Details

analyze723.0ms (3.3%)

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
0%	0%	99.8%	0.2%	0%	0%	0%	9
0%	0%	99.8%	0.2%	0%	0%	0%	10
0.8%	0.8%	99%	0.2%	0%	0%	0%	11
1.2%	1.2%	98.6%	0.2%	0%	0%	0%	12

Compiler

Compiled 38 to 22 computations (42.1% saved)

sample4.1s (18.6%)

Results

1.7s	6631×	body	256	valid
737.0ms	2602×	body	256	infinite
705.0ms	856×	body	1024	valid
481.0ms	466×	body	1024	infinite
308.0ms	760×	body	512	valid
149.0ms	363×	body	512	infinite
9.0ms	9×	body	2048	valid

Bogosity

preprocess83.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1188×	`rational.json-simplify-19`
1068×	`rational.json-simplify-46`
822×	`rational.json-simplify-44`
732×	`rational.json-simplify-35`
612×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	1067
1	225	1067
2	492	1067
3	1461	1067
4	6151	1067
0	5	5
1	5	5

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
1
3
4
3

Call 2

Inputs
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 lambda1 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 R lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 R lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 lambda2 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 R) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 R) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 phi1 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 R phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 R phi2) 2)))) (*.f64 (-.f64 R phi2) (-.f64 R phi2)))))
(.f64 phi2 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 R) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 R) 2)))) (*.f64 (-.f64 phi1 R) (-.f64 phi1 R)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 phi1 lambda2) (cos.f64 (/.f64 (+.f64 lambda1 phi2) 2))) (.f64 (-.f64 phi1 lambda2) (cos.f64 (/.f64 (+.f64 lambda1 phi2) 2)))) (*.f64 (-.f64 lambda1 phi2) (-.f64 lambda1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 phi2 lambda2) (cos.f64 (/.f64 (+.f64 phi1 lambda1) 2))) (.f64 (-.f64 phi2 lambda2) (cos.f64 (/.f64 (+.f64 phi1 lambda1) 2)))) (*.f64 (-.f64 phi1 lambda1) (-.f64 phi1 lambda1)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 phi1) (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2))) (.f64 (-.f64 lambda1 phi1) (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2)))) (*.f64 (-.f64 lambda2 phi2) (-.f64 lambda2 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 phi2) (cos.f64 (/.f64 (+.f64 phi1 lambda2) 2))) (.f64 (-.f64 lambda1 phi2) (cos.f64 (/.f64 (+.f64 phi1 lambda2) 2)))) (*.f64 (-.f64 phi1 lambda2) (-.f64 phi1 lambda2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))) (*.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1)))))

Outputs
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) -2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) -2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 lambda1 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 R lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 R lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 lambda1 (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (-.f64 R lambda2)) (*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (-.f64 R lambda2))))))
(.f64 lambda1 (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (-.f64 R lambda2)) (-.f64 R lambda2))))))
(.f64 lambda1 (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) -2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) -2)) (*.f64 (-.f64 R lambda2) (-.f64 R lambda2)))))))
(.f64 lambda1 (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (*.f64 (-.f64 R lambda2) (-.f64 R lambda2)))))))
(.f64 lambda2 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 R) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 R) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 lambda2 (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (-.f64 lambda1 R)) (*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (-.f64 lambda1 R))))))
(.f64 lambda2 (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) -2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) -2)) (*.f64 (-.f64 lambda1 R) (-.f64 lambda1 R)))))))
(.f64 lambda2 (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (*.f64 (-.f64 lambda1 R) (-.f64 lambda1 R)))))))
(.f64 phi1 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 R phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 R phi2) 2)))) (*.f64 (-.f64 R phi2) (-.f64 R phi2)))))
(.f64 phi1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 R phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 R phi2) 2))))) (*.f64 (-.f64 R phi2) (-.f64 R phi2)))))
(.f64 phi1 (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 R phi2) 2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 R phi2) 2))) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 R phi2) (-.f64 R phi2)))))
(.f64 phi1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 R phi2) -2)) (cos.f64 (/.f64 (+.f64 R phi2) -2))))) (*.f64 (-.f64 R phi2) (-.f64 R phi2)))))
(.f64 phi1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 R phi2) -2)) (cos.f64 (/.f64 (+.f64 R phi2) -2))))) (*.f64 (-.f64 phi2 R) (-.f64 phi2 R)))))
(.f64 phi2 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 R) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 R) 2)))) (*.f64 (-.f64 phi1 R) (-.f64 phi1 R)))))
(.f64 phi2 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 R phi1) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 R phi1) 2)))) (*.f64 (-.f64 phi1 R) (-.f64 phi1 R)))))
(.f64 phi2 (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 R phi1) 2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 R phi1) 2))) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 R) (-.f64 phi1 R)))))
(.f64 phi2 (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 R phi1) -2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 R phi1) -2))))) (*.f64 (-.f64 phi1 R) (-.f64 phi1 R)))))
(.f64 phi2 (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 R phi1) 2)) (.f64 (cos.f64 (/.f64 (+.f64 R phi1) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 R) (-.f64 phi1 R)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) -2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) -2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 phi1 lambda2) (cos.f64 (/.f64 (+.f64 lambda1 phi2) 2))) (.f64 (-.f64 phi1 lambda2) (cos.f64 (/.f64 (+.f64 lambda1 phi2) 2)))) (*.f64 (-.f64 lambda1 phi2) (-.f64 lambda1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 lambda1 phi2) 2)) (.f64 (-.f64 phi1 lambda2) (cos.f64 (/.f64 (+.f64 lambda1 phi2) 2))))) (*.f64 (-.f64 lambda1 phi2) (-.f64 lambda1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 phi2) 2)) (.f64 (-.f64 phi1 lambda2) (.f64 (-.f64 phi1 lambda2) (cos.f64 (/.f64 (+.f64 lambda1 phi2) 2))))) (*.f64 (-.f64 lambda1 phi2) (-.f64 lambda1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 phi2) -2)) (.f64 (-.f64 phi1 lambda2) (.f64 (-.f64 phi1 lambda2) (cos.f64 (/.f64 (+.f64 lambda1 phi2) -2))))) (*.f64 (-.f64 lambda1 phi2) (-.f64 lambda1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 phi2 lambda2) (cos.f64 (/.f64 (+.f64 phi1 lambda1) 2))) (.f64 (-.f64 phi2 lambda2) (cos.f64 (/.f64 (+.f64 phi1 lambda1) 2)))) (*.f64 (-.f64 phi1 lambda1) (-.f64 phi1 lambda1)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 phi2 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 lambda1 phi1) 2)) (.f64 (-.f64 phi2 lambda2) (cos.f64 (/.f64 (+.f64 lambda1 phi1) 2))))) (*.f64 (-.f64 phi1 lambda1) (-.f64 phi1 lambda1)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 phi2 lambda2) (cos.f64 (/.f64 (+.f64 lambda1 phi1) 2))) (.f64 (-.f64 phi2 lambda2) (cos.f64 (/.f64 (+.f64 lambda1 phi1) 2)))) (*.f64 (-.f64 phi1 lambda1) (-.f64 phi1 lambda1)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 phi1) 2)) (.f64 (cos.f64 (/.f64 (+.f64 lambda1 phi1) 2)) (.f64 (-.f64 phi2 lambda2) (-.f64 phi2 lambda2)))) (*.f64 (-.f64 phi1 lambda1) (-.f64 phi1 lambda1)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda1 phi1) 2)) (.f64 (cos.f64 (/.f64 (+.f64 lambda1 phi1) 2)) (.f64 (-.f64 lambda2 phi2) (-.f64 lambda2 phi2)))) (*.f64 (-.f64 lambda1 phi1) (-.f64 lambda1 phi1)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 phi1) (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2))) (.f64 (-.f64 lambda1 phi1) (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2)))) (*.f64 (-.f64 lambda2 phi2) (-.f64 lambda2 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2)) (.f64 (.f64 (-.f64 lambda1 phi1) (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2))) (-.f64 lambda1 phi1))) (*.f64 (-.f64 lambda2 phi2) (-.f64 lambda2 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2)) (.f64 (-.f64 lambda1 phi1) (-.f64 lambda1 phi1)))) (*.f64 (-.f64 lambda2 phi2) (-.f64 lambda2 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2)) (.f64 (.f64 (-.f64 lambda1 phi1) (-.f64 lambda1 phi1)) (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2)))) (*.f64 (-.f64 lambda2 phi2) (-.f64 lambda2 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 phi2) (cos.f64 (/.f64 (+.f64 phi1 lambda2) 2))) (.f64 (-.f64 lambda1 phi2) (cos.f64 (/.f64 (+.f64 phi1 lambda2) 2)))) (*.f64 (-.f64 phi1 lambda2) (-.f64 phi1 lambda2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 phi2) (cos.f64 (/.f64 (+.f64 lambda2 phi1) 2))) (.f64 (-.f64 lambda1 phi2) (cos.f64 (/.f64 (+.f64 lambda2 phi1) 2)))) (*.f64 (-.f64 phi1 lambda2) (-.f64 phi1 lambda2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda2 phi1) 2)) (.f64 (cos.f64 (/.f64 (+.f64 lambda2 phi1) 2)) (.f64 (-.f64 lambda1 phi2) (-.f64 lambda1 phi2)))) (*.f64 (-.f64 phi1 lambda2) (-.f64 phi1 lambda2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 lambda2 phi1) 2)) (.f64 (.f64 (-.f64 lambda1 phi2) (-.f64 lambda1 phi2)) (cos.f64 (/.f64 (+.f64 lambda2 phi1) 2)))) (*.f64 (-.f64 phi1 lambda2) (-.f64 phi1 lambda2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi2 phi1) 2)))) (*.f64 (-.f64 phi2 phi1) (-.f64 phi2 phi1)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) -2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) -2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

Symmetry

(sort lambda1 lambda2)

(sort phi1 phi2)

Compiler

Compiled 42 to 26 computations (38.1% saved)

simplify106.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2022×	`rational.json-simplify-35`
1230×	`rational.json-simplify-51`
1180×	`rational.json-simplify-59`
1040×	`rational.json-simplify-19`
1032×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	97
1	34	97
2	69	97
3	188	97
4	1072	97
5	2988	97
6	7375	97

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

Inputs

(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

Outputs
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

eval1.0ms (0%)

Compiler: Compiled 133 to 57 computations (57.1% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Error

40.4b

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.4b	(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
▶	40.4b	(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

Status

Error

Program

▶

40.4b

(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

▶

40.4b

(*.f64 R (sqrt.f64 (+.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

Compiler

Compiled 74 to 42 computations (43.2% saved)

localize104.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))
✓	0.1b	(.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))))
✓	3.6b	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
✓	36.9b	(sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Compiler

Compiled 171 to 58 computations (66.1% saved)

series69.0ms (0.3%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Point	Expression
44.0ms	lambda2	@	-inf	(sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
3.0ms	phi2	@	0	(sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
2.0ms	phi1	@	0	(sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
2.0ms	lambda2	@	0	(sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
1.0ms	lambda1	@	0	(sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`rational.json-simplify-35`
1084×	`exponential.json-3`
1084×	`rational.json-1`
1084×	`rational.json-2`
1084×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	212
1	130	212
2	292	212
3	768	212
4	2788	212

Stop Event

1×	node limit

Counts

4 → 58

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
(.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))))
(.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4)) (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) 4)) (.f64 2 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 2 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))) (/.f64 (/.f64 -1 (-.f64 lambda2 lambda1)) (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) 4)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) 4))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 2 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)))) (.f64 2 (/.f64 (/.f64 -1 (-.f64 lambda2 lambda1)) (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)))) (-.f64 0 (/.f64 (/.f64 -1 (-.f64 lambda2 lambda1)) (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))))) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda2 lambda1))) (.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda2 lambda1)))) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) 4))))) (.f64 2 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) 4)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda2 lambda1))))))))
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simplify360.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1190×	`rational.json-simplify-61`
1062×	`rational.json-simplify-35`
932×	`rational.json-simplify-44`
884×	`rational.json-simplify-47`
800×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	492	19868
1	1348	18258
2	3290	16900

Stop Event

1×	node limit

Counts

226 → 358

Calls

Call 1

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

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

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))
✓	0.2b	(.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
	3.6b	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
✓	36.9b	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Compiler

Compiled 160 to 61 computations (61.9% saved)

series12.0ms (0.1%)

Counts

3 → 144

Calls

36 calls:

Time	Variable		Expression
2.0ms	lambda1	@	(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))
1.0ms	phi2	@	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
1.0ms	phi1	@	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
1.0ms	lambda1	@	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
0.0ms	lambda2	@	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite404.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1656×	`exponential.json-3`
1656×	`rational.json-1`
1656×	`rational.json-2`
1656×	`rational.json-4`
1656×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	183
1	123	183
2	287	183
3	809	183
4	3591	183

Stop Event

1×	node limit

Counts

3 → 149

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))

Inputs

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

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

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4) (.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)))))
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Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi1 phi2) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi1 phi2) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi1 phi2) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 lambda1 lambda2) (*.f64 2 (cos.f64 (*.f64 (+.f64 phi1 phi2) 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi1 phi2) 1/2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi1 phi2) 1/2))) 4) (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi1 phi2) 1/2))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi1 phi2) 1/2))) 1)))))

simplify401.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1570×	`rational.json-simplify-44`
1512×	`rational.json-simplify-49`
1500×	`rational.json-simplify-47`
1446×	`rational.json-simplify-35`
1122×	`rational.json-simplify-46`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	685	30883
1	2270	28459

Stop Event

1×	node limit

Counts

293 → 392

Calls

Call 1

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

Outputs
(sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))
(sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 -1 (.f64 lambda2 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (neg.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))) (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)))) 2)) (pow.f64 lambda1 2))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 1 (pow.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2))) (pow.f64 lambda1 2)))) (.f64 -1 (.f64 lambda2 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 1/2 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (pow.f64 lambda1 2)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (neg.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1))))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))) (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) 3))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)))) 2)) (pow.f64 lambda1 3)))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)))) 2)) (pow.f64 lambda1 2)))))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 1 (pow.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2))) (pow.f64 lambda1 2)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)) 3))) (.f64 lambda2 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 1 (pow.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2))) (.f64 (pow.f64 lambda1 3) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (neg.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 1/2 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (pow.f64 lambda1 2)))) (+.f64 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 3)) lambda2)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)) 3))) 1/2)) (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)
(.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -1)))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 lambda2 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) 2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (+.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) -1)) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)) (.f64 1 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2))) (.f64 lambda1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (+.f64 (.f64 lambda2 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (.f64 1/2 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) 0) (.f64 lambda1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))))
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(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 phi1 2) (.f64 (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) -1/4) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))))) (pow.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2)) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))))) 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))))))) (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))))))) (.f64 1/2 (.f64 (pow.f64 phi1 3) (.f64 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 1/24 (sin.f64 (.f64 1/2 phi2)))) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 1/8 (sin.f64 (.f64 1/2 phi2)))))) (.f64 1/2 (.f64 (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) -1/4) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))))) (pow.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2)) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))))) 2)) (/.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2)) (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))))))))))
phi1
(+.f64 (*.f64 -1 phi2) phi1)
(+.f64 phi1 (*.f64 phi2 -1))
(+.f64 phi1 (neg.f64 phi2))
(+.f64 (.f64 -1 phi2) (+.f64 phi1 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (*.f64 -1 phi2) 2)) phi1))))
(+.f64 phi1 (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (-.f64 (pow.f64 phi2 2) (.f64 1 (pow.f64 phi2 2)))) phi1)) (*.f64 phi2 -1)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 phi2 2))) phi1)) (+.f64 phi1 (neg.f64 phi2)))
(+.f64 (.f64 -1 phi2) (+.f64 phi1 (+.f64 (.f64 1/2 (/.f64 (.f64 phi2 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2))) (pow.f64 phi1 2))) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) phi1)))))
(+.f64 phi1 (+.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (-.f64 (pow.f64 phi2 2) (.f64 1 (pow.f64 phi2 2)))) phi1)) (.f64 1/2 (.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (-.f64 (pow.f64 phi2 2) (.f64 1 (pow.f64 phi2 2)))) (/.f64 phi2 (pow.f64 phi1 2))))) (.f64 phi2 -1)))
(+.f64 (neg.f64 phi2) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 phi2 2))) phi1)) (+.f64 (.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 phi2 2))) (*.f64 (/.f64 phi2 (pow.f64 phi1 2)) 1/2)) phi1)))
(*.f64 -1 phi1)
(*.f64 phi1 -1)
(neg.f64 phi1)
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 phi2 (*.f64 phi1 -1))
(+.f64 phi2 (neg.f64 phi1))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) (+.f64 (*.f64 -1 phi1) phi2))
(+.f64 (.f64 phi1 -1) (+.f64 phi2 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1))))) 2) phi1))))
(+.f64 phi2 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))) 2) phi1)) (neg.f64 phi1)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) 2) (.f64 phi2 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2))) (+.f64 (.f64 -1 phi1) phi2)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))) 2) phi1)) (+.f64 (+.f64 phi2 (.f64 phi1 -1)) (.f64 -1/2 (/.f64 (.f64 phi2 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))) 2)) (pow.f64 phi1 2)))))
(+.f64 (+.f64 phi2 (neg.f64 phi1)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))) 2) phi1)) (.f64 -1/2 (.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))) 2) (/.f64 phi2 (pow.f64 phi1 2))))))
(sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))
(+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi1)) phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))) (.f64 (.f64 phi2 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 phi1))) 2)))) 1/2)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))) (.f64 1/2 (.f64 phi2 (.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi1)) phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 1 (.f64 (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)))))) 2)) (pow.f64 phi2 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)))))) (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (.f64 (.f64 phi2 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))) 1/2)) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))) (.f64 (pow.f64 phi2 2) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))) (-.f64 1 (.f64 1/4 (pow.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 phi1))) 2))))) 2)))))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))) (.f64 1/2 (.f64 phi2 (.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))))))) (.f64 1/2 (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))) (-.f64 1 (.f64 1/4 (pow.f64 (.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))))) 2)))) (.f64 (pow.f64 phi2 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 phi1))) 2))))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi1)) phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)))) (.f64 (pow.f64 phi2 3) (-.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi1)) (-.f64 (+.f64 1 (.f64 (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi1)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2))) (sqrt.f64 (/.f64 1 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)) (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (+.f64 1 (.f64 (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)))))) 2)) (pow.f64 phi2 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)))))) (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))
(+.f64 (.f64 (.f64 phi2 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))) 1/2)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))) (.f64 (pow.f64 phi2 2) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))) (-.f64 1 (.f64 1/4 (pow.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))))) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))) (.f64 (pow.f64 phi2 3) (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))))) (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))) (-.f64 1 (.f64 1/4 (pow.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))))) 2))))) (sqrt.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)) (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))))))))))))))
(+.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))) (.f64 1/2 (.f64 phi2 (.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))))))) (.f64 1/2 (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))) (-.f64 1 (.f64 1/4 (pow.f64 (.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))))) 2)))) (.f64 (pow.f64 phi2 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))))))) (.f64 1/2 (.f64 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/8 (cos.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))))) (.f64 1/2 (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))) (-.f64 1 (.f64 1/4 (pow.f64 (.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))))) 2)))) (.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)) (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))))))))) (.f64 (pow.f64 phi2 3) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))))))))
phi2
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 phi2 (*.f64 phi1 -1))
(+.f64 phi2 (neg.f64 phi1))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (*.f64 -1 phi1) phi2))
(+.f64 (.f64 phi1 -1) (+.f64 phi2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (*.f64 1 (pow.f64 phi1 2)))) phi2))))
(+.f64 phi2 (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 phi1 2))) phi2)) (neg.f64 phi1)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (.f64 -1 phi1) (+.f64 phi2 (.f64 1/2 (/.f64 (.f64 phi1 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)) (pow.f64 (.f64 -1 phi1) 2))) (pow.f64 phi2 2))))))
(+.f64 (.f64 phi1 -1) (+.f64 (+.f64 phi2 (.f64 1/2 (.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (.f64 1 (pow.f64 phi1 2)))) (/.f64 phi1 (pow.f64 phi2 2))))) (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (.f64 1 (pow.f64 phi1 2)))) phi2))))
(+.f64 phi2 (+.f64 (+.f64 (neg.f64 phi1) (.f64 1/2 (.f64 phi1 (/.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 phi1 2))) (pow.f64 phi2 2))))) (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 phi1 2))) phi2))))
(*.f64 -1 phi2)
(*.f64 phi2 -1)
(neg.f64 phi2)
(+.f64 phi1 (*.f64 -1 phi2))
(+.f64 phi1 (*.f64 phi2 -1))
(+.f64 phi1 (neg.f64 phi2))
(+.f64 phi1 (+.f64 (.f64 -1 phi2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2))))
(+.f64 phi1 (+.f64 (.f64 phi2 -1) (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 phi2 -1))))) 2) phi2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))) 2) phi2)) (+.f64 phi1 (neg.f64 phi2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 phi1 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi2 2))) (+.f64 phi1 (+.f64 (.f64 -1 phi2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)))))
(+.f64 (+.f64 phi1 (+.f64 (.f64 phi2 -1) (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 phi2 -1))))) 2) phi2)))) (.f64 -1/2 (.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 phi2 -1))))) 2) (/.f64 phi1 (pow.f64 phi2 2)))))
(+.f64 (+.f64 (neg.f64 phi2) (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))) 2) phi2))) (+.f64 (.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))) 2) (*.f64 (/.f64 phi1 (pow.f64 phi2 2)) -1/2)) phi1))
(.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))
(pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1))) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)))
(+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)) -2))
(+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 (.f64 lambda2 lambda1) -2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))))
(+.f64 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)) -2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 (.f64 lambda2 lambda1) -2)) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2))))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))))
(+.f64 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)) -2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 (.f64 lambda2 lambda1) -2)) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2))
(pow.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)))
(+.f64 (pow.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)) -2))
(+.f64 (pow.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 (.f64 lambda2 lambda1) -2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))))
(+.f64 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)) -2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 (.f64 lambda2 lambda1) -2)) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2))))
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(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))) 2)
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(fabs.f64 (.f64 (-.f64 lambda2 lambda1) (neg.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))))
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(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
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(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
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(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
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(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
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(/.f64 2 (.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (/.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))) (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))))
(.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))) 1)
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(/.f64 2 (.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (/.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))) (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))))
(.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))) 1)
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(/.f64 2 (.f64 (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (/.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))) (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))))
(.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))) 1)
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(.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))) 1) (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (/.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))))
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(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
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(+.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))) 0)
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(+.f64 0 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(-.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))) 0)
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(/.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))) 1)
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(/.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 2 (cos.f64 (*.f64 (+.f64 phi1 phi2) 1/2)))) 2)
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(/.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi1 phi2) 1/2))) 4) 4)
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))) 4) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))) 4)) 8)
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))) 1)
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))

eval1.5s (6.9%)

Compiler: Compiled 54517 to 30012 computations (44.9% saved)

prune517.0ms (2.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	915	13	928
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	917	13	930

Error

4.4b

Counts

930 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.8b	(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
▶	42.9b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))))
▶	60.4b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
	59.2b	(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
	50.2b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
	54.7b	(.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
	41.9b	(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
▶	40.4b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	43.4b	(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (neg.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))))) (/.f64 (.f64 (-.f64 lambda1 lambda2) (neg.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	40.4b	(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (/.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))))) (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 lambda1 lambda2) (/.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda1 lambda2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	42.1b	(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	44.1b	(*.f64 R (neg.f64 phi1))
▶	45.0b	(*.f64 R phi2)

Compiler

Compiled 740 to 446 computations (39.7% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 R (+.f64 phi2 (neg.f64 phi1)))

Compiler

Compiled 20 to 8 computations (60% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite219.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1746×	`rational.json-simplify-1`
1390×	`rational.json-1`
1390×	`rational.json-2`
1390×	`rational.json-3`
1370×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	62	17
2	139	17
3	292	17
4	586	17
5	1411	17
6	2767	17
7	4170	17
8	5418	17
9	6457	17
10	6993	17
11	7405	17
12	7627	17

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R (+.f64 phi2 (neg.f64 phi1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 R (+.f64 phi2 (neg.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 phi2 (neg.f64 phi1)) (*.f64 R 1/2)) (*.f64 (+.f64 phi2 (neg.f64 phi1)) (*.f64 R 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 R 4) (*.f64 (+.f64 phi2 (neg.f64 phi1)) 2)) (*.f64 (/.f64 R 4) (*.f64 (+.f64 phi2 (neg.f64 phi1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 phi2 (neg.f64 phi1)) 4) (+.f64 R R)) (*.f64 (/.f64 (+.f64 phi2 (neg.f64 phi1)) 4) (+.f64 R R)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (*.f64 R 1/2)) (*.f64 (+.f64 phi2 (neg.f64 phi1)) 2)) (*.f64 (*.f64 1/2 (*.f64 R 1/2)) (*.f64 (+.f64 phi2 (neg.f64 phi1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (*.f64 (+.f64 phi2 (neg.f64 phi1)) 1/2)) (+.f64 R R)) (*.f64 (*.f64 1/2 (*.f64 (+.f64 phi2 (neg.f64 phi1)) 1/2)) (+.f64 R R)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/4 (*.f64 (+.f64 phi2 (neg.f64 phi1)) 1/2)) (*.f64 R 4)) (*.f64 (*.f64 1/4 (*.f64 (+.f64 phi2 (neg.f64 phi1)) 1/2)) (*.f64 R 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/4 (*.f64 R 1/2)) (*.f64 (+.f64 phi2 (neg.f64 phi1)) 4)) (*.f64 (*.f64 1/4 (*.f64 R 1/2)) (*.f64 (+.f64 phi2 (neg.f64 phi1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (*.f64 R 1/2)) (+.f64 (*.f64 phi1 -2) (+.f64 phi2 phi2))) (*.f64 (*.f64 1/2 (*.f64 R 1/2)) (+.f64 (*.f64 phi1 -2) (+.f64 phi2 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (/.f64 (+.f64 phi2 (neg.f64 phi1)) 4)) (*.f64 R 4)) (*.f64 (*.f64 1/2 (/.f64 (+.f64 phi2 (neg.f64 phi1)) 4)) (*.f64 R 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (/.f64 R 4)) (*.f64 (+.f64 phi2 (neg.f64 phi1)) 4)) (*.f64 (*.f64 1/2 (/.f64 R 4)) (*.f64 (+.f64 phi2 (neg.f64 phi1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (+.f64 phi2 (neg.f64 phi1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (+.f64 phi2 (neg.f64 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 phi2 (neg.f64 phi1)) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 phi2 (neg.f64 phi1)) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (*.f64 (+.f64 phi2 (neg.f64 phi1)) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 16 (*.f64 R (+.f64 phi2 (neg.f64 phi1)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 16 (*.f64 R (+.f64 phi2 (neg.f64 phi1))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 16 (*.f64 R (+.f64 phi2 (neg.f64 phi1)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 16 (*.f64 R (+.f64 phi2 (neg.f64 phi1))))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 R (+.f64 phi2 (neg.f64 phi1))) 1)))))

simplify176.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2688×	`rational.json-simplify-51`
1690×	`rational.json-simplify-1`
1582×	`rational.json-simplify-35`
1408×	`rational.json-simplify-2`
1184×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	1216
1	206	1130
2	460	890
3	1049	890
4	3130	890
5	4638	890
6	4879	890
7	5007	890
8	5110	890
9	5209	890
10	7298	890

