Details

analyze1.0s (2.5%)

Algorithm

1×

Search

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

Compiler

Compiled 29 to 18 computations (37.9% saved)

sample12.5s (30.2%)

Results

9.1s	5508×	body	1024	valid
1.4s	1297×	body	512	valid
1.0s	199×	body	2048	valid
974.0ms	1252×	body	256	valid

Bogosity

preprocess55.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

1904×	`trig.json-simplify-33`
1248×	`rational_best.json-simplify-46`
1034×	`rational_best.json-simplify-45`
864×	`trig.json-simplify-47`
800×	`trig.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	539
1	161	539
2	733	539
3	3869	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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (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 (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 (sin.f64 phi1) (.f64 (cos.f64 phi2) (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 (sin.f64 lambda1) (.f64 (cos.f64 (-.f64 phi1 lambda2)) (cos.f64 phi2)))))
(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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 phi2 lambda2)) (cos.f64 lambda1)))))
(atan2.f64 (.f64 (cos.f64 lambda1) (sin.f64 (-.f64 phi2 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (.f64 (sin.f64 phi1) (cos.f64 (-.f64 phi2 lambda2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 phi1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 phi1))) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 lambda2)) (.f64 (.f64 (cos.f64 phi2) (sin.f64 lambda2)) (cos.f64 (-.f64 lambda1 phi1)))))
(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 phi1))) (-.f64 (.f64 (sin.f64 phi2) (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 phi1)) (sin.f64 lambda2)))))
(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 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 phi2)) (cos.f64 lambda2)))))
(atan2.f64 (.f64 (cos.f64 lambda2) (sin.f64 (-.f64 lambda1 phi2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 lambda1 phi2))))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (-.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (.f64 (.f64 (sin.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (-.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (-.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

Compiler

Compiled 32 to 21 computations (34.4% saved)

simplify55.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1182×	`trig.json-simplify-47`
1012×	`rational_best.json-simplify-1`
990×	`rational_best.json-simplify-46`
928×	`rational_best.json-simplify-45`
898×	`trig.json-simplify-33`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	46	77
2	165	77
3	744	77
4	2872	77

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	1	6

Error

13.0b

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.0b	(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 28 to 17 computations (39.3% saved)

localize31.0ms (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))))
✓	3.4b	(cos.f64 (-.f64 lambda1 lambda2))
✓	3.5b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 96 to 17 computations (82.3% saved)

series39.0ms (0.1%)

Counts

4 → 116

Calls

33 calls:

Time	Variable		Point	Expression
26.0ms	phi1	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
2.0ms	lambda1	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
1.0ms	phi2	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
1.0ms	lambda2	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
1.0ms	phi1	@	0	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))

rewrite88.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1068×	`rational_best.json-simplify-47`
836×	`rational_best.json-simplify-2`
832×	`rational_best.json-simplify-46`
820×	`rational_best.json-simplify-45`
648×	`rational_best.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	149	74
2	713	74
3	4222	74

Stop Event

1×	node limit

Counts

4 → 81

Calls

Call 1

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

simplify137.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1156×	`rational_best.json-simplify-1`
1136×	`rational_best.json-simplify-44`
734×	`trig.json-simplify-33`
558×	`rational_best.json-simplify-46`
556×	`rational_best.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	6999
1	1010	6469
2	4029	6121

Stop Event

1×	node limit

Counts

197 → 254

Calls

Call 1

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

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

eval135.0ms (0.3%)

Compiler: Compiled 9397 to 2351 computations (75% saved)

prune270.0ms (0.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	234	20	254
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	235	20	255

Error

6.8b

Counts

255 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	49.9b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (/.f64 (PI.f64) 2)))) (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 (+.f64 lambda1 phi2))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	37.0b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1))) (.f64 (sin.f64 lambda2) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
▶	7.0b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	43.3b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (cos.f64 (-.f64 (PI.f64) lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 (-.f64 (PI.f64) lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	27.7b	(atan2.f64 (.f64 (+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	26.4b	(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 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	24.9b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 lambda2 (neg.f64 (cos.f64 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	22.0b	(atan2.f64 (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	33.7b	(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 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	33.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (pow.f64 phi1 5) (.f64 1/120 (cos.f64 phi2))) (.f64 phi1 (cos.f64 phi2)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 -1/6 (pow.f64 phi1 3))) (.f64 (cos.f64 phi2) (*.f64 -1/5040 (pow.f64 phi1 7))))))))
▶	21.0b	(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))))))
▶	13.0b	(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 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))))))
	18.4b	(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 lambda2)))))
▶	19.3b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
▶	20.5b	(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)) (sin.f64 phi1))))
	18.5b	(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)))))
	30.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))))
	34.4b	(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 (-.f64 lambda1 lambda2))))))
	32.2b	(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) (cos.f64 (-.f64 lambda1 lambda2))))))
	47.7b	(atan2.f64 (.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (/.f64 (PI.f64) 2))) (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 1412 to 878 computations (37.8% saved)

localize52.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2))
✓	0.2b	(*.f64 (cos.f64 lambda2) (sin.f64 lambda1))
	0.2b	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
	3.4b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 142 to 24 computations (83.1% saved)

series14.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	lambda2	@	0	(.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2))
3.0ms	lambda2	@	inf	(.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2))
2.0ms	phi2	@	inf	(.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2))
1.0ms	lambda1	@	inf	(.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2))
1.0ms	phi2	@	0	(.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2))

rewrite78.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1084×	`rational_best.json-simplify-47`
804×	`rational_best.json-simplify-2`
622×	`rational_best.json-simplify-1`
616×	`rational_best.json-simplify-46`
608×	`rational_best.json-simplify-45`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	64
1	157	64
2	655	64
3	3621	64

Stop Event

1×	node limit

Counts

2 → 17

Calls

Call 1

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

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

Outputs

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

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

simplify141.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1240×	`trig.json-simplify-47`
1166×	`rational_best.json-simplify-1`
804×	`trig.json-simplify-33`
702×	`rational_best.json-simplify-2`
596×	`rational_best.json-simplify-46`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	3611
1	376	3343
2	992	3213
3	3217	3139

Stop Event

1×	node limit

Counts

77 → 116

Calls

Call 1

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

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

localize27.0ms (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 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))
	3.4b	(cos.f64 (-.f64 lambda1 lambda2))
	3.5b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 80 to 16 computations (80% saved)

series185.0ms (0.4%)

Counts

1 → 20

Calls

9 calls:

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

rewrite54.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1138×	`rational_best.json-5`
1136×	`rational_best.json-2`
1136×	`rational_best.json-3`
1136×	`rational_best.json-1`
1136×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	93	21
2	398	21
3	2105	21

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify78.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1278×	`rational_best.json-simplify-1`
1252×	`trig.json-simplify-33`
1232×	`rational_best.json-simplify-46`
1050×	`rational_best.json-simplify-45`
666×	`rational_best.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1319
1	333	1159
2	1045	991
3	4110	959

Stop Event

1×	node limit

Counts

31 → 62

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

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

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
	0.2b	(*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))
✓	0.2b	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))
	3.5b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 86 to 17 computations (80.2% saved)

series9.0ms (0%)

Counts

2 → 28

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	phi1	@	0	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))
1.0ms	phi1	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))
1.0ms	phi1	@	inf	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
1.0ms	phi2	@	inf	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.0ms	phi1	@	0	(*.f64 (cos.f64 phi1) (sin.f64 phi2))

rewrite157.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1042×	`rational_best.json-simplify-47`
822×	`rational_best.json-simplify-2`
678×	`rational_best.json-simplify-1`
598×	`rational_best.json-simplify-45`
582×	`rational_best.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	143	40
2	686	40
3	4037	40

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

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

Outputs

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

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

simplify80.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

976×	`rational_best.json-simplify-2`
834×	`rational_best.json-simplify-1`
832×	`trig.json-simplify-47`
746×	`rational_best.json-simplify-44`
658×	`rational_best.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	1960
1	377	1840
2	984	1650
3	2844	1590

Stop Event

1×	node limit

Counts

46 → 105

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

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

localize231.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
	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))))
	3.5b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 119 to 20 computations (83.2% saved)

series12.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	lambda1	@	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))))
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	lambda2	@	-inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))

rewrite60.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`rational_best.json-5`
1860×	`rational_best.json-2`
1860×	`rational_best.json-3`
1860×	`rational_best.json-1`
1860×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	144	41
2	571	41
3	2909	41

