Details

analyze1.4s (5.2%)

Algorithm

1×

Search

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

sample4.6s (17.5%)

Results

1.7s	6688×	body	256	valid
904.0ms	2723×	body	256	infinite
636.0ms	810×	body	1024	valid
582.0ms	462×	body	1024	infinite
557.0ms	753×	body	512	valid
140.0ms	368×	body	512	infinite
4.0ms	5×	body	2048	valid

Bogosity

preprocess74.0ms (0.3%)

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)

simplify96.0ms (0.4%)

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

34.8b

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.8b	(.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)))))
▶	34.8b	(.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

▶

34.8b

(*.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)))))

▶

34.8b

(*.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)

localize135.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))
✓	0.2b	(.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))))
✓	2.5b	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
✓	31.5b	(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)

series33.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Point	Expression
10.0ms	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))))
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	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))))
1.0ms	phi2	@	-inf	(.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))

rewrite100.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`bool.json-1`
1522×	`bool.json-2`
1482×	`rational.json-1`
1482×	`rational.json-2`
1482×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	212
1	190	212
2	506	212
3	1241	212
4	4040	212

Stop Event

1×	node limit

Counts

4 → 41

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

simplify277.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1064×	`rational.json-simplify-49`
826×	`rational.json-simplify-1`
788×	`rational.json-simplify-41`
786×	`rational.json-simplify-35`
682×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	460	19643
1	1195	18829
2	2711	17537
3	6739	17537

Stop Event

1×	node limit

Counts

209 → 331

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))))))
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(/.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 2 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) 2)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) 4) 4)
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) 4) (.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) 4)) 8)

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

localize127.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))
✓	0.3b	(.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
	2.5b	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
✓	31.5b	(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)

series13.0ms (0%)

Counts

3 → 144

Calls

36 calls:

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

rewrite334.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1214×	`rational.json-simplify-50`
820×	`rational.json-simplify-51`
792×	`rational.json-simplify-53`
634×	`rational.json-simplify-39`
498×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	183
1	180	183
2	492	183
3	1276	183
4	4880	183

Stop Event

1×	node limit

Counts

3 → 205

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

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

simplify363.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1768×	`rational.json-simplify-35`
1738×	`rational.json-simplify-49`
1368×	`rational.json-simplify-46`
1230×	`rational.json-simplify-2`
1020×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	817	45239
1	2822	41605

Stop Event

1×	node limit

Counts

349 → 514

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

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

eval1.3s (5%)

Compiler: Compiled 63223 to 34317 computations (45.7% saved)

prune412.0ms (1.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	993	18	1011
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	995	18	1013

Error

3.9b

Counts

1013 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	39.5b	(.f64 R (+.f64 (neg.f64 phi1) (+.f64 phi2 (.f64 -1/2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) 2) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1))))))
▶	29.6b	(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
	43.6b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1))))
	57.9b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
	57.4b	(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
	53.4b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
▶	51.8b	(.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
	40.3b	(.f64 R (sqrt.f64 (+.f64 (/.f64 (.f64 (-.f64 lambda1 lambda2) (.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 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)))))) (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.6b	(.f64 R (sqrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2)))) (neg.f64 phi1))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	36.6b	(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
▶	40.6b	(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 (.f64 lambda1 lambda2) -2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	34.8b	(.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)))))
	37.9b	(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (+.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (sin.f64 (.f64 phi2 1/2)) (.f64 -1/2 phi1)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.1b	(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	46.3b	(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (.f64 (-.f64 lambda1 lambda2) (.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))) (neg.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))))))) (/.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (.f64 (-.f64 lambda1 lambda2) (.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))) (neg.f64 (.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)))))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
▶	37.2b	(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	45.8b	(*.f64 R (neg.f64 phi1))
▶	46.1b	(*.f64 R phi2)

Compiler

Compiled 1262 to 764 computations (39.5% saved)

localize9.0ms (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)))

rewrite82.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`bool.json-1`
1468×	`bool.json-2`
1414×	`rational.json-1`
1414×	`rational.json-2`
1414×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	92	17
2	254	17
3	539	17
4	1163	17
5	2679	17
6	5619	17

Stop Event

1×	node limit

Counts

1 → 10

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 R (*.f64 (+.f64 phi2 (neg.f64 phi1)) 1/2)) (*.f64 R (*.f64 (+.f64 phi2 (neg.f64 phi1)) 1/2)))))) (#(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 R (*.f64 (+.f64 phi2 (neg.f64 phi1)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 R (+.f64 phi2 (neg.f64 phi1))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 R (+.f64 phi2 (neg.f64 phi1))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 R (+.f64 phi2 (neg.f64 phi1))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 R (+.f64 phi2 (neg.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 R (+.f64 phi2 (neg.f64 phi1))) (*.f64 R (+.f64 phi2 (neg.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 R (+.f64 phi2 (neg.f64 phi1))) (*.f64 R (+.f64 phi2 (neg.f64 phi1))))))))

simplify1.2s (4.7%)

Algorithm

1×	egg-herbie

Rules

5248×	`rational.json-simplify-35`
2588×	`rational.json-simplify-2`
1084×	`rational.json-simplify-53`
804×	`rational.json-simplify-43`
702×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	916
1	102	854
2	198	686
3	455	686
4	1926	686
5	3542	686
6	4323	686
7	4686	686
8	4869	686
9	5045	686
10	5217	686
11	5553	686
12	5554	686
13	5636	686
14	5778	686
15	5805	686
16	6016	686
17	6198	686
18	6370	686
19	6542	686
20	6714	686
21	6886	686
22	7058	686
23	7058	686
24	7152	686
25	7152	686
26	7324	686
27	7496	686
28	7668	686
29	7840	686