Stop Event

1×	node limit

Counts

58 → 33

Calls

Call 1

Inputs
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(.f64 -1 (.f64 phi1 R))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(.f64 -1 (.f64 phi1 R))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(.f64 -1 (.f64 phi1 R))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (*.f64 R (+.f64 phi2 (neg.f64 phi1))) 0)
(+.f64 0 (*.f64 R (+.f64 phi2 (neg.f64 phi1))))
(+.f64 (.f64 (+.f64 phi2 (neg.f64 phi1)) (.f64 R 1/2)) (.f64 (+.f64 phi2 (neg.f64 phi1)) (.f64 R 1/2)))
(+.f64 (.f64 (/.f64 R 4) (.f64 (+.f64 phi2 (neg.f64 phi1)) 2)) (.f64 (/.f64 R 4) (.f64 (+.f64 phi2 (neg.f64 phi1)) 2)))
(+.f64 (.f64 (/.f64 (+.f64 phi2 (neg.f64 phi1)) 4) (+.f64 R R)) (.f64 (/.f64 (+.f64 phi2 (neg.f64 phi1)) 4) (+.f64 R R)))
(+.f64 (.f64 (.f64 1/2 (.f64 R 1/2)) (.f64 (+.f64 phi2 (neg.f64 phi1)) 2)) (.f64 (.f64 1/2 (.f64 R 1/2)) (.f64 (+.f64 phi2 (neg.f64 phi1)) 2)))
(+.f64 (.f64 (.f64 1/2 (.f64 (+.f64 phi2 (neg.f64 phi1)) 1/2)) (+.f64 R R)) (.f64 (.f64 1/2 (.f64 (+.f64 phi2 (neg.f64 phi1)) 1/2)) (+.f64 R R)))
(+.f64 (.f64 (.f64 1/4 (.f64 (+.f64 phi2 (neg.f64 phi1)) 1/2)) (.f64 R 4)) (.f64 (.f64 1/4 (.f64 (+.f64 phi2 (neg.f64 phi1)) 1/2)) (.f64 R 4)))
(+.f64 (.f64 (.f64 1/4 (.f64 R 1/2)) (.f64 (+.f64 phi2 (neg.f64 phi1)) 4)) (.f64 (.f64 1/4 (.f64 R 1/2)) (.f64 (+.f64 phi2 (neg.f64 phi1)) 4)))
(+.f64 (.f64 (.f64 1/2 (.f64 R 1/2)) (+.f64 (.f64 phi1 -2) (+.f64 phi2 phi2))) (.f64 (.f64 1/2 (.f64 R 1/2)) (+.f64 (.f64 phi1 -2) (+.f64 phi2 phi2))))
(+.f64 (.f64 (.f64 1/2 (/.f64 (+.f64 phi2 (neg.f64 phi1)) 4)) (.f64 R 4)) (.f64 (.f64 1/2 (/.f64 (+.f64 phi2 (neg.f64 phi1)) 4)) (.f64 R 4)))
(+.f64 (.f64 (.f64 1/2 (/.f64 R 4)) (.f64 (+.f64 phi2 (neg.f64 phi1)) 4)) (.f64 (.f64 1/2 (/.f64 R 4)) (.f64 (+.f64 phi2 (neg.f64 phi1)) 4)))
(-.f64 (*.f64 R (+.f64 phi2 (neg.f64 phi1))) 0)
(/.f64 (*.f64 R (+.f64 phi2 (neg.f64 phi1))) 1)
(/.f64 (*.f64 (+.f64 phi2 (neg.f64 phi1)) (+.f64 R R)) 2)
(/.f64 (.f64 (+.f64 phi2 (neg.f64 phi1)) (.f64 R 4)) 4)
(/.f64 (.f64 R (.f64 (+.f64 phi2 (neg.f64 phi1)) 8)) 8)
(/.f64 (.f64 16 (.f64 R (+.f64 phi2 (neg.f64 phi1)))) 16)
(/.f64 (.f64 2 (.f64 16 (*.f64 R (+.f64 phi2 (neg.f64 phi1))))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 16 (.f64 R (+.f64 phi2 (neg.f64 phi1)))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 16 (*.f64 R (+.f64 phi2 (neg.f64 phi1))))))) 128)
(pow.f64 (*.f64 R (+.f64 phi2 (neg.f64 phi1))) 1)

Outputs
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (-.f64 phi2 phi1))
(.f64 -1 (.f64 phi1 R))
(.f64 phi1 (.f64 R -1))
(*.f64 R (neg.f64 phi1))
(*.f64 phi1 (neg.f64 R))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(.f64 -1 (.f64 phi1 R))
(.f64 phi1 (.f64 R -1))
(*.f64 R (neg.f64 phi1))
(*.f64 phi1 (neg.f64 R))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(.f64 -1 (.f64 phi1 R))
(.f64 phi1 (.f64 R -1))
(*.f64 R (neg.f64 phi1))
(*.f64 phi1 (neg.f64 R))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (*.f64 R (+.f64 phi2 (neg.f64 phi1))) 0)
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 0 (*.f64 R (+.f64 phi2 (neg.f64 phi1))))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 (+.f64 phi2 (neg.f64 phi1)) (.f64 R 1/2)) (.f64 (+.f64 phi2 (neg.f64 phi1)) (.f64 R 1/2)))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 (/.f64 R 4) (.f64 (+.f64 phi2 (neg.f64 phi1)) 2)) (.f64 (/.f64 R 4) (.f64 (+.f64 phi2 (neg.f64 phi1)) 2)))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 (/.f64 (+.f64 phi2 (neg.f64 phi1)) 4) (+.f64 R R)) (.f64 (/.f64 (+.f64 phi2 (neg.f64 phi1)) 4) (+.f64 R R)))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 (.f64 1/2 (.f64 R 1/2)) (.f64 (+.f64 phi2 (neg.f64 phi1)) 2)) (.f64 (.f64 1/2 (.f64 R 1/2)) (.f64 (+.f64 phi2 (neg.f64 phi1)) 2)))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 (.f64 1/2 (.f64 (+.f64 phi2 (neg.f64 phi1)) 1/2)) (+.f64 R R)) (.f64 (.f64 1/2 (.f64 (+.f64 phi2 (neg.f64 phi1)) 1/2)) (+.f64 R R)))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 (.f64 1/4 (.f64 (+.f64 phi2 (neg.f64 phi1)) 1/2)) (.f64 R 4)) (.f64 (.f64 1/4 (.f64 (+.f64 phi2 (neg.f64 phi1)) 1/2)) (.f64 R 4)))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 (.f64 1/4 (.f64 R 1/2)) (.f64 (+.f64 phi2 (neg.f64 phi1)) 4)) (.f64 (.f64 1/4 (.f64 R 1/2)) (.f64 (+.f64 phi2 (neg.f64 phi1)) 4)))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 (.f64 1/2 (.f64 R 1/2)) (+.f64 (.f64 phi1 -2) (+.f64 phi2 phi2))) (.f64 (.f64 1/2 (.f64 R 1/2)) (+.f64 (.f64 phi1 -2) (+.f64 phi2 phi2))))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 (.f64 1/2 (/.f64 (+.f64 phi2 (neg.f64 phi1)) 4)) (.f64 R 4)) (.f64 (.f64 1/2 (/.f64 (+.f64 phi2 (neg.f64 phi1)) 4)) (.f64 R 4)))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 (.f64 1/2 (/.f64 R 4)) (.f64 (+.f64 phi2 (neg.f64 phi1)) 4)) (.f64 (.f64 1/2 (/.f64 R 4)) (.f64 (+.f64 phi2 (neg.f64 phi1)) 4)))
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(-.f64 (*.f64 R (+.f64 phi2 (neg.f64 phi1))) 0)
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(/.f64 (*.f64 R (+.f64 phi2 (neg.f64 phi1))) 1)
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(/.f64 (*.f64 (+.f64 phi2 (neg.f64 phi1)) (+.f64 R R)) 2)
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(/.f64 (.f64 (+.f64 phi2 (neg.f64 phi1)) (.f64 R 4)) 4)
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(/.f64 (.f64 R (.f64 (+.f64 phi2 (neg.f64 phi1)) 8)) 8)
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(/.f64 (.f64 16 (.f64 R (+.f64 phi2 (neg.f64 phi1)))) 16)
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(/.f64 (.f64 2 (.f64 16 (*.f64 R (+.f64 phi2 (neg.f64 phi1))))) 32)
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(/.f64 (.f64 2 (.f64 2 (.f64 16 (.f64 R (+.f64 phi2 (neg.f64 phi1)))))) 64)
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 16 (*.f64 R (+.f64 phi2 (neg.f64 phi1))))))) 128)
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(pow.f64 (*.f64 R (+.f64 phi2 (neg.f64 phi1))) 1)
(+.f64 (.f64 phi1 (.f64 R -1)) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))

localize5.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)
✓	0.2b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
✓	3.6b	(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))

Compiler

Compiled 42 to 21 computations (50% saved)

series8.0ms (0%)

Counts

3 → 48

Calls

27 calls:

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

rewrite127.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1716×	`rational.json-simplify-35`
1262×	`exponential.json-3`
1262×	`rational.json-1`
1262×	`rational.json-2`
1262×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	88	69
2	188	69
3	412	69
4	826	69
5	2033	69
6	4034	69
7	5465	69
8	6723	69

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

Inputs
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) (*.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1))) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R (+.f64 lambda1 lambda1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R (*.f64 lambda1 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 1/2 lambda1)) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 1/2 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda1 lambda1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1) 1)))))

simplify284.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1690×	`rational.json-simplify-51`
1634×	`rational.json-simplify-2`
1492×	`rational.json-simplify-35`
864×	`rational.json-simplify-42`
838×	`rational.json-simplify-1`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	203	3503
1	530	3455
2	1362	3291
3	2749	3291
4	3962	3291
5	4559	3291
6	5020	3291
7	5348	3291
8	6587	3159

Stop Event

1×	node limit

Counts

97 → 172

Calls

Call 1

Inputs
(cos.f64 (*.f64 1/2 phi2))
(+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (cos.f64 (.f64 1/2 phi2)))) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (cos.f64 (.f64 1/2 phi2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi1 3) (sin.f64 (.f64 1/2 phi2)))) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(cos.f64 (*.f64 1/2 phi1))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 -1/8 (.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 phi2 2)))))
(+.f64 (.f64 1/48 (.f64 (pow.f64 phi2 3) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R lambda1)))) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R lambda1)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R lambda1)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R lambda1)))) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(+.f64 (.f64 -1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(+.f64 (.f64 -1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (+.f64 (.f64 -1/8 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 -1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (+.f64 (.f64 1/48 (.f64 R (.f64 (pow.f64 phi2 3) (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (+.f64 (.f64 -1/8 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (+.f64 (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 1/48 (.f64 (pow.f64 phi2 3) (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) lambda1)
(+.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 0)
(+.f64 0 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))
(+.f64 (.f64 1/2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))
(-.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 0)
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 1)
(.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 2 (.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) 1/2)
(.f64 4 (/.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 4))
(.f64 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4) 1/4)
(.f64 1/4 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4))
(.f64 (.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 2)
(.f64 (/.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 4) 4)
(/.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 1)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) 2)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 4) 4)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 8) 8)
(/.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 8))))) 128)
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 1)
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1))) (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1))))
(-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)) 0)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)) 1)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R (+.f64 lambda1 lambda1))) 2)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R (.f64 lambda1 4))) 4)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1)) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1)) 8))))) 128)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)) 1)
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 1/2 lambda1)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 1/2 lambda1)))
(-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) 0)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) 1)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda1 lambda1)) 2)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 4)) 4)
(/.f64 (.f64 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1) 8))))) 128)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) 1)

Outputs
(cos.f64 (*.f64 1/2 phi2))
(cos.f64 (*.f64 phi2 -1/2))
(+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))
(+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2)))))
(+.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2)))))
(+.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (cos.f64 (.f64 1/2 phi2)))) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))
(+.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (*.f64 1/2 phi2)) -1/8))))
(+.f64 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (pow.f64 phi1 2) -1/8)) (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2)))) (+.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (*.f64 phi2 -1/2)) -1/8))))
(+.f64 (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (+.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 -1/8 (.f64 (cos.f64 (*.f64 phi2 -1/2)) (pow.f64 phi1 2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (cos.f64 (.f64 1/2 phi2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi1 3) (sin.f64 (.f64 1/2 phi2)))) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))))
(+.f64 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi2)) -1/8)) (+.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi2)) (pow.f64 phi1 3)))))
(+.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 (+.f64 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2)))) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/48 (pow.f64 phi1 3)))) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (pow.f64 phi1 2) -1/8))))
(+.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 phi2 -1/2)) -1/8)) (+.f64 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2)))) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/48 (pow.f64 phi1 3))))))
(+.f64 (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/48 (pow.f64 phi1 3))) (+.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 -1/8 (.f64 (cos.f64 (.f64 phi2 -1/2)) (pow.f64 phi1 2))))))
(+.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 phi2 -1/2)) (pow.f64 phi1 2))) (.f64 (sin.f64 (.f64 1/2 phi2)) (+.f64 (.f64 1/48 (pow.f64 phi1 3)) (.f64 -1/2 phi1)))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(cos.f64 (*.f64 1/2 phi1))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2)))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2)))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 -1/8 (.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 phi2 2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/8 (pow.f64 phi2 2))) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 -1/2 phi2))))
(+.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 -1/8 (pow.f64 phi2 2))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 -1/8 (pow.f64 phi2 2)))))
(+.f64 (.f64 1/48 (.f64 (pow.f64 phi2 3) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (+.f64 (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2)))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/8 (pow.f64 phi2 2))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/8 (pow.f64 phi2 2))) (.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (.f64 1/48 (pow.f64 phi2 3)) (.f64 phi2 -1/2)))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R lambda1))
(.f64 lambda1 (.f64 (cos.f64 (*.f64 phi2 -1/2)) R))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R lambda1)))) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 R lambda1)) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R lambda1)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 R lambda1)) (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R lambda1)) (.f64 phi1 -1/2)))
(+.f64 (.f64 lambda1 (.f64 (cos.f64 (.f64 phi2 -1/2)) R)) (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R lambda1)) (.f64 -1/2 phi1)))
(+.f64 (.f64 lambda1 (.f64 (cos.f64 (.f64 phi2 -1/2)) R)) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 R lambda1)))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R lambda1)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R lambda1)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 R lambda1)) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R lambda1))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 R lambda1)) (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R lambda1)) (.f64 phi1 -1/2)) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (*.f64 (pow.f64 phi1 2) lambda1) -1/8)))))
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(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 R lambda1))
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(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
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(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)
(.f64 (cos.f64 (.f64 phi2 -1/2)) lambda1)
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))))
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(+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) lambda1) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))))
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(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi1 2) lambda1)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))))))
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(+.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) -1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (.f64 (pow.f64 phi1 2) lambda1) -1/8))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 (pow.f64 phi1 3) lambda1) 1/48)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
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(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 lambda1))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/48 (.f64 (pow.f64 phi1 3) lambda1))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi1 2) lambda1))))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/48 (.f64 (pow.f64 phi1 3) lambda1))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi1 2) lambda1))))))
(+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) (+.f64 (.f64 1/48 (pow.f64 phi1 3)) (.f64 -1/2 phi1))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (.f64 -1/8 (*.f64 (pow.f64 phi1 2) lambda1)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda1))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))))
(+.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 phi2)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (.f64 (pow.f64 phi2 2) lambda1) -1/8)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda1))) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda1)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (+.f64 (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 1/48 (.f64 (pow.f64 phi2 3) (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))))))
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(+.f64 (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 3) lambda1))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda1))) (+.f64 (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 3) lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda1))) (+.f64 (.f64 1/48 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) lambda1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))))))
(+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (+.f64 (.f64 1/48 (pow.f64 phi2 3)) (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 -1/8 (*.f64 (pow.f64 phi2 2) lambda1)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) lambda1)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) lambda1)
(+.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 0)
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(+.f64 0 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(+.f64 (.f64 1/2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 1/2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(-.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 0)
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2))
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 1)
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(.f64 2 (.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(.f64 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) 1/2)
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(.f64 4 (/.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 4))
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(.f64 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4) 1/4)
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(.f64 1/4 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4))
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(.f64 (.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 2)
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(.f64 (/.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 4) 4)
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(/.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 1)
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) 2)
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 4) 4)
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 8) 8)
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(/.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 8)) 16)
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 8))) 32)
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 8)))) 64)
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 8))))) 128)
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 1)
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)) 0)
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))))
(.f64 lambda1 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))))
(.f64 lambda1 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1))) (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))))
(.f64 lambda1 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)) 0)
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))))
(.f64 lambda1 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)) 1)
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))))
(.f64 lambda1 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R (+.f64 lambda1 lambda1))) 2)
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))))
(.f64 lambda1 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R (.f64 lambda1 4))) 4)
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))))
(.f64 lambda1 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(/.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1)) 8) 8)
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))))
(.f64 lambda1 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)) 8)) 16)
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))))
(.f64 lambda1 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1)) 8))) 32)
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))))
(.f64 lambda1 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)) 8)))) 64)
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))))
(.f64 lambda1 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R lambda1)) 8))))) 128)
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))))
(.f64 lambda1 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda1)) 1)
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2))))
(.f64 lambda1 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) 0)
(.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 lambda1 (cos.f64 (.f64 (+.f64 phi2 phi1) -1/2)))
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 lambda1 (cos.f64 (.f64 (+.f64 phi2 phi1) -1/2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 1/2 lambda1)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 1/2 lambda1)))
(.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 lambda1 (cos.f64 (.f64 (+.f64 phi2 phi1) -1/2)))
(-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) 0)
(.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 lambda1 (cos.f64 (.f64 (+.f64 phi2 phi1) -1/2)))
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) 1)
(.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 lambda1 (cos.f64 (.f64 (+.f64 phi2 phi1) -1/2)))
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda1 lambda1)) 2)
(.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 lambda1 (cos.f64 (.f64 (+.f64 phi2 phi1) -1/2)))
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 4)) 4)
(.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 lambda1 (cos.f64 (.f64 (+.f64 phi2 phi1) -1/2)))
(/.f64 (.f64 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1) 8) 8)
(.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 lambda1 (cos.f64 (.f64 (+.f64 phi2 phi1) -1/2)))
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) 8)) 16)
(.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 lambda1 (cos.f64 (.f64 (+.f64 phi2 phi1) -1/2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1) 8))) 32)
(.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 lambda1 (cos.f64 (.f64 (+.f64 phi2 phi1) -1/2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) 8)))) 64)
(.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 lambda1 (cos.f64 (.f64 (+.f64 phi2 phi1) -1/2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1) 8))))) 128)
(.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 lambda1 (cos.f64 (.f64 (+.f64 phi2 phi1) -1/2)))
(pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) 1)
(.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 lambda1 (cos.f64 (.f64 (+.f64 phi2 phi1) -1/2)))

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.2b

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

✓

0.2b

(*.f64 R (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))))

✓

3.6b

(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))

Compiler

Compiled 55 to 23 computations (58.2% saved)

series14.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	lambda2	@	0	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))))
1.0ms	R	@	0	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))))
1.0ms	phi2	@	0	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))))
1.0ms	phi2	@	inf	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))))
0.0ms	phi1	@	0	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))))

rewrite135.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1516×	`rational.json-1`
1516×	`rational.json-2`
1468×	`exponential.json-3`
1468×	`rational.json-4`
1468×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	89
1	111	89
2	236	89
3	509	89
4	1062	89
5	2679	89
6	4621	89
7	6155	89
8	7973	89

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

Inputs

(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))

(*.f64 R (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))) (*.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (+.f64 lambda2 (neg.f64 lambda1))))) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (+.f64 lambda2 (neg.f64 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (+.f64 lambda2 (neg.f64 lambda1)) (+.f64 R R))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (*.f64 R 4) (+.f64 lambda2 (neg.f64 lambda1)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (*.f64 R 4) (+.f64 lambda2 (neg.f64 lambda1))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (*.f64 R 4) (+.f64 lambda2 (neg.f64 lambda1)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (*.f64 R 4) (+.f64 lambda2 (neg.f64 lambda1))))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (*.f64 R 4) (+.f64 lambda2 (neg.f64 lambda1)))))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 1/2 (+.f64 lambda2 (neg.f64 lambda1)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 1/2 (+.f64 lambda2 (neg.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (+.f64 lambda2 (neg.f64 lambda1)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (+.f64 lambda2 (neg.f64 lambda1)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (+.f64 lambda2 (neg.f64 lambda1)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (+.f64 lambda2 (neg.f64 lambda1)) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (+.f64 lambda2 (neg.f64 lambda1)) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (+.f64 lambda2 (neg.f64 lambda1)) 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))) 1)))))

simplify291.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1882×	`rational.json-simplify-51`
1766×	`rational.json-simplify-35`
1700×	`rational.json-simplify-2`
894×	`rational.json-simplify-1`
796×	`rational.json-simplify-26`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	215	8210
1	562	7502
2	1433	6494
3	2750	6494
4	3796	6494
5	4353	6494
6	4712	6494
7	5241	6494
8	6360	6318

Stop Event

1×	node limit

Counts

178 → 196

Calls

Call 1

Inputs
(cos.f64 (*.f64 1/2 phi1))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 -1/8 (.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 phi2 2)))))
(+.f64 (.f64 1/48 (.f64 (pow.f64 phi2 3) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))))
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (*.f64 1/2 phi2))
(+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (cos.f64 (.f64 1/2 phi2)))) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (cos.f64 (.f64 1/2 phi2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi1 3) (sin.f64 (.f64 1/2 phi2)))) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))))
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(+.f64 (.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (-.f64 lambda2 lambda1))))
(+.f64 (.f64 -1/8 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) (-.f64 lambda2 lambda1))))) (+.f64 (.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))))
(+.f64 (.f64 1/48 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 (pow.f64 phi2 3) (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (.f64 -1/8 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) (-.f64 lambda2 lambda1))))) (+.f64 (.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (-.f64 lambda2 lambda1))))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (.f64 R (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R (-.f64 lambda2 lambda1))))))
(+.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda2 lambda1)))))))
(+.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R (-.f64 lambda2 lambda1))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R (-.f64 lambda2 lambda1))))))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 R (-.f64 lambda2 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 lambda2 lambda1))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 lambda2 lambda1)) (.f64 -1/2 (.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (.f64 1/2 phi1))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi2 2)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 lambda2 lambda1)) (.f64 -1/2 (.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (.f64 1/2 phi1)))))))
(+.f64 (.f64 1/48 (.f64 (pow.f64 phi2 3) (.f64 (-.f64 lambda2 lambda1) (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi2 2)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 lambda2 lambda1)) (.f64 -1/2 (.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (.f64 1/2 phi1))))))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) (-.f64 lambda2 lambda1))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 1/48 (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) (-.f64 lambda2 lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))
(+.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 0)
(+.f64 0 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(+.f64 (.f64 1/2 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 1/2 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))
(-.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 0)
(.f64 1/2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 1)
(.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(.f64 2 (.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2) 1/2)
(.f64 4 (/.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 4))
(.f64 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 4) 1/4)
(.f64 1/4 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 4))
(.f64 (.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))) 2)
(.f64 (/.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 4) 4)
(/.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 1)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) 2)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 4) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 4))))) 64)
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 1)
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 R (+.f64 lambda2 (neg.f64 lambda1))))) (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 R (+.f64 lambda2 (neg.f64 lambda1))))))
(-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))) 0)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))) 1)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (+.f64 lambda2 (neg.f64 lambda1)) (+.f64 R R))) 2)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (.f64 R 4) (+.f64 lambda2 (neg.f64 lambda1)))) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (*.f64 R 4) (+.f64 lambda2 (neg.f64 lambda1))))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (.f64 R 4) (+.f64 lambda2 (neg.f64 lambda1)))))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (*.f64 R 4) (+.f64 lambda2 (neg.f64 lambda1))))))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (.f64 R 4) (+.f64 lambda2 (neg.f64 lambda1)))))))) 64)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))) 1)
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 1/2 (+.f64 lambda2 (neg.f64 lambda1)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 1/2 (+.f64 lambda2 (neg.f64 lambda1)))))
(-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))) 0)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))) 1)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (+.f64 lambda2 (neg.f64 lambda1)) 2)) 2)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (+.f64 lambda2 (neg.f64 lambda1)) 4)) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (+.f64 lambda2 (neg.f64 lambda1)) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (+.f64 lambda2 (neg.f64 lambda1)) 4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (+.f64 lambda2 (neg.f64 lambda1)) 4))))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (+.f64 lambda2 (neg.f64 lambda1)) 4)))))) 64)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))) 1)

Outputs
(cos.f64 (*.f64 1/2 phi1))
(cos.f64 (*.f64 phi1 -1/2))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))))
(+.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))))
(+.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 -1/8 (.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 phi2 2)))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 (pow.f64 phi2 2) -1/8))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 -1/8 (pow.f64 phi2 2)))))
(+.f64 (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (+.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 -1/8 (pow.f64 phi2 2)))))
(+.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 -1/8 (pow.f64 phi2 2)))))
(+.f64 (.f64 1/48 (.f64 (pow.f64 phi2 3) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (+.f64 (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) -1/8))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)))))
(+.f64 (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (+.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 3) 1/48))))
(+.f64 (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/48 (pow.f64 phi2 3))) (+.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 -1/8 (pow.f64 phi2 2))))))
(+.f64 (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (+.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 -1/8 (pow.f64 phi2 2))) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/48 (pow.f64 phi2 3))))))
(+.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 -1/8 (pow.f64 phi2 2))) (+.f64 (+.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/48 (pow.f64 phi2 3)))))
(+.f64 (+.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (.f64 1/48 (pow.f64 phi2 3)) (.f64 -1/2 phi2))))
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 phi2 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(cos.f64 (*.f64 1/2 (-.f64 (neg.f64 phi2) phi1)))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 phi2 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(cos.f64 (*.f64 1/2 (-.f64 (neg.f64 phi2) phi1)))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 phi2 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(cos.f64 (*.f64 1/2 (-.f64 (neg.f64 phi2) phi1)))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 phi2 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(cos.f64 (*.f64 1/2 (-.f64 (neg.f64 phi2) phi1)))
(cos.f64 (*.f64 1/2 phi2))
(+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))
(+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))
(+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 -1/2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (cos.f64 (.f64 1/2 phi2)))) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))
(+.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (*.f64 1/2 phi2)) -1/8)))
(+.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 (pow.f64 phi1 2) -1/8))))
(+.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 -1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 -1/8 (pow.f64 phi1 2)))))
(+.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 -1/8 (.f64 (cos.f64 (*.f64 1/2 phi2)) (pow.f64 phi1 2))))
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(.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 lambda2 lambda1))
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(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 phi2 -1)))) (-.f64 lambda2 lambda1))
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(.f64 (cos.f64 (.f64 1/2 (-.f64 (neg.f64 phi2) phi1))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 phi2 -1)))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 (neg.f64 phi2) phi1))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 phi2 -1)))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 (neg.f64 phi2) phi1))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 phi2 -1)))) (-.f64 lambda2 lambda1))
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(.f64 (cos.f64 (.f64 1/2 (-.f64 (neg.f64 phi2) phi1))) (-.f64 lambda2 lambda1))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))
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(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda2 lambda1))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
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(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))
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(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))
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(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))
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(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))
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(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))
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(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))
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(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))
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(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))
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(pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))) 1)
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(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))

localize55.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))
✓	0.4b	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))
	3.6b	(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
✓	36.9b	(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Compiler

Compiled 180 to 72 computations (60% saved)

series11.0ms (0%)

Counts

3 → 120

Calls

30 calls:

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

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1476×	`rational.json-simplify-35`
1046×	`exponential.json-3`
1046×	`rational.json-1`
1046×	`rational.json-2`
1046×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	181
1	127	181
2	268	181
3	705	181
4	2599	181

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

Inputs

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

(*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 lambda1 lambda2) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 lambda1 lambda2) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 lambda1 lambda2) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 lambda1 lambda2) (/.f64 1 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 lambda1 lambda2) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 lambda1 lambda2) 2) (*.f64 2 (/.f64 1 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 lambda2 lambda1) (-.f64 0 (/.f64 1 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 lambda1 lambda2) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 lambda1 lambda2) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 lambda1 lambda2) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 4))) (*.f64 2 (*.f64 (-.f64 lambda1 lambda2) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 lambda1 lambda2) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))) 1)))))

simplify211.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1250×	`rational.json-simplify-61`
838×	`rational.json-simplify-35`
794×	`rational.json-simplify-1`
772×	`rational.json-simplify-2`
722×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	592	20694
1	1743	18554
2	7480	18374

Stop Event

1×	node limit

Counts

236 → 355

Calls

Call 1

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

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

eval934.0ms (4.2%)

Compiler: Compiled 37848 to 22337 computations (41% saved)

prune333.0ms (1.5%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	861	19	880
Fresh	6	2	8
Picked	1	0	1
Done	3	1	4
Total	871	22	893

Error

4.3b

Counts

893 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	46.1b	(+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (-.f64 lambda2 lambda1))) (.f64 -1/2 R)) (.f64 R (.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 (-.f64 lambda2 lambda1) (.f64 -1/8 (.f64 (pow.f64 phi2 2) (-.f64 lambda2 lambda1)))))))
▶	45.5b	(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (-.f64 lambda2 lambda1))) (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) phi2)) (.f64 R -1/2)))
	26.8b	(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
▶	44.0b	(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1)))
	44.4b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda2 lambda1)))
	60.8b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R lambda1))
▶	44.1b	(*.f64 phi1 (neg.f64 R))
	50.2b	(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
	60.8b	(.f64 lambda1 (.f64 (cos.f64 (*.f64 phi2 -1/2)) R))
	60.4b	(.f64 lambda1 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
▶	26.8b	(*.f64 R (-.f64 phi2 phi1))
	45.8b	(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 (*.f64 phi1 (-.f64 lambda2 lambda1))))))
	46.1b	(.f64 R (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (-.f64 lambda2 lambda1)))) (.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 (-.f64 lambda2 lambda1) (.f64 -1/8 (*.f64 (pow.f64 phi2 2) (-.f64 lambda2 lambda1)))))))
	45.2b	(.f64 R (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))))))
	44.4b	(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2))))
	45.4b	(.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 -1/2))) (+.f64 lambda2 (neg.f64 lambda1))))
▶	44.0b	(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)))
	61.5b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
	59.2b	(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
	41.9b	(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	41.3b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
✓	45.0b	(*.f64 R phi2)

Compiler

Compiled 844 to 592 computations (29.9% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 R (-.f64 phi2 phi1))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	phi2	@	inf	(*.f64 R (-.f64 phi2 phi1))
0.0ms	R	@	0	(*.f64 R (-.f64 phi2 phi1))
0.0ms	phi2	@	-inf	(*.f64 R (-.f64 phi2 phi1))
0.0ms	phi1	@	-inf	(*.f64 R (-.f64 phi2 phi1))
0.0ms	phi1	@	inf	(*.f64 R (-.f64 phi2 phi1))

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`rational.json-1`
1388×	`rational.json-2`
1388×	`rational.json-3`
1384×	`exponential.json-3`
1384×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	45	13
2	103	13
3	223	13
4	410	13
5	943	13
6	2570	13
7	4993	13
8	6568	13