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

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

simplify109.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1148×	`rational_best.json-simplify-43`
878×	`rational_best.json-simplify-2`
876×	`rational_best.json-simplify-46`
802×	`rational_best.json-simplify-44`
796×	`rational_best.json-simplify-45`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	2915
1	258	2697
2	677	2507
3	1951	2457
4	5991	2457

Stop Event

1×	node limit

Counts

55 → 71

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

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

localize49.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))
✓	0.4b	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))
	3.4b	(cos.f64 (-.f64 lambda1 lambda2))
	3.5b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 176 to 42 computations (76.1% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite71.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`rational_best.json-simplify-47`
872×	`rational_best.json-2`
872×	`rational_best.json-3`
872×	`rational_best.json-1`
872×	`rational_best.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	107	38
2	452	38
3	1942	38

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

Inputs

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

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

Outputs

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

simplify162.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1038×	`rational_best.json-simplify-49`
940×	`rational_best.json-simplify-46`
872×	`rational_best.json-simplify-44`
868×	`rational_best.json-simplify-45`
830×	`rational_best.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	286	3771
1	682	3717
2	1608	3677
3	5026	3495

Stop Event

1×	node limit

Counts

115 → 155

Calls

Call 1

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

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

eval577.0ms (1.4%)

Compiler: Compiled 54464 to 14157 computations (74% saved)

prune579.0ms (1.4%)

Pruning

54 alts after pruning (53 fresh and 1 done)

	Pruned	Kept	Total
New	1301	50	1351
Fresh	12	3	15
Picked	1	0	1
Done	3	1	4
Total	1317	54	1371

Error

6.5b

Counts

1371 → 54

Alt Table

Click to see full alt table

Status	Error	Program
	49.9b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (/.f64 (PI.f64) 2)))) (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 (+.f64 lambda1 phi2))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	30.8b	(atan2.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	24.8b	(atan2.f64 (+.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (.f64 lambda2 (.f64 (cos.f64 phi2) (neg.f64 (cos.f64 lambda1))))) (-.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))))))
	43.3b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1))) (.f64 (sin.f64 lambda2) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	40.9b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1))) (.f64 (sin.f64 lambda2) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	46.1b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 (+.f64 lambda2 (-.f64 lambda1 (/.f64 (PI.f64) 2))))) 2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	25.9b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (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)) (+.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))))))))
	24.4b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (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)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))))))
	18.0b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (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))))))
▶	12.5b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	13.4b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (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)))))
	25.4b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
	14.5b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
▶	11.7b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (sin.f64 lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	47.2b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (cos.f64 (-.f64 (PI.f64) lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 (-.f64 (PI.f64) lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	35.0b	(atan2.f64 (.f64 (+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) 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))))))
	32.9b	(atan2.f64 (.f64 (+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	32.8b	(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 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	31.6b	(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 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	25.5b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2))) (.f64 lambda2 (neg.f64 (cos.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))))))
	24.8b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 lambda2 (neg.f64 (cos.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))))))
	24.9b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 lambda2 (neg.f64 (cos.f64 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	28.7b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 lambda2 (neg.f64 (cos.f64 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	28.3b	(atan2.f64 (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	28.4b	(atan2.f64 (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	33.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	43.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 phi1 phi2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) phi1) phi2))) 2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
▶	47.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (cos.f64 (+.f64 lambda2 (-.f64 (-.f64 phi1 (/.f64 (PI.f64) 2)) lambda1))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi1 (/.f64 (PI.f64) 2))))) 2)))
	20.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 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))))
	26.4b	(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 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))
	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) (*.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cos.f64 lambda1) 2))))))
	18.4b	(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) (.f64 (/.f64 1 (cos.f64 lambda2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))))))
	19.2b	(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 1 (cos.f64 lambda1)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))))))
	18.4b	(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 lambda2)))))
	24.8b	(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 phi2))))
	23.8b	(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))))
	23.3b	(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))))
	33.7b	(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 (.f64 -1/6 (pow.f64 phi1 3)) (.f64 -1/5040 (pow.f64 phi1 7))) (+.f64 phi1 (.f64 1/120 (pow.f64 phi1 5)))))))
	31.2b	(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 -1/6 (pow.f64 phi1 3)) phi1))))
✓	20.5b	(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)) (sin.f64 phi1))))
▶	30.8b	(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)))
	30.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi2) (.f64 phi1 (cos.f64 lambda1)))))
	35.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	24.0b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	42.8b	(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) (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))
	40.8b	(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)))))
	39.0b	(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))))
	33.9b	(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))))))
▶	32.2b	(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) (cos.f64 (-.f64 lambda1 lambda2))))))
	32.3b	(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)))))
	35.1b	(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))))
	47.7b	(atan2.f64 (.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (/.f64 (PI.f64) 2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	48.2b	(atan2.f64 (.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (/.f64 (PI.f64) 2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	48.2b	(atan2.f64 (.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (/.f64 (PI.f64) 2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))

Compiler

Compiled 3647 to 2338 computations (35.9% saved)

localize115.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1)))
✓	0.2b	(.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (sin.f64 lambda1)) (cos.f64 phi2))
	0.2b	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
	3.4b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 126 to 22 computations (82.5% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite233.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1966×	`rational_best.json-5`
1964×	`rational_best.json-2`
1964×	`rational_best.json-3`
1964×	`rational_best.json-1`
1964×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	138	58
2	561	58
3	2972	58

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

Outputs

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

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

simplify103.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1316×	`rational_best.json-simplify-46`
1162×	`rational_best.json-simplify-45`
930×	`rational_best.json-simplify-2`
926×	`rational_best.json-simplify-43`
568×	`rational_best.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	236	3544
1	595	3270
2	1403	3068
3	4575	2980

Stop Event

1×	node limit

Counts

92 → 117

Calls

Call 1

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

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

localize79.0ms (0.2%)

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 (cos.f64 (-.f64 lambda1 lambda2)) phi1)
	3.4b	(cos.f64 (-.f64 lambda1 lambda2))
	3.5b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 75 to 15 computations (80% saved)

series3.0ms (0%)

Counts

1 → 16

Calls

9 calls:

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

rewrite286.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`rational_best.json-simplify-57`
744×	`rational_best.json-simplify-43`
606×	`rational_best.json-2`
606×	`rational_best.json-1`
606×	`rational_best.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	77	17
2	284	17
3	1287	17
4	5782	17

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

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

Outputs

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

simplify77.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1292×	`rational_best.json-simplify-2`
1000×	`rational_best.json-simplify-46`
954×	`rational_best.json-simplify-45`
850×	`rational_best.json-simplify-1`
812×	`rational_best.json-simplify-47`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	76	843
1	190	779
2	448	661
3	1240	631
4	4021	621

Stop Event

1×	node limit

Counts

25 → 47

Calls

Call 1

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

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

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
✓	0.1b	(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))
	0.2b	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
	3.4b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 90 to 17 computations (81.1% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite153.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`rational_best.json-2`
1046×	`rational_best.json-1`
1046×	`rational_best.json-5`
1044×	`rational_best.json-3`
1044×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	94	21
2	431	21
3	2234	21

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

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

Outputs

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

simplify162.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1050×	`trig.json-simplify-47`
866×	`rational_best.json-simplify-1`
782×	`trig.json-simplify-33`
580×	`rational_best.json-simplify-46`
578×	`rational_best.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	1440
1	269	1402
2	897	1306
3	2793	1256

Stop Event

1×	node limit

Counts

44 → 58

Calls

Call 1

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

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

localize89.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.8b	(+.f64 (cos.f64 (+.f64 lambda2 (-.f64 (-.f64 phi1 (/.f64 (PI.f64) 2)) lambda1))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi1 (/.f64 (PI.f64) 2)))))
	3.5b	(sin.f64 (-.f64 lambda1 lambda2))
✓	17.3b	(cos.f64 (+.f64 lambda2 (-.f64 (-.f64 phi1 (/.f64 (PI.f64) 2)) lambda1)))
✓	17.4b	(cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi1 (/.f64 (PI.f64) 2))))