Stop Event

1×	node limit

Counts

46 → 21

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 R (.f64 (+.f64 phi2 (neg.f64 phi1)) 1/2)) (.f64 R (.f64 (+.f64 phi2 (neg.f64 phi1)) 1/2)))
(-.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 R (.f64 (+.f64 phi2 (neg.f64 phi1)) 4)) 4)
(/.f64 (.f64 (.f64 R (+.f64 phi2 (neg.f64 phi1))) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 R (+.f64 phi2 (neg.f64 phi1))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 R (+.f64 phi2 (neg.f64 phi1))) 8))) 32)

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 R (.f64 (+.f64 phi2 (neg.f64 phi1)) 1/2)) (.f64 R (.f64 (+.f64 phi2 (neg.f64 phi1)) 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 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 R (.f64 (+.f64 phi2 (neg.f64 phi1)) 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 (.f64 R (+.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 2 (.f64 (*.f64 R (+.f64 phi2 (neg.f64 phi1))) 8)) 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 2 (.f64 (.f64 R (+.f64 phi2 (neg.f64 phi1))) 8))) 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)))

localize4.0ms (0%)

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

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
✓	0.2b	(.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))
✓	2.5b	(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))

Compiler

Compiled 51 to 27 computations (47.1% saved)

series12.0ms (0%)

Counts

3 → 108

Calls

27 calls:

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

rewrite107.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1414×	`bool.json-1`
1414×	`bool.json-2`
1368×	`rational.json-1`
1368×	`rational.json-2`
1368×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	77
1	147	77
2	415	77
3	929	77
4	2066	77
5	4818	77

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

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

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 (*.f64 1/2 (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 (*.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 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 4))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (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))) (neg.f64 lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (neg.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) -1/2)) (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (neg.f64 lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (neg.f64 lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 lambda1 -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) lambda1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) -4)))) (*.f64 2 (*.f64 2 (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) -4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (neg.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (neg.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (neg.f64 lambda1)) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (neg.f64 lambda1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 lambda1 (*.f64 R (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) -1/2))) (*.f64 lambda1 (*.f64 R (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 lambda1 -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) -4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 R (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) -4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 R (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) -4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 R (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) -4))))) (*.f64 2 (*.f64 2 (*.f64 R (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) -4)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) R)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 R (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 lambda1 R)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) (*.f64 R (neg.f64 lambda1))))))))

simplify512.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2706×	`rational.json-simplify-2`
1694×	`rational.json-simplify-35`
1244×	`rational.json-simplify-48`
1122×	`rational.json-simplify-51`
942×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	216	5425
1	552	5361
2	1342	5187
3	2419	5049
4	4460	5049
5	5149	5049
6	5704	5049
7	6454	5049
8	7446	5049

Stop Event

1×	node limit

Counts

153 → 177

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

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

localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))))
	2.5b	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
✓	3.4b	(+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
✓	28.5b	(sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Compiler

Compiled 169 to 64 computations (62.1% saved)

series29.0ms (0.1%)

Counts

3 → 144

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	phi1	@	inf	(sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
3.0ms	lambda2	@	-inf	(sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
2.0ms	lambda1	@	inf	(sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.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 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
2.0ms	lambda1	@	0	(sqrt.f64 (+.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite79.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1662×	`bool.json-1`
1662×	`bool.json-2`
1622×	`rational.json-1`
1622×	`rational.json-2`
1622×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	223
1	222	223
2	591	223
3	1427	223
4	4481	223

Stop Event

1×	node limit

Counts

3 → 28

Calls

Call 1

Inputs

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

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

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

simplify466.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1212×	`rational.json-simplify-35`
1010×	`rational.json-simplify-38`
922×	`rational.json-simplify-41`
866×	`rational.json-simplify-1`
690×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	419	22774
1	1102	21686
2	2368	20272
3	3945	19724
4	6549	19724