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(*.f64 R (-.f64 phi2 phi1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R (-.f64 phi2 phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 R (-.f64 phi2 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 R (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (+.f64 R R) (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R (*.f64 (-.f64 phi2 phi1) 1/2)) (*.f64 R (*.f64 (-.f64 phi2 phi1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (-.f64 phi2 phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 R (-.f64 phi1 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (+.f64 R R) (*.f64 (-.f64 phi1 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (-.f64 phi1 phi2)) (*.f64 R (*.f64 (-.f64 phi2 phi1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 R R) (*.f64 (-.f64 phi1 phi2) 1/2)) (*.f64 2 (*.f64 (+.f64 R R) (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (-.f64 phi2 phi1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (*.f64 (-.f64 phi2 phi1) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (*.f64 (-.f64 phi2 phi1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (*.f64 (-.f64 phi2 phi1) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 R (*.f64 (-.f64 phi2 phi1) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 R (*.f64 (-.f64 phi2 phi1) 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (-.f64 phi1 phi2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 R R) (*.f64 (-.f64 phi1 phi2) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 R (*.f64 (-.f64 phi2 phi1) 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 R (*.f64 (-.f64 phi2 phi1) 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 R (-.f64 phi2 phi1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 R (-.f64 phi1 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 R R) (*.f64 (-.f64 phi1 phi2) 1/2)))))))

simplify156.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2556×	`rational.json-simplify-2`
1366×	`rational.json-simplify-35`
1192×	`rational.json-simplify-43`
1148×	`rational.json-simplify-48`
894×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	809
1	173	767
2	344	659
3	807	659
4	2787	659
5	4513	659
6	5174	659
7	5514	659
8	6314	659
9	7831	659

Stop Event

1×	node limit

Counts

47 → 32

Calls

Call 1

Inputs
(.f64 -1 (.f64 phi1 R))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(.f64 -1 (.f64 phi1 R))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(.f64 -1 (.f64 phi1 R))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (*.f64 R (-.f64 phi2 phi1)) 0)
(+.f64 0 (*.f64 R (-.f64 phi2 phi1)))
(+.f64 -1 (-.f64 1 (*.f64 R (-.f64 phi1 phi2))))
(+.f64 -1 (-.f64 1 (.f64 (+.f64 R R) (.f64 (-.f64 phi1 phi2) 1/2))))
(+.f64 (.f64 R (.f64 (-.f64 phi2 phi1) 1/2)) (.f64 R (.f64 (-.f64 phi2 phi1) 1/2)))
(-.f64 (*.f64 R (-.f64 phi2 phi1)) 0)
(-.f64 0 (*.f64 R (-.f64 phi1 phi2)))
(-.f64 0 (.f64 (+.f64 R R) (.f64 (-.f64 phi1 phi2) 1/2)))
(-.f64 (.f64 R (-.f64 phi1 phi2)) (.f64 R (*.f64 (-.f64 phi2 phi1) -2)))
(-.f64 (.f64 (+.f64 R R) (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 2 (.f64 (+.f64 R R) (*.f64 (-.f64 phi1 phi2) 1/2))))
(/.f64 (*.f64 R (-.f64 phi2 phi1)) 1)
(/.f64 (.f64 R (.f64 (-.f64 phi2 phi1) 2)) 2)
(/.f64 (.f64 R (.f64 (-.f64 phi2 phi1) 4)) 4)
(/.f64 (.f64 R (.f64 (-.f64 phi2 phi1) 8)) 8)
(/.f64 (.f64 2 (.f64 R (*.f64 (-.f64 phi2 phi1) 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 R (.f64 (-.f64 phi2 phi1) 8)))) 32)
(/.f64 (*.f64 R (-.f64 phi1 phi2)) -1)
(/.f64 (.f64 (+.f64 R R) (.f64 (-.f64 phi1 phi2) 1/2)) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 R (*.f64 (-.f64 phi2 phi1) 8))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 R (.f64 (-.f64 phi2 phi1) 8)))))) 128)
(pow.f64 (*.f64 R (-.f64 phi2 phi1)) 1)
(neg.f64 (*.f64 R (-.f64 phi1 phi2)))
(neg.f64 (.f64 (+.f64 R R) (.f64 (-.f64 phi1 phi2) 1/2)))

Outputs
(.f64 -1 (.f64 phi1 R))
(neg.f64 (*.f64 phi1 R))
(*.f64 phi1 (neg.f64 R))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (neg.f64 (.f64 phi1 R)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (neg.f64 (.f64 phi1 R)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (neg.f64 (.f64 phi1 R)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (neg.f64 (.f64 phi1 R)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (neg.f64 (.f64 phi1 R)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (neg.f64 (.f64 phi1 R)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (neg.f64 (.f64 phi1 R)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (neg.f64 (.f64 phi1 R)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (neg.f64 (.f64 phi1 R)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(*.f64 R phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (neg.f64 (.f64 phi1 R)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (neg.f64 (.f64 phi1 R)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (neg.f64 (.f64 phi1 R)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(.f64 -1 (.f64 phi1 R))
(neg.f64 (*.f64 phi1 R))
(*.f64 phi1 (neg.f64 R))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (neg.f64 (.f64 phi1 R)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (neg.f64 (.f64 phi1 R)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (neg.f64 (.f64 phi1 R)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(.f64 -1 (.f64 phi1 R))
(neg.f64 (*.f64 phi1 R))
(*.f64 phi1 (neg.f64 R))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (neg.f64 (.f64 phi1 R)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (neg.f64 (.f64 phi1 R)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (neg.f64 (.f64 phi1 R)) (.f64 R phi2))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (*.f64 R (-.f64 phi2 phi1)) 0)
(*.f64 R (-.f64 phi2 phi1))
(+.f64 0 (*.f64 R (-.f64 phi2 phi1)))
(*.f64 R (-.f64 phi2 phi1))
(+.f64 -1 (-.f64 1 (*.f64 R (-.f64 phi1 phi2))))
(*.f64 R (-.f64 phi2 phi1))
(+.f64 -1 (-.f64 1 (.f64 (+.f64 R R) (.f64 (-.f64 phi1 phi2) 1/2))))
(*.f64 R (-.f64 phi2 phi1))
(+.f64 (.f64 R (.f64 (-.f64 phi2 phi1) 1/2)) (.f64 R (.f64 (-.f64 phi2 phi1) 1/2)))
(*.f64 R (-.f64 phi2 phi1))
(-.f64 (*.f64 R (-.f64 phi2 phi1)) 0)
(*.f64 R (-.f64 phi2 phi1))
(-.f64 0 (*.f64 R (-.f64 phi1 phi2)))
(*.f64 R (-.f64 phi2 phi1))
(-.f64 0 (.f64 (+.f64 R R) (.f64 (-.f64 phi1 phi2) 1/2)))
(*.f64 R (-.f64 phi2 phi1))
(-.f64 (.f64 R (-.f64 phi1 phi2)) (.f64 R (*.f64 (-.f64 phi2 phi1) -2)))
(*.f64 R (-.f64 phi2 phi1))
(-.f64 (.f64 (+.f64 R R) (.f64 (-.f64 phi1 phi2) 1/2)) (.f64 2 (.f64 (+.f64 R R) (*.f64 (-.f64 phi1 phi2) 1/2))))
(*.f64 R (-.f64 phi2 phi1))
(/.f64 (*.f64 R (-.f64 phi2 phi1)) 1)
(*.f64 R (-.f64 phi2 phi1))
(/.f64 (.f64 R (.f64 (-.f64 phi2 phi1) 2)) 2)
(*.f64 R (-.f64 phi2 phi1))
(/.f64 (.f64 R (.f64 (-.f64 phi2 phi1) 4)) 4)
(*.f64 R (-.f64 phi2 phi1))
(/.f64 (.f64 R (.f64 (-.f64 phi2 phi1) 8)) 8)
(*.f64 R (-.f64 phi2 phi1))
(/.f64 (.f64 2 (.f64 R (*.f64 (-.f64 phi2 phi1) 8))) 16)
(*.f64 R (-.f64 phi2 phi1))
(/.f64 (.f64 2 (.f64 2 (.f64 R (.f64 (-.f64 phi2 phi1) 8)))) 32)
(*.f64 R (-.f64 phi2 phi1))
(/.f64 (*.f64 R (-.f64 phi1 phi2)) -1)
(*.f64 R (-.f64 phi2 phi1))
(/.f64 (.f64 (+.f64 R R) (.f64 (-.f64 phi1 phi2) 1/2)) -1)
(*.f64 R (-.f64 phi2 phi1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 R (*.f64 (-.f64 phi2 phi1) 8))))) 64)
(*.f64 R (-.f64 phi2 phi1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 R (.f64 (-.f64 phi2 phi1) 8)))))) 128)
(*.f64 R (-.f64 phi2 phi1))
(pow.f64 (*.f64 R (-.f64 phi2 phi1)) 1)
(*.f64 R (-.f64 phi2 phi1))
(neg.f64 (*.f64 R (-.f64 phi1 phi2)))
(*.f64 R (-.f64 phi2 phi1))
(neg.f64 (.f64 (+.f64 R R) (.f64 (-.f64 phi1 phi2) 1/2)))
(*.f64 R (-.f64 phi2 phi1))

localize6.0ms (0%)

Compiler: Compiled 13 to 7 computations (46.2% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)))
✓	0.1b	(.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1))

Compiler

Compiled 38 to 21 computations (44.7% saved)

series9.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite151.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`exponential.json-3`
1244×	`rational.json-1`
1244×	`rational.json-2`
1244×	`rational.json-4`
1244×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	87	52
2	189	52
3	418	52
4	838	52
5	1987	52
6	4000	52
7	5678	52
8	6984	52
9	7641	52

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) 1/2)) (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 1/2))) (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) (+.f64 R R))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)) 1)))))

simplify241.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1888×	`rational.json-simplify-2`
1886×	`rational.json-simplify-35`
1656×	`rational.json-simplify-1`
1266×	`rational.json-simplify-53`
948×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	3976
1	309	3316
2	657	3298
3	1548	3118
4	3490	3118
5	4920	3118
6	5223	3118
7	5505	3118
8	5775	3118
9	6136	3118
10	7723	3118

Stop Event

1×	node limit

Counts

108 → 97

Calls

Call 1

Inputs
(-.f64 lambda2 lambda1)
(-.f64 (+.f64 lambda2 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (-.f64 lambda2 lambda1)))) lambda1)
(-.f64 (+.f64 lambda2 (+.f64 (.f64 1/384 (.f64 (pow.f64 phi1 4) (-.f64 lambda2 lambda1))) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (-.f64 lambda2 lambda1))))) lambda1)
(-.f64 (+.f64 lambda2 (+.f64 (.f64 -1/46080 (.f64 (pow.f64 phi1 6) (-.f64 lambda2 lambda1))) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi1 4) (-.f64 lambda2 lambda1))) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (-.f64 lambda2 lambda1)))))) lambda1)
(.f64 (cos.f64 (.f64 -1/2 phi1)) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (-.f64 lambda2 lambda1))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (-.f64 lambda2 lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2) (.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2) (.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2) (.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2) (.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2) (.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2) (.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2) (.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2) (.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2) (.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2)
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2) (.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2) (.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2) (.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1)))
(.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2) (.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2) (.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2) (.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1)))
(.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2) (.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2) (.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2) (.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 (.f64 R (-.f64 lambda2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R (-.f64 lambda2 lambda1)))))
(+.f64 (.f64 R (-.f64 lambda2 lambda1)) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi1 4) (.f64 R (-.f64 lambda2 lambda1)))) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (*.f64 R (-.f64 lambda2 lambda1))))))
(+.f64 (.f64 -1/46080 (.f64 (pow.f64 phi1 6) (.f64 R (-.f64 lambda2 lambda1)))) (+.f64 (.f64 R (-.f64 lambda2 lambda1)) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi1 4) (.f64 R (-.f64 lambda2 lambda1)))) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R (-.f64 lambda2 lambda1)))))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 R lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 R lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 R lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) 1/2)) (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) 1/2)))
(-.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 0)
(/.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 1)
(/.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) 2)) 2)
(/.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) 4)) 4)
(/.f64 (.f64 (.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 8)))) 64)
(pow.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 1)
(+.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)))
(+.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (.f64 R 1/2))) (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (.f64 R 1/2))))
(-.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)) 0)
(/.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)) 1)
(/.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) (+.f64 R R))) 2)
(/.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (.f64 R 4))) 4)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) R)) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) R)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)) 8)))) 64)
(pow.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)) 1)

Outputs
(-.f64 lambda2 lambda1)
(-.f64 (+.f64 lambda2 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (-.f64 lambda2 lambda1)))) lambda1)
(+.f64 (.f64 (pow.f64 phi1 2) (.f64 (-.f64 lambda2 lambda1) -1/8)) (-.f64 lambda2 lambda1))
(+.f64 lambda2 (-.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 (pow.f64 phi1 2) -1/8)) lambda1))
(+.f64 lambda2 (-.f64 (.f64 -1/8 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 2))) lambda1))
(+.f64 lambda2 (-.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 -1/8 (pow.f64 phi1 2))) lambda1))
(-.f64 (+.f64 lambda2 (+.f64 (.f64 1/384 (.f64 (pow.f64 phi1 4) (-.f64 lambda2 lambda1))) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (-.f64 lambda2 lambda1))))) lambda1)
(+.f64 (+.f64 (.f64 (pow.f64 phi1 2) (.f64 (-.f64 lambda2 lambda1) -1/8)) (.f64 (pow.f64 phi1 4) (.f64 (-.f64 lambda2 lambda1) 1/384))) (-.f64 lambda2 lambda1))
(+.f64 lambda2 (-.f64 (+.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 (pow.f64 phi1 2) -1/8)) (.f64 (-.f64 lambda2 lambda1) (.f64 (pow.f64 phi1 4) 1/384))) lambda1))
(+.f64 lambda2 (+.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 1/384 (pow.f64 phi1 4))) (-.f64 (.f64 -1/8 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 2))) lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (.f64 (-.f64 lambda2 lambda1) (+.f64 (.f64 1/384 (pow.f64 phi1 4)) (*.f64 -1/8 (pow.f64 phi1 2)))))
(+.f64 lambda2 (-.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (.f64 -1/8 (pow.f64 phi1 2)) (*.f64 1/384 (pow.f64 phi1 4)))) lambda1))
(-.f64 (+.f64 lambda2 (+.f64 (.f64 -1/46080 (.f64 (pow.f64 phi1 6) (-.f64 lambda2 lambda1))) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi1 4) (-.f64 lambda2 lambda1))) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (-.f64 lambda2 lambda1)))))) lambda1)
(+.f64 (+.f64 (.f64 (pow.f64 phi1 4) (.f64 (-.f64 lambda2 lambda1) 1/384)) (+.f64 (.f64 (pow.f64 phi1 2) (.f64 (-.f64 lambda2 lambda1) -1/8)) (.f64 (pow.f64 phi1 6) (.f64 (-.f64 lambda2 lambda1) -1/46080)))) (-.f64 lambda2 lambda1))
(+.f64 lambda2 (-.f64 (+.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 (pow.f64 phi1 2) -1/8)) (+.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 (pow.f64 phi1 6) -1/46080)) (.f64 (-.f64 lambda2 lambda1) (.f64 (pow.f64 phi1 4) 1/384)))) lambda1))
(+.f64 lambda2 (+.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 -1/46080 (pow.f64 phi1 6))) (+.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 1/384 (pow.f64 phi1 4))) (-.f64 (.f64 -1/8 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 2))) lambda1))))
(+.f64 lambda2 (+.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (.f64 -1/46080 (pow.f64 phi1 6)) (.f64 -1/8 (pow.f64 phi1 2)))) (-.f64 (.f64 (-.f64 lambda2 lambda1) (*.f64 1/384 (pow.f64 phi1 4))) lambda1)))
(+.f64 (.f64 -1/8 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 2))) (+.f64 lambda2 (-.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (.f64 -1/46080 (pow.f64 phi1 6)) (*.f64 1/384 (pow.f64 phi1 4)))) lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (-.f64 lambda2 lambda1))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 -1/2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (-.f64 lambda2 lambda1))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 -1/2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (-.f64 lambda2 lambda1))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 -1/2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (-.f64 lambda2 lambda1))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 -1/2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (-.f64 lambda2 lambda1))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 -1/2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (-.f64 lambda2 lambda1))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 -1/2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (-.f64 lambda2 lambda1))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 -1/2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (-.f64 lambda2 lambda1))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 -1/2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 1/2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1))
(.f64 -1 (.f64 lambda1 (cos.f64 (*.f64 phi1 -1/2))))
(neg.f64 (.f64 lambda1 (cos.f64 (.f64 phi1 -1/2))))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi1 1/2))))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi1 -1/2))))
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(.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
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(.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
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(.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2)
(.f64 lambda2 (cos.f64 (.f64 phi1 -1/2)))
(.f64 lambda2 (cos.f64 (.f64 phi1 1/2)))
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(.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
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(.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
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(.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2)
(.f64 lambda2 (cos.f64 (.f64 phi1 -1/2)))
(.f64 lambda2 (cos.f64 (.f64 phi1 1/2)))
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(.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
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(.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
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(.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2)
(.f64 lambda2 (cos.f64 (.f64 phi1 -1/2)))
(.f64 lambda2 (cos.f64 (.f64 phi1 1/2)))
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(.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
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(.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
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(.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1))
(.f64 -1 (.f64 lambda1 (cos.f64 (*.f64 phi1 -1/2))))
(neg.f64 (.f64 lambda1 (cos.f64 (.f64 phi1 -1/2))))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi1 1/2))))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi1 -1/2))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) lambda2) (.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1)))
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(.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
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(.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
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(.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 -1 (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda1))
(.f64 -1 (.f64 lambda1 (cos.f64 (*.f64 phi1 -1/2))))
(neg.f64 (.f64 lambda1 (cos.f64 (.f64 phi1 -1/2))))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi1 1/2))))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi1 -1/2))))
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(.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
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(.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))
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(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
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(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
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(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
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(.f64 (-.f64 lambda2 lambda1) (+.f64 R (.f64 -1/8 (*.f64 (pow.f64 phi1 2) R))))
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(.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 (.f64 lambda2 R) (neg.f64 (.f64 lambda1 R))))
(.f64 (.f64 R (cos.f64 (*.f64 phi1 1/2))) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 (.f64 (cos.f64 (*.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1))) R)
(+.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 0)
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 -1/2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 1/2)))
(+.f64 0 (.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 -1/2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 1/2)))
(+.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) 1/2)) (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) 1/2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 -1/2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 1/2)))
(-.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 0)
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 -1/2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 1/2)))
(/.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 1)
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 -1/2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 1/2)))
(/.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) 2)) 2)
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 -1/2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 1/2)))
(/.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) 4)) 4)
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 -1/2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 1/2)))
(/.f64 (.f64 (.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 8) 8)
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 -1/2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 1/2)))
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 8)) 16)
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 -1/2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 1/2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 8))) 32)
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 -1/2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 1/2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 8)))) 64)
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 -1/2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 1/2)))
(pow.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)) 1)
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 -1/2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 phi1 1/2)))
(+.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)) 0)
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(+.f64 0 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(+.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (.f64 R 1/2))) (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (.f64 R 1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(-.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)) 0)
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(/.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)) 1)
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(/.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) (+.f64 R R))) 2)
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(/.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (.f64 R 4))) 4)
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(/.f64 (.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) R)) 8) 8)
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)) 8)) 16)
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) R)) 8))) 32)
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)) 8)))) 64)
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(pow.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) R)) 1)
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))

localize23.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 R (-.f64 lambda2 lambda1))
✓	0.2b	(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1)))

Compiler

Compiled 35 to 17 computations (51.4% saved)

series3.0ms (0%)

Counts

2 → 72

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	R	@	inf	(*.f64 R (-.f64 lambda2 lambda1))
0.0ms	R	@	-inf	(*.f64 R (-.f64 lambda2 lambda1))
0.0ms	phi1	@	0	(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1)))
0.0ms	lambda2	@	-inf	(*.f64 R (-.f64 lambda2 lambda1))
0.0ms	lambda1	@	-inf	(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1)))

rewrite154.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`exponential.json-3`
1244×	`rational.json-1`
1244×	`rational.json-2`
1244×	`rational.json-4`
1244×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	87	42
2	189	42
3	418	42
4	838	42
5	1987	42
6	3990	42
7	5678	42
8	6982	42
9	7639	42

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 1/2))) (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) (+.f64 R R))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R (-.f64 lambda2 lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 R (-.f64 lambda2 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 1/2)) (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (-.f64 lambda2 lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (-.f64 lambda2 lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 lambda2 lambda1) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 R (-.f64 lambda2 lambda1)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 R (-.f64 lambda2 lambda1)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 R (-.f64 lambda2 lambda1)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 R (-.f64 lambda2 lambda1)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 R (-.f64 lambda2 lambda1)) 1)))))

simplify250.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2676×	`rational.json-simplify-2`
1906×	`rational.json-simplify-35`
1582×	`rational.json-simplify-1`
1056×	`rational.json-simplify-53`
930×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	3044
1	246	2456
2	565	2438
3	1324	2396
4	3189	2396
5	5407	2396
6	5758	2396
7	6077	2396
8	6338	2396
9	6697	2396
10	7878	2396

Stop Event

1×	node limit

Counts

96 → 69

Calls

Call 1

Inputs
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 (.f64 R (-.f64 lambda2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R (-.f64 lambda2 lambda1)))))
(+.f64 (.f64 R (-.f64 lambda2 lambda1)) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi1 4) (.f64 R (-.f64 lambda2 lambda1)))) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (*.f64 R (-.f64 lambda2 lambda1))))))
(+.f64 (.f64 -1/46080 (.f64 (pow.f64 phi1 6) (.f64 R (-.f64 lambda2 lambda1)))) (+.f64 (.f64 R (-.f64 lambda2 lambda1)) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi1 4) (.f64 R (-.f64 lambda2 lambda1)))) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R (-.f64 lambda2 lambda1)))))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 R lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 R lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 R lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(.f64 -1 (.f64 R lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(*.f64 lambda2 R)
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(*.f64 lambda2 R)
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(*.f64 lambda2 R)
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(.f64 -1 (.f64 R lambda1))
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(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(.f64 -1 (.f64 R lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1))) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (.f64 R 1/2))) (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (.f64 R 1/2))))
(-.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1))) 0)
(/.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1))) 1)
(/.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) (+.f64 R R))) 2)
(/.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (.f64 R 4))) 4)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 R (-.f64 lambda2 lambda1))) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 R (-.f64 lambda2 lambda1))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1))) 8)))) 64)
(pow.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1))) 1)
(+.f64 (*.f64 R (-.f64 lambda2 lambda1)) 0)
(+.f64 0 (*.f64 R (-.f64 lambda2 lambda1)))
(+.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R 1/2)) (.f64 (-.f64 lambda2 lambda1) (.f64 R 1/2)))
(-.f64 (*.f64 R (-.f64 lambda2 lambda1)) 0)
(/.f64 (*.f64 R (-.f64 lambda2 lambda1)) 1)
(/.f64 (*.f64 (-.f64 lambda2 lambda1) (+.f64 R R)) 2)
(/.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R 4)) 4)
(/.f64 (.f64 (.f64 R (-.f64 lambda2 lambda1)) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 R (-.f64 lambda2 lambda1)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 R (-.f64 lambda2 lambda1)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 R (-.f64 lambda2 lambda1)) 8)))) 64)
(pow.f64 (*.f64 R (-.f64 lambda2 lambda1)) 1)

Outputs
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 (.f64 R (-.f64 lambda2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R (-.f64 lambda2 lambda1)))))
(+.f64 (.f64 R (-.f64 lambda2 lambda1)) (.f64 -1/8 (.f64 R (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 2)))))
(+.f64 (.f64 R (-.f64 lambda2 lambda1)) (.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 2)) -1/8)))
(.f64 R (+.f64 (-.f64 lambda2 lambda1) (.f64 -1/8 (*.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 2)))))
(.f64 (-.f64 lambda2 lambda1) (+.f64 R (.f64 -1/8 (*.f64 R (pow.f64 phi1 2)))))
(+.f64 (.f64 R (-.f64 lambda2 lambda1)) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi1 4) (.f64 R (-.f64 lambda2 lambda1)))) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (*.f64 R (-.f64 lambda2 lambda1))))))
(+.f64 (.f64 1/384 (.f64 R (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 4)))) (+.f64 (.f64 R (-.f64 lambda2 lambda1)) (.f64 -1/8 (.f64 R (*.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 2))))))
(+.f64 (.f64 R (-.f64 lambda2 lambda1)) (+.f64 (.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 2)) -1/8)) (.f64 (.f64 R (-.f64 lambda2 lambda1)) (*.f64 (pow.f64 phi1 4) 1/384))))
(+.f64 (.f64 R (+.f64 (-.f64 lambda2 lambda1) (.f64 -1/8 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 2))))) (.f64 (-.f64 lambda2 lambda1) (.f64 (.f64 R (pow.f64 phi1 4)) 1/384)))
(+.f64 (.f64 R (-.f64 lambda2 lambda1)) (.f64 (.f64 R (-.f64 lambda2 lambda1)) (+.f64 (.f64 1/384 (pow.f64 phi1 4)) (*.f64 -1/8 (pow.f64 phi1 2)))))
(+.f64 (.f64 -1/46080 (.f64 (pow.f64 phi1 6) (.f64 R (-.f64 lambda2 lambda1)))) (+.f64 (.f64 R (-.f64 lambda2 lambda1)) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi1 4) (.f64 R (-.f64 lambda2 lambda1)))) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R (-.f64 lambda2 lambda1)))))))
(+.f64 (+.f64 (.f64 1/384 (.f64 R (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 4)))) (+.f64 (.f64 R (-.f64 lambda2 lambda1)) (.f64 -1/8 (.f64 R (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 2)))))) (.f64 -1/46080 (.f64 (.f64 R (-.f64 lambda2 lambda1)) (pow.f64 phi1 6))))
(+.f64 (.f64 R (-.f64 lambda2 lambda1)) (+.f64 (+.f64 (.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 2)) -1/8)) (.f64 (.f64 R (-.f64 lambda2 lambda1)) (.f64 (pow.f64 phi1 4) 1/384))) (.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 6)) -1/46080))))
(+.f64 (.f64 R (.f64 -1/8 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 2)))) (+.f64 (.f64 R (+.f64 (-.f64 lambda2 lambda1) (.f64 1/384 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 4))))) (.f64 R (.f64 -1/46080 (*.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 6))))))
(+.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 R (.f64 -1/8 (.f64 R (pow.f64 phi1 2))))) (.f64 (.f64 R (-.f64 lambda2 lambda1)) (+.f64 (.f64 1/384 (pow.f64 phi1 4)) (*.f64 -1/46080 (pow.f64 phi1 6)))))
(+.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 R (.f64 -1/8 (.f64 R (pow.f64 phi1 2))))) (.f64 (.f64 R (-.f64 lambda2 lambda1)) (+.f64 (.f64 -1/46080 (pow.f64 phi1 6)) (*.f64 1/384 (pow.f64 phi1 4)))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (.f64 R (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 phi1 -1/2)))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
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(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (.f64 R (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 phi1 -1/2)))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (.f64 R (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 phi1 -1/2)))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
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(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (.f64 R (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 phi1 -1/2)))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
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(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
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(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
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(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (.f64 R (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 phi1 -1/2)))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (.f64 R (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 phi1 -1/2)))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (.f64 R (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 phi1 -1/2)))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
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(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (.f64 R (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 phi1 -1/2)))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
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(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
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(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (.f64 R (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 phi1 -1/2)))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
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(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
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(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (.f64 R (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 phi1 -1/2)))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 (.f64 R lambda1) (cos.f64 (.f64 phi1 -1/2))))
(.f64 R (.f64 (neg.f64 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (neg.f64 lambda1)))
(.f64 lambda1 (neg.f64 (.f64 R (cos.f64 (*.f64 phi1 -1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi1 -1/2)))))
(+.f64 (.f64 (cos.f64 (.f64 -1/2 phi1)) (.f64 lambda2 R)) (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 R lambda1))))
(+.f64 (.f64 -1 (.f64 (.f64 R lambda1) (cos.f64 (.f64 phi1 -1/2)))) (.f64 (.f64 R lambda2) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 R (.f64 (+.f64 lambda2 (neg.f64 lambda1)) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
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(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 R (.f64 (+.f64 lambda2 (neg.f64 lambda1)) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
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(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 R (.f64 (+.f64 lambda2 (neg.f64 lambda1)) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 R lambda2) (cos.f64 (*.f64 phi1 -1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) lambda2))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 phi1 -1/2))))
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(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (+.f64 lambda2 (neg.f64 lambda1))))
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(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 R lambda2) (cos.f64 (*.f64 phi1 -1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) lambda2))
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(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
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(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
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(.f64 (.f64 R lambda2) (cos.f64 (*.f64 phi1 -1/2)))
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(/.f64 (.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 R (-.f64 lambda2 lambda1))) 8) 8)
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(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 R (-.f64 lambda2 lambda1))) 8))) 32)
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(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1))) 8)))) 64)
(.f64 (.f64 R (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 phi1 -1/2)))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(pow.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1))) 1)
(.f64 (.f64 R (-.f64 lambda2 lambda1)) (cos.f64 (*.f64 phi1 -1/2)))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2))))
(+.f64 (*.f64 R (-.f64 lambda2 lambda1)) 0)
(*.f64 R (-.f64 lambda2 lambda1))
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(*.f64 R (-.f64 lambda2 lambda1))
(-.f64 (*.f64 R (-.f64 lambda2 lambda1)) 0)
(*.f64 R (-.f64 lambda2 lambda1))
(/.f64 (*.f64 R (-.f64 lambda2 lambda1)) 1)
(*.f64 R (-.f64 lambda2 lambda1))
(/.f64 (*.f64 (-.f64 lambda2 lambda1) (+.f64 R R)) 2)
(*.f64 R (-.f64 lambda2 lambda1))
(/.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R 4)) 4)
(*.f64 R (-.f64 lambda2 lambda1))
(/.f64 (.f64 (.f64 R (-.f64 lambda2 lambda1)) 8) 8)
(*.f64 R (-.f64 lambda2 lambda1))
(/.f64 (.f64 2 (.f64 (*.f64 R (-.f64 lambda2 lambda1)) 8)) 16)
(*.f64 R (-.f64 lambda2 lambda1))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 R (-.f64 lambda2 lambda1)) 8))) 32)
(*.f64 R (-.f64 lambda2 lambda1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 R (-.f64 lambda2 lambda1)) 8)))) 64)
(*.f64 R (-.f64 lambda2 lambda1))
(pow.f64 (*.f64 R (-.f64 lambda2 lambda1)) 1)
(*.f64 R (-.f64 lambda2 lambda1))

