda2
71.0ms	lambda1
23.0ms	phi1

Results

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

Compiler

Compiled 749 to 199 computations (73.4% saved)

bsearch402.0ms (1.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
158.0ms	0.004259251913853966	5015.555182163305
97.0ms	-9.846928496645617e-284	-2.107909403590231e-284
146.0ms	-1.0820659470925754e+75	-2.8319077011518194e+65

Results

300.0ms	231×	body	1024	valid
53.0ms	82×	body	512	valid
21.0ms	62×	body	256	valid
21.0ms	9×	body	2048	valid

Compiler

Compiled 1169 to 824 computations (29.5% saved)

regimes235.0ms (0.6%)

Counts

42 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

62.0ms	phi2
59.0ms	lambda2
55.0ms	lambda1
25.0ms	phi1
20.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
22.0b	3	`lambda1`
21.5b	3	`lambda2`
25.2b	1	`phi1`
24.1b	2	`phi2`
25.2b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 730 to 195 computations (73.3% saved)

bsearch291.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
150.0ms	0.004259251913853966	5015.555182163305
139.0ms	-1.0820659470925754e+75	-2.8319077011518194e+65

Results

204.0ms	162×	body	1024	valid
49.0ms	74×	body	512	valid
16.0ms	8×	body	2048	valid
14.0ms	44×	body	256	valid

Compiler

Compiled 881 to 635 computations (27.9% saved)

regimes314.0ms (0.9%)

Counts

40 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

82.0ms	(-.f64 lambda1 lambda2)
57.0ms	lambda2
57.0ms	phi2
55.0ms	phi1
50.0ms	lambda1

Results

Error	Segments	Branch
25.1b	3	`lambda1`
25.0b	3	`lambda2`
25.5b	3	`phi1`
26.1b	3	`phi2`
27.3b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 692 to 193 computations (72.1% saved)

bsearch350.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
137.0ms	0.004259251913853966	5015.555182163305
212.0ms	-4.750513986538966e-14	-6.274602624956954e-20

Results

257.0ms	143×	body	1024	valid
46.0ms	76×	body	512	valid
21.0ms	61×	body	256	valid
20.0ms	8×	body	2048	valid

Compiler

Compiled 881 to 635 computations (27.9% saved)

regimes327.0ms (0.9%)

Counts

39 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

74.0ms	lambda2
72.0ms	(-.f64 lambda1 lambda2)
62.0ms	phi2
53.0ms	phi1
52.0ms	lambda1

Results

Error	Segments	Branch
27.9b	3	`lambda1`
26.3b	4	`lambda2`
25.5b	3	`phi1`
26.1b	3	`phi2`
27.3b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 673 to 192 computations (71.5% saved)

bsearch267.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
108.0ms	999234549130.4171	14655977595666.012
158.0ms	-0.0018681893245357118	-4.546746194587402e-10

Results

194.0ms	147×	body	1024	valid
38.0ms	59×	body	512	valid
19.0ms	28×	body	256	valid
12.0ms	6×	body	2048	valid

Compiler

Compiled 731 to 500 computations (31.6% saved)

regimes288.0ms (0.8%)

Counts

38 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

70.0ms	lambda2
57.0ms	(-.f64 lambda1 lambda2)
53.0ms	phi1
49.0ms	phi2
46.0ms	lambda1

Results

Error	Segments	Branch
30.2b	3	`lambda1`
29.0b	4	`lambda2`
25.7b	3	`phi1`
26.1b	3	`phi2`
28.4b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 655 to 191 computations (70.8% saved)

bsearch256.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
107.0ms	999234549130.4171	14655977595666.012
149.0ms	-0.0018681893245357118	-4.546746194587402e-10

Results

184.0ms	141×	body	1024	valid
30.0ms	47×	body	512	valid
22.0ms	11×	body	2048	valid
16.0ms	41×	body	256	valid

Compiler

Compiled 695 to 473 computations (31.9% saved)

regimes249.0ms (0.7%)

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

65.0ms	lambda2
54.0ms	phi1
46.0ms	(-.f64 lambda1 lambda2)
38.0ms	phi2
37.0ms	lambda1