Stop Event

1×	node limit

Counts

172 → 353

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

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) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 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 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 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 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 1/2)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2)) (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 phi2 1/2)) (.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) (.f64 (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
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(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 1/2)) (.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)) (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/2 (.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) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 1/2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8))) (pow.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2)) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2)))) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2)) (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (+.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.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 phi1 2) (-.f64 (+.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8))) (pow.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2)) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 1 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)) (pow.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 phi2 1/2)) (.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) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2)))) (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 phi2 -1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (*.f64 phi2 -2))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 (cos.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 -1/2 (.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 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi2))) (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) (pow.f64 phi1 3)) (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 -1/8 (.f64 (pow.f64 (cos.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 -1/2 (.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 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 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 (.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)) (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/2 (.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) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 1/2)) (+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 1/2))) (.f64 (.f64 (-.f64 (.f64 (sin.f64 (.f64 phi2 1/2)) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) 1/48)) (.f64 1/2 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2)) (/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)) (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/2 (.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) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2))) (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (pow.f64 phi1 3)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 1/2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8))) (pow.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2)) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2)))) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2)) (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 1/2 (.f64 (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) 1/48)) (.f64 1/2 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2)) (/.f64 (-.f64 (+.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8))) (pow.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2)) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2)) (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (.f64 (pow.f64 phi1 3) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (+.f64 (.f64 (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) 1/48)) (.f64 1/2 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2)) (/.f64 (-.f64 (+.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8))) (pow.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2)) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2)) (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (.f64 (pow.f64 phi1 3) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (+.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.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 phi1 2) (-.f64 (+.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8))) (pow.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2)) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) (+.f64 (.f64 (-.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) 1/48)) (.f64 1/2 (.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)) (pow.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 phi2 1/2)) (.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) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2))) (/.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 phi2 -1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2)) (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (pow.f64 phi1 3)) (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 1 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)) (pow.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 phi2 1/2)) (.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) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2)))) (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 phi2 -1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2)))))))
phi1
(+.f64 (*.f64 -1 phi2) phi1)
(+.f64 phi1 (*.f64 phi2 -1))
(+.f64 phi1 (neg.f64 phi2))
(+.f64 (.f64 -1 phi2) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (*.f64 -1 phi2) 2)) phi1)) phi1))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (-.f64 (pow.f64 phi2 2) (pow.f64 (.f64 phi2 -1) 2))) phi1)) (+.f64 phi1 (*.f64 phi2 -1)))
(+.f64 phi1 (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) (pow.f64 (neg.f64 phi2) 2))) phi1)) (neg.f64 phi2)))
(+.f64 phi1 (+.f64 (neg.f64 phi2) (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) (pow.f64 (neg.f64 phi2) 2))) phi1))))
(+.f64 (+.f64 phi1 (neg.f64 phi2)) (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) (pow.f64 (neg.f64 phi2) 2))) phi1)))
(+.f64 (.f64 -1 phi2) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 -1 phi2) 2)) phi1)) (+.f64 phi1 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 -1 phi2) 2)) phi2) (pow.f64 phi1 2))))))
(+.f64 (.f64 phi2 -1) (+.f64 phi1 (+.f64 (.f64 1/2 (.f64 phi2 (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (-.f64 (pow.f64 phi2 2) (pow.f64 (.f64 phi2 -1) 2))) (pow.f64 phi1 2)))) (.f64 1/2 (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (-.f64 (pow.f64 phi2 2) (pow.f64 (.f64 phi2 -1) 2))) phi1)))))
(+.f64 phi1 (+.f64 (.f64 1/2 (+.f64 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (pow.f64 (neg.f64 phi2) 2))) phi1) (.f64 phi2 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (pow.f64 (neg.f64 phi2) 2))) (pow.f64 phi1 2))))) (neg.f64 phi2)))
(+.f64 (.f64 1/2 (+.f64 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (pow.f64 (neg.f64 phi2) 2))) phi1) (.f64 phi2 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (pow.f64 (neg.f64 phi2) 2))) (pow.f64 phi1 2))))) (+.f64 phi1 (neg.f64 phi2)))
(+.f64 (.f64 1/2 (+.f64 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (pow.f64 (neg.f64 phi2) 2))) phi1) (.f64 phi2 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (pow.f64 (neg.f64 phi2) 2))) (pow.f64 phi1 2))))) (+.f64 phi1 (neg.f64 phi2)))
(*.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 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 (cos.f64 (*.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))) phi1))))
(+.f64 phi2 (+.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (/.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) phi1))) (*.f64 phi1 -1)))
(+.f64 (neg.f64 phi1) (+.f64 phi2 (.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (/.f64 (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) phi1)))))
(+.f64 (+.f64 phi2 (neg.f64 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (.f64 (cos.f64 (*.f64 phi2 -1/2)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1)))))
(+.f64 (.f64 -1 phi1) (+.f64 phi2 (+.f64 (.f64 -1/2 (/.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 phi2 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 phi1 2))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))) phi1)))))
(+.f64 phi2 (+.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (/.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) phi1))) (.f64 -1/2 (.f64 (.f64 phi2 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (/.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (pow.f64 phi1 2))))) (.f64 phi1 -1)))
(+.f64 phi2 (+.f64 (neg.f64 phi1) (.f64 -1/2 (+.f64 (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (cos.f64 (.f64 phi2 1/2)))) (/.f64 phi2 (pow.f64 phi1 2))) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (/.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) phi1))))))
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(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))))) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))))))) (+.f64 (.f64 (pow.f64 phi2 3) (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) 1/12)) (.f64 1/2 (.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4)) (pow.f64 (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 phi1 -2)) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))))) 2))) (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))) (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))))))))) (+.f64 (.f64 (pow.f64 phi2 2) (+.f64 1 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4)) (pow.f64 (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 phi1 -2)) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))))) 2)))) (.f64 phi2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 phi1 -2)))))))