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 R (-.f64 lambda2 lambda1))
✓	0.2b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
✓	3.2b	(.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) phi2))
✓	7.6b	(.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) phi2)) (*.f64 R -1/2))

Compiler

Compiled 98 to 47 computations (52% saved)

series34.0ms (0.2%)

Counts

3 → 140

Calls

39 calls:

Time	Variable		Point	Expression
10.0ms	R	@	inf	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
3.0ms	phi1	@	inf	(.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) phi2)) (*.f64 R -1/2))
3.0ms	R	@	0	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))
1.0ms	phi2	@	0	(.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) phi2)) (*.f64 R -1/2))
1.0ms	R	@	0	(.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) phi2)) (*.f64 R -1/2))

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1612×	`exponential.json-3`
1612×	`rational.json-1`
1612×	`rational.json-2`
1612×	`rational.json-4`
1612×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	99
1	141	99
2	323	99
3	788	99
4	1708	99
5	3712	99
6	6651	99

Stop Event

1×	node limit

Counts

3 → 33

Calls

Call 1

Inputs

(*.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) phi2)) (*.f64 R -1/2))

(*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) phi2))

(*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 R (-.f64 lambda2 lambda1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 lambda2 lambda1) phi2) (*.f64 R (sin.f64 (*.f64 phi1 -1/2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (*.f64 (*.f64 (-.f64 lambda2 lambda1) phi2) (*.f64 R (sin.f64 (*.f64 phi1 -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 (-.f64 lambda2 lambda1) phi2) (*.f64 R (sin.f64 (*.f64 phi1 -1/2)))) 4) (/.f64 (*.f64 (*.f64 (-.f64 lambda2 lambda1) phi2) (*.f64 R (sin.f64 (*.f64 phi1 -1/2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 lambda2 lambda1) phi2) (*.f64 R (sin.f64 (*.f64 phi1 -1/2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 lambda2 lambda1) phi2) (*.f64 R (sin.f64 (*.f64 phi1 -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 lambda2 lambda1) phi2) (*.f64 R (sin.f64 (*.f64 phi1 -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 lambda2 lambda1) phi2) (*.f64 R (sin.f64 (*.f64 phi1 -1/2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 lambda2 lambda1) phi2) (*.f64 R (sin.f64 (*.f64 phi1 -1/2)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 lambda2 lambda1) phi2) (*.f64 R (sin.f64 (*.f64 phi1 -1/2))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 lambda2 lambda1) phi2) (*.f64 R (sin.f64 (*.f64 phi1 -1/2))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 lambda2 lambda1) phi2) (*.f64 R (sin.f64 (*.f64 phi1 -1/2)))))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 lambda2 lambda1) phi2) (*.f64 R (sin.f64 (*.f64 phi1 -1/2))))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) phi2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) phi2)) 2) (/.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) phi2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) phi2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) phi2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) (+.f64 phi2 phi2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) (*.f64 phi2 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) (*.f64 phi2 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) (*.f64 phi2 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) (*.f64 phi2 4))))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) (*.f64 phi2 4)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) phi2)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 lambda2 lambda1) (*.f64 R (cos.f64 (*.f64 phi1 -1/2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 lambda2 lambda1) (*.f64 R (cos.f64 (*.f64 phi1 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 lambda2 lambda1) (*.f64 R (cos.f64 (*.f64 phi1 -1/2)))) 2) (/.f64 (*.f64 (-.f64 lambda2 lambda1) (*.f64 R (cos.f64 (*.f64 phi1 -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 lambda2 lambda1) (*.f64 R (cos.f64 (*.f64 phi1 -1/2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 lambda2 lambda1) (*.f64 R (cos.f64 (*.f64 phi1 -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (*.f64 (-.f64 lambda2 lambda1) (*.f64 (cos.f64 (*.f64 phi1 -1/2)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 4))))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 4)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 lambda2 lambda1) (*.f64 R (cos.f64 (*.f64 phi1 -1/2)))) 1)))))

simplify187.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1926×	`rational.json-simplify-35`
1414×	`rational.json-simplify-53`
1114×	`rational.json-simplify-43`
1058×	`rational.json-simplify-51`
888×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	7981
1	477	7897
2	1113	7555
3	2675	6757
4	4263	6757
5	5694	6757
6	6729	6757

Stop Event

1×	node limit

Counts

173 → 149

Calls

Call 1

Inputs
(.f64 -1/4 (.f64 phi1 (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2))))
(+.f64 (.f64 1/96 (.f64 (pow.f64 phi1 3) (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)))) (.f64 -1/4 (.f64 phi1 (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)))))
(+.f64 (.f64 1/96 (.f64 (pow.f64 phi1 3) (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)))) (+.f64 (.f64 -1/7680 (.f64 (pow.f64 phi1 5) (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)))) (.f64 -1/4 (.f64 phi1 (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2))))))
(+.f64 (.f64 1/96 (.f64 (pow.f64 phi1 3) (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)))) (+.f64 (.f64 -1/7680 (.f64 (pow.f64 phi1 5) (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)))) (+.f64 (.f64 1/1290240 (.f64 (pow.f64 phi1 7) (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)))) (.f64 -1/4 (.f64 phi1 (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)))))))
(.f64 -1/2 (.f64 R (.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(+.f64 (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 1/2 (.f64 phi1 (*.f64 phi2 (-.f64 lambda2 lambda1))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 phi1 3) (.f64 phi2 (-.f64 lambda2 lambda1)))) (.f64 1/2 (.f64 phi1 (.f64 phi2 (-.f64 lambda2 lambda1)))))
(+.f64 (.f64 1/3840 (.f64 (pow.f64 phi1 5) (.f64 phi2 (-.f64 lambda2 lambda1)))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 phi1 3) (.f64 phi2 (-.f64 lambda2 lambda1)))) (.f64 1/2 (.f64 phi1 (*.f64 phi2 (-.f64 lambda2 lambda1))))))
(+.f64 (.f64 -1/645120 (.f64 (pow.f64 phi1 7) (.f64 phi2 (-.f64 lambda2 lambda1)))) (+.f64 (.f64 1/3840 (.f64 (pow.f64 phi1 5) (.f64 phi2 (-.f64 lambda2 lambda1)))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 phi1 3) (.f64 phi2 (-.f64 lambda2 lambda1)))) (.f64 1/2 (.f64 phi1 (.f64 phi2 (-.f64 lambda2 lambda1)))))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 1/2 phi1))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 1/2 phi1))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 1/2 phi1))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 (.f64 R (-.f64 lambda2 lambda1)) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R (-.f64 lambda2 lambda1)))))
(+.f64 (.f64 R (-.f64 lambda2 lambda1)) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi1 4) (.f64 R (-.f64 lambda2 lambda1)))) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (*.f64 R (-.f64 lambda2 lambda1))))))
(+.f64 (.f64 -1/46080 (.f64 (pow.f64 phi1 6) (.f64 R (-.f64 lambda2 lambda1)))) (+.f64 (.f64 R (-.f64 lambda2 lambda1)) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi1 4) (.f64 R (-.f64 lambda2 lambda1)))) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R (-.f64 lambda2 lambda1)))))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) (-.f64 lambda2 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1)))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1)))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (*.f64 phi1 -1/2))))) 0)
(+.f64 0 (.f64 1/2 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (*.f64 phi1 -1/2))))))
(+.f64 (/.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (.f64 phi1 -1/2)))) 4) (/.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (.f64 phi1 -1/2)))) 4))
(-.f64 (.f64 1/2 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (*.f64 phi1 -1/2))))) 0)
(/.f64 (.f64 1/2 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (*.f64 phi1 -1/2))))) 1)
(/.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (.f64 phi1 -1/2)))) 2)
(/.f64 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (*.f64 phi1 -1/2))))) 4)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (.f64 phi1 -1/2)))))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (*.f64 phi1 -1/2))))))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (.f64 phi1 -1/2))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (.f64 phi1 -1/2)))))))) 32)
(pow.f64 (.f64 1/2 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (*.f64 phi1 -1/2))))) 1)
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) phi2)) 0)
(+.f64 0 (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) phi2)))
(+.f64 (/.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) phi2)) 2) (/.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) phi2)) 2))
(-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) phi2)) 0)
(/.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) phi2)) 1)
(/.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) (+.f64 phi2 phi2))) 2)
(/.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 4))) 4)
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) (*.f64 phi2 4)))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 4))))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 4))))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 4)))))) 32)
(pow.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) phi2)) 1)
(+.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2)))) 0)
(+.f64 0 (.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2)))))
(+.f64 (/.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (.f64 phi1 -1/2)))) 2) (/.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (.f64 phi1 -1/2)))) 2))
(-.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2)))) 0)
(/.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2)))) 1)
(/.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 (cos.f64 (.f64 phi1 -1/2)) 2))) 2)
(/.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (.f64 R 4))) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (*.f64 R 4)))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (.f64 R 4))))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (.f64 R 4))))) (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (.f64 R 4)))))) 32)
(pow.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2)))) 1)

Outputs
(.f64 -1/4 (.f64 phi1 (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2))))
(.f64 -1/4 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 R))))
(.f64 -1/4 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (.f64 R phi2))))
(.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (.f64 (.f64 R phi2) -1/4)))
(.f64 -1/4 (.f64 (.f64 phi1 (-.f64 lambda2 lambda1)) (.f64 R phi2)))
(+.f64 (.f64 1/96 (.f64 (pow.f64 phi1 3) (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)))) (.f64 -1/4 (.f64 phi1 (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)))))
(+.f64 (.f64 -1/4 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 R)))) (.f64 1/96 (.f64 R (.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 3))))))
(+.f64 (.f64 -1/4 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (.f64 R phi2)))) (.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R phi2)) (.f64 (pow.f64 phi1 3) 1/96)))
(+.f64 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (.f64 (.f64 R phi2) -1/4))) (.f64 R (.f64 1/96 (.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 3))))))
(.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)) (+.f64 (.f64 1/96 (pow.f64 phi1 3)) (*.f64 -1/4 phi1)))
(+.f64 (.f64 1/96 (.f64 (pow.f64 phi1 3) (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)))) (+.f64 (.f64 -1/7680 (.f64 (pow.f64 phi1 5) (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)))) (.f64 -1/4 (.f64 phi1 (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2))))))
(+.f64 (.f64 1/96 (.f64 R (.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 3))))) (+.f64 (.f64 -1/4 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 R)))) (.f64 -1/7680 (.f64 R (.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 5)))))))
(+.f64 (.f64 -1/4 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (.f64 R phi2)))) (+.f64 (.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 (pow.f64 phi1 5) phi2)) -1/7680)) (.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R phi2)) (.f64 (pow.f64 phi1 3) 1/96))))
(+.f64 (.f64 R (.f64 1/96 (.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 3))))) (+.f64 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (.f64 (.f64 R phi2) -1/4))) (.f64 R (.f64 -1/7680 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (pow.f64 phi1 5)))))))
(+.f64 (.f64 R (.f64 1/96 (.f64 (pow.f64 phi1 3) (.f64 (-.f64 lambda2 lambda1) phi2)))) (.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)) (+.f64 (.f64 -1/7680 (pow.f64 phi1 5)) (*.f64 -1/4 phi1))))
(+.f64 (.f64 1/96 (.f64 (pow.f64 phi1 3) (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)))) (+.f64 (.f64 -1/7680 (.f64 (pow.f64 phi1 5) (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)))) (+.f64 (.f64 1/1290240 (.f64 (pow.f64 phi1 7) (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)))) (.f64 -1/4 (.f64 phi1 (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)))))))
(+.f64 (.f64 1/96 (.f64 R (.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 3))))) (+.f64 (.f64 -1/7680 (.f64 R (.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 5))))) (+.f64 (.f64 -1/4 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 R)))) (.f64 1/1290240 (.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 R)) (pow.f64 phi1 7))))))
(+.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R phi2)) (.f64 (pow.f64 phi1 3) 1/96)) (+.f64 (.f64 -1/4 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (.f64 R phi2)))) (+.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R phi2)) (.f64 (pow.f64 phi1 7) 1/1290240)) (.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 (pow.f64 phi1 5) phi2)) -1/7680)))))
(+.f64 (.f64 R (.f64 1/96 (.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 3))))) (+.f64 (+.f64 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (.f64 (.f64 R phi2) -1/4))) (.f64 R (.f64 -1/7680 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (pow.f64 phi1 5)))))) (.f64 (-.f64 lambda2 lambda1) (.f64 (.f64 (pow.f64 phi1 7) (.f64 R phi2)) 1/1290240))))
(+.f64 (.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)) (+.f64 (.f64 1/96 (pow.f64 phi1 3)) (.f64 -1/4 phi1))) (.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)) (+.f64 (.f64 1/1290240 (pow.f64 phi1 7)) (.f64 -1/7680 (pow.f64 phi1 5)))))
(+.f64 (.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)) (+.f64 (.f64 1/96 (pow.f64 phi1 3)) (.f64 -1/4 phi1))) (.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) phi2)) (+.f64 (.f64 -1/7680 (pow.f64 phi1 5)) (.f64 1/1290240 (pow.f64 phi1 7)))))
(.f64 -1/2 (.f64 R (.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 1/2 phi1))))))
(.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))) -1/2))
(.f64 R (.f64 -1/2 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 -1/2 (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 R (-.f64 lambda2 lambda1)))))
(.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 R phi2)) (*.f64 (-.f64 lambda2 lambda1) -1/2))
(.f64 -1/2 (.f64 R (.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 1/2 phi1))))))
(.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))) -1/2))
(.f64 R (.f64 -1/2 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 -1/2 (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 R (-.f64 lambda2 lambda1)))))
(.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 R phi2)) (*.f64 (-.f64 lambda2 lambda1) -1/2))
(.f64 -1/2 (.f64 R (.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 1/2 phi1))))))
(.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))) -1/2))
(.f64 R (.f64 -1/2 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 -1/2 (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 R (-.f64 lambda2 lambda1)))))
(.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 R phi2)) (*.f64 (-.f64 lambda2 lambda1) -1/2))
(.f64 -1/2 (.f64 R (.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 1/2 phi1))))))
(.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))) -1/2))
(.f64 R (.f64 -1/2 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 -1/2 (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 R (-.f64 lambda2 lambda1)))))
(.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 R phi2)) (*.f64 (-.f64 lambda2 lambda1) -1/2))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))) -1/2))
(.f64 R (.f64 -1/2 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 -1/2 (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 R (-.f64 lambda2 lambda1)))))
(.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 R phi2)) (*.f64 (-.f64 lambda2 lambda1) -1/2))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))) -1/2))
(.f64 R (.f64 -1/2 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 -1/2 (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 R (-.f64 lambda2 lambda1)))))
(.f64 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 R phi2)) (*.f64 (-.f64 lambda2 lambda1) -1/2))
(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))) -1/2))
(.f64 R (.f64 -1/2 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))
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(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
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(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))) -1/2))
(.f64 R (.f64 -1/2 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))
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(.f64 -1/2 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))) -1/2))
(.f64 R (.f64 -1/2 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))
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(.f64 1/2 (.f64 phi1 (*.f64 phi2 (-.f64 lambda2 lambda1))))
(.f64 phi1 (.f64 (*.f64 (-.f64 lambda2 lambda1) phi2) 1/2))
(.f64 1/2 (.f64 (-.f64 lambda2 lambda1) (*.f64 phi1 phi2)))
(.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (*.f64 phi2 1/2)))
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(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (+.f64 (.f64 phi1 1/2) (.f64 (pow.f64 phi1 3) -1/48)))
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(+.f64 (.f64 (pow.f64 phi1 3) (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) -1/48)) (+.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 lambda2 lambda1) (.f64 phi1 phi2))) (.f64 phi2 (.f64 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 5)) 1/3840))) (.f64 phi2 (.f64 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi1 7)) -1/645120))))
(+.f64 (+.f64 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 1/2))) (.f64 (pow.f64 phi1 3) (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 -1/48)))) (+.f64 (.f64 (pow.f64 phi1 5) (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 1/3840))) (.f64 (-.f64 lambda2 lambda1) (.f64 (.f64 phi2 (pow.f64 phi1 7)) -1/645120))))
(+.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (+.f64 (.f64 (pow.f64 phi1 5) 1/3840) (.f64 (pow.f64 phi1 3) -1/48))) (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (+.f64 (.f64 (pow.f64 phi1 7) -1/645120) (.f64 phi1 1/2))))
(+.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (+.f64 (.f64 (pow.f64 phi1 5) 1/3840) (.f64 (pow.f64 phi1 3) -1/48))) (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (+.f64 (.f64 phi1 1/2) (.f64 (pow.f64 phi1 7) -1/645120))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 phi2 (.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))) -1))
(.f64 phi2 (neg.f64 (.f64 lambda1 (sin.f64 (*.f64 phi1 1/2)))))
(.f64 (sin.f64 (.f64 phi1 1/2)) (neg.f64 (*.f64 lambda1 phi2)))
(.f64 (.f64 lambda1 phi2) (sin.f64 (*.f64 phi1 -1/2)))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 phi2 (.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))) -1)) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))))
(+.f64 (.f64 phi2 (neg.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))
(.f64 phi2 (+.f64 (.f64 lambda2 (sin.f64 (.f64 phi1 1/2))) (neg.f64 (.f64 lambda1 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 (sin.f64 (*.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 phi2 (.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))) -1)) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))))
(+.f64 (.f64 phi2 (neg.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))
(.f64 phi2 (+.f64 (.f64 lambda2 (sin.f64 (.f64 phi1 1/2))) (neg.f64 (.f64 lambda1 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 (sin.f64 (*.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 phi2 (.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))) -1)) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))))
(+.f64 (.f64 phi2 (neg.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))
(.f64 phi2 (+.f64 (.f64 lambda2 (sin.f64 (.f64 phi1 1/2))) (neg.f64 (.f64 lambda1 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 (sin.f64 (*.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 phi2 (.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))) -1)) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))))
(+.f64 (.f64 phi2 (neg.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))
(.f64 phi2 (+.f64 (.f64 lambda2 (sin.f64 (.f64 phi1 1/2))) (neg.f64 (.f64 lambda1 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 (sin.f64 (*.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 phi2 (.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))) -1)) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))))
(+.f64 (.f64 phi2 (neg.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))
(.f64 phi2 (+.f64 (.f64 lambda2 (sin.f64 (.f64 phi1 1/2))) (neg.f64 (.f64 lambda1 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 (sin.f64 (*.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 phi2 (.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))) -1)) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))))
(+.f64 (.f64 phi2 (neg.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))
(.f64 phi2 (+.f64 (.f64 lambda2 (sin.f64 (.f64 phi1 1/2))) (neg.f64 (.f64 lambda1 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 (sin.f64 (*.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 phi2 (.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))) -1)) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))))
(+.f64 (.f64 phi2 (neg.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))
(.f64 phi2 (+.f64 (.f64 lambda2 (sin.f64 (.f64 phi1 1/2))) (neg.f64 (.f64 lambda1 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 (sin.f64 (*.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 phi2 (.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))) -1)) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))))
(+.f64 (.f64 phi2 (neg.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))
(.f64 phi2 (+.f64 (.f64 lambda2 (sin.f64 (.f64 phi1 1/2))) (neg.f64 (.f64 lambda1 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 (sin.f64 (*.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 phi2 (.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))) -1)) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))))
(+.f64 (.f64 phi2 (neg.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))
(.f64 phi2 (+.f64 (.f64 lambda2 (sin.f64 (.f64 phi1 1/2))) (neg.f64 (.f64 lambda1 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 (sin.f64 (*.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 phi2 (.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))) -1)) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))))
(+.f64 (.f64 phi2 (neg.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))
(.f64 phi2 (+.f64 (.f64 lambda2 (sin.f64 (.f64 phi1 1/2))) (neg.f64 (.f64 lambda1 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 (sin.f64 (*.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 phi2 (.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))) -1)) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))))
(+.f64 (.f64 phi2 (neg.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))
(.f64 phi2 (+.f64 (.f64 lambda2 (sin.f64 (.f64 phi1 1/2))) (neg.f64 (.f64 lambda1 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 (sin.f64 (*.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 phi2 (.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))) -1)) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))))
(+.f64 (.f64 phi2 (neg.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))
(.f64 phi2 (+.f64 (.f64 lambda2 (sin.f64 (.f64 phi1 1/2))) (neg.f64 (.f64 lambda1 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 (sin.f64 (*.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 phi2 (.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))) -1))
(.f64 phi2 (neg.f64 (.f64 lambda1 (sin.f64 (*.f64 phi1 1/2)))))
(.f64 (sin.f64 (.f64 phi1 1/2)) (neg.f64 (*.f64 lambda1 phi2)))
(.f64 (.f64 lambda1 phi2) (sin.f64 (*.f64 phi1 -1/2)))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 phi2 (.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))) -1)) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))))
(+.f64 (.f64 phi2 (neg.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))
(.f64 phi2 (+.f64 (.f64 lambda2 (sin.f64 (.f64 phi1 1/2))) (neg.f64 (.f64 lambda1 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 (sin.f64 (*.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 phi2 (.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))) -1)) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))))
(+.f64 (.f64 phi2 (neg.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))
(.f64 phi2 (+.f64 (.f64 lambda2 (sin.f64 (.f64 phi1 1/2))) (neg.f64 (.f64 lambda1 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 (sin.f64 (*.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 phi2 (.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))) -1)) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))))
(+.f64 (.f64 phi2 (neg.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))
(.f64 phi2 (+.f64 (.f64 lambda2 (sin.f64 (.f64 phi1 1/2))) (neg.f64 (.f64 lambda1 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 (sin.f64 (*.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 phi2 (.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))) -1))
(.f64 phi2 (neg.f64 (.f64 lambda1 (sin.f64 (*.f64 phi1 1/2)))))
(.f64 (sin.f64 (.f64 phi1 1/2)) (neg.f64 (*.f64 lambda1 phi2)))
(.f64 (.f64 lambda1 phi2) (sin.f64 (*.f64 phi1 -1/2)))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 phi2 (.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))) -1)) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))))
(+.f64 (.f64 phi2 (neg.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))
(.f64 phi2 (+.f64 (.f64 lambda2 (sin.f64 (.f64 phi1 1/2))) (neg.f64 (.f64 lambda1 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 (sin.f64 (*.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 phi2 (.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))) -1)) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))))
(+.f64 (.f64 phi2 (neg.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))
(.f64 phi2 (+.f64 (.f64 lambda2 (sin.f64 (.f64 phi1 1/2))) (neg.f64 (.f64 lambda1 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 (sin.f64 (*.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(+.f64 (.f64 -1 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 phi2 (.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))) -1)) (.f64 lambda2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))))
(+.f64 (.f64 phi2 (neg.f64 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))
(.f64 phi2 (+.f64 (.f64 lambda2 (sin.f64 (.f64 phi1 1/2))) (neg.f64 (.f64 lambda1 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 phi2 (.f64 (sin.f64 (*.f64 phi1 1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
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(.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 phi1 1/2))) (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1)))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 lambda1 R))) (.f64 R (.f64 (cos.f64 (*.f64 phi1 1/2)) lambda2)))
(+.f64 (neg.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 R lambda1))) (.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 lambda2 R)))
(.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 phi1 1/2))) (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
(+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (*.f64 phi1 -1/2))))) 0)
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 (.f64 R (sin.f64 (*.f64 phi1 -1/2))) 1/2))
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 1/2 (.f64 R (sin.f64 (*.f64 phi1 -1/2)))))
(.f64 R (.f64 (sin.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (/.f64 phi2 2))))
(+.f64 0 (.f64 1/2 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (*.f64 phi1 -1/2))))))
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 (.f64 R (sin.f64 (*.f64 phi1 -1/2))) 1/2))
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 1/2 (.f64 R (sin.f64 (*.f64 phi1 -1/2)))))
(.f64 R (.f64 (sin.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (/.f64 phi2 2))))
(+.f64 (/.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (.f64 phi1 -1/2)))) 4) (/.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (.f64 phi1 -1/2)))) 4))
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 (.f64 R (sin.f64 (*.f64 phi1 -1/2))) 1/2))
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 1/2 (.f64 R (sin.f64 (*.f64 phi1 -1/2)))))
(.f64 R (.f64 (sin.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (/.f64 phi2 2))))
(-.f64 (.f64 1/2 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (*.f64 phi1 -1/2))))) 0)
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 (.f64 R (sin.f64 (*.f64 phi1 -1/2))) 1/2))
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 1/2 (.f64 R (sin.f64 (*.f64 phi1 -1/2)))))
(.f64 R (.f64 (sin.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (/.f64 phi2 2))))
(/.f64 (.f64 1/2 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (*.f64 phi1 -1/2))))) 1)
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 (.f64 R (sin.f64 (*.f64 phi1 -1/2))) 1/2))
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 1/2 (.f64 R (sin.f64 (*.f64 phi1 -1/2)))))
(.f64 R (.f64 (sin.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (/.f64 phi2 2))))
(/.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (.f64 phi1 -1/2)))) 2)
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 (.f64 R (sin.f64 (*.f64 phi1 -1/2))) 1/2))
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 1/2 (.f64 R (sin.f64 (*.f64 phi1 -1/2)))))
(.f64 R (.f64 (sin.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (/.f64 phi2 2))))
(/.f64 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (*.f64 phi1 -1/2))))) 4)
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 (.f64 R (sin.f64 (*.f64 phi1 -1/2))) 1/2))
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 1/2 (.f64 R (sin.f64 (*.f64 phi1 -1/2)))))
(.f64 R (.f64 (sin.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (/.f64 phi2 2))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (.f64 phi1 -1/2)))))) 8)
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 (.f64 R (sin.f64 (*.f64 phi1 -1/2))) 1/2))
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 1/2 (.f64 R (sin.f64 (*.f64 phi1 -1/2)))))
(.f64 R (.f64 (sin.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (/.f64 phi2 2))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (*.f64 phi1 -1/2))))))) 16)
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 (.f64 R (sin.f64 (*.f64 phi1 -1/2))) 1/2))
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 1/2 (.f64 R (sin.f64 (*.f64 phi1 -1/2)))))
(.f64 R (.f64 (sin.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (/.f64 phi2 2))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (.f64 phi1 -1/2))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (.f64 phi1 -1/2)))))))) 32)
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 (.f64 R (sin.f64 (*.f64 phi1 -1/2))) 1/2))
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 1/2 (.f64 R (sin.f64 (*.f64 phi1 -1/2)))))
(.f64 R (.f64 (sin.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (/.f64 phi2 2))))
(pow.f64 (.f64 1/2 (.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 R (sin.f64 (*.f64 phi1 -1/2))))) 1)
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 (.f64 R (sin.f64 (*.f64 phi1 -1/2))) 1/2))
(.f64 (.f64 (-.f64 lambda2 lambda1) phi2) (.f64 1/2 (.f64 R (sin.f64 (*.f64 phi1 -1/2)))))
(.f64 R (.f64 (sin.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (/.f64 phi2 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) phi2)) 0)
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(+.f64 0 (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) phi2)))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(+.f64 (/.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) phi2)) 2) (/.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) phi2)) 2))
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) phi2)) 0)
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) phi2)) 1)
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) (+.f64 phi2 phi2))) 2)
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(/.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 4))) 4)
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(/.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) (*.f64 phi2 4)))) 8)
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 4))))) 16)
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 4))))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) (.f64 phi2 4)))))) 32)
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(pow.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 (-.f64 lambda2 lambda1) phi2)) 1)
(.f64 (-.f64 lambda2 lambda1) (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))
(.f64 phi2 (.f64 (-.f64 lambda2 lambda1) (sin.f64 (*.f64 phi1 1/2))))
(+.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2)))) 0)
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(+.f64 0 (.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2)))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(+.f64 (/.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (.f64 phi1 -1/2)))) 2) (/.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (.f64 phi1 -1/2)))) 2))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(-.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2)))) 0)
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(/.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2)))) 1)
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(/.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (.f64 (cos.f64 (.f64 phi1 -1/2)) 2))) 2)
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(/.f64 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (.f64 R 4))) 4)
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (*.f64 R 4)))) 8)
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (.f64 R 4))))) 16)
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (.f64 R 4))))) (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 (-.f64 lambda2 lambda1) (.f64 R 4)))))) 32)
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))
(pow.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R (cos.f64 (*.f64 phi1 -1/2)))) 1)
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 1/2))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 phi1 -1/2))))

eval119.0ms (0.5%)