Compiler

Compiled 198 to 99 computations (50% saved)

series10.0ms (0%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Expression
3.0ms	lambda1	@	(cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi1 (/.f64 (PI.f64) 2))))
1.0ms	lambda2	@	(+.f64 (cos.f64 (+.f64 lambda2 (-.f64 (-.f64 phi1 (/.f64 (PI.f64) 2)) lambda1))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi1 (/.f64 (PI.f64) 2)))))
0.0ms	lambda2	@	(cos.f64 (+.f64 lambda2 (-.f64 (-.f64 phi1 (/.f64 (PI.f64) 2)) lambda1)))
0.0ms	lambda1	@	(+.f64 (cos.f64 (+.f64 lambda2 (-.f64 (-.f64 phi1 (/.f64 (PI.f64) 2)) lambda1))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi1 (/.f64 (PI.f64) 2)))))
0.0ms	phi1	@	(+.f64 (cos.f64 (+.f64 lambda2 (-.f64 (-.f64 phi1 (/.f64 (PI.f64) 2)) lambda1))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi1 (/.f64 (PI.f64) 2)))))

rewrite116.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1986×	`rational_best.json-5`
1984×	`rational_best.json-2`
1984×	`rational_best.json-3`
1984×	`rational_best.json-1`
1984×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	129
1	166	129
2	696	129
3	3472	129

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

Inputs

(cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi1 (/.f64 (PI.f64) 2))))

(cos.f64 (+.f64 lambda2 (-.f64 (-.f64 phi1 (/.f64 (PI.f64) 2)) lambda1)))

(+.f64 (cos.f64 (+.f64 lambda2 (-.f64 (-.f64 phi1 (/.f64 (PI.f64) 2)) lambda1))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi1 (/.f64 (PI.f64) 2)))))

Outputs

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

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

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

simplify339.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

808×	`rational_best.json-simplify-1`
804×	`rational_best.json-simplify-44`
554×	`rational_best.json-simplify-2`
546×	`rational_best.json-simplify-49`
520×	`trig.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	313	9559
1	789	9343
2	2210	9215
3	6885	8643

Stop Event

1×	node limit

Counts

157 → 229

Calls

Call 1

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

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

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 127 to 22 computations (82.7% saved)

series7.0ms (0%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	phi1	@	0	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))
1.0ms	phi1	@	-inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))
1.0ms	phi1	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))
0.0ms	lambda2	@	-inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))
0.0ms	phi2	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))

rewrite61.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1852×	`rational_best.json-5`
1850×	`rational_best.json-2`
1850×	`rational_best.json-3`
1850×	`rational_best.json-1`
1850×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	112	25
2	533	25
3	2978	25

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

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

Outputs

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

simplify127.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

788×	`rational_best.json-simplify-1`
700×	`rational_best.json-simplify-2`
640×	`rational_best.json-simplify-44`
526×	`rational_best.json-simplify-47`
498×	`trig.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	1263
1	204	1223
2	543	1043
3	1455	983
4	3985	983
5	7706	983

Stop Event

1×	node limit

Counts

27 → 65

Calls

Call 1

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

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

eval929.0ms (2.2%)

Compiler: Compiled 51270 to 17693 computations (65.5% saved)

prune571.0ms (1.4%)

Pruning

78 alts after pruning (76 fresh and 2 done)

	Pruned	Kept	Total
New	1192	41	1233
Fresh	13	35	48
Picked	0	1	1
Done	4	1	5
Total	1209	78	1287

Error

6.3b

Counts

1287 → 78

Alt Table

Click to see full alt table

Status	Error	Program
	49.9b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (/.f64 (PI.f64) 2)))) (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 (+.f64 lambda1 phi2))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	51.3b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (/.f64 (PI.f64) 2)))) (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 (+.f64 lambda1 phi2))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	34.0b	(atan2.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	32.1b	(atan2.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 (sin.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	43.3b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1))) (.f64 (sin.f64 lambda2) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	40.9b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1))) (.f64 (sin.f64 lambda2) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	44.9b	(atan2.f64 (.f64 (+.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda2) (-.f64 lambda1 (PI.f64)))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) lambda2) (-.f64 lambda1 (PI.f64))))) 2) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	45.2b	(atan2.f64 (.f64 (+.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda2) (-.f64 lambda1 (PI.f64)))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) lambda2) (-.f64 lambda1 (PI.f64))))) 2) (sin.f64 lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	46.1b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 (+.f64 lambda2 (-.f64 lambda1 (/.f64 (PI.f64) 2))))) 2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	46.4b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 (+.f64 lambda2 (-.f64 lambda1 (/.f64 (PI.f64) 2))))) 2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	45.9b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (cos.f64 (+.f64 lambda2 (-.f64 (-.f64 phi1 (/.f64 (PI.f64) 2)) lambda1))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi1 (/.f64 (PI.f64) 2))))) 2)))
	25.9b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (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)) (+.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))))))))
	24.4b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (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)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))))))
	18.0b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (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))))))
✓	12.5b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	13.4b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (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)))))
	18.7b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))
	17.8b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
	14.5b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	25.5b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	20.4b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (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))))))
	18.0b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (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)))))
	19.2b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (sin.f64 lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	47.2b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (cos.f64 (-.f64 (PI.f64) lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 (-.f64 (PI.f64) lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	35.0b	(atan2.f64 (.f64 (+.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 -1/2 (pow.f64 lambda1 2))) (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) 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))))))
	32.8b	(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 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	31.6b	(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 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	38.3b	(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 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	25.5b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2))) (.f64 lambda2 (neg.f64 (cos.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))))))
	24.8b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 lambda2 (neg.f64 (cos.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))))))
	24.9b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 lambda2 (neg.f64 (cos.f64 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	35.2b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 lambda2 (neg.f64 (cos.f64 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	17.4b	(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
▶	13.3b	(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (sin.f64 lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	28.3b	(atan2.f64 (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	28.4b	(atan2.f64 (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
▶	33.9b	(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))))
	42.0b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	46.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (sin.f64 (+.f64 lambda2 (-.f64 phi1 lambda1))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi1 (/.f64 (PI.f64) 2))))) 2)))
	43.0b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 phi1 lambda1) (.f64 1/2 (PI.f64)))) (cos.f64 (-.f64 (+.f64 (.f64 1/2 (PI.f64)) lambda1) phi1))) 2)))
	40.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 lambda2 phi1) (.f64 1/2 (PI.f64)))) (cos.f64 (-.f64 phi1 (+.f64 lambda2 (.f64 1/2 (PI.f64)))))) 2)))
	47.2b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (cos.f64 (-.f64 lambda2 (+.f64 (*.f64 1/2 (PI.f64)) lambda1))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi1 (/.f64 (PI.f64) 2))))) 2)))
	47.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 (.f64 1/2 (PI.f64))))) (cos.f64 (-.f64 lambda2 (+.f64 (.f64 1/2 (PI.f64)) lambda1)))) 2)))
	47.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (cos.f64 (+.f64 lambda2 (-.f64 (-.f64 phi1 (/.f64 (PI.f64) 2)) lambda1))) (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 phi1 (/.f64 (PI.f64) 2)))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 phi1 (/.f64 (PI.f64) 2)))))) 2)))
	31.6b	(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)) phi1)))
	20.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 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))))
	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) (*.f64 (/.f64 1 (cos.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cos.f64 lambda1) 2))))))
▶	18.4b	(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) (.f64 (/.f64 1 (cos.f64 lambda2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))))))
	19.2b	(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 1 (cos.f64 lambda1)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))))))
	24.8b	(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 phi2))))
	23.8b	(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))))
	23.3b	(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))))
	33.7b	(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 (.f64 -1/6 (pow.f64 phi1 3)) (.f64 -1/5040 (pow.f64 phi1 7))) (+.f64 phi1 (.f64 1/120 (pow.f64 phi1 5)))))))
✓	20.5b	(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)) (sin.f64 phi1))))
	31.0b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) phi1)))
	30.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 lambda1) phi1)))
	33.2b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 phi1 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))
	35.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	24.0b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	39.0b	(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))))
	43.7b	(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)) phi1)))
	48.2b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 phi1 phi2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) phi1) phi2))) 2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	52.4b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (cos.f64 (+.f64 lambda2 (-.f64 (-.f64 phi1 (/.f64 (PI.f64) 2)) lambda1))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi1 (/.f64 (PI.f64) 2))))) 2)))
	34.6b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (/.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 (-.f64 lambda1 lambda2) phi2))) 2))))
	33.9b	(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))))))
	37.6b	(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 lambda2)))))
	32.3b	(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)))))
	35.1b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
▶	41.5b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	35.9b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	55.4b	(atan2.f64 (.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (/.f64 (PI.f64) 2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (cos.f64 (+.f64 lambda2 (-.f64 (-.f64 phi1 (/.f64 (PI.f64) 2)) lambda1))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi1 (/.f64 (PI.f64) 2))))) 2)))
	47.7b	(atan2.f64 (.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (/.f64 (PI.f64) 2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	48.2b	(atan2.f64 (.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (/.f64 (PI.f64) 2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	48.2b	(atan2.f64 (.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (/.f64 (PI.f64) 2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	50.1b	(atan2.f64 (.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (/.f64 (PI.f64) 2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
▶	27.8b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (+.f64 -1 (.f64 1/2 (pow.f64 lambda1 2)))) lambda1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	27.2b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 lambda1 (neg.f64 (sin.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	34.5b	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))