phi2
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 phi2 (*.f64 phi1 -1))
(+.f64 phi2 (neg.f64 phi1))
(+.f64 (.f64 -1 phi1) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (*.f64 -1 phi1) 2)) phi2)) phi2))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (-.f64 (pow.f64 phi1 2) (pow.f64 (.f64 phi1 -1) 2))) phi2)) (+.f64 phi2 (*.f64 phi1 -1)))
(+.f64 phi2 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) (-.f64 (pow.f64 phi1 2) (pow.f64 (neg.f64 phi1) 2))) phi2)) (neg.f64 phi1)))
(+.f64 (neg.f64 phi1) (+.f64 phi2 (.f64 1/2 (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) (-.f64 (pow.f64 phi1 2) (pow.f64 (neg.f64 phi1) 2))) phi2))))
(+.f64 (+.f64 phi2 (neg.f64 phi1)) (.f64 1/2 (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) (-.f64 (pow.f64 phi1 2) (pow.f64 (neg.f64 phi1) 2))) phi2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 -1 phi1) 2)) phi1) (pow.f64 phi2 2))) (+.f64 (.f64 -1 phi1) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 -1 phi1) 2)) phi2)) phi2)))
(+.f64 (.f64 phi1 -1) (+.f64 (+.f64 phi2 (.f64 1/2 (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (-.f64 (pow.f64 phi1 2) (pow.f64 (.f64 phi1 -1) 2))) phi2))) (.f64 1/2 (.f64 phi1 (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (-.f64 (pow.f64 phi1 2) (pow.f64 (.f64 phi1 -1) 2))) (pow.f64 phi2 2))))))
(+.f64 (+.f64 phi2 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (-.f64 (pow.f64 phi1 2) (pow.f64 (neg.f64 phi1) 2))) phi2)) (neg.f64 phi1))) (.f64 1/2 (.f64 phi1 (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) (-.f64 (pow.f64 phi1 2) (pow.f64 (neg.f64 phi1) 2))) (pow.f64 phi2 2)))))
(+.f64 (+.f64 phi2 (.f64 1/2 (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (-.f64 (pow.f64 phi1 2) (pow.f64 (neg.f64 phi1) 2))) phi2))) (.f64 phi1 (+.f64 -1 (.f64 (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) (-.f64 (pow.f64 phi1 2) (pow.f64 (neg.f64 phi1) 2))) (pow.f64 phi2 2)) 1/2))))
(+.f64 (+.f64 phi2 (neg.f64 phi1)) (.f64 1/2 (+.f64 (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (-.f64 (pow.f64 phi1 2) (pow.f64 (neg.f64 phi1) 2))) phi2) (.f64 phi1 (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (-.f64 (pow.f64 phi1 2) (pow.f64 (neg.f64 phi1) 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 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))) phi2)) (*.f64 -1 phi2)))
(+.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (/.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 phi2 -1)))) phi2))) (+.f64 phi1 (*.f64 phi2 -1)))
(+.f64 phi1 (+.f64 (neg.f64 phi2) (.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (/.f64 (cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) phi2)))))
(+.f64 (+.f64 phi1 (neg.f64 phi2)) (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 -1/2)) (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))) phi2))))
(+.f64 phi1 (+.f64 (.f64 -1/2 (/.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))) phi2)) (+.f64 (.f64 -1 phi2) (.f64 -1/2 (/.f64 (.f64 phi1 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 phi2 2))))))
(+.f64 phi1 (+.f64 (.f64 phi2 -1) (+.f64 (.f64 -1/2 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 phi2 -1))))) (/.f64 phi1 (pow.f64 phi2 2)))) (.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (/.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 phi2 -1)))) phi2))))))
(+.f64 phi1 (+.f64 (neg.f64 phi2) (.f64 -1/2 (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (/.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) phi2)) (.f64 phi1 (/.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))) (pow.f64 phi2 2)))))))
(+.f64 phi1 (+.f64 (neg.f64 phi2) (.f64 -1/2 (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (/.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) phi2)) (.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2)))) phi1) (/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi2 2)))))))
(+.f64 phi1 (+.f64 (neg.f64 phi2) (.f64 -1/2 (+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))) phi2)) (.f64 (.f64 phi1 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))) (/.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi2 2)))))))
(sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))
(sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)))))
(sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (pow.f64 lambda2 2)))))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 phi2)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2))))) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (*.f64 phi2 1/2)) (pow.f64 lambda2 2)))))) -1)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2))))) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) lambda2)) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (pow.f64 lambda2 2))))) (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 -1/2)) lambda1))) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (pow.f64 lambda2 2)))))))))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))))) 2)) (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) (pow.f64 (-.f64 phi1 phi2) 2)))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 phi2))))))))
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(.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1)
(.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))
(.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))
(+.f64 (.f64 -1 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))))) (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 phi2)))) lambda1))
(+.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 lambda2 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) -1)))
(+.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 lambda2 (neg.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))
(.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda1 (neg.f64 lambda2)))
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(+.f64 (.f64 lambda2 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) -1)) (+.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 (/.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2))) (-.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) -1)) 2))) lambda1) (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))) 1/2))))
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(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda1 (neg.f64 lambda2))) (.f64 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2))) (pow.f64 (.f64 lambda2 (neg.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) 2))) lambda1) (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))))))
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(+.f64 (.f64 (/.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2))) (-.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) -1)) 2))) lambda1) (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 1/2)) (+.f64 (.f64 (.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2))) (-.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) -1)) 2))) (/.f64 lambda2 (pow.f64 lambda1 2))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 1/2)) (+.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 lambda2 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) -1)))))
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(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda1 (neg.f64 lambda2))) (+.f64 (.f64 1/2 (.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2))) (pow.f64 (.f64 lambda2 (neg.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) 2))) (.f64 (/.f64 lambda2 (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))) (.f64 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2))) (pow.f64 (.f64 lambda2 (neg.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) 2))) lambda1) (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))))))
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(.f64 -1 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 phi2)))) lambda1))
(.f64 -1 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))))
(.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1))
(.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1))
(+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) (.f64 -1 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 phi2)))) lambda1)))
(+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 -1 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))))
(.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) (pow.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) 2)) lambda1) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))) (.f64 -1 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1))))
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(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2))) (pow.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))) 2))) lambda1))))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1))) (.f64 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (pow.f64 lambda2 2))) (pow.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2))) lambda1) (.f64 -1/2 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 lambda2 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) (pow.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) 2))) (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))) (+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) (pow.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) 2)) lambda1) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))) (.f64 -1 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1)))))