Compiler: Compiled 8600 to 4542 computations (47.2% saved)

prune88.0ms (0.4%)

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	362	6	368
Fresh	1	15	16
Picked	1	0	1
Done	1	4	5
Total	365	25	390

Error

4.1b

Counts

390 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	46.1b	(+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (-.f64 lambda2 lambda1))) (.f64 -1/2 R)) (.f64 R (.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 (-.f64 lambda2 lambda1) (.f64 -1/8 (.f64 (pow.f64 phi2 2) (-.f64 lambda2 lambda1)))))))
	44.5b	(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (-.f64 lambda2 lambda1))) (.f64 (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))) (.f64 R -1/2)))
▶	45.0b	(*.f64 (-.f64 lambda2 lambda1) R)
▶	51.2b	(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2)))
	54.9b	(.f64 (.f64 lambda1 (cos.f64 (*.f64 phi1 -1/2))) (neg.f64 R))
	54.9b	(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 lambda1 (neg.f64 R)))
	44.4b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda2 lambda1)))
	60.8b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R lambda1))
✓	44.1b	(*.f64 phi1 (neg.f64 R))
▶	50.2b	(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
	60.8b	(.f64 lambda1 (.f64 (cos.f64 (*.f64 phi2 -1/2)) R))
	60.4b	(.f64 lambda1 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
✓	26.8b	(*.f64 R (-.f64 phi2 phi1))
▶	45.8b	(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 (*.f64 phi1 (-.f64 lambda2 lambda1))))))
	46.1b	(.f64 R (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (-.f64 lambda2 lambda1)))) (.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 (-.f64 lambda2 lambda1) (.f64 -1/8 (*.f64 (pow.f64 phi2 2) (-.f64 lambda2 lambda1)))))))
	45.2b	(.f64 R (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))))))
	44.4b	(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2))))
	45.4b	(.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 -1/2))) (+.f64 lambda2 (neg.f64 lambda1))))
✓	44.0b	(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)))
	51.2b	(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) lambda2))
	61.5b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
	59.2b	(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
	41.9b	(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
▶	41.3b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
✓	45.0b	(*.f64 R phi2)

Compiler

Compiled 878 to 625 computations (28.8% saved)

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2)))
✓	0.1b	(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))
✓	0.2b	(pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)
✓	36.9b	(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Compiler

Compiled 132 to 60 computations (54.5% saved)

series14.0ms (0.1%)

Counts

4 → 116

Calls

33 calls:

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

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1626×	`rational.json-1`
1626×	`rational.json-2`
1626×	`rational.json-4`
1626×	`rational.json-3`
1620×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	156
1	125	156
2	253	156
3	597	156
4	1815	156
5	5474	156

Stop Event

1×	node limit

Counts

4 → 51

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4)) (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (pow.f64 (/.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4)) (.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4))) 16)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 2 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4))) (.f64 2 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (/.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (/.f64 (+.f64 (/.f64 1 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (/.f64 1 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 2 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4)))) (.f64 2 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) 1)))))

simplify192.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1198×	`rational.json-simplify-51`
1052×	`rational.json-simplify-2`
718×	`rational.json-simplify-41`
700×	`rational.json-simplify-49`
694×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	381	12155
1	980	11157
2	2246	10023
3	5121	9437
4	7534	9437

Stop Event

1×	node limit

Counts

167 → 320

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))))))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (+.f64 (.f64 1/2 (.f64 (.f64 lambda2 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 3)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) 3))))) (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))))))
(.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) 2)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) 2)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) (.f64 1/2 (/.f64 (.f64 lambda2 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) 2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2)))))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2)) lambda2) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2)))))))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) 2)) (pow.f64 lambda2 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) 2)) (.f64 (pow.f64 lambda2 3) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) 2)) (pow.f64 lambda2 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))))))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) 2)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) 2)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) 2)) lambda1) (.f64 (pow.f64 lambda2 2) (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))))
(.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2)) lambda1) (.f64 (pow.f64 lambda2 2) (cos.f64 (.f64 1/2 phi2))))) (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))))
(sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -1 (.f64 (*.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (pow.f64 phi2 2) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -1 (.f64 (*.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))
(+.f64 (.f64 1/2 (.f64 (.f64 phi1 (.f64 (pow.f64 phi2 3) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (pow.f64 phi2 2) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
phi2
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (*.f64 -1 phi1) phi2))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (.f64 -1 phi1) (+.f64 phi2 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) phi1) (pow.f64 phi2 2))))))
(*.f64 -1 phi2)
(+.f64 phi1 (*.f64 -1 phi2))
(+.f64 phi1 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)) (.f64 -1 phi2)))
(+.f64 phi1 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)) (+.f64 (.f64 -1 phi2) (.f64 -1/2 (/.f64 (.f64 phi1 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi2 2))))))
(sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 3) (.f64 phi2 (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) 3))))) (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))))
phi1
(+.f64 (*.f64 -1 phi2) phi1)
(+.f64 (.f64 -1 phi2) (+.f64 phi1 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (*.f64 -1 phi2) 2)) phi1))))
(+.f64 (.f64 -1 phi2) (+.f64 phi1 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) phi2) (pow.f64 phi1 2))) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) phi1)))))
(*.f64 -1 phi1)
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 (.f64 -1 phi1) (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))))
(+.f64 (.f64 -1 phi1) (+.f64 (.f64 -1/2 (/.f64 (.f64 phi2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2))) (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 phi2 2)))
(+.f64 1 (+.f64 (.f64 1/48 (pow.f64 phi2 4)) (.f64 -1/4 (pow.f64 phi2 2))))
(+.f64 1 (+.f64 (.f64 1/48 (pow.f64 phi2 4)) (+.f64 (.f64 -1/4 (pow.f64 phi2 2)) (*.f64 -1/1440 (pow.f64 phi2 6)))))
(-.f64 lambda1 lambda2)
(-.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2))) lambda1) lambda2)
(-.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi2 4) (-.f64 lambda1 lambda2))) lambda1)) lambda2)
(-.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi2 4) (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/1440 (.f64 (pow.f64 phi2 6) (-.f64 lambda1 lambda2))) lambda1))) lambda2)
(.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
(.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(pow.f64 (-.f64 lambda1 lambda2) 2)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (-.f64 lambda1 lambda2) 2))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/48 (.f64 (pow.f64 phi2 4) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 -1/1440 (.f64 (pow.f64 phi2 6) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 1/48 (.f64 (pow.f64 phi2 4) (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(+.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(-.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)
(.f64 1/2 (.f64 2 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))))
(.f64 2 (/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 2))
(.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)
(.f64 1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 (.f64 2 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) 1/2)
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 2) 2)
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)
(/.f64 (.f64 2 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4)) (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4))) 16)
(pow.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)
(+.f64 (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2) 0)
(+.f64 0 (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2))
(-.f64 (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2) 0)
(.f64 1/2 (.f64 2 (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2)))
(.f64 2 (/.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 2))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 1)
(.f64 1 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))
(.f64 (.f64 2 (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2)) 1/2)
(.f64 4 (pow.f64 (/.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 2))
(.f64 (/.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 2) 2)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 phi2 -1/2)) 2) 2) 1/4)
(/.f64 (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2) 1)
(/.f64 (.f64 2 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)) 2)
(/.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4)) (.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4))) 16)
(+.f64 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)) 0)
(+.f64 0 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)))
(-.f64 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)) 0)
(/.f64 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)) 1)
(/.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 2 (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2))) 2)
(/.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2) 4)) 4)
(/.f64 (.f64 2 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4))) (.f64 2 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4)))) 16)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)) 1)
(+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2))) 0)
(+.f64 0 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2))))
(-.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2))) 0)
(/.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (/.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))))
(/.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (/.f64 (+.f64 (/.f64 1 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (/.f64 1 (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) 2))
(/.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2))) 1)
(/.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 2 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)))) 2)
(/.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4))) 4)
(/.f64 (.f64 2 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2) 4)))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4)))) (.f64 2 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4))))) 16)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2))) 1)

Outputs
(sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))
(sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))
(sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 -1 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 lambda1 lambda2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 lambda2 lambda1)) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (neg.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 lambda2 lambda1)))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (neg.f64 (.f64 lambda2 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))))))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) 2))) (pow.f64 lambda1 2)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) 1/2)) (.f64 -1 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 lambda1 lambda2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 1/2 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 lambda2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (pow.f64 lambda1 2)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 lambda2 lambda1)) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (neg.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (.f64 lambda2 lambda1)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))) 2)) (pow.f64 lambda1 2))))))
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(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2)) lambda1) (.f64 (pow.f64 lambda2 2) (cos.f64 (.f64 1/2 phi2))))) (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) (.f64 -1/2 (.f64 lambda1 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2))) (.f64 (pow.f64 lambda2 2) (cos.f64 (.f64 1/2 phi2)))))))))
(+.f64 (.f64 lambda1 (.f64 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) 0) (.f64 (pow.f64 lambda2 2) (cos.f64 (.f64 1/2 phi2)))) -1/2)) (+.f64 (neg.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) 0) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda1 (neg.f64 lambda2))) (.f64 -1/2 (+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 phi1 phi2) 2) lambda2) (cos.f64 (.f64 1/2 phi2))) (.f64 (pow.f64 (-.f64 phi1 phi2) 2) (/.f64 (/.f64 lambda1 (pow.f64 lambda2 2)) (cos.f64 (.f64 1/2 phi2)))))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (neg.f64 lambda2))) (.f64 -1/2 (+.f64 (/.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 lambda2 (cos.f64 (.f64 phi2 -1/2)))) (.f64 lambda1 (/.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (cos.f64 (.f64 phi2 -1/2))))))))
(sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -1 (.f64 (*.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (.f64 phi2 phi1) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) -1)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (.f64 phi2 phi1) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (pow.f64 phi2 2) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -1 (.f64 (*.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (.f64 phi2 phi1) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) -1))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (-.f64 1 (.f64 1 (pow.f64 (*.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 2))))) 1/2)))
(+.f64 (.f64 (.f64 phi2 phi1) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) (+.f64 (.f64 1/2 (.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (pow.f64 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 2))) (*.f64 (pow.f64 phi2 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 phi2 2) (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (pow.f64 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 2))))) (neg.f64 (.f64 phi2 phi1)))))
(+.f64 (.f64 1/2 (.f64 (.f64 phi1 (.f64 (pow.f64 phi2 3) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (pow.f64 phi2 2) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (-.f64 1 (.f64 1 (pow.f64 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 2))))) 1/2)) (+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (.f64 phi2 phi1) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) -1))) (.f64 (.f64 (pow.f64 phi2 3) (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (-.f64 1 (.f64 1 (pow.f64 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 2)))) phi1)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3))) 1/2))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (.f64 phi2 phi1) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (.f64 (.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (pow.f64 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 2))) (.f64 (pow.f64 phi2 3) phi1)) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3))))) (.f64 1/2 (.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (pow.f64 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 2))) (*.f64 (pow.f64 phi2 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (pow.f64 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 2))) (.f64 phi1 (pow.f64 phi2 3))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 phi2 2) (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (pow.f64 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 2))))) (neg.f64 (.f64 phi2 phi1))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (.f64 (.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (pow.f64 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 2))) (.f64 phi1 (pow.f64 phi2 3))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 phi2 2) (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (pow.f64 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 2))))) (neg.f64 (.f64 phi2 phi1))))))
phi2
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 phi2 (*.f64 phi1 -1))
(+.f64 phi2 (neg.f64 phi1))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (*.f64 -1 phi1) phi2))
(+.f64 (.f64 phi1 -1) (+.f64 phi2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (-.f64 (pow.f64 phi1 2) (*.f64 1 (pow.f64 phi1 2)))) phi2))))
(+.f64 phi2 (+.f64 (neg.f64 phi1) (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (pow.f64 phi1 2))) phi2))))
(+.f64 (+.f64 phi2 (neg.f64 phi1)) (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 0) phi2)))
(+.f64 phi2 (+.f64 (neg.f64 phi1) (.f64 1/2 (/.f64 (pow.f64 (.f64 (cos.f64 (*.f64 phi2 -1/2)) (-.f64 lambda1 lambda2)) 2) phi2))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (.f64 -1 phi1) (+.f64 phi2 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) phi1) (pow.f64 phi2 2))))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (-.f64 (pow.f64 phi1 2) (.f64 1 (pow.f64 phi1 2)))) phi2)) (+.f64 phi2 (+.f64 (.f64 1/2 (.f64 phi1 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (-.f64 (pow.f64 phi1 2) (.f64 1 (pow.f64 phi1 2)))) (pow.f64 phi2 2)))) (.f64 phi1 -1))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (pow.f64 phi1 2))) phi2)) (+.f64 phi2 (+.f64 (neg.f64 phi1) (.f64 1/2 (.f64 phi1 (/.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (pow.f64 phi1 2))) (pow.f64 phi2 2)))))))
(+.f64 phi2 (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 0) phi2)) (.f64 phi1 (+.f64 -1 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 0) (pow.f64 phi2 2)))))))
(+.f64 (neg.f64 phi1) (+.f64 phi2 (.f64 1/2 (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi2) (/.f64 (.f64 phi1 (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi2 2)))))))
(*.f64 -1 phi2)
(*.f64 phi2 -1)
(neg.f64 phi2)
(+.f64 phi1 (*.f64 -1 phi2))
(+.f64 phi1 (*.f64 phi2 -1))
(+.f64 phi1 (neg.f64 phi2))
(+.f64 phi1 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)) (.f64 -1 phi2)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) phi2)) (+.f64 phi1 (.f64 phi2 -1)))
(+.f64 (neg.f64 phi2) (+.f64 phi1 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) phi2))))
(+.f64 phi1 (+.f64 (neg.f64 phi2) (.f64 -1/2 (/.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) phi2))))
(+.f64 (+.f64 phi1 (neg.f64 phi2)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 (cos.f64 (*.f64 phi2 -1/2)) (-.f64 lambda1 lambda2)) 2) phi2)))
(+.f64 phi1 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)) (+.f64 (.f64 -1 phi2) (.f64 -1/2 (/.f64 (.f64 phi1 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi2 2))))))
(+.f64 phi1 (+.f64 (.f64 phi2 -1) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (/.f64 phi1 (pow.f64 phi2 2)))) (.f64 -1/2 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) phi2)))))
(+.f64 phi1 (+.f64 (neg.f64 phi2) (.f64 -1/2 (+.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) phi2) (.f64 phi1 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (pow.f64 phi2 2)))))))
(+.f64 phi1 (+.f64 (neg.f64 phi2) (.f64 -1/2 (+.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) phi2) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (/.f64 phi1 (pow.f64 phi2 2)))))))
(+.f64 phi1 (+.f64 (neg.f64 phi2) (.f64 -1/2 (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi2) (/.f64 (.f64 phi1 (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi2 2)))))))
(sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))
(sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (-.f64 lambda1 lambda2)) 2)))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))) (.f64 -1 (.f64 (.f64 phi2 phi1) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))) (.f64 (.f64 phi2 phi1) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))) (neg.f64 (.f64 phi2 phi1))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (-.f64 lambda1 lambda2)) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (-.f64 lambda1 lambda2)) 2)))) (neg.f64 (.f64 phi2 phi1))))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))) (+.f64 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))) (.f64 phi2 -1)) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))) 1/2)) (.f64 -1 (.f64 (.f64 phi2 phi1) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))))))))
(+.f64 (.f64 1/2 (.f64 (-.f64 1 (pow.f64 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))))) 2)) (.f64 (pow.f64 phi1 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))) (.f64 (.f64 phi2 phi1) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))) (neg.f64 (.f64 phi2 phi1))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))) (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))))) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (-.f64 lambda1 lambda2)) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (-.f64 lambda1 lambda2)) 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (-.f64 lambda1 lambda2)) 2))))) 2)))) (neg.f64 (*.f64 phi2 phi1)))))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 3) (.f64 phi2 (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) 3))))) (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))) (+.f64 (+.f64 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))) (.f64 phi2 -1)) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))) 1/2)) (.f64 (.f64 phi2 (.f64 (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))) (.f64 phi2 -1)) 2)) (pow.f64 phi1 3))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)) 3))) 1/2))) (.f64 -1 (.f64 (.f64 phi2 phi1) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))))))))
(+.f64 (.f64 1/2 (+.f64 (.f64 phi2 (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))))) 2)) (pow.f64 phi1 3)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)) 3))))) (.f64 (-.f64 1 (pow.f64 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))))) 2)) (.f64 (pow.f64 phi1 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))) (.f64 (.f64 phi2 phi1) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))) (neg.f64 (.f64 phi2 phi1))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))) (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))) (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))))) 2)))) (.f64 (pow.f64 phi1 3) (.f64 (.f64 phi2 (-.f64 1 (pow.f64 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))))) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)) 3)))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (-.f64 lambda1 lambda2)) 2))) (+.f64 (.f64 (.f64 phi2 (.f64 (-.f64 1 (pow.f64 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (-.f64 lambda1 lambda2)) 2))))) 2)) (pow.f64 phi1 3))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (-.f64 lambda1 lambda2)) 2)) 3))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (-.f64 lambda1 lambda2)) 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (-.f64 lambda1 lambda2)) 2))))) 2)))) (neg.f64 (.f64 phi2 phi1))))))
phi1
(+.f64 (*.f64 -1 phi2) phi1)
(+.f64 phi1 (*.f64 phi2 -1))
(+.f64 phi1 (neg.f64 phi2))
(+.f64 (.f64 -1 phi2) (+.f64 phi1 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (*.f64 -1 phi2) 2)) phi1))))
(+.f64 phi1 (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (-.f64 (pow.f64 phi2 2) (.f64 1 (pow.f64 phi2 2)))) phi1)) (*.f64 phi2 -1)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (pow.f64 phi2 2))) phi1)) (+.f64 phi1 (neg.f64 phi2)))
(+.f64 (neg.f64 phi2) (+.f64 phi1 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 0) phi1))))
(+.f64 (+.f64 phi1 (neg.f64 phi2)) (.f64 1/2 (/.f64 (pow.f64 (.f64 (cos.f64 (*.f64 phi2 -1/2)) (-.f64 lambda1 lambda2)) 2) phi1)))
(+.f64 (.f64 -1 phi2) (+.f64 phi1 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) phi2) (pow.f64 phi1 2))) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) phi1)))))
(+.f64 phi1 (+.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (-.f64 (pow.f64 phi2 2) (.f64 1 (pow.f64 phi2 2)))) phi1)) (.f64 1/2 (.f64 phi2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (-.f64 (pow.f64 phi2 2) (.f64 1 (pow.f64 phi2 2)))) (pow.f64 phi1 2))))) (.f64 phi2 -1)))
(+.f64 phi1 (+.f64 (neg.f64 phi2) (.f64 1/2 (+.f64 (.f64 phi2 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (pow.f64 phi2 2))) (pow.f64 phi1 2))) (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (pow.f64 phi2 2))) phi1)))))
(+.f64 phi1 (+.f64 (neg.f64 phi2) (.f64 1/2 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 0) phi1) (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 0) (/.f64 phi2 (pow.f64 phi1 2)))))))
(+.f64 (+.f64 phi1 (neg.f64 phi2)) (.f64 1/2 (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1) (/.f64 (.f64 phi2 (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2))))))
(*.f64 -1 phi1)
(*.f64 phi1 -1)
(neg.f64 phi1)
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 phi2 (*.f64 phi1 -1))
(+.f64 phi2 (neg.f64 phi1))
(+.f64 (.f64 -1 phi1) (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))))
(+.f64 phi2 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) phi1)) (.f64 phi1 -1)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) phi1)) (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (neg.f64 phi1) (+.f64 phi2 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) phi1))))
(+.f64 (+.f64 phi2 (neg.f64 phi1)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 (cos.f64 (*.f64 phi2 -1/2)) (-.f64 lambda1 lambda2)) 2) phi1)))
(+.f64 (.f64 -1 phi1) (+.f64 (.f64 -1/2 (/.f64 (.f64 phi2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2))) (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)))))
(+.f64 (.f64 phi1 -1) (+.f64 phi2 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) phi1)) (.f64 -1/2 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (/.f64 phi2 (pow.f64 phi1 2)))))))
(+.f64 phi2 (+.f64 (.f64 -1/2 (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (/.f64 phi2 (pow.f64 phi1 2))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) phi1))) (neg.f64 phi1)))
(+.f64 (neg.f64 phi1) (+.f64 phi2 (.f64 -1/2 (+.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) phi1) (.f64 phi2 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (pow.f64 phi1 2)))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1) (/.f64 (.f64 phi2 (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2))))) (+.f64 phi2 (neg.f64 phi1)))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 phi2 2)))
(+.f64 1 (*.f64 (pow.f64 phi2 2) -1/4))
(+.f64 1 (+.f64 (.f64 1/48 (pow.f64 phi2 4)) (.f64 -1/4 (pow.f64 phi2 2))))
(+.f64 1 (+.f64 (.f64 (pow.f64 phi2 2) -1/4) (.f64 1/48 (pow.f64 phi2 4))))
(+.f64 (.f64 (pow.f64 phi2 2) -1/4) (-.f64 (.f64 1/48 (pow.f64 phi2 4)) -1))
(+.f64 1 (+.f64 (.f64 1/48 (pow.f64 phi2 4)) (+.f64 (.f64 -1/4 (pow.f64 phi2 2)) (*.f64 -1/1440 (pow.f64 phi2 6)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 phi2 2) -1/4) (+.f64 (.f64 -1/1440 (pow.f64 phi2 6)) (*.f64 1/48 (pow.f64 phi2 4)))))
(+.f64 (+.f64 (.f64 (pow.f64 phi2 2) -1/4) (.f64 -1/1440 (pow.f64 phi2 6))) (+.f64 (*.f64 1/48 (pow.f64 phi2 4)) 1))
(+.f64 1 (+.f64 (.f64 (pow.f64 phi2 2) -1/4) (+.f64 (.f64 1/48 (pow.f64 phi2 4)) (*.f64 -1/1440 (pow.f64 phi2 6)))))
(+.f64 (.f64 (pow.f64 phi2 2) -1/4) (+.f64 1 (+.f64 (.f64 1/48 (pow.f64 phi2 4)) (*.f64 -1/1440 (pow.f64 phi2 6)))))
(-.f64 lambda1 lambda2)
(-.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2))) lambda1) lambda2)
(+.f64 lambda1 (-.f64 (.f64 (pow.f64 phi2 2) (.f64 (-.f64 lambda1 lambda2) -1/4)) lambda2))
(+.f64 lambda1 (-.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 phi2 2) -1/4)) lambda2))
(.f64 (-.f64 lambda1 lambda2) (+.f64 1 (.f64 (pow.f64 phi2 2) -1/4)))
(-.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi2 4) (-.f64 lambda1 lambda2))) lambda1)) lambda2)
(+.f64 (+.f64 lambda1 (.f64 1/48 (.f64 (-.f64 lambda1 lambda2) (pow.f64 phi2 4)))) (-.f64 (.f64 (pow.f64 phi2 2) (.f64 (-.f64 lambda1 lambda2) -1/4)) lambda2))
(+.f64 (+.f64 lambda1 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 phi2 2) -1/4))) (-.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 1/48 (pow.f64 phi2 4))) lambda2))
(+.f64 lambda1 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 1/48 (pow.f64 phi2 4))) (-.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 phi2 2) -1/4)) lambda2)))
(+.f64 lambda1 (-.f64 (.f64 (-.f64 lambda1 lambda2) (+.f64 (.f64 (pow.f64 phi2 2) -1/4) (*.f64 1/48 (pow.f64 phi2 4)))) lambda2))
(-.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi2 4) (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/1440 (.f64 (pow.f64 phi2 6) (-.f64 lambda1 lambda2))) lambda1))) lambda2)
(+.f64 (+.f64 (.f64 1/48 (.f64 (-.f64 lambda1 lambda2) (pow.f64 phi2 4))) (+.f64 lambda1 (.f64 -1/1440 (.f64 (-.f64 lambda1 lambda2) (pow.f64 phi2 6))))) (-.f64 (.f64 (pow.f64 phi2 2) (.f64 (-.f64 lambda1 lambda2) -1/4)) lambda2))
(+.f64 (+.f64 lambda1 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 1/48 (pow.f64 phi2 4))) (.f64 (-.f64 lambda1 lambda2) (.f64 -1/1440 (pow.f64 phi2 6))))) (-.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 phi2 2) -1/4)) lambda2))
(+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 1/48 (pow.f64 phi2 4))) (-.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 phi2 2) -1/4)) (+.f64 lambda1 (.f64 (-.f64 lambda1 lambda2) (.f64 -1/1440 (pow.f64 phi2 6))))) lambda2))
(+.f64 (.f64 (-.f64 lambda1 lambda2) (+.f64 (.f64 1/48 (pow.f64 phi2 4)) (.f64 -1/1440 (pow.f64 phi2 6)))) (.f64 (-.f64 lambda1 lambda2) (+.f64 1 (*.f64 (pow.f64 phi2 2) -1/4))))
(.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1))
(.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))
(.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
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(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)
(.f64 lambda1 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))
(+.f64 (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) lambda1))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)
(.f64 lambda1 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)
(.f64 lambda1 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1))
(.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))
(.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) -1))
(.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))
(.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)))
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(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1) (.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2)
(pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 -1/2))) 2)
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 (pow.f64 lambda2 2) (.f64 -2 (.f64 lambda2 lambda1))))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 (pow.f64 lambda2 2) (.f64 -2 (.f64 lambda2 lambda1))))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2)) (.f64 -2 (.f64 lambda2 lambda1))))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2)) (.f64 -2 (.f64 lambda2 lambda1))))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2)) (.f64 -2 (.f64 lambda2 lambda1))))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2))
(pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2)
(pow.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) lambda1) 2)
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))))
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(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(-.f64 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)) 0)
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(/.f64 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)) 1)
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(/.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 2 (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2))) 2)
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(/.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2) 4)) 4)
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(/.f64 (.f64 2 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4))) 8)
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4))) (.f64 2 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4)))) 16)
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)) 1)
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2))) 0)
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(+.f64 0 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2))))
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(-.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2))) 0)
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(/.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (/.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))))
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(/.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (/.f64 (+.f64 (/.f64 1 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (/.f64 1 (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) 2))
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(/.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2))) 1)
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(/.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 2 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)))) 2)
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(/.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4))) 4)
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(/.f64 (.f64 2 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2) 4)))) 8)
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4)))) (.f64 2 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) 4))))) 16)
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2))) 1)
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))
(.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 lambda2 lambda1) R)

Compiler

Compiled 16 to 7 computations (56.3% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite103.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`rational.json-1`
1388×	`rational.json-2`
1388×	`rational.json-3`
1384×	`exponential.json-3`
1384×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	45	13
2	103	13
3	223	13
4	410	13
5	943	13
6	2572	13
7	5004	13
8	6579	13

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(*.f64 (-.f64 lambda2 lambda1) R)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 lambda2 lambda1) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 lambda2 lambda1) R))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (+.f64 R R) (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 R (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 1/2)) (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 lambda2 lambda1) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (+.f64 R R) (*.f64 (-.f64 lambda1 lambda2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 R (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 R R) (*.f64 (-.f64 lambda1 lambda2) 1/2)) (*.f64 2 (*.f64 (+.f64 R R) (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (-.f64 lambda1 lambda2)) (*.f64 (-.f64 lambda2 lambda1) (*.f64 R -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 lambda2 lambda1) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 lambda2 lambda1) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 R R) (*.f64 (-.f64 lambda1 lambda2) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (-.f64 lambda1 lambda2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 lambda2 lambda1) (*.f64 R 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 R R) (*.f64 (-.f64 lambda1 lambda2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 R (-.f64 lambda1 lambda2)))))))

simplify186.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2384×	`rational.json-simplify-2`
1654×	`rational.json-simplify-35`
1108×	`rational.json-simplify-43`
946×	`rational.json-simplify-52`
850×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	989
1	169	839
2	338	833
3	751	833
4	2546	833
5	4309	833
6	4981	833
7	5308	833
8	5551	833
9	5836	833
10	6984	833