Compiler

Compiled 5295 to 3478 computations (34.3% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (sin.f64 lambda1)) (cos.f64 phi2))
✓	0.2b	(+.f64 (neg.f64 (sin.f64 lambda2)) (sin.f64 lambda1))
	0.2b	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
	3.4b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 109 to 20 computations (81.7% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite61.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`rational_best.json-5`
1630×	`rational_best.json-2`
1630×	`rational_best.json-3`
1630×	`rational_best.json-1`
1630×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	120	48
2	491	48
3	2492	48

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

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

Outputs

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

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

simplify169.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1884×	`rational_best.json-simplify-54`
916×	`rational_best.json-simplify-43`
862×	`rational_best.json-simplify-49`
732×	`rational_best.json-simplify-44`
654×	`rational_best.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	2226
1	251	2174
2	614	2074
3	2302	2074
4	6573	2074

Stop Event

1×	node limit

Counts

80 → 107

Calls

Call 1

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

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

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	0.1b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
	0.2b	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)
	3.4b	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 69 to 15 computations (78.3% saved)

series2.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite79.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1160×	`rational_best.json-simplify-47`
848×	`rational_best.json-simplify-2`
616×	`rational_best.json-simplify-1`
600×	`rational_best.json-simplify-45`
598×	`rational_best.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	57
1	167	57
2	709	57
3	3909	57

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify156.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

804×	`rational_best.json-simplify-46`
786×	`rational_best.json-simplify-2`
728×	`rational_best.json-simplify-1`
714×	`rational_best.json-simplify-45`
672×	`rational_best.json-simplify-78`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	3819
1	134	3819
2	552	3819
3	1750	3819
4	5296	3819

Stop Event

1×	node limit

Counts

67 → 24

Calls

Call 1

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

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

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))
✓	1.2b	(.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1))
	3.4b	(cos.f64 (-.f64 lambda1 lambda2))
	3.5b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 106 to 43 computations (59.4% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite56.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`rational_best.json-5`
1088×	`rational_best.json-2`
1088×	`rational_best.json-3`
1088×	`rational_best.json-1`
1088×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	35
1	129	35
2	442	35
3	2012	35

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs
(.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1))

Outputs

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

simplify83.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1056×	`rational_best.json-simplify-43`
976×	`rational_best.json-simplify-45`
976×	`rational_best.json-simplify-46`
958×	`rational_best.json-simplify-44`
922×	`rational_best.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	83	2185
1	207	2107
2	454	1959
3	1147	1887
4	3270	1847

Stop Event

1×	node limit

Counts

43 → 55

Calls

Call 1

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

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

localize53.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))
	0.2b	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))
	3.4b	(cos.f64 (-.f64 lambda1 lambda2))
✓	4.5b	(.f64 (sin.f64 lambda2) (+.f64 -1 (.f64 1/2 (pow.f64 lambda1 2))))

Compiler

Compiled 150 to 64 computations (57.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`rational_best.json-5`
906×	`rational_best.json-2`
906×	`rational_best.json-3`
906×	`rational_best.json-1`
906×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	113	29
2	375	29
3	1683	29

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs
(.f64 (sin.f64 lambda2) (+.f64 -1 (.f64 1/2 (pow.f64 lambda1 2))))

Outputs

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

simplify117.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1322×	`rational_best.json-simplify-45`
1274×	`rational_best.json-simplify-47`
1272×	`rational_best.json-simplify-46`
1056×	`rational_best.json-simplify-80`
846×	`rational_best.json-simplify-78`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	1161
1	98	1159
2	161	1063
3	303	1015
4	712	1015
5	3621	1015
6	7288	1015

Stop Event

1×	node limit

Counts

31 → 37

Calls

Call 1

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

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

localize187.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 1 (cos.f64 lambda2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))))
	0.4b	(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2)))
	3.4b	(cos.f64 (-.f64 lambda1 lambda2))
	3.5b	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 166 to 43 computations (74.1% saved)

series36.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	phi1	@	-inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 1 (cos.f64 lambda2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))))
12.0ms	lambda1	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 1 (cos.f64 lambda2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))))
1.0ms	lambda1	@	-inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 1 (cos.f64 lambda2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))))
1.0ms	lambda2	@	inf	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 1 (cos.f64 lambda2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))))
1.0ms	lambda1	@	0	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 1 (cos.f64 lambda2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))))

rewrite73.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1298×	`rational_best.json-simplify-47`
1040×	`rational_best.json-simplify-2`
1028×	`rational_best.json-simplify-54`
522×	`rational_best.json-simplify-57`
498×	`rational_best.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	63
1	177	63
2	764	63
3	3716	63

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

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

Outputs

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

simplify99.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1258×	`rational_best.json-simplify-2`
1152×	`rational_best.json-simplify-1`
934×	`trig.json-simplify-33`
702×	`rational_best.json-simplify-46`
638×	`rational_best.json-simplify-45`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	190	4257
1	438	4189
2	1007	4129
3	3543	4055

Stop Event

1×	node limit

Counts

55 → 70

Calls

Call 1

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

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

eval681.0ms (1.6%)

Compiler: Compiled 49684 to 16627 computations (66.5% saved)

prune1.0s (2.5%)

Pruning

89 alts after pruning (88 fresh and 1 done)

	Pruned	Kept	Total
New	1177	23	1200
Fresh	6	65	71
Picked	1	0	1
Done	5	1	6
Total	1189	89	1278