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(.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))))
(.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))
(.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))
(+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) (.f64 -1 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 phi2)))) lambda1)))
(+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 -1 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))))
(.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1)))
(.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1)) 2)) lambda2) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))) (+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) (.f64 -1 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 phi2)))) lambda1))))
(+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (+.f64 (.f64 -1 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (.f64 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2))) (pow.f64 (.f64 -1 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) 2))) lambda2) (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))) 1/2))))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2))) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1)) 2))) lambda2))))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1))) (.f64 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (pow.f64 lambda1 2))) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1)) 2))) lambda2) (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1)) 2)) lambda2) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1)) 2)) lambda1) (pow.f64 lambda2 2)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))) (+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) (.f64 -1 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1)))))
(+.f64 (.f64 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2))) (pow.f64 (.f64 -1 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) 2))) lambda2) (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 1/2)) (+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (+.f64 (.f64 -1 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (.f64 (.f64 lambda1 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2))) (pow.f64 (.f64 -1 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) 2))) (pow.f64 lambda2 2))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 1/2)))))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2))) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1)) 2))) lambda2))) (.f64 1/2 (.f64 lambda1 (.f64 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2))) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1)) 2))) (pow.f64 lambda2 2)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))))))))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1))) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (+.f64 (.f64 lambda1 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2))) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1)) 2))) (pow.f64 lambda2 2))) (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2))) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1)) 2))) lambda2))))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (+.f64 (.f64 lambda1 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (pow.f64 lambda1 2))) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1)) 2))) (pow.f64 lambda2 2))) (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (pow.f64 lambda1 2))) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1)) 2))) lambda2)))))
(.f64 -1 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 phi2))))))
(.f64 lambda2 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) -1))
(.f64 lambda2 (neg.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))))
(.f64 lambda2 (neg.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))))
(+.f64 (.f64 -1 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))))) (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 phi2)))) lambda1))
(+.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 lambda2 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) -1)))
(+.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 lambda2 (neg.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))
(.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1) 2)) lambda2) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))) (+.f64 (.f64 -1 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))))) (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1)))
(+.f64 (.f64 lambda2 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) -1)) (+.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2)) lambda2) (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) -1/2))))
(+.f64 (+.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 lambda2 (neg.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))) 2)) lambda2))))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda1 (neg.f64 lambda2))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))) 2)) lambda2))))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda1 (neg.f64 lambda2))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (pow.f64 lambda1 2))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))) 2))) lambda2))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1) 2)) lambda2) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1) 2)) lambda1) (pow.f64 lambda2 2)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))) (+.f64 (.f64 -1 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))))) (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1))))
(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2)) lambda2) (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) -1/2)) (+.f64 (.f64 lambda2 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) -1)) (+.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 (.f64 lambda1 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2)) (pow.f64 lambda2 2))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) -1/2)))))
(+.f64 (.f64 lambda2 (neg.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (+.f64 (+.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2)) lambda2)))) (.f64 -1/2 (.f64 lambda1 (.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2)) (pow.f64 lambda2 2)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))))))))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda1 (neg.f64 lambda2))) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (+.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2)) lambda2) (.f64 lambda1 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2)) (pow.f64 lambda2 2))))))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda1 (neg.f64 lambda2))) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (+.f64 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (pow.f64 lambda1 2))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2))) lambda2) (.f64 lambda1 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (pow.f64 lambda1 2))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2))) (pow.f64 lambda2 2))))))
(+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(+.f64 (pow.f64 phi2 2) (+.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(+.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.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) (.f64 (pow.f64 (cos.f64 (*.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(+.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (*.f64 phi2 -2))))
(+.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 phi2 -1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (*.f64 phi2 -2))))
(+.f64 (pow.f64 phi2 2) (+.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.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 (pow.f64 phi1 2) (+.f64 1 (.f64 -1/8 (.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 phi2 2) (+.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (pow.f64 phi1 2) (+.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)))))))
(+.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 phi2 -1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2))) (+.f64 (pow.f64 phi2 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (pow.f64 phi1 2) (+.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)))))))
(+.f64 (pow.f64 phi2 2) (+.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.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 (pow.f64 phi1 2) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 1/48 (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (*.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
(+.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2))) (+.f64 (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 phi2 1/2)) (.f64 (.f64 (cos.f64 (*.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) 1/48))))) (pow.f64 phi2 2)))
(+.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.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) (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (sin.f64 (.f64 phi2 1/2)) (.f64 (.f64 (.f64 (cos.f64 (*.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 3)) 1/48))))))
(+.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2))) (+.f64 (.f64 (sin.f64 (.f64 phi2 1/2)) (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 3)) 1/48)) (+.f64 (pow.f64 phi2 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (pow.f64 phi1 2) (+.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8))))))))
(+.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 phi2 -1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2))) (+.f64 (.f64 (sin.f64 (.f64 phi2 1/2)) (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 3)) 1/48)) (+.f64 (pow.f64 phi2 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (pow.f64 phi1 2) (+.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8))))))))
(pow.f64 phi1 2)
(+.f64 (pow.f64 phi1 2) (.f64 -2 (.f64 phi1 phi2)))