Results

Error	Segments	Branch
30.4b	3	`lambda1`
28.9b	5	`lambda2`
25.9b	3	`phi1`
26.1b	3	`phi2`
28.4b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 448 to 143 computations (68.1% saved)

bsearch247.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
105.0ms	999234549130.4171	14655977595666.012
141.0ms	-0.0018681893245357118	-4.546746194587402e-10

Results

172.0ms	155×	body	1024	valid
34.0ms	41×	body	512	valid
19.0ms	35×	body	256	valid
18.0ms	9×	body	2048	valid

Compiler

Compiled 680 to 473 computations (30.4% saved)

regimes230.0ms (0.6%)

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

60.0ms	lambda2
48.0ms	phi1
37.0ms	lambda1
36.0ms	phi2
36.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
30.4b	3	`lambda1`
30.4b	3	`lambda2`
26.1b	3	`phi1`
27.4b	3	`phi2`
28.4b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 390 to 129 computations (66.9% saved)

bsearch251.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
105.0ms	2060.248838326662	48407.89664440647
146.0ms	-0.0018681893245357118	-4.546746194587402e-10

Results

177.0ms	151×	body	1024	valid
42.0ms	63×	body	512	valid
16.0ms	36×	body	256	valid
12.0ms	6×	body	2048	valid

Compiler

Compiled 579 to 423 computations (26.9% saved)

regimes45.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	phi1
9.0ms	(-.f64 lambda1 lambda2)
7.0ms	lambda1
6.0ms	lambda2
6.0ms	phi2

Results

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

Compiler

Compiled 160 to 74 computations (53.8% saved)

regimes102.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

32.0ms	(-.f64 lambda1 lambda2)
25.0ms	phi2
18.0ms	lambda1
13.0ms	lambda2
12.0ms	phi1

Results

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

Compiler

Compiled 93 to 49 computations (47.3% saved)

bsearch263.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
141.0ms	0.004259251913853966	5015.555182163305
122.0ms	-164664091.18758073	-36925.23691514283

Results

191.0ms	156×	body	1024	valid
36.0ms	44×	body	512	valid
21.0ms	67×	body	256	valid
10.0ms	5×	body	2048	valid

Compiler

Compiled 494 to 380 computations (23.1% saved)

regimes85.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

22.0ms	lambda1
17.0ms	lambda2
17.0ms	(-.f64 lambda1 lambda2)
14.0ms	phi1
12.0ms	phi2

Results

Error	Segments	Branch
36.9b	3	`lambda1`
37.0b	3	`lambda2`
39.9b	3	`phi1`
36.5b	3	`phi2`
39.7b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 84 to 48 computations (42.9% saved)

bsearch257.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
139.0ms	1.0368895050793848e-22	4.183497721134468e-12
117.0ms	-2.8855691541562834e+150	-3.955568041046258e+148

Results

182.0ms	153×	body	1024	valid
47.0ms	77×	body	512	valid
14.0ms	7×	body	2048	valid
10.0ms	35×	body	256	valid

Compiler

Compiled 494 to 363 computations (26.5% saved)

regimes36.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Error	Segments	Branch
42.6b	1	`lambda1`
42.6b	1	`lambda2`
42.6b	1	`phi1`
41.1b	2	`phi2`
42.6b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 76 to 47 computations (38.2% saved)

bsearch107.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
106.0ms	3699928369448.164	96175957073515.13

Results

59.0ms	53×	body	1024	valid
26.0ms	35×	body	512	valid
13.0ms	4×	body	2048	valid
7.0ms	20×	body	256	valid

Compiler

Compiled 217 to 156 computations (28.1% saved)

regimes31.0ms (0.1%)

Accuracy

Total -13.7b remaining (-33%)

Threshold costs -13.7b (-33%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

5 calls:

14.0ms	lambda2
6.0ms	phi2
4.0ms	(-.f64 lambda1 lambda2)
3.0ms	phi1
3.0ms	lambda1

Results

Error	Segments	Branch
42.6b	1	`lambda1`
42.6b	1	`lambda2`
42.6b	1	`phi1`
41.5b	2	`phi2`
42.6b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 53 to 37 computations (30.2% saved)

bsearch141.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
141.0ms	-17726933881478842.0	-3431864173.018854