Error

6.2b

Counts

1278 → 89

Alt Table

Click to see full alt table

Status	Error	Program
	49.9b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (/.f64 (PI.f64) 2)))) (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 (+.f64 lambda1 phi2))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	51.3b	(atan2.f64 (/.f64 (+.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (+.f64 phi2 (/.f64 (PI.f64) 2)))) (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 (+.f64 lambda1 phi2))))) 2) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	34.0b	(atan2.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (sin.f64 lambda1) (cos.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	32.1b	(atan2.f64 (+.f64 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (neg.f64 (sin.f64 lambda2)))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	59.5b	(atan2.f64 (.f64 (pow.f64 phi2 2) (.f64 (sin.f64 (-.f64 lambda2 lambda1)) 1/2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	37.3b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1))) (.f64 (sin.f64 lambda2) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 1 (cos.f64 lambda2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))))))
	43.3b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1))) (.f64 (sin.f64 lambda2) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	40.9b	(atan2.f64 (.f64 (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1))) (.f64 (sin.f64 lambda2) (sin.f64 (-.f64 (/.f64 (PI.f64) 2) lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	44.9b	(atan2.f64 (.f64 (+.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda2) (-.f64 lambda1 (PI.f64)))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) lambda2) (-.f64 lambda1 (PI.f64))))) 2) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	45.2b	(atan2.f64 (.f64 (+.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (/.f64 (PI.f64) 2) lambda2) (-.f64 lambda1 (PI.f64)))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) lambda2) (-.f64 lambda1 (PI.f64))))) 2) (sin.f64 lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	46.1b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 (+.f64 lambda2 (-.f64 lambda1 (/.f64 (PI.f64) 2))))) 2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	46.4b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 lambda2 lambda1))) (cos.f64 (+.f64 lambda2 (-.f64 lambda1 (/.f64 (PI.f64) 2))))) 2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	45.9b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (cos.f64 (+.f64 lambda2 (-.f64 (-.f64 phi1 (/.f64 (PI.f64) 2)) lambda1))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi1 (/.f64 (PI.f64) 2))))) 2)))
	25.9b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (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)) (+.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))))))))
	24.4b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (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)) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))))))
	18.0b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (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))))))
	12.4b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 1 (cos.f64 lambda2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))))))
✓	12.5b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	13.4b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (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)))))
	18.7b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 phi2))))
	17.8b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda2))))
	14.5b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	25.5b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	20.4b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (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))))))
	18.0b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (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)))))
	19.2b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (sin.f64 lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	47.2b	(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (cos.f64 (-.f64 (PI.f64) lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 (-.f64 (PI.f64) lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	32.8b	(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 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	31.6b	(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 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	38.3b	(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 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	25.5b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (+.f64 (.f64 (sin.f64 lambda1) (.f64 -1/2 (pow.f64 lambda2 2))) (.f64 lambda2 (neg.f64 (cos.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))))))
	24.8b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 lambda2 (neg.f64 (cos.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))))))
	24.9b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 lambda2 (neg.f64 (cos.f64 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	35.2b	(atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 lambda2 (neg.f64 (cos.f64 lambda1)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	26.2b	(atan2.f64 (.f64 (+.f64 (sin.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 (-.f64 lambda1 lambda2))))))
	17.4b	(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	18.8b	(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (sin.f64 lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	19.7b	(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (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)))))
	20.8b	(atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (sin.f64 lambda1)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	28.3b	(atan2.f64 (.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2)))) (.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	36.5b	(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 (sin.f64 phi1) (cos.f64 lambda1))))
	43.0b	(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)) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1))))
	42.0b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/2 (pow.f64 phi2 2)) 1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	46.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (sin.f64 (+.f64 lambda2 (-.f64 phi1 lambda1))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi1 (/.f64 (PI.f64) 2))))) 2)))
	43.0b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 phi1 lambda1) (.f64 1/2 (PI.f64)))) (cos.f64 (-.f64 (+.f64 (.f64 1/2 (PI.f64)) lambda1) phi1))) 2)))
	40.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (cos.f64 (-.f64 (+.f64 lambda2 phi1) (.f64 1/2 (PI.f64)))) (cos.f64 (-.f64 phi1 (+.f64 lambda2 (.f64 1/2 (PI.f64)))))) 2)))
	47.2b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (cos.f64 (-.f64 lambda2 (+.f64 (*.f64 1/2 (PI.f64)) lambda1))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi1 (/.f64 (PI.f64) 2))))) 2)))
	47.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (cos.f64 (-.f64 lambda1 (+.f64 lambda2 (.f64 1/2 (PI.f64))))) (cos.f64 (-.f64 lambda2 (+.f64 (.f64 1/2 (PI.f64)) lambda1)))) 2)))
	47.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (cos.f64 (+.f64 lambda2 (-.f64 (-.f64 phi1 (/.f64 (PI.f64) 2)) lambda1))) (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 phi1 (/.f64 (PI.f64) 2)))) (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (sin.f64 (-.f64 phi1 (/.f64 (PI.f64) 2)))))) 2)))
	23.6b	(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 lambda2))))
	20.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 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))))
	24.7b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (cos.f64 lambda1) 2)))))
	24.5b	(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 1 (cos.f64 lambda2)) (pow.f64 (cos.f64 lambda1) 2))))))
	19.2b	(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 1 (cos.f64 lambda1)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))))))
	24.8b	(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 phi2))))
	23.8b	(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))))
	23.3b	(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))))
	33.7b	(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 (.f64 -1/6 (pow.f64 phi1 3)) (.f64 -1/5040 (pow.f64 phi1 7))) (+.f64 phi1 (.f64 1/120 (pow.f64 phi1 5)))))))
	31.0b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) phi1)))
	30.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 lambda1) phi1)))
	35.5b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	24.0b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	39.0b	(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))))
	43.7b	(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)) phi1)))
	48.2b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) 2) (-.f64 phi1 phi2))) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) phi1) phi2))) 2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	47.2b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (+.f64 (.f64 -1/6 (pow.f64 phi2 3)) phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	52.4b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (cos.f64 (+.f64 lambda2 (-.f64 (-.f64 phi1 (/.f64 (PI.f64) 2)) lambda1))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi1 (/.f64 (PI.f64) 2))))) 2)))
	42.4b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1)) phi1)))
	34.6b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (/.f64 (+.f64 (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2))) (cos.f64 (-.f64 (-.f64 lambda1 lambda2) phi2))) 2))))
	33.9b	(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))))))
	37.6b	(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 lambda2)))))
	32.3b	(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)))))
	35.1b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))
	41.7b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 lambda2) phi1)))
	41.2b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 lambda1) phi1)))
	44.0b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 phi1 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))))
	47.6b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	35.9b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	41.5b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	55.4b	(atan2.f64 (.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (/.f64 (PI.f64) 2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (/.f64 (+.f64 (cos.f64 (+.f64 lambda2 (-.f64 (-.f64 phi1 (/.f64 (PI.f64) 2)) lambda1))) (cos.f64 (+.f64 (-.f64 lambda1 lambda2) (-.f64 phi1 (/.f64 (PI.f64) 2))))) 2)))
	48.0b	(atan2.f64 (.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (/.f64 (PI.f64) 2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 1 (cos.f64 lambda2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 (-.f64 lambda1 lambda2))))))))
	47.7b	(atan2.f64 (.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (/.f64 (PI.f64) 2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
	48.2b	(atan2.f64 (.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (/.f64 (PI.f64) 2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
	48.2b	(atan2.f64 (.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (/.f64 (PI.f64) 2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))
	50.1b	(atan2.f64 (.f64 (cos.f64 (-.f64 (-.f64 lambda1 lambda2) (/.f64 (PI.f64) 2))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))
	29.5b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (+.f64 -1 (.f64 1/2 (pow.f64 lambda1 2)))) lambda1)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 lambda1 (sin.f64 lambda2))) (cos.f64 lambda2))))))
	35.0b	(atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda2) (+.f64 -1 (.f64 1/2 (pow.f64 lambda1 2)))) lambda1)) (-.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))))))
	34.5b	(atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))
	32.6b	(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))

Compiler

Compiled 2977 to 1982 computations (33.4% saved)

regimes446.0ms (1.1%)

Counts

136 → 1

Calls

Call 1

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

Outputs

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

70.0ms	lambda2
67.0ms	(-.f64 lambda1 lambda2)
64.0ms	phi2
61.0ms	phi1
59.0ms	lambda1

Results

Error	Segments	Branch
7.0b	1	`lambda1`
7.0b	1	`lambda2`
7.0b	1	`phi1`
7.0b	1	`phi2`
7.0b	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)))))`
7.0b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 4071 to 929 computations (77.2% saved)

regimes1.4s (3.4%)

Counts

109 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

628.0ms	phi1
180.0ms	(-.f64 lambda1 lambda2)
150.0ms	lambda2
138.0ms	phi2
133.0ms	lambda1

Results

Error	Segments	Branch
7.0b	3	`lambda1`
6.9b	3	`lambda2`
7.7b	3	`phi1`
9.3b	3	`phi2`
9.7b	3	`(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
9.2b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2906 to 621 computations (78.6% saved)

bsearch238.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
114.0ms	0.00013238412025323295	0.19978113044131104
123.0ms	-1724789104990.663	-1799368.2615468656

Results

176.0ms	156×	body	1024	valid
29.0ms	48×	body	512	valid
20.0ms	65×	body	256	valid
6.0ms	3×	body	2048	valid

Compiler

Compiled 1259 to 805 computations (36.1% saved)

regimes868.0ms (2.1%)

Counts

108 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

181.0ms	(-.f64 lambda1 lambda2)
139.0ms	lambda2
135.0ms	phi1
134.0ms	lambda1
127.0ms	phi2

Results

Error	Segments	Branch
7.0b	3	`lambda1`
6.9b	3	`lambda2`
7.7b	3	`phi1`
9.3b	3	`phi2`
9.7b	3	`(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
9.2b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2874 to 620 computations (78.4% saved)

bsearch201.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
109.0ms	0.00013238412025323295	0.19978113044131104
90.0ms	-1799368.2615468656	-80657.5815613963

Results

129.0ms	122×	body	1024	valid
31.0ms	51×	body	512	valid
22.0ms	61×	body	256	valid
11.0ms	6×	body	2048	valid

Compiler

Compiled 1100 to 698 computations (36.5% saved)

regimes867.0ms (2.1%)