(+.f64 (pow.f64 phi1 2) (.f64 phi1 (.f64 phi2 -2)))
(+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 -2 (.f64 phi1 phi2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 phi1 (.f64 phi2 -2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (pow.f64 phi2 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 -2 (.f64 phi1 phi2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 phi1 (.f64 phi2 -2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (pow.f64 phi2 2) (.f64 phi2 (.f64 phi1 -2)))))
(pow.f64 phi1 2)
(+.f64 (pow.f64 phi1 2) (.f64 -2 (.f64 phi1 phi2)))
(+.f64 (pow.f64 phi1 2) (.f64 phi1 (.f64 phi2 -2)))
(+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -2 (*.f64 phi1 phi2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))) (+.f64 (pow.f64 phi1 2) (.f64 phi1 (*.f64 phi2 -2)))))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (cos.f64 (.f64 phi2 1/2)))) (+.f64 (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2))) (pow.f64 phi2 2)))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (cos.f64 (.f64 phi2 1/2)))) (+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -2 (*.f64 phi1 phi2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))) (+.f64 (pow.f64 phi1 2) (.f64 phi1 (*.f64 phi2 -2)))))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (cos.f64 (.f64 phi2 1/2)))) (+.f64 (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2))) (pow.f64 phi2 2)))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (cos.f64 (.f64 phi2 1/2)))) (+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2))
(+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -2 phi1)) phi2) (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))) (.f64 phi2 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/2)) (*.f64 phi1 -2)))))
(+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))) (.f64 phi2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (*.f64 phi1 -2)))))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (*.f64 phi1 -2)))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -2 phi1)) phi2) (+.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) 1) (pow.f64 phi2 2)) (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(+.f64 (.f64 (pow.f64 phi2 2) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4)))) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))) (.f64 phi2 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/2)) (*.f64 phi1 -2))))))
(+.f64 (pow.f64 phi1 2) (+.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))) (.f64 phi2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 phi1 -2)))) (.f64 (pow.f64 phi2 2) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4))))))
(+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (pow.f64 phi2 2) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4)))) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))) (.f64 phi2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (*.f64 phi1 -2))))))
(+.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 phi2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 phi1 -2))) (.f64 (pow.f64 phi2 2) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -2 phi1)) phi2) (+.f64 (.f64 (+.f64 (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 1/16 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 phi2 3)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) 1) (pow.f64 phi2 2)) (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (.f64 (pow.f64 phi2 3) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) 1/16)) (.f64 1/48 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (.f64 (pow.f64 phi2 2) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4)))) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))) (.f64 phi2 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/2)) (.f64 phi1 -2)))))))
(+.f64 (.f64 phi2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 phi1 -2))) (+.f64 (+.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))) (.f64 (pow.f64 phi2 2) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4))))) (.f64 (pow.f64 phi2 3) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (*.f64 1/2 phi1))) 1/12))))
(+.f64 (pow.f64 phi1 2) (+.f64 (+.f64 (.f64 phi2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 phi1 -2))) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))) (.f64 (pow.f64 phi2 2) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4)))))) (.f64 (pow.f64 phi2 3) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (*.f64 1/2 phi1))) 1/12))))
(+.f64 (pow.f64 phi1 2) (+.f64 (+.f64 (.f64 phi2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 phi1 -2))) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))) (.f64 (pow.f64 phi2 2) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4)))))) (.f64 (pow.f64 phi2 3) (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) 1/12)))))
(pow.f64 phi2 2)
(+.f64 (pow.f64 phi2 2) (.f64 -2 (.f64 phi1 phi2)))
(+.f64 (pow.f64 phi2 2) (.f64 phi1 (.f64 phi2 -2)))
(+.f64 (pow.f64 phi2 2) (.f64 phi2 (.f64 phi1 -2)))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 -2 (.f64 phi1 phi2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 phi1 (.f64 phi2 -2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (pow.f64 phi2 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 -2 (.f64 phi1 phi2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 phi1 (.f64 phi2 -2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (pow.f64 phi2 2) (.f64 phi2 (.f64 phi1 -2)))))
(pow.f64 phi2 2)
(+.f64 (pow.f64 phi2 2) (.f64 -2 (.f64 phi1 phi2)))
(+.f64 (pow.f64 phi2 2) (.f64 phi1 (.f64 phi2 -2)))
(+.f64 (pow.f64 phi2 2) (.f64 phi2 (.f64 phi1 -2)))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 -2 (.f64 phi1 phi2)) (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (pow.f64 phi2 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))) (+.f64 (pow.f64 phi1 2) (.f64 phi1 (*.f64 phi2 -2)))))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (cos.f64 (.f64 phi2 1/2)))) (+.f64 (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2))) (pow.f64 phi2 2)))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (cos.f64 (.f64 phi2 1/2)))) (+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 -2 (.f64 phi1 phi2)) (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (pow.f64 phi2 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))) (+.f64 (pow.f64 phi1 2) (.f64 phi1 (*.f64 phi2 -2)))))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (cos.f64 (.f64 phi2 1/2)))) (+.f64 (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2))) (pow.f64 phi2 2)))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) (cos.f64 (.f64 phi2 1/2)))) (+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) (pow.f64 (-.f64 phi1 phi2) 2))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (pow.f64 lambda2 2))))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))) (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2))) (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2))))
(+.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)))) (.f64 -2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) lambda2))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2))))
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(/.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4) (.f64 (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4)) 8)
(sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) 0)
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(.f64 2 (/.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) 2))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) 1)
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(.f64 1 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(.f64 (.f64 2 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1/2)
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(/.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) 1)
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(/.f64 (.f64 2 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 2)
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(/.f64 (.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) 4) 4)
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) 4) (.f64 (+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) 4)) 8)
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) 0)
(.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (.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 (cos.f64 (.f64 phi2 1/2)) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (.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 (cos.f64 (.f64 phi2 1/2)) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) 0)
(.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (.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 (cos.f64 (.f64 phi2 1/2)) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) 1)
(.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (.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 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))))) 2)
(.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (.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)) (cos.f64 (.f64 phi2 1/2))) (/.f64 1 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (/.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (/.f64 1 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (/.f64 (-.f64 lambda1 lambda2) (/.f64 (/.f64 1 (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (/.f64 (-.f64 lambda1 lambda2) (/.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (/.f64 (-.f64 lambda1 lambda2) (/.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))) (-.f64 lambda1 lambda2))))
(/.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) 4) 4)
(.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))))
(/.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) 4) (.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) 4)) 8)
(.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))))