Results

98.0ms	88×	body	1024	valid
17.0ms	22×	body	512	valid
15.0ms	5×	body	2048	valid
9.0ms	29×	body	256	valid

Compiler

Compiled 251 to 185 computations (26.3% saved)

simplify37.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	3202

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(if (<=.f64 lambda2 -255000000) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (if (<=.f64 lambda2 2132904783522667/288230376151711744) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))))
(if (<=.f64 lambda1 -76) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (if (<=.f64 lambda1 5072854620270127/2305843009213693952) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))))
(if (<=.f64 lambda1 -70) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (if (<=.f64 lambda1 7926335344172073/36028797018963968) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))))
(if (<=.f64 lambda2 -8267056630594417/4351082437154956072465106588077822995084026820419845514849846380137705962380101572519219218556758308199541387151331336317719177934050977705242787666055883587123865770683541250307916824576) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (if (<=.f64 lambda2 5045051308956759/480481077043500814718154092512592439123952613987168226347385561008808420007630829308634252709141208374307457227821149607627692202643343568752733498024953930242542523045817764949544214392905306388478705146745768073877141698859815495632935288783334250628775936) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (if (<=.f64 lambda2 8286623314361713/72057594037927936) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))))
(if (<=.f64 phi2 -3200) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (if (<=.f64 phi2 1080000000000000050748792403656704) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))))
(if (<=.f64 lambda2 -4800000000000000348150894631340328605560197166303305386487408746299392) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (if (<=.f64 lambda2 -533661513344723/20927902484106783612273926739453160362527437728623703270385749772858418967283908642445280836244059729054583455420959898929436431361178008664032378075583153913934702685203576143400536338012443636480379262017668896452308479037888217888995203019681763505021868120481527671211777014946532005541417320448) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))) (if (<=.f64 lambda2 7656119366529843/9007199254740992) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))))
(if (<=.f64 lambda2 -1150000000000000083411151838758620395082130571093500248845941678800896) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 lambda2 -6278370745232035/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))) (if (<=.f64 lambda2 1098878309078401/9007199254740992) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))))
(if (<=.f64 lambda2 -4800000000000000348150894631340328605560197166303305386487408746299392) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 lambda2 7926335344172073/9007199254740992) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))))
(if (<=.f64 lambda2 -2855763272194155/5192296858534827628530496329220096) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 lambda2 3170534137668829/576460752303423488) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))))
(if (<=.f64 phi1 -2132904783522667/1152921504606846976) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 phi1 1000000000000) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))))))
(if (<=.f64 phi1 -2132904783522667/1152921504606846976) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1)))) (if (<=.f64 phi1 1000000000000) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))))))
(if (<=.f64 phi1 -8116567392432203/36893488147419103232) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1)))) (if (<=.f64 phi1 1000000000000) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (neg.f64 phi1))))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))))))
(if (<=.f64 phi1 -1770887431076117/147573952589676412928) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1)))) (if (<=.f64 phi1 2100) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(if (<=.f64 lambda2 -38000) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (if (<=.f64 lambda2 5224175567749775/36028797018963968) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))
(if (<=.f64 phi2 -519999999999999957326767416365124712378451052335561726493544470350819345678853900018907134577528449342007789219051072594781384530250363044024280940544) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2)) (if (<=.f64 phi2 5075554161070059/1237940039285380274899124224) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) phi2) (atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))))
(if (<=.f64 phi2 60000000000000) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) phi2) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2)))
(if (<=.f64 phi2 -2000000000000) (atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) phi2) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2)))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))