Counts

107 → 3

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

211.0ms	phi2
168.0ms	(-.f64 lambda1 lambda2)
130.0ms	phi1
125.0ms	lambda1
98.0ms	(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)))))

Results

Error	Segments	Branch
7.0b	3	`lambda1`
10.3b	2	`lambda2`
7.7b	3	`phi1`
8.6b	5	`phi2`
9.7b	3	`(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
9.2b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2844 to 619 computations (78.2% saved)

bsearch194.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
74.0ms	2.1196351209818276e-20	1.5559389325366197e-19
118.0ms	-746163.821699893	-1.0754943975196236e-7

Results

135.0ms	130×	body	1024	valid
29.0ms	44×	body	512	valid
25.0ms	82×	body	256	valid

Compiler

Compiled 1059 to 679 computations (35.9% saved)

regimes737.0ms (1.8%)

Counts

106 → 3

Calls

Call 1

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

Outputs

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

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

128.0ms	lambda1
128.0ms	phi1
127.0ms	(-.f64 lambda1 lambda2)
126.0ms	phi2
94.0ms	(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)))))

Results

Error	Segments	Branch
10.0b	2	`lambda1`
10.3b	2	`lambda2`
7.7b	3	`phi1`
10.3b	3	`phi2`
10.1b	3	`(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
10.4b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2814 to 618 computations (78% saved)

bsearch136.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	5.094678914211574e-42	6.664937180642393e-31
120.0ms	-422764.4512787827	-0.02253101557262105

Results

93.0ms	90×	body	1024	valid
18.0ms	27×	body	512	valid
14.0ms	40×	body	256	valid
7.0ms	3×	body	2048	valid

Compiler

Compiled 715 to 493 computations (31% saved)

regimes659.0ms (1.6%)

Counts

92 → 3

Calls

Call 1

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

Outputs

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

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

202.0ms	lambda2
145.0ms	phi1
107.0ms	lambda1
83.0ms	(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)))))
42.0ms	phi2

Results

Error	Segments	Branch
10.5b	3	`lambda1`
10.3b	2	`lambda2`
7.7b	3	`phi1`
11.7b	1	`phi2`
10.5b	3	`(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
11.7b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2336 to 499 computations (78.6% saved)

bsearch288.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
144.0ms	5.094678914211574e-42	6.664937180642393e-31
142.0ms	-0.00010570495137319775	-2.4651592073240353e-15

Results

207.0ms	188×	body	1024	valid
29.0ms	47×	body	512	valid
24.0ms	75×	body	256	valid
19.0ms	10×	body	2048	valid

Compiler

Compiled 1375 to 943 computations (31.4% saved)

regimes1.3s (3.1%)

Counts

91 → 3

Calls

Call 1

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

Outputs

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

(atan2.f64 (*.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (sin.f64 lambda1)) (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:

435.0ms	lambda2
250.0ms	phi2
180.0ms	(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)))))
144.0ms	lambda1
111.0ms	phi1

Results

Error	Segments	Branch
11.6b	2	`lambda1`
9.8b	3	`lambda2`
8.0b	3	`phi1`
11.6b	3	`phi2`
11.3b	3	`(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`
12.0b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2307 to 498 computations (78.4% saved)

bsearch429.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
177.0ms	5054393.880289827	218409495470107970.0
249.0ms	-0.00010570495137319775	-2.4651592073240353e-15

Results

324.0ms	172×	body	1024	valid
46.0ms	61×	body	512	valid
27.0ms	14×	body	2048	valid
22.0ms	73×	body	256	valid

Compiler

Compiled 1315 to 903 computations (31.3% saved)

regimes427.0ms (1%)

Counts

74 → 3

Calls

Call 1

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

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

Calls

6 calls:

97.0ms	phi2
38.0ms	lambda1
37.0ms	(-.f64 lambda1 lambda2)
36.0ms	lambda2
33.0ms	phi1

Results

Error	Segments	Branch
13.0b	1	`lambda1`
13.0b	1	`lambda2`
13.0b	1	`phi1`
11.9b	3	`phi2`
13.0b	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)))))`
13.0b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1769 to 336 computations (81% saved)

bsearch262.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
141.0ms	2.7128448272320986e-164	5.951127372432149e-151
120.0ms	1.3967772119840392e-303	6.844907944989427e-300

Results

188.0ms	154×	body	1024	valid
31.0ms	88×	body	256	valid
28.0ms	41×	body	512	valid
9.0ms	5×	body	2048	valid

Compiler

Compiled 1115 to 743 computations (33.4% saved)

regimes263.0ms (0.6%)

Counts

68 → 1

Calls

Call 1

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

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:

67.0ms	lambda2
46.0ms	phi2
33.0ms	(-.f64 lambda1 lambda2)
32.0ms	lambda1
31.0ms	phi1

Results

Error	Segments	Branch
13.0b	1	`lambda1`
13.0b	1	`lambda2`
13.0b	1	`phi1`
13.0b	1	`phi2`
13.0b	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)))))`
13.0b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1606 to 320 computations (80.1% saved)

regimes639.0ms (1.5%)

Counts

46 → 3

Calls

Call 1

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

Calls

5 calls:

233.0ms	(-.f64 lambda1 lambda2)
156.0ms	lambda2
152.0ms	phi2
58.0ms	lambda1
22.0ms	phi1

Results

Error	Segments	Branch
12.7b	3	`lambda1`
12.5b	3	`lambda2`
18.4b	1	`phi1`
15.2b	3	`phi2`
17.1b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1000 to 208 computations (79.2% saved)

bsearch334.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
169.0ms	0.19978113044131104	0.3069195359446277
165.0ms	-1724789104990.663	-1799368.2615468656

Results

282.0ms	128×	body	1024	valid
25.0ms	35×	body	512	valid
14.0ms	41×	body	256	valid
9.0ms	4×	body	2048	valid

Compiler

Compiled 750 to 504 computations (32.8% saved)

regimes443.0ms (1.1%)

Counts

44 → 3

Calls

Call 1

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

Outputs

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

Calls

5 calls:

202.0ms	lambda1
90.0ms	lambda2
57.0ms	phi2
55.0ms	(-.f64 lambda1 lambda2)
21.0ms	phi1

Results

Error	Segments	Branch
12.7b	3	`lambda1`
12.5b	3	`lambda2`
18.4b	1	`phi1`
15.2b	3	`phi2`
17.1b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 954 to 203 computations (78.7% saved)

bsearch204.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	0.19978113044131104	0.3069195359446277
147.0ms	-1724789104990.663	-1799368.2615468656

Results

149.0ms	115×	body	1024	valid
21.0ms	59×	body	256	valid
18.0ms	29×	body	512	valid
11.0ms	5×	body	2048	valid

Compiler

Compiled 724 to 491 computations (32.2% saved)

regimes243.0ms (0.6%)

Counts

42 → 3

Calls

Call 1

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

Calls

5 calls:

84.0ms	lambda1
53.0ms	phi2
52.0ms	lambda2
20.0ms	(-.f64 lambda1 lambda2)
18.0ms	phi1

Results

Error	Segments	Branch
12.8b	3	`lambda1`
16.0b	3	`lambda2`
18.5b	1	`phi1`
15.2b	3	`phi2`
18.5b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 910 to 201 computations (77.9% saved)

bsearch595.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
316.0ms	2.243382503986354e+85	4.499569538871152e+86
278.0ms	-1.0754943975196236e-7	-3.499065943636028e-10

Results

520.0ms	110×	body	1024	valid
56.0ms	89×	body	512	valid
12.0ms	40×	body	256	valid
2.0ms	1×	body	2048	valid

Compiler

Compiled 815 to 548 computations (32.8% saved)

regimes902.0ms (2.2%)

Counts

41 → 5

Calls

Call 1

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

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

Calls

5 calls:

224.0ms	lambda1
214.0ms	phi2
172.0ms	(-.f64 lambda1 lambda2)
169.0ms	phi1
108.0ms	lambda2

Results

Error	Segments	Branch
17.7b	3	`lambda1`
15.0b	5	`lambda2`
20.5b	1	`phi1`
19.2b	2	`phi2`
17.7b	5	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 888 to 198 computations (77.7% saved)

bsearch927.0ms (2.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
277.0ms	3.3888928372205603e-17	8.743653149278889e-5
110.0ms	9.58158801033955e-238	4.467551906472748e-237
362.0ms	-3.7169361499897914e-206	-1.2638693035644872e-211
177.0ms	-6.005922816645516e+102	-1.140497205243477e+90