localize57.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 (.f64 lambda1 lambda2) -2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
✓	1.9b	(+.f64 (pow.f64 lambda1 2) (.f64 (.f64 lambda1 lambda2) -2))
	2.5b	(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
✓	28.1b	(sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 (.f64 lambda1 lambda2) -2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Compiler

Compiled 165 to 81 computations (50.9% saved)

series18.0ms (0.1%)

Counts

3 → 112

Calls

30 calls:

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

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`rational.json-simplify-35`
1088×	`bool.json-1`
1088×	`bool.json-2`
1062×	`rational.json-1`
1062×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	183
1	222	183
2	523	183
3	1135	183
4	3079	183

Stop Event

1×	node limit

Counts

3 → 38

Calls

Call 1

Inputs

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

(+.f64 (pow.f64 lambda1 2) (*.f64 (*.f64 lambda1 lambda2) -2))

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

Outputs

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

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

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

simplify216.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1306×	`rational.json-simplify-43`
1152×	`rational.json-simplify-35`
948×	`rational.json-simplify-51`
942×	`rational.json-simplify-2`
722×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	396	15314
1	962	14944
2	1964	14024
3	4459	13732
4	6688	13732

Stop Event

1×	node limit

Counts

150 → 289

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))))))
(+.f64 (.f64 1/2 (.f64 (.f64 phi2 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 phi1))))) (.f64 -2 phi1))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))))))))) (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (*.f64 lambda2 lambda1)))))))
(+.f64 (.f64 1/2 (.f64 (.f64 phi2 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 phi1))))) (.f64 -2 phi1))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))))))))) (+.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))) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))) (pow.f64 phi1 2)))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 phi1))))) (.f64 -2 phi1)))) 2)) (pow.f64 phi2 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))) (pow.f64 phi1 2)))))) (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (*.f64 lambda2 lambda1))))))))
(+.f64 (.f64 1/2 (.f64 (.f64 phi2 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 phi1))))) (.f64 -2 phi1))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))))))))) (+.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))) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))) (pow.f64 phi1 2)))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 phi1))))) (.f64 -2 phi1)))) 2)) (pow.f64 phi2 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))) (pow.f64 phi1 2)))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))))) (.f64 1/2 (.f64 (.f64 (-.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))))) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))) (.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))) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))))))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 phi1))))) (.f64 -2 phi1)))) 2)) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 phi1))))) (.f64 -2 phi1))) (sqrt.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))) (pow.f64 phi1 2)))))))) (pow.f64 phi2 3)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))) (pow.f64 phi1 2)))))))))
phi2
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 (.f64 -1 phi1) (+.f64 phi2 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))) (pow.f64 (*.f64 -1 phi1) 2)) phi2))))
(+.f64 (.f64 -1 phi1) (+.f64 phi2 (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (.f64 1/2 (/.f64 (.f64 phi1 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))) (pow.f64 (.f64 -1 phi1) 2))) (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 (-.f64 phi1 (.f64 -1 phi2)))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))) phi2)) (*.f64 -1 phi2)))
(+.f64 phi1 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))) phi2)) (+.f64 (.f64 -1 phi2) (.f64 -1/2 (/.f64 (.f64 phi1 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))))) (pow.f64 phi2 2))))))
(sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 1/2 (.f64 (.f64 phi1 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (cos.f64 (.f64 1/2 phi2))))) (.f64 -2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))))) (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))))
(+.f64 (.f64 1/2 (.f64 (.f64 phi1 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (cos.f64 (.f64 1/2 phi2))))) (.f64 -2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 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))) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (cos.f64 (.f64 1/2 phi2))))) (.f64 -2 phi2)))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))))) (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))))
(+.f64 (.f64 1/2 (.f64 (.f64 phi1 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (cos.f64 (.f64 1/2 phi2))))) (.f64 -2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.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))))) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))) (.f64 1/2 (/.f64 (.f64 (-.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))) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (cos.f64 (.f64 1/2 phi2))))) (.f64 -2 phi2)))) 2)) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (cos.f64 (.f64 1/2 phi2))))) (.f64 -2 phi2))) (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))))) (pow.f64 phi1 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 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))) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (cos.f64 (.f64 1/2 phi2))))) (.f64 -2 phi2)))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))))) (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))))))
phi1
(+.f64 (*.f64 -1 phi2) phi1)
(+.f64 (.f64 -1 phi2) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))) (pow.f64 (*.f64 -1 phi2) 2)) phi1)) phi1))
(+.f64 (.f64 -1 phi2) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))) (pow.f64 (.f64 -1 phi2) 2)) phi1)) (+.f64 phi1 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))) (pow.f64 (.f64 -1 phi2) 2)) phi2) (pow.f64 phi1 2))))))
(*.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) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))) 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) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))) phi1)) (+.f64 (.f64 -1 phi1) (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) 2) (.f64 phi2 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))))) (pow.f64 phi1 2))))))
(-.f64 phi1 phi2)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)) (-.f64 phi1 phi2))) phi1) phi2)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)) (-.f64 phi1 phi2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 -1 (/.f64 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (-.f64 phi1 phi2))) 2)) (pow.f64 lambda1 2)) (-.f64 phi1 phi2))) phi1)) phi2)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 lambda2 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 -1 (/.f64 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (-.f64 phi1 phi2))) 2)) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 3)))) (pow.f64 (-.f64 phi1 phi2) 3))) (+.f64 (.f64 -1 (/.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)) (-.f64 phi1 phi2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 -1 (/.f64 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)) (-.f64 phi1 phi2))) 2)) (pow.f64 lambda1 2)) (-.f64 phi1 phi2))) phi1))) phi2)
(.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 (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 (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 (.f64 1/2 (/.f64 (-.f64 (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 -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 -1/2 (/.f64 (-.f64 (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 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))))
(+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (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 -1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)) (.f64 -1/2 (/.f64 (.f64 lambda2 (-.f64 (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)))))))