Stop Event

1×	node limit

Counts

59 → 34

Calls

Call 1

Inputs
(.f64 -1 (.f64 R lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(*.f64 lambda2 R)
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(*.f64 lambda2 R)
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(*.f64 lambda2 R)
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(.f64 -1 (.f64 R lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(.f64 -1 (.f64 R lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 (*.f64 (-.f64 lambda2 lambda1) R) 0)
(+.f64 0 (*.f64 (-.f64 lambda2 lambda1) R))
(+.f64 -1 (-.f64 1 (.f64 (+.f64 R R) (.f64 (-.f64 lambda1 lambda2) 1/2))))
(+.f64 -1 (-.f64 1 (*.f64 R (-.f64 lambda1 lambda2))))
(+.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R 1/2)) (.f64 (-.f64 lambda2 lambda1) (.f64 R 1/2)))
(-.f64 (*.f64 (-.f64 lambda2 lambda1) R) 0)
(-.f64 0 (.f64 (+.f64 R R) (.f64 (-.f64 lambda1 lambda2) 1/2)))
(-.f64 0 (*.f64 R (-.f64 lambda1 lambda2)))
(-.f64 (.f64 (+.f64 R R) (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 2 (.f64 (+.f64 R R) (*.f64 (-.f64 lambda1 lambda2) 1/2))))
(-.f64 (.f64 R (-.f64 lambda1 lambda2)) (.f64 (-.f64 lambda2 lambda1) (*.f64 R -2)))
(/.f64 (*.f64 (-.f64 lambda2 lambda1) R) 1)
(/.f64 (*.f64 (-.f64 lambda2 lambda1) (+.f64 R R)) 2)
(/.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R 4)) 4)
(/.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R 8)) 8)
(/.f64 (.f64 2 (.f64 (-.f64 lambda2 lambda1) (*.f64 R 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 lambda2 lambda1) (.f64 R 8)))) 32)
(/.f64 (.f64 (+.f64 R R) (.f64 (-.f64 lambda1 lambda2) 1/2)) -1)
(/.f64 (*.f64 R (-.f64 lambda1 lambda2)) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 lambda2 lambda1) (*.f64 R 8))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 lambda2 lambda1) (.f64 R 8)))))) 128)
(pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 1)
(neg.f64 (.f64 (+.f64 R R) (.f64 (-.f64 lambda1 lambda2) 1/2)))
(neg.f64 (*.f64 R (-.f64 lambda1 lambda2)))

Outputs
(.f64 -1 (.f64 R lambda1))
(*.f64 R (neg.f64 lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 -1 (.f64 R lambda1)) (*.f64 R lambda2))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 -1 (.f64 R lambda1)) (*.f64 R lambda2))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 -1 (.f64 R lambda1)) (*.f64 R lambda2))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(*.f64 lambda2 R)
(*.f64 R lambda2)
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 -1 (.f64 R lambda1)) (*.f64 R lambda2))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 -1 (.f64 R lambda1)) (*.f64 R lambda2))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 -1 (.f64 R lambda1)) (*.f64 R lambda2))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(*.f64 lambda2 R)
(*.f64 R lambda2)
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 -1 (.f64 R lambda1)) (*.f64 R lambda2))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 -1 (.f64 R lambda1)) (*.f64 R lambda2))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 -1 (.f64 R lambda1)) (*.f64 R lambda2))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(*.f64 lambda2 R)
(*.f64 R lambda2)
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 -1 (.f64 R lambda1)) (*.f64 R lambda2))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 -1 (.f64 R lambda1)) (*.f64 R lambda2))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 -1 (.f64 R lambda1)) (*.f64 R lambda2))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 -1 (.f64 R lambda1))
(*.f64 R (neg.f64 lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 -1 (.f64 R lambda1)) (*.f64 R lambda2))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 -1 (.f64 R lambda1)) (*.f64 R lambda2))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 -1 (.f64 R lambda1)) (*.f64 R lambda2))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 -1 (.f64 R lambda1))
(*.f64 R (neg.f64 lambda1))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 -1 (.f64 R lambda1)) (*.f64 R lambda2))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 -1 (.f64 R lambda1)) (*.f64 R lambda2))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 -1 (.f64 R lambda1)) (*.f64 R lambda2))
(*.f64 R (+.f64 lambda2 (neg.f64 lambda1)))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 (*.f64 (-.f64 lambda2 lambda1) R) 0)
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 0 (*.f64 (-.f64 lambda2 lambda1) R))
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 -1 (-.f64 1 (.f64 (+.f64 R R) (.f64 (-.f64 lambda1 lambda2) 1/2))))
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 -1 (-.f64 1 (*.f64 R (-.f64 lambda1 lambda2))))
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R 1/2)) (.f64 (-.f64 lambda2 lambda1) (.f64 R 1/2)))
(*.f64 R (-.f64 lambda2 lambda1))
(-.f64 (*.f64 (-.f64 lambda2 lambda1) R) 0)
(*.f64 R (-.f64 lambda2 lambda1))
(-.f64 0 (.f64 (+.f64 R R) (.f64 (-.f64 lambda1 lambda2) 1/2)))
(*.f64 R (-.f64 lambda2 lambda1))
(-.f64 0 (*.f64 R (-.f64 lambda1 lambda2)))
(*.f64 R (-.f64 lambda2 lambda1))
(-.f64 (.f64 (+.f64 R R) (.f64 (-.f64 lambda1 lambda2) 1/2)) (.f64 2 (.f64 (+.f64 R R) (*.f64 (-.f64 lambda1 lambda2) 1/2))))
(*.f64 R (-.f64 lambda2 lambda1))
(-.f64 (.f64 R (-.f64 lambda1 lambda2)) (.f64 (-.f64 lambda2 lambda1) (*.f64 R -2)))
(-.f64 (.f64 R (-.f64 lambda1 lambda2)) (.f64 R (*.f64 -2 (-.f64 lambda2 lambda1))))
(-.f64 (.f64 R (-.f64 lambda1 lambda2)) (.f64 R (*.f64 (-.f64 lambda2 lambda1) -2)))
(.f64 R (-.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda2 lambda1) -2)))
(/.f64 (*.f64 (-.f64 lambda2 lambda1) R) 1)
(*.f64 R (-.f64 lambda2 lambda1))
(/.f64 (*.f64 (-.f64 lambda2 lambda1) (+.f64 R R)) 2)
(*.f64 R (-.f64 lambda2 lambda1))
(/.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R 4)) 4)
(*.f64 R (-.f64 lambda2 lambda1))
(/.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 R 8)) 8)
(*.f64 R (-.f64 lambda2 lambda1))
(/.f64 (.f64 2 (.f64 (-.f64 lambda2 lambda1) (*.f64 R 8))) 16)
(*.f64 R (-.f64 lambda2 lambda1))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 lambda2 lambda1) (.f64 R 8)))) 32)
(*.f64 R (-.f64 lambda2 lambda1))
(/.f64 (.f64 (+.f64 R R) (.f64 (-.f64 lambda1 lambda2) 1/2)) -1)
(*.f64 R (-.f64 lambda2 lambda1))
(/.f64 (*.f64 R (-.f64 lambda1 lambda2)) -1)
(*.f64 R (-.f64 lambda2 lambda1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 lambda2 lambda1) (*.f64 R 8))))) 64)
(*.f64 R (-.f64 lambda2 lambda1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 lambda2 lambda1) (.f64 R 8)))))) 128)
(*.f64 R (-.f64 lambda2 lambda1))
(pow.f64 (*.f64 (-.f64 lambda2 lambda1) R) 1)
(*.f64 R (-.f64 lambda2 lambda1))
(neg.f64 (.f64 (+.f64 R R) (.f64 (-.f64 lambda1 lambda2) 1/2)))
(*.f64 R (-.f64 lambda2 lambda1))
(neg.f64 (*.f64 R (-.f64 lambda1 lambda2)))
(*.f64 R (-.f64 lambda2 lambda1))

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2)))

Compiler

Compiled 27 to 16 computations (40.7% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	lambda2	@	0	(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2)))
0.0ms	phi1	@	inf	(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2)))
0.0ms	R	@	inf	(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2)))
0.0ms	lambda2	@	inf	(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2)))
0.0ms	R	@	0	(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2)))

rewrite134.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`rational.json-simplify-35`
1372×	`rational.json-1`
1372×	`rational.json-2`
1248×	`exponential.json-3`
1248×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	73	23
2	156	23
3	348	23
4	704	23
5	1654	23
6	3462	23
7	5205	23
8	6378	23
9	7880	23

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 lambda2 (*.f64 R (*.f64 (cos.f64 (*.f64 phi1 -1/2)) 1/2))) (*.f64 lambda2 (*.f64 R (*.f64 (cos.f64 (*.f64 phi1 -1/2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 lambda2 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (+.f64 R R))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 lambda2 (*.f64 (cos.f64 (*.f64 phi1 -1/2)) (*.f64 R 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))) 1)))))

simplify223.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2254×	`exponential.json-simplify-26`
2042×	`rational.json-simplify-35`
1270×	`rational.json-simplify-53`
1200×	`rational.json-simplify-43`
984×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	1243
1	181	1243
2	390	1225
3	879	1207
4	3110	1207
5	4068	1207
6	5227	1207
7	5489	1207
8	5699	1207
9	5924	1207
10	7830	1207

Stop Event

1×	node limit

Counts

49 → 33

Calls

Call 1

Inputs
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(*.f64 lambda2 R)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 R))) (.f64 lambda2 R))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 R))) (+.f64 (.f64 lambda2 R) (.f64 1/384 (.f64 (pow.f64 phi1 4) (*.f64 lambda2 R)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 R))) (+.f64 (.f64 lambda2 R) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi1 4) (.f64 lambda2 R))) (.f64 -1/46080 (.f64 (pow.f64 phi1 6) (.f64 lambda2 R))))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(+.f64 (.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))) 0)
(+.f64 0 (.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))))
(+.f64 (.f64 lambda2 (.f64 R (.f64 (cos.f64 (.f64 phi1 -1/2)) 1/2))) (.f64 lambda2 (.f64 R (.f64 (cos.f64 (.f64 phi1 -1/2)) 1/2))))
(-.f64 (.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))) 0)
(/.f64 (.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))) 1)
(/.f64 (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi1 -1/2)) (+.f64 R R))) 2)
(/.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 R 4))) 4)
(/.f64 (.f64 (.f64 (.f64 lambda2 R) (cos.f64 (.f64 phi1 -1/2))) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (.f64 lambda2 R) (cos.f64 (.f64 phi1 -1/2))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (.f64 lambda2 R) (cos.f64 (.f64 phi1 -1/2))) 8))))) 128)
(pow.f64 (.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))) 1)

Outputs
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(*.f64 lambda2 R)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 R))) (.f64 lambda2 R))
(+.f64 (.f64 lambda2 R) (.f64 -1/8 (.f64 (.f64 lambda2 R) (pow.f64 phi1 2))))
(+.f64 (.f64 lambda2 R) (.f64 (pow.f64 phi1 2) (.f64 (.f64 lambda2 R) -1/8)))
(.f64 lambda2 (+.f64 R (.f64 -1/8 (*.f64 R (pow.f64 phi1 2)))))
(.f64 R (+.f64 lambda2 (.f64 -1/8 (*.f64 lambda2 (pow.f64 phi1 2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 R))) (+.f64 (.f64 lambda2 R) (.f64 1/384 (.f64 (pow.f64 phi1 4) (*.f64 lambda2 R)))))
(+.f64 (.f64 -1/8 (.f64 (.f64 lambda2 R) (pow.f64 phi1 2))) (+.f64 (.f64 lambda2 R) (.f64 1/384 (.f64 lambda2 (*.f64 R (pow.f64 phi1 4))))))
(+.f64 (.f64 lambda2 (.f64 (.f64 R (pow.f64 phi1 4)) 1/384)) (+.f64 (.f64 lambda2 R) (.f64 (pow.f64 phi1 2) (.f64 (*.f64 lambda2 R) -1/8))))
(+.f64 (.f64 -1/8 (.f64 (.f64 lambda2 R) (pow.f64 phi1 2))) (.f64 lambda2 (+.f64 R (.f64 1/384 (.f64 R (pow.f64 phi1 4))))))
(+.f64 (.f64 lambda2 R) (.f64 (.f64 lambda2 R) (+.f64 (.f64 1/384 (pow.f64 phi1 4)) (*.f64 -1/8 (pow.f64 phi1 2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 R))) (+.f64 (.f64 lambda2 R) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi1 4) (.f64 lambda2 R))) (.f64 -1/46080 (.f64 (pow.f64 phi1 6) (.f64 lambda2 R))))))
(+.f64 (.f64 lambda2 R) (+.f64 (+.f64 (.f64 1/384 (.f64 lambda2 (.f64 R (pow.f64 phi1 4)))) (.f64 -1/46080 (.f64 (.f64 lambda2 R) (pow.f64 phi1 6)))) (.f64 -1/8 (.f64 (.f64 lambda2 R) (pow.f64 phi1 2)))))
(+.f64 (.f64 lambda2 R) (+.f64 (.f64 (pow.f64 phi1 2) (.f64 (.f64 lambda2 R) -1/8)) (+.f64 (.f64 lambda2 (.f64 (.f64 R (pow.f64 phi1 4)) 1/384)) (.f64 (.f64 lambda2 R) (.f64 (pow.f64 phi1 6) -1/46080)))))
(+.f64 (.f64 -1/8 (.f64 (.f64 lambda2 R) (pow.f64 phi1 2))) (+.f64 (.f64 1/384 (.f64 lambda2 (.f64 R (pow.f64 phi1 4)))) (.f64 lambda2 (+.f64 R (.f64 -1/46080 (*.f64 R (pow.f64 phi1 6)))))))
(+.f64 (.f64 R (+.f64 lambda2 (.f64 -1/8 (.f64 lambda2 (pow.f64 phi1 2))))) (.f64 (.f64 lambda2 R) (+.f64 (.f64 -1/46080 (pow.f64 phi1 6)) (*.f64 1/384 (pow.f64 phi1 4)))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 -1/2 phi1)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(+.f64 (.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))) 0)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(+.f64 0 (.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(+.f64 (.f64 lambda2 (.f64 R (.f64 (cos.f64 (.f64 phi1 -1/2)) 1/2))) (.f64 lambda2 (.f64 R (.f64 (cos.f64 (.f64 phi1 -1/2)) 1/2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(-.f64 (.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))) 0)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(/.f64 (.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))) 1)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(/.f64 (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi1 -1/2)) (+.f64 R R))) 2)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(/.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 R 4))) 4)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(/.f64 (.f64 (.f64 (.f64 lambda2 R) (cos.f64 (.f64 phi1 -1/2))) 8) 8)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(/.f64 (.f64 2 (.f64 (.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))) 8)) 16)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (.f64 lambda2 R) (cos.f64 (.f64 phi1 -1/2))) 8))) 32)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))) 8)))) 64)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (.f64 lambda2 R) (cos.f64 (.f64 phi1 -1/2))) 8))))) 128)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))
(pow.f64 (.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2))) 1)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 -1/2 phi1)))
(.f64 R (.f64 (cos.f64 (*.f64 -1/2 phi1)) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi1 1/2))))

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
✓	0.2b	(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
	3.6b	(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))

Compiler

Compiled 42 to 21 computations (50% saved)

series8.0ms (0%)

Counts

2 → 32

Calls

21 calls:

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

rewrite120.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1716×	`rational.json-simplify-35`
1262×	`exponential.json-3`
1262×	`rational.json-1`
1262×	`rational.json-2`
1262×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	88	52
2	188	52
3	412	52
4	826	52
5	2042	52
6	4046	52
7	5484	52
8	6743	52

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 lambda2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R 1/2))) (*.f64 lambda2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 2 (*.f64 lambda2 R))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 lambda2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R 1/2)) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 1)))))

simplify157.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2098×	`rational.json-simplify-35`
1194×	`rational.json-simplify-53`
1092×	`rational.json-simplify-41`
1010×	`rational.json-simplify-51`
894×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	2468
1	418	2382
2	931	2282
3	2338	2162
4	4252	2162
5	6681	2162
6	7246	2162
7	7816	2162

Stop Event

1×	node limit

Counts

58 → 108

Calls

Call 1

Inputs
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 phi2)) R)))) (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 phi2)) R)))) (+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 phi2)) R)))) (+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))))) (.f64 1/48 (.f64 (pow.f64 phi1 3) (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 phi2)) R)))))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 lambda2 R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(+.f64 (.f64 -1/8 (.f64 lambda2 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))) (+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))))
(+.f64 (.f64 1/48 (.f64 lambda2 (.f64 R (.f64 (pow.f64 phi2 3) (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (.f64 -1/8 (.f64 lambda2 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))) (+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))))
(.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) R))
(.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) R))
(.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) R))
(.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) R))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) R))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) R)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) R))) (.f64 1/48 (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 1/2 phi2)) R))))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) R)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) R)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) R)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) R)
(.f64 (cos.f64 (.f64 1/2 phi1)) R)
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) R) (.f64 -1/2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) R) (+.f64 (.f64 -1/2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (.f64 -1/8 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) R) (+.f64 (.f64 -1/2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 1/48 (.f64 R (.f64 (pow.f64 phi2 3) (sin.f64 (.f64 1/2 phi1))))) (.f64 -1/8 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2)))))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) R)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) R)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) R)
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) R)
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)))
(+.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R 1/2))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R 1/2))))
(-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)) 0)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)) 1)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 2 (.f64 lambda2 R))) 2)
(/.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R 4))) 4)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 lambda2 R)) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 lambda2 R)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 lambda2 R)) 8))))) 128)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)) 1)
(+.f64 (.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 0)
(+.f64 0 (.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R 1/2)))
(-.f64 (.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 0)
(/.f64 (.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 1)
(/.f64 (.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)) 2)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R 4)) 4)
(/.f64 (.f64 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 8))))) 128)
(pow.f64 (.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 1)

Outputs
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda2 R))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 phi2)) R)))) (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 R)) -1/2)))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 lambda2 (.f64 -1/2 (.f64 R (.f64 (sin.f64 (.f64 1/2 phi2)) phi1)))))
(.f64 lambda2 (+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (.f64 R (.f64 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))) -1/2))))
(.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))) -1/2))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 phi2)) R)))) (+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (+.f64 (.f64 (pow.f64 phi1 2) (.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) -1/8)) (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 lambda2 R)) -1/2))))
(+.f64 (.f64 lambda2 (.f64 -1/2 (.f64 R (.f64 (sin.f64 (.f64 1/2 phi2)) phi1)))) (+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (.f64 lambda2 (.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (*.f64 (pow.f64 phi1 2) -1/8)))))
(+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 lambda2 R) -1/2))) (.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/8 (.f64 (cos.f64 (*.f64 1/2 phi2)) (pow.f64 phi1 2)))))))
(.f64 lambda2 (+.f64 (.f64 R (.f64 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))) -1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 R (.f64 (*.f64 R (pow.f64 phi1 2)) -1/8)))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 phi2)) R)))) (+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))))) (.f64 1/48 (.f64 (pow.f64 phi1 3) (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 phi2)) R)))))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (+.f64 (+.f64 (.f64 (pow.f64 phi1 2) (.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) -1/8)) (.f64 1/48 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 R)) (pow.f64 phi1 3)))) (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 R)) -1/2))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (+.f64 (.f64 lambda2 (.f64 -1/2 (.f64 R (.f64 (sin.f64 (.f64 1/2 phi2)) phi1)))) (+.f64 (.f64 lambda2 (.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (.f64 (pow.f64 phi1 2) -1/8))) (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 R (pow.f64 phi1 3)) 1/48))))))
(+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 lambda2 R) -1/2))) (+.f64 (.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 phi1 2)))))) (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/48 (.f64 R (pow.f64 phi1 3)))))))
(+.f64 (.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (+.f64 lambda2 (.f64 (.f64 -1/8 (pow.f64 phi1 2)) lambda2))) (.f64 lambda2 (.f64 (.f64 R (sin.f64 (.f64 1/2 phi2))) (+.f64 (.f64 -1/2 phi1) (*.f64 1/48 (pow.f64 phi1 3))))))
(+.f64 (.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (+.f64 lambda2 (.f64 (.f64 -1/8 (pow.f64 phi1 2)) lambda2))) (.f64 lambda2 (.f64 (.f64 R (sin.f64 (.f64 1/2 phi2))) (+.f64 (.f64 1/48 (pow.f64 phi1 3)) (*.f64 -1/2 phi1)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 lambda2 R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) -1/2))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 lambda2 R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) -1/2))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 lambda2 R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) -1/2))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 lambda2 R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 lambda2 R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) -1/2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi1)))) (.f64 lambda2 (.f64 R (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) -1/2))))
(.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2)))))
(.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) -1/2)))))
(+.f64 (.f64 -1/8 (.f64 lambda2 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))) (+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 lambda2 (.f64 R (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) -1/2))) (.f64 lambda2 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 (pow.f64 phi2 2) R))))))
(+.f64 (.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))) (.f64 lambda2 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (pow.f64 phi2 2))))))
(.f64 lambda2 (+.f64 (.f64 R (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 R (.f64 -1/8 (*.f64 R (pow.f64 phi2 2)))))))
(.f64 lambda2 (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 R (sin.f64 (.f64 1/2 phi1))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 R (.f64 -1/8 (*.f64 R (pow.f64 phi2 2)))))))
(+.f64 (.f64 1/48 (.f64 lambda2 (.f64 R (.f64 (pow.f64 phi2 3) (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (.f64 -1/8 (.f64 lambda2 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))) (+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi1)))) (.f64 -1/2 (.f64 lambda2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))))
(+.f64 (.f64 lambda2 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) R)))) (+.f64 (+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi1)))) (.f64 lambda2 (.f64 R (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) -1/2)))) (.f64 lambda2 (.f64 1/48 (.f64 R (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)))))))
(+.f64 (.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))) (+.f64 (.f64 lambda2 (.f64 1/48 (.f64 R (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))))) (.f64 lambda2 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (pow.f64 phi2 2)))))))
(+.f64 (.f64 lambda2 (+.f64 (.f64 R (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 R (.f64 -1/8 (.f64 R (pow.f64 phi2 2))))))) (.f64 lambda2 (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 R (pow.f64 phi2 3))))))
(.f64 lambda2 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 R (.f64 -1/8 (.f64 R (pow.f64 phi2 2))))) (.f64 R (+.f64 (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) -1/2))))))
(.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 lambda2 R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) -1/2))))
(.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 lambda2 R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) -1/2))))
(.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 lambda2 R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) -1/2))))
(.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) R))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (.f64 lambda2 R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 (-.f64 phi2 (neg.f64 phi1)) -1/2))))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) R))))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (.f64 -1/2 (.f64 phi1 (.f64 R (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (.f64 -1/2 (.f64 R (.f64 (sin.f64 (.f64 1/2 phi2)) phi1))))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (.f64 R (.f64 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))) -1/2)))
(.f64 R (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))) -1/2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) R)))))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 R (sin.f64 (.f64 1/2 phi2))))) (.f64 -1/8 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 phi1 2))))))
(+.f64 (.f64 -1/2 (.f64 R (.f64 (sin.f64 (.f64 1/2 phi2)) phi1))) (+.f64 (.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (.f64 (pow.f64 phi1 2) -1/8)) (.f64 R (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 R (.f64 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))) -1/2)) (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/8 (.f64 (cos.f64 (*.f64 1/2 phi2)) (pow.f64 phi1 2))))))
(+.f64 (.f64 R (.f64 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))) -1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 R (.f64 (.f64 R (pow.f64 phi1 2)) -1/8))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) R))) (.f64 1/48 (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 1/2 phi2)) R))))))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (+.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 R (sin.f64 (.f64 1/2 phi2))))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R (pow.f64 phi1 3))))) (.f64 -1/8 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 phi1 2))))))
(+.f64 (.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (.f64 (pow.f64 phi1 2) -1/8)) (+.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (+.f64 (.f64 -1/2 (.f64 R (.f64 (sin.f64 (.f64 1/2 phi2)) phi1))) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 R (pow.f64 phi1 3)) 1/48)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/48 (.f64 R (pow.f64 phi1 3)))) (+.f64 (.f64 R (.f64 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))) -1/2)) (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/8 (.f64 (cos.f64 (*.f64 1/2 phi2)) (pow.f64 phi1 2)))))))
(+.f64 (.f64 (.f64 R (sin.f64 (.f64 1/2 phi2))) (+.f64 (.f64 -1/2 phi1) (.f64 1/48 (pow.f64 phi1 3)))) (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 R (.f64 (*.f64 R (pow.f64 phi1 2)) -1/8))))
(+.f64 (.f64 (.f64 R (sin.f64 (.f64 1/2 phi2))) (+.f64 (.f64 1/48 (pow.f64 phi1 3)) (.f64 -1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 R (.f64 (*.f64 R (pow.f64 phi1 2)) -1/8))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) R)
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 R (cos.f64 (.f64 (-.f64 phi2 (neg.f64 phi1)) -1/2)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) R)
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 R (cos.f64 (.f64 (-.f64 phi2 (neg.f64 phi1)) -1/2)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) R)
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 R (cos.f64 (.f64 (-.f64 phi2 (neg.f64 phi1)) -1/2)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) R)
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 R (cos.f64 (.f64 (-.f64 phi2 (neg.f64 phi1)) -1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) R)
(.f64 R (cos.f64 (.f64 1/2 phi1)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) R) (.f64 -1/2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 phi1))) (.f64 R (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) -1/2)))
(.f64 R (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 R (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 phi2 -1/2))))
(.f64 R (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) -1/2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) R) (+.f64 (.f64 -1/2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (.f64 -1/8 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))))
(+.f64 (.f64 R (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) -1/2)) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) R))) (.f64 R (cos.f64 (.f64 1/2 phi1)))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (pow.f64 phi2 2)))) (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(+.f64 (.f64 R (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 R (.f64 -1/8 (.f64 R (pow.f64 phi2 2))))))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 R (sin.f64 (.f64 1/2 phi1))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 R (.f64 -1/8 (.f64 R (pow.f64 phi2 2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) R) (+.f64 (.f64 -1/2 (.f64 R (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 1/48 (.f64 R (.f64 (pow.f64 phi2 3) (sin.f64 (.f64 1/2 phi1))))) (.f64 -1/8 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2)))))))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 phi1))) (+.f64 (.f64 R (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) -1/2)) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) R))) (.f64 1/48 (.f64 R (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)))))))
(+.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (pow.f64 phi2 2)))) (.f64 1/48 (.f64 R (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))))) (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 R (.f64 -1/8 (.f64 R (pow.f64 phi2 2))))) (.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2)) (.f64 1/48 (.f64 (sin.f64 (*.f64 1/2 phi1)) (pow.f64 phi2 3))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 R (.f64 -1/8 (.f64 R (pow.f64 phi2 2))))) (.f64 R (+.f64 (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) -1/2)))))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) R)
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 R (cos.f64 (.f64 (-.f64 phi2 (neg.f64 phi1)) -1/2)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) R)
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 R (cos.f64 (.f64 (-.f64 phi2 (neg.f64 phi1)) -1/2)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) R)
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 R (cos.f64 (.f64 (-.f64 phi2 (neg.f64 phi1)) -1/2)))
(.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) R)
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))))
(.f64 R (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))
(.f64 R (cos.f64 (.f64 (-.f64 phi2 (neg.f64 phi1)) -1/2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)) 0)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(+.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R 1/2))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R 1/2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)) 0)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)) 1)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 2 (.f64 lambda2 R))) 2)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(/.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R 4))) 4)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(/.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 lambda2 R)) 8) 8)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)) 8)) 16)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 lambda2 R)) 8))) 32)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)) 8)))) 64)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 lambda2 R)) 8))))) 128)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 R)) 1)
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) lambda2))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(+.f64 (.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 0)
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(+.f64 0 (.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 R 1/2)))
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(-.f64 (.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 0)
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(/.f64 (.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 1)
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(/.f64 (.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)) 2)
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R 4)) 4)
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(/.f64 (.f64 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 8) 8)
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(/.f64 (.f64 2 (.f64 (.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 8)) 16)
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 8))) 32)
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 8)))) 64)
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 8))))) 128)
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(pow.f64 (.f64 R (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 1)
(.f64 R (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (-.f64 lambda2 lambda1)))))
✓	0.1b	(.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))
✓	2.8b	(.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (-.f64 lambda2 lambda1))))
✓	4.1b	(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 (*.f64 phi1 (-.f64 lambda2 lambda1))))))

Compiler

Compiled 102 to 52 computations (49% saved)

series19.0ms (0.1%)

Counts

4 → 192

Calls

48 calls:

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

rewrite113.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`rational.json-simplify-35`
1368×	`exponential.json-3`
1368×	`rational.json-1`
1368×	`rational.json-2`
1368×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	190
1	139	190
2	298	190
3	669	166
4	1389	166
5	3367	166
6	6109	166

Stop Event

1×	node limit

Counts

4 → 61

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 R (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) (.f64 R 1/2)) (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) (.f64 R 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1))))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda1 lambda2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (.f64 (-.f64 lambda2 lambda1) (/.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) phi1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda2 lambda1) phi1)) -1/4) (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda2 lambda1) phi1)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda1 lambda2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (-.f64 lambda2 lambda1) (/.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) phi1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda1 lambda2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda1 lambda2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 phi1 phi1)) (sin.f64 (.f64 phi2 -1/2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 phi1 phi1)) (sin.f64 (.f64 phi2 -1/2)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 lambda2 lambda1) (/.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) phi1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 phi1 phi1)) (sin.f64 (.f64 phi2 -1/2))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 phi1 phi1)) (sin.f64 (.f64 phi2 -1/2)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 phi1 phi1)) (sin.f64 (.f64 phi2 -1/2)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 phi1 phi1)) (sin.f64 (.f64 phi2 -1/2))))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda1 lambda2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (-.f64 lambda2 lambda1) (/.f64 (.f64 (sin.f64 (*.f64 1/2 phi2)) phi1) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))) (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda2 lambda1) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda2 lambda1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda2 lambda1) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda2 lambda1) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda2 lambda1) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda2 lambda1) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda2 lambda1) 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda2 lambda1)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 1/2 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1))) (-.f64 lambda2 lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 1)))))

simplify396.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1954×	`rational.json-simplify-35`
1506×	`rational.json-simplify-51`
1108×	`rational.json-simplify-2`
862×	`rational.json-simplify-53`
682×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	277	15317
1	701	14667
2	1588	13191
3	3075	12885
4	5797	12885
5	6332	12885
6	6918	12885
7	7757	12885
8	7954	12885