Outputs
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(if (<=.f64 lambda2 -255000000) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (if (<=.f64 lambda2 2132904783522667/288230376151711744) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))))
(if (<=.f64 lambda1 -76) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (if (<=.f64 lambda1 5072854620270127/2305843009213693952) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))))
(if (<=.f64 lambda1 -70) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (if (<=.f64 lambda1 7926335344172073/36028797018963968) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (cos.f64 lambda2))))) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))))
(if (<=.f64 lambda2 -8267056630594417/4351082437154956072465106588077822995084026820419845514849846380137705962380101572519219218556758308199541387151331336317719177934050977705242787666055883587123865770683541250307916824576) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (if (<=.f64 lambda2 5045051308956759/480481077043500814718154092512592439123952613987168226347385561008808420007630829308634252709141208374307457227821149607627692202643343568752733498024953930242542523045817764949544214392905306388478705146745768073877141698859815495632935288783334250628775936) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (if (<=.f64 lambda2 8286623314361713/72057594037927936) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2)))))))
(if (<=.f64 phi2 -3200) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (if (<=.f64 phi2 1080000000000000050748792403656704) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (*.f64 (cos.f64 phi2) (sin.f64 phi1))))))
(if (<=.f64 lambda2 -4800000000000000348150894631340328605560197166303305386487408746299392) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (if (<=.f64 lambda2 -533661513344723/20927902484106783612273926739453160362527437728623703270385749772858418967283908642445280836244059729054583455420959898929436431361178008664032378075583153913934702685203576143400536338012443636480379262017668896452308479037888217888995203019681763505021868120481527671211777014946532005541417320448) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))) (if (<=.f64 lambda2 7656119366529843/9007199254740992) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))))
(if (<=.f64 lambda2 -1150000000000000083411151838758620395082130571093500248845941678800896) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 lambda2 -6278370745232035/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))) (if (<=.f64 lambda2 1098878309078401/9007199254740992) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))))))
(if (<=.f64 lambda2 -4800000000000000348150894631340328605560197166303305386487408746299392) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 lambda2 7926335344172073/9007199254740992) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 lambda1)))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))))
(if (<=.f64 lambda2 -2855763272194155/5192296858534827628530496329220096) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 lambda2 3170534137668829/576460752303423488) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))))
(if (<=.f64 phi1 -2132904783522667/1152921504606846976) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 lambda2)))) (if (<=.f64 phi1 1000000000000) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))))))
(if (<=.f64 phi1 -2132904783522667/1152921504606846976) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1)))) (if (<=.f64 phi1 1000000000000) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))))))
(if (<=.f64 phi1 -8116567392432203/36893488147419103232) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1)))) (if (<=.f64 phi1 1000000000000) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (+.f64 (sin.f64 phi2) (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (neg.f64 phi1))))) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))))))
(if (<=.f64 phi1 -1770887431076117/147573952589676412928) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1)))) (if (<=.f64 phi1 2100) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (neg.f64 (cos.f64 lambda1))))))
(atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))
(if (<=.f64 lambda2 -38000) (atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2)) (if (<=.f64 lambda2 5224175567749775/36028797018963968) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2)) (atan2.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (sin.f64 phi2))))
(if (<=.f64 phi2 -519999999999999957326767416365124712378451052335561726493544470350819345678853900018907134577528449342007789219051072594781384530250363044024280940544) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2)) (if (<=.f64 phi2 5075554161070059/1237940039285380274899124224) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) phi2) (atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) (sin.f64 phi2))))
(if (<=.f64 phi2 60000000000000) (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) phi2) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2)))
(if (<=.f64 phi2 -2000000000000) (atan2.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi2)) phi2) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2)))
(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi2))

Compiler

Compiled 1119 to 512 computations (54.2% saved)

soundness497.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

1610×	`rational_best-simplify-78`
1260×	`rational_best-simplify-51`
1108×	`rational_best-simplify-52`
1016×	`rational_best-simplify-2`
998×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	2672
1	454	2496
2	1055	2280
3	2178	2144
4	4452	2128
5	7138	2128
0	20	77
1	100	77
2	170	77
3	248	77
4	364	77
5	559	77
6	811	77
7	1146	77
8	1646	77
9	2639	77
10	4290	77
11	7924	77

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 362 to 120 computations (66.9% saved)

end182.0ms (0.5%)

Compiler: Compiled 1043 to 174 computations (83.3% saved)