Results

601.0ms	308×	body	1024	valid
146.0ms	131×	body	512	valid
136.0ms	105×	body	256	valid
33.0ms	16×	body	2048	valid

Compiler

Compiled 1808 to 1217 computations (32.7% saved)

regimes238.0ms (0.6%)

Counts

38 → 3

Calls

Call 1

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

Calls

5 calls:

95.0ms	lambda1
49.0ms	lambda2
46.0ms	(-.f64 lambda1 lambda2)
17.0ms	phi2
16.0ms	phi1

Results

Error	Segments	Branch
17.7b	3	`lambda1`
19.4b	3	`lambda2`
20.5b	1	`phi1`
20.5b	1	`phi2`
19.1b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 824 to 193 computations (76.6% saved)

bsearch329.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
98.0ms	2.243382503986354e+85	4.499569538871152e+86
230.0ms	-2.2224966842213743e+55	-1.2955896341749652e+47

Results

155.0ms	139×	body	1024	valid
117.0ms	35×	body	256	valid
52.0ms	82×	body	512	valid

Compiler

Compiled 851 to 567 computations (33.4% saved)

regimes132.0ms (0.3%)

Counts

36 → 3

Calls

Call 1

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

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

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

Calls

5 calls:

51.0ms	(-.f64 lambda1 lambda2)
18.0ms	lambda1
17.0ms	phi1
16.0ms	lambda2
16.0ms	phi2

Results

Error	Segments	Branch
20.5b	1	`lambda1`
20.5b	1	`lambda2`
20.5b	1	`phi1`
20.5b	1	`phi2`
19.1b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 784 to 187 computations (76.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.2789521909926076e-89	8.183567631856556e-79
0.0ms	-12550089.38729874	-0.32761235157840896

Compiler

Compiled 33 to 23 computations (30.3% saved)

regimes297.0ms (0.7%)

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

112.0ms	phi1
83.0ms	(-.f64 lambda1 lambda2)
33.0ms	lambda1
31.0ms	phi2
30.0ms	lambda2

Results

Error	Segments	Branch
20.2b	3	`lambda1`
20.0b	3	`lambda2`
22.0b	2	`phi1`
19.0b	3	`phi2`
21.2b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 491 to 119 computations (75.8% saved)

bsearch644.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
511.0ms	2.9403993493186485e-5	15.60140599887669
133.0ms	-19023.16068360386	-0.013434686126789752

Results

534.0ms	153×	body	1024	valid
42.0ms	73×	body	256	valid
32.0ms	11×	body	2048	valid
32.0ms	51×	body	512	valid

Compiler

Compiled 881 to 581 computations (34.1% saved)

regimes138.0ms (0.3%)

Counts

18 → 3

Calls

Call 1

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

Calls

5 calls:

37.0ms	lambda1
31.0ms	phi2
23.0ms	phi1
22.0ms	(-.f64 lambda1 lambda2)
18.0ms	lambda2

Results

Error	Segments	Branch
20.2b	3	`lambda1`
21.4b	2	`lambda2`
22.0b	2	`phi1`
20.5b	3	`phi2`
23.3b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 368 to 98 computations (73.4% saved)

bsearch239.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
108.0ms	2.1196351209818276e-20	1.5559389325366197e-19
131.0ms	-1.0754943975196236e-7	-3.499065943636028e-10

Results

155.0ms	107×	body	1024	valid
33.0ms	35×	body	512	valid
28.0ms	73×	body	256	valid
19.0ms	9×	body	2048	valid

Compiler

Compiled 707 to 499 computations (29.4% saved)

regimes78.0ms (0.2%)

Counts

17 → 3

Calls

Call 1

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

Outputs

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

(atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.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))))

Calls

5 calls:

26.0ms	phi2
17.0ms	phi1
10.0ms	(-.f64 lambda1 lambda2)
10.0ms	lambda1
10.0ms	lambda2

Results

Error	Segments	Branch
23.3b	1	`lambda1`
23.3b	1	`lambda2`
22.0b	2	`phi1`
20.6b	3	`phi2`
23.3b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 349 to 95 computations (72.8% saved)

bsearch287.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
130.0ms	2.9403993493186485e-5	15.60140599887669
156.0ms	-19023.16068360386	-0.013434686126789752

Results

192.0ms	142×	body	1024	valid
45.0ms	51×	body	512	valid
33.0ms	89×	body	256	valid
12.0ms	6×	body	2048	valid

Compiler

Compiled 881 to 599 computations (32% saved)

regimes83.0ms (0.2%)

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

26.0ms	phi2
17.0ms	phi1
11.0ms	(-.f64 lambda1 lambda2)
10.0ms	lambda2
10.0ms	lambda1

Results

Error	Segments	Branch
24.0b	1	`lambda1`
24.0b	1	`lambda2`
22.1b	2	`phi1`
21.2b	3	`phi2`
24.0b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 330 to 92 computations (72.1% saved)

bsearch284.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
125.0ms	2.9403993493186485e-5	15.60140599887669
158.0ms	-19023.16068360386	-0.013434686126789752

Results

185.0ms	156×	body	1024	valid
35.0ms	40×	body	512	valid
35.0ms	80×	body	256	valid
24.0ms	12×	body	2048	valid

Compiler

Compiled 881 to 581 computations (34.1% saved)

regimes173.0ms (0.4%)

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

42.0ms	lambda1
40.0ms	lambda2
31.0ms	(-.f64 lambda1 lambda2)
26.0ms	phi2
25.0ms	phi1

Results

Error	Segments	Branch
24.7b	5	`lambda1`
25.5b	5	`lambda2`
22.1b	3	`phi1`
22.1b	3	`phi2`
28.0b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 311 to 88 computations (71.7% saved)

bsearch302.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
139.0ms	1.7301238611564417e-19	3.8041464948097845e-13
162.0ms	-0.00010570495137319775	-2.4651592073240353e-15

Results

203.0ms	169×	body	1024	valid
34.0ms	57×	body	512	valid
31.0ms	10×	body	2048	valid
22.0ms	68×	body	256	valid

Compiler

Compiled 947 to 612 computations (35.4% saved)

regimes123.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

33.0ms	lambda1
27.0ms	lambda2
23.0ms	(-.f64 lambda1 lambda2)
19.0ms	phi1
17.0ms	phi2

Results

Error	Segments	Branch
27.1b	6	`lambda1`
28.3b	5	`lambda2`
22.1b	3	`phi1`
22.1b	3	`phi2`
28.0b	3	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 186 to 61 computations (67.2% saved)

bsearch291.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
133.0ms	1.7301238611564417e-19	3.8041464948097845e-13
158.0ms	-0.00010570495137319775	-2.4651592073240353e-15

Results

206.0ms	174×	body	1024	valid
43.0ms	56×	body	512	valid
21.0ms	67×	body	256	valid
16.0ms	7×	body	2048	valid

Compiler

Compiled 909 to 612 computations (32.7% saved)

regimes73.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

23.0ms	phi1
18.0ms	phi2
17.0ms	lambda2
7.0ms	(-.f64 lambda1 lambda2)
5.0ms	lambda1

Results

Error	Segments	Branch
32.6b	1	`lambda1`
31.4b	3	`lambda2`
30.2b	5	`phi1`
27.4b	3	`phi2`
32.6b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 131 to 54 computations (58.8% saved)

bsearch270.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
133.0ms	2.9403993493186485e-5	15.60140599887669
137.0ms	-19023.16068360386	-0.013434686126789752

Results

196.0ms	156×	body	1024	valid
25.0ms	40×	body	512	valid
25.0ms	83×	body	256	valid
19.0ms	9×	body	2048	valid

Compiler

Compiled 827 to 563 computations (31.9% saved)

regimes22.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	phi2
6.0ms	lambda1
4.0ms	lambda2
4.0ms	phi1

Results

Error	Segments	Branch
41.2b	1	`lambda1`
41.2b	1	`lambda2`
41.2b	1	`phi1`
41.2b	1	`phi2`

Compiler

Compiled 88 to 42 computations (52.3% saved)

regimes16.0ms (0%)

Accuracy

Total -6.4b remaining (-15.5%)

Threshold costs -6.4b (-15.5%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

5.0ms	phi1
3.0ms	lambda1
3.0ms	phi2
3.0ms	lambda2

Results

Error	Segments	Branch
41.5b	1	`lambda1`
41.5b	1	`lambda2`
41.5b	1	`phi1`
41.5b	1	`phi2`