Stop Event

1×	node limit

Counts

253 → 254

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(*.f64 R (-.f64 lambda2 lambda1))
(+.f64 (.f64 -1/4 (.f64 phi1 (.f64 R (.f64 phi2 (-.f64 lambda2 lambda1))))) (*.f64 R (-.f64 lambda2 lambda1)))
(+.f64 (.f64 -1/8 (.f64 R (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi2 2)))) (+.f64 (.f64 -1/4 (.f64 phi1 (.f64 R (.f64 phi2 (-.f64 lambda2 lambda1))))) (.f64 R (-.f64 lambda2 lambda1))))
(+.f64 (.f64 -1/8 (.f64 R (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi2 2)))) (+.f64 (.f64 -1/4 (.f64 phi1 (.f64 R (.f64 phi2 (-.f64 lambda2 lambda1))))) (+.f64 (.f64 1/96 (.f64 phi1 (.f64 R (.f64 (pow.f64 phi2 3) (-.f64 lambda2 lambda1))))) (.f64 R (-.f64 lambda2 lambda1)))))
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) R)
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) R) (.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) R) (.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) R) (.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))))
(.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) R) (.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) R) (.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) R) (.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))))
(.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (.f64 lambda2 R)))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) R) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (.f64 lambda2 R))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) R) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (.f64 lambda2 R))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) R) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (.f64 lambda2 R))))
(.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))) R)
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R) (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (.f64 R lambda1)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R) (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (.f64 R lambda1)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R) (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (.f64 R lambda1)))
(.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (*.f64 R lambda1))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R) (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (.f64 R lambda1)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R) (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (.f64 R lambda1)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R) (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (.f64 R lambda1)))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))) lambda1)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R) (.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) lambda1))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R) (.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) lambda1))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R) (.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) lambda1))))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R (-.f64 lambda2 lambda1))))))
(+.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R (-.f64 lambda2 lambda1))))))
(+.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R (-.f64 lambda2 lambda1))))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda2 lambda1)))))
(+.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R (-.f64 lambda2 lambda1))))))
(+.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R (-.f64 lambda2 lambda1))))))
(+.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R (-.f64 lambda2 lambda1))))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda2 lambda1)))))
(+.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R (-.f64 lambda2 lambda1))))))
(+.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R (-.f64 lambda2 lambda1))))))
(+.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))) (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 R (-.f64 lambda2 lambda1))))))
(.f64 -1/4 (.f64 phi1 (*.f64 (-.f64 lambda2 lambda1) phi2)))
(+.f64 (.f64 1/96 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi2 3)))) (.f64 -1/4 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) phi2))))
(+.f64 (.f64 1/96 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi2 3)))) (+.f64 (.f64 -1/4 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) phi2))) (.f64 -1/7680 (.f64 phi1 (*.f64 (-.f64 lambda2 lambda1) (pow.f64 phi2 5))))))
(+.f64 (.f64 1/96 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi2 3)))) (+.f64 (.f64 -1/4 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) phi2))) (+.f64 (.f64 1/1290240 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi2 7)))) (.f64 -1/7680 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi2 5)))))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
(.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
(.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
(.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))))
(.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))))
(.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))))
(-.f64 lambda2 lambda1)
(-.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (-.f64 lambda2 lambda1))) lambda2) lambda1)
(-.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (-.f64 lambda2 lambda1))) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi2 4) (-.f64 lambda2 lambda1))) lambda2)) lambda1)
(-.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (-.f64 lambda2 lambda1))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 phi2 6) (-.f64 lambda2 lambda1))) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi2 4) (-.f64 lambda2 lambda1))) lambda2))) lambda1)
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(-.f64 lambda2 lambda1)
(-.f64 (+.f64 lambda2 (.f64 -1/4 (.f64 phi1 (*.f64 (-.f64 lambda2 lambda1) phi2)))) lambda1)
(-.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (-.f64 lambda2 lambda1))) (+.f64 lambda2 (.f64 -1/4 (.f64 phi1 (*.f64 (-.f64 lambda2 lambda1) phi2))))) lambda1)
(-.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (-.f64 lambda2 lambda1))) (+.f64 lambda2 (+.f64 (.f64 -1/4 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) phi2))) (.f64 1/96 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi2 3))))))) lambda1)
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))
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(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))
(.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))
(.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (*.f64 1/2 phi2)))) lambda2))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) lambda2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) lambda2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) lambda2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) lambda1) (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) lambda1) (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) lambda1) (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))
(.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) lambda1)
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) lambda1) (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) lambda1) (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) lambda1) (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))
(.f64 -1 (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1 (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1 (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1 (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
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(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1))))) 0)
(+.f64 0 (.f64 R (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1))))))
(+.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) (.f64 R 1/2)) (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) (.f64 R 1/2)))
(-.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1))))) 0)
(/.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1))))) 1)
(/.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) (+.f64 R R)) 2)
(/.f64 (.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 -1/2 phi1)))) 4)) 4)
(/.f64 (.f64 2 (.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 -1/2 phi1)))) 4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 R (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4)))))) 64)
(pow.f64 (.f64 R (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1))))) 1)
(+.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda1 lambda2)))) 0)
(+.f64 0 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda1 lambda2)))))
(+.f64 -1 (-.f64 1 (.f64 (-.f64 lambda2 lambda1) (/.f64 (.f64 (sin.f64 (*.f64 1/2 phi2)) phi1) 2))))
(+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda2 lambda1) phi1)) -1/4) (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda2 lambda1) phi1)) -1/4))
(-.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda1 lambda2)))) 0)
(-.f64 0 (.f64 (-.f64 lambda2 lambda1) (/.f64 (.f64 (sin.f64 (*.f64 1/2 phi2)) phi1) 2)))
(/.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda1 lambda2)))) 1)
(/.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 phi1 (-.f64 lambda1 lambda2))) 2)
(/.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 phi1 phi1)) (sin.f64 (*.f64 phi2 -1/2))) 4)
(/.f64 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 phi1 phi1)) (sin.f64 (.f64 phi2 -1/2)))) 8)
(/.f64 (.f64 (-.f64 lambda2 lambda1) (/.f64 (.f64 (sin.f64 (*.f64 1/2 phi2)) phi1) 2)) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 phi1 phi1)) (sin.f64 (*.f64 phi2 -1/2))))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 phi1 phi1)) (sin.f64 (.f64 phi2 -1/2)))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 phi1 phi1)) (sin.f64 (.f64 phi2 -1/2)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 phi1 phi1)) (sin.f64 (.f64 phi2 -1/2))))))) 64)
(pow.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda1 lambda2)))) 1)
(neg.f64 (.f64 (-.f64 lambda2 lambda1) (/.f64 (.f64 (sin.f64 (*.f64 1/2 phi2)) phi1) 2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))) (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)) 0)
(/.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)) 1)
(/.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 (-.f64 lambda2 lambda1) 2)) 2)
(/.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 (-.f64 lambda2 lambda1) 4)) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda2 lambda1) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 (-.f64 lambda2 lambda1) 4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda2 lambda1) 4))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda2 lambda1) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda2 lambda1) 4)))))) 64)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)) 1)
(-.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 -1/2 phi1)))) 0)
(.f64 1/2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 -1/2 phi1)))) 2))
(.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 -1/2 phi1))))
(.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 (sin.f64 (*.f64 1/2 phi2)) phi1))))
(.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 (sin.f64 (*.f64 1/2 phi2)) -1/2))))
(.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 1)
(.f64 1 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))))
(.f64 2 (.f64 1/2 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 -1/2 phi1))))))
(.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 -1/2 phi1)))) 2) 1/2)
(.f64 4 (/.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4))
(.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 -1/2 phi1)))) 4) 1/4)
(.f64 (.f64 1/2 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 -1/2 phi1))))) 2)
(.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 -1/2 phi1))) (-.f64 lambda2 lambda1))
(/.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 -1/2 phi1)))) 1)
(/.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 2) 2)
(/.f64 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4) 4)
(/.f64 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 -1/2 phi1)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 -1/2 phi1)))) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4))))) 64)
(pow.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 -1/2 phi1)))) 1)

Outputs
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (.f64 (-.f64 lambda2 lambda1) R) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
(.f64 (+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 (.f64 (-.f64 lambda2 lambda1) R) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
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(.f64 R (+.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))))
(.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 (.f64 -1/2 phi1))) (.f64 (cos.f64 (*.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1))))))
(.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 lambda2))) (.f64 (cos.f64 (*.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) R) (.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))))
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(.f64 R (+.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))))
(.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 (.f64 -1/2 phi1))) (.f64 (cos.f64 (*.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1))))))
(.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 lambda2))) (.f64 (cos.f64 (*.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) R) (.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))))
(+.f64 (.f64 R (+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)))) (.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))))
(.f64 R (+.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))))
(.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 (.f64 -1/2 phi1))) (.f64 (cos.f64 (*.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1))))))
(.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 lambda2))) (.f64 (cos.f64 (*.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1))))))
(.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (.f64 lambda2 R)))
(.f64 -1 (.f64 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) -1)) (.f64 lambda2 R)))
(.f64 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2)))) (neg.f64 (.f64 lambda2 R)))
(.f64 lambda2 (neg.f64 (.f64 R (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2)))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) R) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (.f64 lambda2 R))))
(+.f64 (.f64 R (+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)))) (.f64 -1 (.f64 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) -1)) (.f64 lambda2 R))))
(+.f64 (.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2)))))) (.f64 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2)))) (neg.f64 (*.f64 lambda2 R))))
(+.f64 (.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2)))))) (.f64 lambda2 (neg.f64 (.f64 R (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (*.f64 1/2 phi2))))))))
(+.f64 (.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2)))))) (.f64 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2)))) (neg.f64 (*.f64 lambda2 R))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) R) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (.f64 lambda2 R))))
(+.f64 (.f64 R (+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)))) (.f64 -1 (.f64 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) -1)) (.f64 lambda2 R))))
(+.f64 (.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2)))))) (.f64 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2)))) (neg.f64 (*.f64 lambda2 R))))
(+.f64 (.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2)))))) (.f64 lambda2 (neg.f64 (.f64 R (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (*.f64 1/2 phi2))))))))
(+.f64 (.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2)))))) (.f64 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2)))) (neg.f64 (*.f64 lambda2 R))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) R) (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (.f64 lambda2 R))))
(+.f64 (.f64 R (+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)))) (.f64 -1 (.f64 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) -1)) (.f64 lambda2 R))))
(+.f64 (.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2)))))) (.f64 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2)))) (neg.f64 (*.f64 lambda2 R))))
(+.f64 (.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2)))))) (.f64 lambda2 (neg.f64 (.f64 R (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (*.f64 1/2 phi2))))))))
(+.f64 (.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2)))))) (.f64 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2)))) (neg.f64 (*.f64 lambda2 R))))
(.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2)))))))
(.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 R))
(.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R) (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (.f64 R lambda1)))
(+.f64 (.f64 R (+.f64 (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (.f64 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) -1)) (.f64 lambda1 R)))
(.f64 R (+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 lambda1 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (*.f64 1/2 phi2)))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R) (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (.f64 R lambda1)))
(+.f64 (.f64 R (+.f64 (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (.f64 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) -1)) (.f64 lambda1 R)))
(.f64 R (+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 lambda1 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (*.f64 1/2 phi2)))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R) (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (.f64 R lambda1)))
(+.f64 (.f64 R (+.f64 (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (.f64 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) -1)) (.f64 lambda1 R)))
(.f64 R (+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 lambda1 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (*.f64 1/2 phi2)))))))
(.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (*.f64 R lambda1))
(.f64 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) -1)) (*.f64 lambda1 R))
(.f64 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2)))) (.f64 lambda1 R))
(.f64 R (.f64 lambda1 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R) (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (.f64 R lambda1)))
(+.f64 (.f64 R (+.f64 (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (.f64 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) -1)) (.f64 lambda1 R)))
(.f64 R (+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 lambda1 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (*.f64 1/2 phi2)))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R) (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (.f64 R lambda1)))
(+.f64 (.f64 R (+.f64 (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (.f64 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) -1)) (.f64 lambda1 R)))
(.f64 R (+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 lambda1 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (*.f64 1/2 phi2)))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R) (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) (.f64 R lambda1)))
(+.f64 (.f64 R (+.f64 (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (.f64 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) -1)) (.f64 lambda1 R)))
(.f64 R (+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 lambda1 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (*.f64 1/2 phi2)))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))) lambda1)))
(.f64 R (.f64 lambda1 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 -1/2 (sin.f64 (*.f64 1/2 phi2))))) -1)))
(.f64 lambda1 (.f64 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) R))
(.f64 lambda1 (.f64 R (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))))
(.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (neg.f64 (.f64 lambda1 R)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) R) (.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) lambda1))))
(+.f64 (.f64 R (+.f64 (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 lambda1 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))) -1))))
(.f64 R (+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2)))))))))
(.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (+.f64 lambda2 (neg.f64 lambda1))))
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(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1))))
(.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda2 lambda1))))
(.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2))
(.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2))
(.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1)))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
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(.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2)) (.f64 1/2 (.f64 (sin.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 (sin.f64 (.f64 1/2 phi2)) (+.f64 (.f64 lambda2 (.f64 -1/2 phi1)) (.f64 1/2 (.f64 phi1 lambda1))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
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(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 -1/2 phi1) lambda2)))
(.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2)) (.f64 1/2 (.f64 (sin.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 (sin.f64 (.f64 1/2 phi2)) (+.f64 (.f64 lambda2 (.f64 -1/2 phi1)) (.f64 1/2 (.f64 phi1 lambda1))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 -1/2 phi1) lambda2)))
(.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2)) (.f64 1/2 (.f64 (sin.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 (sin.f64 (.f64 1/2 phi2)) (+.f64 (.f64 lambda2 (.f64 -1/2 phi1)) (.f64 1/2 (.f64 phi1 lambda1))))
(.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))
(.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2)))))
(.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 -1/2 phi1) lambda2))
(.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 (.f64 -1/2 phi1)))
(.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 lambda2)))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 -1/2 phi1) lambda2)))
(.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2)) (.f64 1/2 (.f64 (sin.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 (sin.f64 (.f64 1/2 phi2)) (+.f64 (.f64 lambda2 (.f64 -1/2 phi1)) (.f64 1/2 (.f64 phi1 lambda1))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 -1/2 phi1) lambda2)))
(.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2)) (.f64 1/2 (.f64 (sin.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 (sin.f64 (.f64 1/2 phi2)) (+.f64 (.f64 lambda2 (.f64 -1/2 phi1)) (.f64 1/2 (.f64 phi1 lambda1))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 -1/2 phi1) lambda2)))
(.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2)) (.f64 1/2 (.f64 (sin.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 (sin.f64 (.f64 1/2 phi2)) (+.f64 (.f64 lambda2 (.f64 -1/2 phi1)) (.f64 1/2 (.f64 phi1 lambda1))))
(.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))
(.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2)))))
(.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 -1/2 phi1) lambda2))
(.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 (.f64 -1/2 phi1)))
(.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 lambda2)))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 -1/2 phi1) lambda2)))
(.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2)) (.f64 1/2 (.f64 (sin.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 (sin.f64 (.f64 1/2 phi2)) (+.f64 (.f64 lambda2 (.f64 -1/2 phi1)) (.f64 1/2 (.f64 phi1 lambda1))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 -1/2 phi1) lambda2)))
(.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2)) (.f64 1/2 (.f64 (sin.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 (sin.f64 (.f64 1/2 phi2)) (+.f64 (.f64 lambda2 (.f64 -1/2 phi1)) (.f64 1/2 (.f64 phi1 lambda1))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 -1/2 phi1) lambda2)))
(.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2)) (.f64 1/2 (.f64 (sin.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 (sin.f64 (.f64 1/2 phi2)) (+.f64 (.f64 lambda2 (.f64 -1/2 phi1)) (.f64 1/2 (.f64 phi1 lambda1))))
(.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2)))))
(.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2)))))
(.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 -1/2 phi1) lambda2))
(.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 (.f64 -1/2 phi1)))
(.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 lambda2)))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 -1/2 phi1) lambda2)))
(.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2)) (.f64 1/2 (.f64 (sin.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 (sin.f64 (.f64 1/2 phi2)) (+.f64 (.f64 lambda2 (.f64 -1/2 phi1)) (.f64 1/2 (.f64 phi1 lambda1))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 -1/2 phi1) lambda2)))
(.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2)) (.f64 1/2 (.f64 (sin.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 (sin.f64 (.f64 1/2 phi2)) (+.f64 (.f64 lambda2 (.f64 -1/2 phi1)) (.f64 1/2 (.f64 phi1 lambda1))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 -1/2 phi1) lambda2)))
(.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2)) (.f64 1/2 (.f64 (sin.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 (sin.f64 (.f64 1/2 phi2)) (+.f64 (.f64 lambda2 (.f64 -1/2 phi1)) (.f64 1/2 (.f64 phi1 lambda1))))
(.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2))
(.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2))
(.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1)))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 -1/2 phi1) lambda2)))
(.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2)) (.f64 1/2 (.f64 (sin.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 (sin.f64 (.f64 1/2 phi2)) (+.f64 (.f64 lambda2 (.f64 -1/2 phi1)) (.f64 1/2 (.f64 phi1 lambda1))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 -1/2 phi1) lambda2)))
(.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2)) (.f64 1/2 (.f64 (sin.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 (sin.f64 (.f64 1/2 phi2)) (+.f64 (.f64 lambda2 (.f64 -1/2 phi1)) (.f64 1/2 (.f64 phi1 lambda1))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 -1/2 phi1) lambda2)))
(.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2)) (.f64 1/2 (.f64 (sin.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 (sin.f64 (.f64 1/2 phi2)) (+.f64 (.f64 lambda2 (.f64 -1/2 phi1)) (.f64 1/2 (.f64 phi1 lambda1))))
(.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2))
(.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2))
(.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1)))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 -1/2 phi1) lambda2)))
(.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2)) (.f64 1/2 (.f64 (sin.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 (sin.f64 (.f64 1/2 phi2)) (+.f64 (.f64 lambda2 (.f64 -1/2 phi1)) (.f64 1/2 (.f64 phi1 lambda1))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 -1/2 phi1) lambda2)))
(.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2)) (.f64 1/2 (.f64 (sin.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 (sin.f64 (.f64 1/2 phi2)) (+.f64 (.f64 lambda2 (.f64 -1/2 phi1)) (.f64 1/2 (.f64 phi1 lambda1))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1/2 (.f64 phi1 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 -1/2 phi1) lambda2)))
(.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda2)) (.f64 1/2 (.f64 (sin.f64 (*.f64 1/2 phi2)) lambda1))))
(.f64 (sin.f64 (.f64 1/2 phi2)) (+.f64 (.f64 lambda2 (.f64 -1/2 phi1)) (.f64 1/2 (.f64 phi1 lambda1))))
(-.f64 lambda2 lambda1)
(-.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (-.f64 lambda2 lambda1))) lambda2) lambda1)
(+.f64 lambda2 (-.f64 (.f64 (pow.f64 phi2 2) (.f64 (-.f64 lambda2 lambda1) -1/8)) lambda1))
(+.f64 lambda2 (-.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 (pow.f64 phi2 2) -1/8)) lambda1))
(+.f64 lambda2 (-.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 -1/8 (pow.f64 phi2 2))) lambda1))
(.f64 (-.f64 lambda2 lambda1) (+.f64 (.f64 -1/8 (pow.f64 phi2 2)) 1))
(-.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (-.f64 lambda2 lambda1))) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi2 4) (-.f64 lambda2 lambda1))) lambda2)) lambda1)
(+.f64 (+.f64 lambda2 (.f64 1/384 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi2 4)))) (-.f64 (.f64 (pow.f64 phi2 2) (.f64 (-.f64 lambda2 lambda1) -1/8)) lambda1))
(+.f64 (+.f64 lambda2 (.f64 (pow.f64 phi2 4) (.f64 (-.f64 lambda2 lambda1) 1/384))) (-.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 (pow.f64 phi2 2) -1/8)) lambda1))
(+.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 -1/8 (pow.f64 phi2 2))) (+.f64 (.f64 (pow.f64 phi2 4) (.f64 (-.f64 lambda2 lambda1) 1/384)) (-.f64 lambda2 lambda1)))
(+.f64 lambda2 (-.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (.f64 1/384 (pow.f64 phi2 4)) (*.f64 -1/8 (pow.f64 phi2 2)))) lambda1))
(-.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (-.f64 lambda2 lambda1))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 phi2 6) (-.f64 lambda2 lambda1))) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi2 4) (-.f64 lambda2 lambda1))) lambda2))) lambda1)
(+.f64 (+.f64 (+.f64 lambda2 (.f64 1/384 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi2 4)))) (.f64 -1/46080 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi2 6)))) (-.f64 (.f64 (pow.f64 phi2 2) (.f64 (-.f64 lambda2 lambda1) -1/8)) lambda1))
(+.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 (pow.f64 phi2 2) -1/8)) (-.f64 (+.f64 lambda2 (+.f64 (.f64 (pow.f64 phi2 6) (.f64 (-.f64 lambda2 lambda1) -1/46080)) (.f64 (pow.f64 phi2 4) (.f64 (-.f64 lambda2 lambda1) 1/384)))) lambda1))
(+.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 -1/8 (pow.f64 phi2 2))) (+.f64 (.f64 (pow.f64 phi2 4) (.f64 (-.f64 lambda2 lambda1) 1/384)) (-.f64 (+.f64 lambda2 (.f64 (pow.f64 phi2 6) (.f64 (-.f64 lambda2 lambda1) -1/46080))) lambda1)))
(+.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (.f64 -1/46080 (pow.f64 phi2 6)) (.f64 1/384 (pow.f64 phi2 4)))) (.f64 (-.f64 lambda2 lambda1) (+.f64 (*.f64 -1/8 (pow.f64 phi2 2)) 1)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))
(.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda1 -1))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda1 -1))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda1 -1))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))
(-.f64 lambda2 lambda1)
(-.f64 (+.f64 lambda2 (.f64 -1/4 (.f64 phi1 (*.f64 (-.f64 lambda2 lambda1) phi2)))) lambda1)
(+.f64 (.f64 phi1 (.f64 (*.f64 phi2 (-.f64 lambda2 lambda1)) -1/4)) (-.f64 lambda2 lambda1))
(+.f64 (-.f64 lambda2 lambda1) (.f64 (-.f64 lambda2 lambda1) (.f64 (*.f64 phi1 phi2) -1/4)))
(+.f64 (-.f64 lambda2 lambda1) (.f64 (-.f64 lambda2 lambda1) (.f64 -1/4 (*.f64 phi1 phi2))))
(.f64 (-.f64 lambda2 lambda1) (+.f64 (.f64 -1/4 (*.f64 phi1 phi2)) 1))
(-.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (-.f64 lambda2 lambda1))) (+.f64 lambda2 (.f64 -1/4 (.f64 phi1 (*.f64 (-.f64 lambda2 lambda1) phi2))))) lambda1)
(+.f64 (+.f64 lambda2 (.f64 phi1 (.f64 (.f64 phi2 (-.f64 lambda2 lambda1)) -1/4))) (-.f64 (.f64 (pow.f64 phi2 2) (*.f64 (-.f64 lambda2 lambda1) -1/8)) lambda1))
(+.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 (pow.f64 phi2 2) -1/8)) (+.f64 (-.f64 lambda2 lambda1) (.f64 (-.f64 lambda2 lambda1) (.f64 (*.f64 phi1 phi2) -1/4))))
(+.f64 lambda2 (+.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 -1/4 (.f64 phi1 phi2))) (-.f64 (.f64 (-.f64 lambda2 lambda1) (*.f64 -1/8 (pow.f64 phi2 2))) lambda1)))
(+.f64 (-.f64 lambda2 lambda1) (.f64 (-.f64 lambda2 lambda1) (+.f64 (.f64 -1/8 (pow.f64 phi2 2)) (.f64 -1/4 (.f64 phi1 phi2)))))
(-.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (-.f64 lambda2 lambda1))) (+.f64 lambda2 (+.f64 (.f64 -1/4 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) phi2))) (.f64 1/96 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi2 3))))))) lambda1)
(+.f64 (+.f64 lambda2 (+.f64 (.f64 phi1 (.f64 (.f64 phi2 (-.f64 lambda2 lambda1)) -1/4)) (.f64 1/96 (.f64 phi1 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi2 3)))))) (-.f64 (.f64 (pow.f64 phi2 2) (.f64 (-.f64 lambda2 lambda1) -1/8)) lambda1))
(+.f64 (+.f64 lambda2 (+.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 (.f64 phi1 phi2) -1/4)) (.f64 1/96 (.f64 (pow.f64 phi2 3) (.f64 phi1 (-.f64 lambda2 lambda1)))))) (-.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 (pow.f64 phi2 2) -1/8)) lambda1))
(+.f64 lambda2 (+.f64 (.f64 phi1 (+.f64 (.f64 1/96 (.f64 (-.f64 lambda2 lambda1) (pow.f64 phi2 3))) (.f64 -1/4 (.f64 phi2 (-.f64 lambda2 lambda1))))) (-.f64 (.f64 (-.f64 lambda2 lambda1) (*.f64 -1/8 (pow.f64 phi2 2))) lambda1)))
(+.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (.f64 -1/8 (pow.f64 phi2 2)) (.f64 -1/4 (.f64 phi1 phi2)))) (.f64 (-.f64 lambda2 lambda1) (+.f64 (.f64 1/96 (*.f64 phi1 (pow.f64 phi2 3))) 1)))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda1 -1)))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))))
(+.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 (.f64 -1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 lambda2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))))
(+.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 (.f64 -1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 lambda2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))))
(+.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 (.f64 -1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 lambda2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))))
(.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))
(.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 -1/2 (sin.f64 (*.f64 1/2 phi2))))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))))
(+.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 (.f64 -1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 lambda2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))))
(+.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 (.f64 -1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 lambda2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))))))
(+.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 (.f64 -1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 lambda2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 lambda2 (neg.f64 lambda1)))))
(.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (*.f64 1/2 phi2)))) lambda2))
(.f64 -1 (.f64 lambda2 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (*.f64 1/2 phi2)) -1))))
(.f64 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (*.f64 1/2 phi2)))) (neg.f64 lambda2))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) lambda2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 -1 (.f64 lambda2 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) -1))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 -1 (+.f64 (.f64 lambda2 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2))))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (.f64 -1 (+.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 phi2))) (.f64 lambda2 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2))))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (neg.f64 (+.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 phi2))) (.f64 lambda2 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (*.f64 1/2 phi2))))))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) lambda2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 -1 (.f64 lambda2 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) -1))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 -1 (+.f64 (.f64 lambda2 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2))))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (.f64 -1 (+.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 phi2))) (.f64 lambda2 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2))))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (neg.f64 (+.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 phi2))) (.f64 lambda2 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (*.f64 1/2 phi2))))))))
(+.f64 (.f64 1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) lambda2)) (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 phi1 (.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) lambda1) 1/2)) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 -1)) (.f64 -1 (.f64 lambda2 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) -1))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 phi1 lambda1) 1/2)) (.f64 -1 (+.f64 (.f64 lambda2 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2))))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (.f64 -1 (+.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 phi2))) (.f64 lambda2 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2))))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/2 (.f64 phi1 lambda1))) (neg.f64 (+.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 phi2))) (.f64 lambda2 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (*.f64 1/2 phi2))))))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))
(.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 -1/2 (sin.f64 (*.f64 1/2 phi2))))))
(.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) lambda1) (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (+.f64 (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) (.f64 lambda1 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) -1))))
(+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 lambda1 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) lambda1) (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (+.f64 (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) (.f64 lambda1 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) -1))))
(+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 lambda1 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) lambda1) (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (+.f64 (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) (.f64 lambda1 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) -1))))
(+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 lambda1 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2))))))
(.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) lambda1)
(.f64 lambda1 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) -1)))
(.f64 lambda1 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) lambda1) (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (+.f64 (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) (.f64 lambda1 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) -1))))
(+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 lambda1 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) lambda1) (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (+.f64 (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) (.f64 lambda1 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) -1))))
(+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 lambda1 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))) (.f64 -1 (cos.f64 (.f64 1/2 phi2)))) lambda1) (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (+.f64 (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) (.f64 lambda1 (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) 1/2)) (.f64 (cos.f64 (.f64 1/2 phi2)) -1))))
(+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 lambda1 (+.f64 (.f64 phi1 (.f64 1/2 (sin.f64 (.f64 1/2 phi2)))) (neg.f64 (cos.f64 (.f64 1/2 phi2))))))
(.f64 -1 (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))))
(.f64 lambda1 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))) -1))
(.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2)))))))
(+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1 (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 lambda2 (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) (.f64 lambda1 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))) -1))))
(+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))) (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))))))
(.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))) (+.f64 lambda2 (neg.f64 lambda1)))
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(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 -1/2 phi1)))) 4)))) 32)
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))) 4))))) 64)
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))
(pow.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (*.f64 -1/2 phi1)))) 1)
(+.f64 (.f64 -1/2 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 (-.f64 lambda2 lambda1)))) (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2))))
(.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))

eval380.0ms (1.7%)