Compiler

Compiled 56 to 33 computations (41.1% saved)

simplify47.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	214	5194

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (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 -1800000) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (if (<=.f64 lambda2 4242751136953197/18446744073709551616) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (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)))))) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))
(if (<=.f64 lambda2 -82000) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (if (<=.f64 lambda2 3112888062438487/576460752303423488) (atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 lambda2 (neg.f64 (cos.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)))))) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))
(if (<=.f64 lambda1 -6788401819125115/73786976294838206464) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (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 3219224052291593/20769187434139310514121985316880384) (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 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (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 phi1 -5476377146882523/144115188075855872) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (sin.f64 lambda1)) (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 phi1 7846377169233351/784637716923335095479473677900958302012794430558004314112) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (sin.f64 lambda1)) (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 phi1 -5415987671873539/19342813113834066795298816) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (sin.f64 lambda1)) (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 phi1 1883966954371867/2854495385411919762116571938898990272765493248) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (sin.f64 lambda1)) (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 phi1 -955051397495557/2417851639229258349412352) (atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (sin.f64 lambda1)) (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 phi1 5100000) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))) (atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (sin.f64 lambda1)) (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 phi2 7841674366578573/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (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 phi2 6604434243437697/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (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) (.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 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(if (<=.f64 lambda2 -2300000) (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 (-.f64 lambda1 lambda2)))))) (if (<=.f64 lambda2 7385903388887613/36028797018963968) (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 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(if (<=.f64 lambda2 -1800000) (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (if (<=.f64 lambda2 8106479329266893/36028797018963968) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))
(if (<=.f64 lambda1 -4004566777473459/37778931862957161709568) (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 22500000000000000329190642690184643196825967226954738833768742711320418195650834857984) (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 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))))
(if (<=.f64 lambda2 -45999999999999998232112760619706208105296480165432203111147092676143042110553850846124179456) (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (if (<=.f64 lambda2 -7229475734293037/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (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 3757424194103915/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944) (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 2833419889721787/1180591620717411303424) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))))
(if (<=.f64 lambda1 -2399999999999999850807477239976319853127394232631296) (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 350000000000000018924236024317333135709026770306680175649731719850201837812950323167232) (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)))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -10000000) (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 (-.f64 lambda1 lambda2) 7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (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 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)) (sin.f64 phi1))))))
(if (<=.f64 phi2 -7782220156096217/576460752303423488) (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 phi2)))) (if (<=.f64 phi2 5902958103587057/36893488147419103232) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.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 phi2))))))
(if (<=.f64 lambda1 -4004566777473459/37778931862957161709568) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (if (<=.f64 lambda1 3219224052291593/20769187434139310514121985316880384) (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 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))))
(if (<=.f64 phi2 -8070450532247929/576460752303423488) (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 phi2 3504881374004815/36893488147419103232) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.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))))))
(if (<=.f64 phi2 -7782220156096217/576460752303423488) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (if (<=.f64 phi2 6640827866535439/36893488147419103232) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.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 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))))
(if (<=.f64 phi1 -2582544170319337/36893488147419103232) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (if (<=.f64 phi1 940834429856889/2475880078570760549798248448) (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 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))))
(if (<=.f64 phi1 -7791904696734915/590295810358705651712) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (if (<=.f64 phi1 940834429856889/2475880078570760549798248448) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) phi1))) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))))
(if (<=.f64 phi2 -5854679515581645/4503599627370496) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) phi1))) (if (<=.f64 phi2 3/4) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.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 (cos.f64 lambda1) phi1)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 lambda1) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))

Outputs
(atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (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 -1800000) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (if (<=.f64 lambda2 4242751136953197/18446744073709551616) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (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)))))) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))
(if (<=.f64 lambda2 -82000) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (if (<=.f64 lambda2 3112888062438487/576460752303423488) (atan2.f64 (.f64 (+.f64 (sin.f64 lambda1) (.f64 lambda2 (neg.f64 (cos.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)))))) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))
(if (<=.f64 lambda1 -6788401819125115/73786976294838206464) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (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 3219224052291593/20769187434139310514121985316880384) (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 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (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 phi1 -5476377146882523/144115188075855872) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (sin.f64 lambda1)) (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 phi1 7846377169233351/784637716923335095479473677900958302012794430558004314112) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (sin.f64 lambda1)) (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 phi1 -5415987671873539/19342813113834066795298816) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (sin.f64 lambda1)) (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 phi1 1883966954371867/2854495385411919762116571938898990272765493248) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (sin.f64 lambda1)) (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 phi1 -955051397495557/2417851639229258349412352) (atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (sin.f64 lambda1)) (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 phi1 5100000) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1))) (atan2.f64 (.f64 (+.f64 (neg.f64 (sin.f64 lambda2)) (sin.f64 lambda1)) (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 phi2 7841674366578573/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (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 phi2 6604434243437697/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976) (atan2.f64 (.f64 (+.f64 (.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) (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) (.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 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(if (<=.f64 lambda2 -2300000) (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 (-.f64 lambda1 lambda2)))))) (if (<=.f64 lambda2 7385903388887613/36028797018963968) (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 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))))
(if (<=.f64 lambda2 -1800000) (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (if (<=.f64 lambda2 8106479329266893/36028797018963968) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))
(if (<=.f64 lambda1 -4004566777473459/37778931862957161709568) (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 22500000000000000329190642690184643196825967226954738833768742711320418195650834857984) (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 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))))
(if (<=.f64 lambda2 -45999999999999998232112760619706208105296480165432203111147092676143042110553850846124179456) (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2))))) (if (<=.f64 lambda2 -7229475734293037/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (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 3757424194103915/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944) (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 2833419889721787/1180591620717411303424) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (neg.f64 lambda2))) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda2)))))))))
(if (<=.f64 lambda1 -2399999999999999850807477239976319853127394232631296) (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 350000000000000018924236024317333135709026770306680175649731719850201837812950323167232) (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)))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -10000000) (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 (-.f64 lambda1 lambda2) 7167183174968973/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (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 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)) (sin.f64 phi1))))))
(if (<=.f64 phi2 -7782220156096217/576460752303423488) (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 phi2)))) (if (<=.f64 phi2 5902958103587057/36893488147419103232) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.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 phi2))))))
(if (<=.f64 lambda1 -4004566777473459/37778931862957161709568) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (if (<=.f64 lambda1 3219224052291593/20769187434139310514121985316880384) (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 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1))))))
(if (<=.f64 phi2 -8070450532247929/576460752303423488) (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 phi2 3504881374004815/36893488147419103232) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.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))))))
(if (<=.f64 phi2 -7782220156096217/576460752303423488) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))) (if (<=.f64 phi2 6640827866535439/36893488147419103232) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.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 (sin.f64 phi2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))))
(if (<=.f64 phi1 -2582544170319337/36893488147419103232) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (if (<=.f64 phi1 940834429856889/2475880078570760549798248448) (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 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))))
(if (<=.f64 phi1 -7791904696734915/590295810358705651712) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)))) (if (<=.f64 phi1 940834429856889/2475880078570760549798248448) (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) phi1))) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))))))
(if (<=.f64 phi2 -5854679515581645/4503599627370496) (atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 lambda1) phi1))) (if (<=.f64 phi2 3/4) (atan2.f64 (sin.f64 (-.f64 lambda1 lambda2)) (-.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 (cos.f64 lambda1) phi1)))))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 lambda1) phi1)))
(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (sin.f64 phi2) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) phi1)))

Compiler

Compiled 1752 to 695 computations (60.3% saved)

soundness418.0ms (1%)

Algorithm

5×	egg-herbie

Rules

1182×	`trig.json-simplify-47`
1182×	`trig.json-simplify-47`
1156×	`rational_best.json-simplify-1`
1156×	`rational_best.json-simplify-1`
1156×	`rational_best.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	46	77
2	165	77
3	744	77
4	2872	77
0	371	6999
1	1010	6469
2	4029	6121
0	371	6999
1	1010	6469
2	4029	6121
0	20	77
1	46	77
2	165	77
3	744	77
4	2872	77
0	371	6999
1	1010	6469
2	4029	6121

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 475 to 156 computations (67.2% saved)

end215.0ms (0.5%)

Compiler: Compiled 1660 to 218 computations (86.9% saved)