Compiler: Compiled 25388 to 16017 computations (36.9% saved)

prune197.0ms (0.9%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	797	14	811
Fresh	6	10	16
Picked	1	0	1
Done	2	6	8
Total	806	30	836

Error

4.1b

Counts

836 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	44.5b	(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (-.f64 lambda2 lambda1))) (.f64 (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))) (.f64 R -1/2)))
	51.4b	(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi1)))) (.f64 lambda2 (.f64 R (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) -1/2))))
	45.0b	(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
	44.4b	(.f64 (-.f64 lambda2 lambda1) (.f64 (cos.f64 (*.f64 1/2 phi2)) R))
✓	45.0b	(*.f64 (-.f64 lambda2 lambda1) R)
	51.8b	(.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))) R)
	51.7b	(.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 R))
	54.9b	(.f64 (.f64 lambda1 (cos.f64 (*.f64 phi1 -1/2))) (neg.f64 R))
	54.9b	(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 lambda1 (neg.f64 R)))
	51.2b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda2 R))
	60.8b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R lambda1))
✓	44.1b	(*.f64 phi1 (neg.f64 R))
	52.5b	(.f64 lambda2 (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 R (sin.f64 (.f64 1/2 phi1))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 R (.f64 -1/8 (*.f64 R (pow.f64 phi2 2)))))))
	51.5b	(.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2)))))
	51.2b	(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi2 -1/2))))
✓	50.2b	(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
	51.9b	(*.f64 lambda2 R)
	60.8b	(.f64 lambda1 (.f64 (cos.f64 (*.f64 phi2 -1/2)) R))
	60.4b	(.f64 lambda1 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
✓	26.8b	(*.f64 R (-.f64 phi2 phi1))
✓	44.0b	(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)))
	51.2b	(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) lambda2))
	60.4b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda2)))
	55.1b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda1)))
	61.5b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
	59.2b	(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
	41.9b	(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	44.1b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	55.0b	(*.f64 R (neg.f64 lambda1))
✓	45.0b	(*.f64 R phi2)

Compiler

Compiled 487 to 361 computations (25.9% saved)

regimes776.0ms (3.5%)

Counts

54 → 3

Calls

Call 1

Inputs
(*.f64 R phi2)
(*.f64 lambda2 R)
(*.f64 R (neg.f64 lambda1))
(*.f64 R (neg.f64 phi1))
(*.f64 phi1 (neg.f64 R))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 (-.f64 lambda2 lambda1) R)
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) lambda2))
(.f64 lambda1 (.f64 (cos.f64 (*.f64 phi2 -1/2)) R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi2 -1/2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda2)))
(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 lambda1 (neg.f64 R)))
(.f64 (.f64 lambda1 (cos.f64 (*.f64 phi1 -1/2))) (neg.f64 R))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda1 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (-.f64 lambda2 lambda1) (.f64 (cos.f64 (*.f64 1/2 phi2)) R))
(.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2)))))
(.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 R))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 -1/2))) (+.f64 lambda2 (neg.f64 lambda1))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi1)))) (.f64 lambda2 (.f64 R (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) -1/2))))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 (*.f64 phi1 (-.f64 lambda2 lambda1))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (-.f64 lambda2 lambda1))) (.f64 (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))) (.f64 R -1/2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (-.f64 lambda2 lambda1))) (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) phi2)) (.f64 R -1/2)))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 lambda2 (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 R (sin.f64 (.f64 1/2 phi1))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 R (.f64 -1/8 (*.f64 R (pow.f64 phi2 2)))))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (-.f64 lambda2 lambda1)))) (.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 (-.f64 lambda2 lambda1) (.f64 -1/8 (*.f64 (pow.f64 phi2 2) (-.f64 lambda2 lambda1)))))))
(+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (-.f64 lambda2 lambda1))) (.f64 -1/2 R)) (.f64 R (.f64 (cos.f64 (.f64 phi1 -1/2)) (+.f64 (-.f64 lambda2 lambda1) (.f64 -1/8 (.f64 (pow.f64 phi2 2) (-.f64 lambda2 lambda1)))))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (/.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))))) (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 lambda1 lambda2) (/.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda1 lambda2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (neg.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))))) (/.f64 (.f64 (-.f64 lambda1 lambda2) (neg.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

Outputs

(*.f64 R (-.f64 phi2 phi1))

(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

(*.f64 R (-.f64 phi2 phi1))

Calls

9 calls:

198.0ms	R
161.0ms	phi1
83.0ms	phi2
83.0ms	(-.f64 lambda1 lambda2)
80.0ms	lambda2

Results

Error	Segments	Branch
19.6b	10	`R`
23.5b	3	`lambda1`
21.3b	4	`lambda2`
19.6b	7	`phi1`
18.8b	4	`phi2`
17.4b	3	`(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))`
17.4b	2	`(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))`
17.4b	2	`(+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))`
20.8b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1046 to 547 computations (47.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.712846005976398e+263	6.516724205711833e+283
0.0ms	-inf	-4.59286578653293e+307

Compiler

Compiled 45 to 28 computations (37.8% saved)

regimes864.0ms (3.9%)

Counts

48 → 4

Calls

Call 1

Inputs
(*.f64 R phi2)
(*.f64 lambda2 R)
(*.f64 R (neg.f64 lambda1))
(*.f64 R (neg.f64 phi1))
(*.f64 phi1 (neg.f64 R))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 (-.f64 lambda2 lambda1) R)
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) lambda2))
(.f64 lambda1 (.f64 (cos.f64 (*.f64 phi2 -1/2)) R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi2 -1/2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda2)))
(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 lambda1 (neg.f64 R)))
(.f64 (.f64 lambda1 (cos.f64 (*.f64 phi1 -1/2))) (neg.f64 R))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda1 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (-.f64 lambda2 lambda1) (.f64 (cos.f64 (*.f64 1/2 phi2)) R))
(.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2)))))
(.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 R))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 -1/2))) (+.f64 lambda2 (neg.f64 lambda1))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi1)))) (.f64 lambda2 (.f64 R (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) -1/2))))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 (*.f64 phi1 (-.f64 lambda2 lambda1))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (-.f64 lambda2 lambda1))) (.f64 (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))) (.f64 R -1/2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (-.f64 lambda2 lambda1))) (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) phi2)) (.f64 R -1/2)))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 lambda2 (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 R (sin.f64 (.f64 1/2 phi1))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 R (.f64 -1/8 (*.f64 R (pow.f64 phi2 2)))))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

Outputs
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(*.f64 R (-.f64 phi2 phi1))

Calls

6 calls:

261.0ms	phi1
184.0ms	R
146.0ms	lambda2
111.0ms	lambda1
75.0ms	phi2

Results

Error	Segments	Branch
19.6b	10	`R`
23.5b	3	`lambda1`
21.3b	4	`lambda2`
19.6b	7	`phi1`
18.8b	4	`phi2`
20.8b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 654 to 360 computations (45% saved)

bsearch113.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
42.0ms	1.4823981633507557e+109	6.980133515421116e+113
39.0ms	1.0655983355309775e-69	4.017275489730764e-64
32.0ms	-1.1757622204777429e-247	-2.5842144986834457e-251

Results

65.0ms	316×	body	256	valid
22.0ms	58×	body	512	valid
15.0ms	26×	body	1024	valid
4.0ms	9×	body	256	infinite

Compiler

Compiled 1292 to 853 computations (34% saved)

regimes1.0s (4.5%)

Counts

47 → 4

Calls

Call 1

Inputs
(*.f64 R phi2)
(*.f64 lambda2 R)
(*.f64 R (neg.f64 lambda1))
(*.f64 R (neg.f64 phi1))
(*.f64 phi1 (neg.f64 R))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 (-.f64 lambda2 lambda1) R)
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(+.f64 (.f64 lambda2 R) (.f64 -1 (*.f64 R lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) lambda2))
(.f64 lambda1 (.f64 (cos.f64 (*.f64 phi2 -1/2)) R))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 phi2 -1/2))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda2 R))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 phi1 -1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda2)))
(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 lambda1 (neg.f64 R)))
(.f64 (.f64 lambda1 (cos.f64 (*.f64 phi1 -1/2))) (neg.f64 R))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda1 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (-.f64 lambda2 lambda1)))
(.f64 (-.f64 lambda2 lambda1) (.f64 (cos.f64 (*.f64 1/2 phi2)) R))
(.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 lambda2 (.f64 R (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2)))))
(.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 R))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (+.f64 (.f64 -1/2 (.f64 lambda2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 -1/2))) (+.f64 lambda2 (neg.f64 lambda1))))
(+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi1)))) (.f64 lambda2 (.f64 R (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) -1/2))))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda2 lambda1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 (*.f64 phi1 (-.f64 lambda2 lambda1))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (-.f64 lambda2 lambda1))) (.f64 (.f64 lambda2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))) (.f64 R -1/2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R (-.f64 lambda2 lambda1))) (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda2 lambda1) phi2)) (.f64 R -1/2)))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 lambda2 (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 R (sin.f64 (.f64 1/2 phi1))))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 R (.f64 -1/8 (*.f64 R (pow.f64 phi2 2)))))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

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

Calls

6 calls:

312.0ms	phi1
218.0ms	R
157.0ms	(-.f64 lambda1 lambda2)
129.0ms	phi2
93.0ms	lambda1

Results

Error	Segments	Branch
19.8b	10	`R`
23.5b	3	`lambda1`
21.7b	4	`lambda2`
19.6b	7	`phi1`
19.0b	4	`phi2`
22.3b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 622 to 349 computations (43.9% saved)

bsearch111.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
43.0ms	1.4823981633507557e+109	6.980133515421116e+113
35.0ms	1.0655983355309775e-69	4.017275489730764e-64
33.0ms	-1.1757622204777429e-247	-2.5842144986834457e-251

Results

66.0ms	320×	body	256	valid
27.0ms	61×	body	512	valid
11.0ms	19×	body	1024	valid
1.0ms	5×	body	256	infinite

Compiler

Compiled 1173 to 802 computations (31.6% saved)

regimes698.0ms (3.1%)

Counts

44 → 7

Calls

Call 1

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

Outputs
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2))))
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)))
(*.f64 R phi2)
(.f64 (-.f64 lambda2 lambda1) (.f64 (cos.f64 (*.f64 1/2 phi2)) R))
(*.f64 R phi2)

Calls

6 calls:

300.0ms	R
142.0ms	phi1
70.0ms	phi2
67.0ms	lambda2
53.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
19.8b	10	`R`
23.5b	3	`lambda1`
21.8b	4	`lambda2`
19.6b	7	`phi1`
20.0b	3	`phi2`
22.3b	2	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 540 to 308 computations (43% saved)

bsearch303.0ms (1.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
36.0ms	1.6133896403275904e-230	1.0917513497134686e-225
103.0ms	-3.1128223002517886e-293	-3.386821529226419e-299
79.0ms	-2.3257023111691432e-270	-1.1777793314404678e-271
22.0ms	-6.458762820808151e-197	-1.186687369144517e-197
33.0ms	-8.262481319579542e-161	-1.1465510698731078e-164
29.0ms	-2.35336159001189e-79	-5.64634354053219e-81

Results

203.0ms	659×	body	256	valid
75.0ms	42×	body	1024	valid
15.0ms	35×	body	512	valid

Compiler

Compiled 1237 to 923 computations (25.4% saved)

regimes555.0ms (2.5%)

Counts

29 → 7

Calls

Call 1

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

Outputs
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2))))
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)))
(*.f64 R phi2)
(.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (*.f64 1/2 phi2))))
(*.f64 R phi2)

Calls

5 calls:

142.0ms	phi1
124.0ms	R
97.0ms	lambda1
93.0ms	lambda2
92.0ms	phi2

Results

Error	Segments	Branch
20.5b	10	`R`
23.7b	3	`lambda1`
23.5b	2	`lambda2`
19.6b	7	`phi1`
20.0b	3	`phi2`

Compiler

Compiled 258 to 143 computations (44.6% saved)

bsearch185.0ms (0.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
36.0ms	1.6133896403275904e-230	1.0917513497134686e-225
36.0ms	-3.1128223002517886e-293	-3.386821529226419e-299
28.0ms	-2.3257023111691432e-270	-1.1777793314404678e-271
24.0ms	-6.458762820808151e-197	-1.186687369144517e-197
30.0ms	-8.262481319579542e-161	-1.1465510698731078e-164
31.0ms	-2.35336159001189e-79	-5.64634354053219e-81

Results

138.0ms	672×	body	256	valid
20.0ms	28×	body	1024	valid
18.0ms	36×	body	512	valid

Compiler

Compiled 1237 to 923 computations (25.4% saved)

regimes262.0ms (1.2%)

Counts

24 → 3

Calls

Call 1

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

Outputs
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (-.f64 lambda2 lambda1)))
(*.f64 R (-.f64 phi2 phi1))

Calls

5 calls:

80.0ms	R
74.0ms	phi1
44.0ms	phi2
33.0ms	lambda1
24.0ms	lambda2

Results

Error	Segments	Branch
22.3b	8	`R`
24.0b	3	`lambda1`
23.5b	2	`lambda2`
20.4b	7	`phi1`
20.0b	3	`phi2`

Compiler

Compiled 208 to 119 computations (42.8% saved)

bsearch55.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	2.0339384615908186e-93	2.6357444606043922e-92
30.0ms	-1.1757622204777429e-247	-2.5842144986834457e-251

Results

41.0ms	201×	body	256	valid
6.0ms	10×	body	1024	valid
5.0ms	13×	body	512	valid

Compiler

Compiled 423 to 308 computations (27.2% saved)

regimes379.0ms (1.7%)

Counts

23 → 7

Calls

Call 1

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

Outputs
(*.f64 R (-.f64 phi2 phi1))
(*.f64 (-.f64 lambda2 lambda1) R)
(*.f64 R (-.f64 phi2 phi1))
(*.f64 (-.f64 lambda2 lambda1) R)
(*.f64 R phi2)
(*.f64 (-.f64 lambda2 lambda1) R)
(*.f64 R phi2)

Calls

5 calls:

132.0ms	lambda1
84.0ms	lambda2
68.0ms	phi1
60.0ms	R
31.0ms	phi2

Results

Error	Segments	Branch
23.5b	6	`R`
24.1b	3	`lambda1`
23.5b	2	`lambda2`
20.4b	7	`phi1`
20.7b	3	`phi2`

Compiler

Compiled 198 to 114 computations (42.4% saved)

bsearch275.0ms (1.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
37.0ms	1.6133896403275904e-230	1.0917513497134686e-225
34.0ms	-3.1128223002517886e-293	-3.386821529226419e-299
26.0ms	-2.3257023111691432e-270	-1.1777793314404678e-271
55.0ms	-6.458762820808151e-197	-1.186687369144517e-197
94.0ms	-1.1465510698731078e-164	-5.617219082638107e-167
28.0ms	-2.35336159001189e-79	-5.64634354053219e-81

Results

235.0ms	652×	body	256	valid
17.0ms	30×	body	1024	valid
15.0ms	38×	body	512	valid

Compiler

Compiled 985 to 723 computations (26.6% saved)

regimes107.0ms (0.5%)

Counts

6 → 3

Calls

Call 1

Inputs
(*.f64 R phi2)
(*.f64 lambda2 R)
(*.f64 R (neg.f64 lambda1))
(*.f64 R (neg.f64 phi1))
(*.f64 phi1 (neg.f64 R))
(*.f64 R (-.f64 phi2 phi1))

Outputs
(*.f64 R (-.f64 phi2 phi1))
(*.f64 lambda2 R)
(*.f64 R (-.f64 phi2 phi1))

Calls

5 calls:

65.0ms	phi2
13.0ms	lambda1
12.0ms	phi1
10.0ms	lambda2
5.0ms	R

Results

Error	Segments	Branch
26.8b	1	`R`
25.7b	2	`lambda1`
24.5b	2	`lambda2`
25.8b	3	`phi1`
24.1b	3	`phi2`

Compiler

Compiled 58 to 40 computations (31% saved)

bsearch110.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	5.349119342326694e-118	3.5952614982411545e-117
87.0ms	-1.1757622204777429e-247	-2.5842144986834457e-251

Results

65.0ms	15×	body	1024	valid
40.0ms	202×	body	256	valid
3.0ms	7×	body	512	valid

Compiler

Compiled 325 to 238 computations (26.8% saved)

regimes154.0ms (0.7%)

Counts

5 → 4

Calls

Call 1

Inputs
(*.f64 R phi2)
(*.f64 lambda2 R)
(*.f64 R (neg.f64 lambda1))
(*.f64 R (neg.f64 phi1))
(*.f64 phi1 (neg.f64 R))

Outputs
(*.f64 R (neg.f64 phi1))
(*.f64 lambda2 R)
(*.f64 R (neg.f64 phi1))
(*.f64 R phi2)

Calls

5 calls:

75.0ms	phi2
26.0ms	lambda1
20.0ms	R
19.0ms	lambda2
12.0ms	phi1

Results

Error	Segments	Branch
40.0b	5	`R`
34.0b	7	`lambda1`
37.5b	4	`lambda2`
30.3b	2	`phi1`
27.6b	4	`phi2`

Compiler

Compiled 53 to 38 computations (28.3% saved)

bsearch171.0ms (0.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
28.0ms	2.347983954274092e+36	8.544152187892687e+37
76.0ms	5.349119342326694e-118	3.5952614982411545e-117
66.0ms	-1.1757622204777429e-247	-2.5842144986834457e-251

Results

113.0ms	296×	body	256	valid
15.0ms	25×	body	1024	valid
6.0ms	15×	body	512	valid

Compiler

Compiled 444 to 343 computations (22.7% saved)

regimes58.0ms (0.3%)

Accuracy

Total -24.9b remaining (-67.1%)

Threshold costs -24.9b (-67.1%)

Counts

3 → 2

Calls

Call 1

Inputs
(*.f64 R phi2)
(*.f64 lambda2 R)
(*.f64 R (neg.f64 lambda1))

Outputs
(*.f64 lambda2 R)
(*.f64 R phi2)

Calls

5 calls:

17.0ms	phi1
15.0ms	lambda1
11.0ms	lambda2
9.0ms	phi2
3.0ms	R

Results

Error	Segments	Branch
45.0b	1	`R`
39.8b	5	`lambda1`
40.2b	3	`lambda2`
43.0b	5	`phi1`
37.1b	2	`phi2`

Compiler

Compiled 45 to 34 computations (24.4% saved)

bsearch31.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
31.0ms	4.17517654928733e-87	2.9469615641858724e-83

Results

22.0ms	115×	body	256	valid
5.0ms	9×	body	512	valid
2.0ms	4×	body	1024	valid

Compiler

Compiled 189 to 140 computations (25.9% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	1437

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) -inf.0) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) 500000000000000022070259451447643889643195698691290637281503086641722198041511804637241833845925416199409849438773805515698556484214352937342799866667017096235890326785935022607598869817624603345407231591885929026416516254957774801286987505083286521920239280586752) (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (*.f64 R (-.f64 phi2 phi1))))
(if (<=.f64 phi2 -5038209258419659/125955231460491477573475786427621032361709434041052227527609040505093074454480376118282617542185112928074454067529947442741953744769736656487116570106253523089501067161322852174933318537813768637901361681988522625958449433505907473287200188342818373796829838966784) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 2504221618884729/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 R (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1))))))) (if (<=.f64 phi2 15000000000000000770725480665856587966520668912093875330289415111807969157273990016751930615418100080294494208) (.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (*.f64 R (-.f64 phi2 phi1)))))
(if (<=.f64 phi2 -5804017065699447/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 8802718417897835/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (.f64 R (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1))))))) (if (<=.f64 phi2 15000000000000000770725480665856587966520668912093875330289415111807969157273990016751930615418100080294494208) (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (*.f64 R (-.f64 phi2 phi1)))))
(if (<=.f64 phi1 -5072969210312161/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -1750576880621669/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896) (.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))) (if (<=.f64 phi1 -4628919593362569/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -404468599105957/594806763391113225119224999259960224052504080663757783622308743726376262864161749418067325798462540235919489516077189220181834098217962283116332232440957850313188336178983949577074563933719094748095678312940574882427099482751152035262839576139463233204818042181657565129506139525873664) (.f64 R (.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1))) (if (<=.f64 phi1 -5572848718073179/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (.f64 R phi2) (if (<=.f64 phi1 3960267131976003/1707011694817242694164442058424641996069058130512872489061441999811593532881313810309486643423117898430190057111918909554147533223454557460573019149396692491800360340355587726966548041193424390330615044130786970107312831497593974090537952608256) (.f64 (-.f64 lambda2 lambda1) (.f64 (cos.f64 (.f64 1/2 phi2)) R)) (*.f64 R phi2)))))))
(if (<=.f64 phi1 -8276949764193527/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -4408860291936055/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))) (if (<=.f64 phi1 -2693189581592767/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -8755555557117187/38067632857031246407630399952637454339360261162480498151827759598488080823306351962756308851101602575098847329028940110091637382285949586119445262876221302420044053515454972772932772091758022063878123412028196792475334366896073730256821732872925646925108354699626084168288392929655914496) (.f64 R (.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1))) (if (<=.f64 phi1 -5572848718073179/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (.f64 R phi2) (if (<=.f64 phi1 7201455587510243/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504) (.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))) (*.f64 R phi2)))))))
(if (<=.f64 phi2 -6247379480440377/4030567406735727282351225165683873035574701889313671280883489296162978382543372035785043761349923613698382530160958318167742519832631573007587730243400112738864034149162331269597866193210040596412843573823632724030670381872189039145190406026970187961498554846937088) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 2788894317043927/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (.f64 R (.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1))) (*.f64 R (-.f64 phi2 phi1))))
(if (<=.f64 phi1 -7075457056488015/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -4149515568880993/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (.f64 (-.f64 lambda2 lambda1) R) (if (<=.f64 phi1 -8921190489026041/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -1308574879460449/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312) (.f64 (-.f64 lambda2 lambda1) R) (if (<=.f64 phi1 -1767204259295051/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944) (.f64 R phi2) (if (<=.f64 phi1 866841876274381/1667003608219963568519962947680314449286189580578977040099064452941009309454408017880358050217888572685732477648358310111472200413529841270090839013082707511523789394878503639615769571477953506182241254033971650495422687009369115322790969344) (.f64 (-.f64 lambda2 lambda1) R) (*.f64 R phi2)))))))
(if (<=.f64 phi2 -3148880786512287/251910462920982955146951572855242064723418868082104455055218081010186148908960752236565235084370225856148908135059894885483907489539473312974233140212507046179002134322645704349866637075627537275802723363977045251916898867011814946574400376685636747593659677933568) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 6586975938928937/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (.f64 lambda2 R) (*.f64 R (-.f64 phi2 phi1))))
(if (<=.f64 phi2 -1108406036852325/251910462920982955146951572855242064723418868082104455055218081010186148908960752236565235084370225856148908135059894885483907489539473312974233140212507046179002134322645704349866637075627537275802723363977045251916898867011814946574400376685636747593659677933568) (.f64 R (neg.f64 phi1)) (if (<=.f64 phi2 1739018432152575/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) (.f64 lambda2 R) (if (<=.f64 phi2 35999999999999999756255514388529676288) (.f64 R (neg.f64 phi1)) (.f64 R phi2))))
(if (<=.f64 phi2 3964391938669209/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) (.f64 lambda2 R) (.f64 R phi2))
(*.f64 R phi2)

Outputs
(if (<=.f64 (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) -inf.0) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) 500000000000000022070259451447643889643195698691290637281503086641722198041511804637241833845925416199409849438773805515698556484214352937342799866667017096235890326785935022607598869817624603345407231591885929026416516254957774801286987505083286521920239280586752) (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (*.f64 R (-.f64 phi2 phi1))))
(if (<=.f64 phi2 -5038209258419659/125955231460491477573475786427621032361709434041052227527609040505093074454480376118282617542185112928074454067529947442741953744769736656487116570106253523089501067161322852174933318537813768637901361681988522625958449433505907473287200188342818373796829838966784) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 2504221618884729/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 R (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1))))))) (if (<=.f64 phi2 15000000000000000770725480665856587966520668912093875330289415111807969157273990016751930615418100080294494208) (.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (*.f64 R (-.f64 phi2 phi1)))))
(if (<=.f64 phi2 -5804017065699447/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 8802718417897835/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (.f64 R (.f64 (-.f64 lambda2 lambda1) (+.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1))))))) (if (<=.f64 phi2 15000000000000000770725480665856587966520668912093875330289415111807969157273990016751930615418100080294494208) (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (*.f64 R (-.f64 phi2 phi1)))))
(if (<=.f64 phi1 -5072969210312161/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -1750576880621669/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896) (.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))) (if (<=.f64 phi1 -4628919593362569/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -404468599105957/594806763391113225119224999259960224052504080663757783622308743726376262864161749418067325798462540235919489516077189220181834098217962283116332232440957850313188336178983949577074563933719094748095678312940574882427099482751152035262839576139463233204818042181657565129506139525873664) (.f64 R (.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1))) (if (<=.f64 phi1 -5572848718073179/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (.f64 R phi2) (if (<=.f64 phi1 3960267131976003/1707011694817242694164442058424641996069058130512872489061441999811593532881313810309486643423117898430190057111918909554147533223454557460573019149396692491800360340355587726966548041193424390330615044130786970107312831497593974090537952608256) (.f64 (-.f64 lambda2 lambda1) (.f64 (cos.f64 (.f64 1/2 phi2)) R)) (*.f64 R phi2)))))))
(if (<=.f64 phi1 -8276949764193527/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -4408860291936055/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))) (if (<=.f64 phi1 -2693189581592767/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -8755555557117187/38067632857031246407630399952637454339360261162480498151827759598488080823306351962756308851101602575098847329028940110091637382285949586119445262876221302420044053515454972772932772091758022063878123412028196792475334366896073730256821732872925646925108354699626084168288392929655914496) (.f64 R (.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1))) (if (<=.f64 phi1 -5572848718073179/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (.f64 R phi2) (if (<=.f64 phi1 7201455587510243/26672057731519417096319407162885031188579033289263632641585031247056148951270528286085728803486217162971719642373732961783555206616477460321453424209323320184380630318056058233852313143647256098915860064543546407926762992149905845164655509504) (.f64 R (.f64 (-.f64 lambda2 lambda1) (cos.f64 (.f64 1/2 phi2)))) (*.f64 R phi2)))))))
(if (<=.f64 phi2 -6247379480440377/4030567406735727282351225165683873035574701889313671280883489296162978382543372035785043761349923613698382530160958318167742519832631573007587730243400112738864034149162331269597866193210040596412843573823632724030670381872189039145190406026970187961498554846937088) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 2788894317043927/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (.f64 R (.f64 (cos.f64 (.f64 phi1 -1/2)) (-.f64 lambda2 lambda1))) (*.f64 R (-.f64 phi2 phi1))))
(if (<=.f64 phi1 -7075457056488015/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -4149515568880993/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (.f64 (-.f64 lambda2 lambda1) R) (if (<=.f64 phi1 -8921190489026041/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -1308574879460449/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312) (.f64 (-.f64 lambda2 lambda1) R) (if (<=.f64 phi1 -1767204259295051/2945340432158418383223693624588738123559693482299075088767878449688292160397327779966295692450325070170031945807812908771881611572255401942922812303597144053805349165872996110766935565946816006053119311086960734516644260779498911850068592403100913453684334767056261910363295677456051671938422478104563288264146944) (.f64 R phi2) (if (<=.f64 phi1 866841876274381/1667003608219963568519962947680314449286189580578977040099064452941009309454408017880358050217888572685732477648358310111472200413529841270090839013082707511523789394878503639615769571477953506182241254033971650495422687009369115322790969344) (.f64 (-.f64 lambda2 lambda1) R) (*.f64 R phi2)))))))
(if (<=.f64 phi2 -3148880786512287/251910462920982955146951572855242064723418868082104455055218081010186148908960752236565235084370225856148908135059894885483907489539473312974233140212507046179002134322645704349866637075627537275802723363977045251916898867011814946574400376685636747593659677933568) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 6586975938928937/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (.f64 lambda2 R) (*.f64 R (-.f64 phi2 phi1))))
(if (<=.f64 phi2 -1108406036852325/251910462920982955146951572855242064723418868082104455055218081010186148908960752236565235084370225856148908135059894885483907489539473312974233140212507046179002134322645704349866637075627537275802723363977045251916898867011814946574400376685636747593659677933568) (.f64 R (neg.f64 phi1)) (if (<=.f64 phi2 1739018432152575/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) (.f64 lambda2 R) (if (<=.f64 phi2 35999999999999999756255514388529676288) (.f64 R (neg.f64 phi1)) (.f64 R phi2))))
(if (<=.f64 phi2 3964391938669209/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) (.f64 lambda2 R) (.f64 R phi2))
(*.f64 R phi2)

Compiler

Compiled 589 to 319 computations (45.8% saved)

soundness211.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

2022×	`rational.json-simplify-35`
1230×	`rational.json-simplify-51`
1190×	`rational.json-simplify-61`
1180×	`rational.json-simplify-59`
1062×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	97
1	34	97
2	69	97
3	188	97
4	1072	97
5	2988	97
6	7375	97
0	492	19868
1	1348	18258
2	3290	16900

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 165 to 77 computations (53.3% saved)

end182.0ms (0.8%)

Remove: (sort lambda1 lambda2)
Compiler: Compiled 1241 to 554 computations (55.4% saved)