(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 (.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 -1/2 (.f64 (.f64 (pow.f64 lambda2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 4) (pow.f64 lambda1 2))) (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 (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 (pow.f64 lambda2 3) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 6) (pow.f64 lambda1 3))) (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)) 5))))) (+.f64 (.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 -1/2 (.f64 (.f64 (pow.f64 lambda2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 4) (pow.f64 lambda1 2))) (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 -2 (.f64 lambda2 lambda1))
(+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))
(+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))
(+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))
(pow.f64 lambda1 2)
(+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))
(+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))
(+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))
(pow.f64 lambda1 2)
(+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))
(+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))
(+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))
(pow.f64 lambda1 2)
(+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))
(+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))
(+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))
(.f64 -2 (.f64 lambda2 lambda1))
(+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))
(+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))
(+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))
(.f64 -2 (.f64 lambda2 lambda1))
(+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))
(+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))
(+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))) (pow.f64 phi1 2))
(+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))) (.f64 phi2 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 phi1))))) (*.f64 -2 phi1)))))
(+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))) (+.f64 (.f64 phi2 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 phi1))))) (.f64 -2 phi1))) (.f64 (+.f64 (.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))) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (*.f64 lambda2 lambda1)))) 1) (pow.f64 phi2 2)))))
(+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))) (+.f64 (.f64 phi2 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (sin.f64 (.f64 1/2 phi1))))) (.f64 -2 phi1))) (+.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))))) (.f64 (pow.f64 phi2 3) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))))) (.f64 (+.f64 (.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))) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (*.f64 lambda2 lambda1)))) 1) (pow.f64 phi2 2))))))
(pow.f64 phi2 2)
(+.f64 (pow.f64 phi2 2) (.f64 -2 (.f64 phi1 phi2)))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (.f64 -2 (.f64 phi1 phi2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (.f64 -2 (.f64 phi1 phi2)))))
(pow.f64 phi2 2)
(+.f64 (pow.f64 phi2 2) (.f64 -2 (.f64 phi1 phi2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))) (+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (.f64 -2 (*.f64 phi1 phi2)))))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))) (+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (.f64 -2 (*.f64 phi1 phi2)))))
(+.f64 (pow.f64 phi2 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))
(+.f64 (.f64 phi1 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (cos.f64 (.f64 1/2 phi2))))) (.f64 -2 phi2))) (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))
(+.f64 (.f64 phi1 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (cos.f64 (.f64 1/2 phi2))))) (.f64 -2 phi2))) (+.f64 (pow.f64 phi2 2) (+.f64 (.f64 (pow.f64 phi1 2) (+.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))) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))))) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))))
(+.f64 (.f64 phi1 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (cos.f64 (.f64 1/2 phi2))))) (.f64 -2 phi2))) (+.f64 (pow.f64 phi2 2) (+.f64 (.f64 (pow.f64 phi1 2) (+.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))) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1)))))) (+.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))))) (.f64 (pow.f64 phi1 3) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))))) (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))))
(pow.f64 phi1 2)
(+.f64 (pow.f64 phi1 2) (.f64 -2 (.f64 phi1 phi2)))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (.f64 -2 (.f64 phi1 phi2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 -2 (.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (.f64 -2 (.f64 phi1 phi2)))))
(pow.f64 phi1 2)
(+.f64 (pow.f64 phi1 2) (.f64 -2 (.f64 phi1 phi2)))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 -2 (.f64 phi1 phi2)) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (*.f64 lambda2 lambda1)))))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 -2 (.f64 phi1 phi2)) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 -2 (*.f64 lambda2 lambda1)))))))
(pow.f64 (-.f64 phi1 phi2) 2)
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1))) (pow.f64 (-.f64 phi1 phi2) 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)) (pow.f64 (-.f64 phi1 phi2) 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)) (pow.f64 (-.f64 phi1 phi2) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 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 (.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)) (pow.f64 (-.f64 phi1 phi2) 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)) (pow.f64 (-.f64 phi1 phi2) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 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 (.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)) (pow.f64 (-.f64 phi1 phi2) 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)) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.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 -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)) (pow.f64 (-.f64 phi1 phi2) 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)) (pow.f64 (-.f64 phi1 phi2) 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)) (pow.f64 (-.f64 phi1 phi2) 2)))
(.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 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1))) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1))) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1))) (pow.f64 (-.f64 phi1 phi2) 2)))
(.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 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1))) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1))) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1))) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(-.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)
(.f64 1/2 (.f64 2 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))))
(.f64 2 (/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 2))
(.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)
(.f64 1 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 (.f64 2 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) 1/2)
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 2) 2)
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)
(/.f64 (.f64 2 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4)) (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4))) 16)
(-.f64 (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2))) 0)
(.f64 1/2 (.f64 2 (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))))
(.f64 2 (/.f64 (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (*.f64 lambda2 -2))) 2))
(.f64 (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (*.f64 lambda2 -2))) 1)
(.f64 1 (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (*.f64 lambda2 -2))))
(.f64 (.f64 2 (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) 1/2)
(.f64 (/.f64 (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (*.f64 lambda2 -2))) 2) 2)
(/.f64 (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2))) 1)
(/.f64 (.f64 2 (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (*.f64 lambda2 -2)))) 2)
(/.f64 (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (*.f64 lambda2 -2))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2))) 4)) (.f64 2 (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2))) 4))) 16)
(-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) 0)
(.f64 1/2 (.f64 2 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 2 (/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) 2))
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) 1)
(.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(.f64 (.f64 2 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1/2)
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) 2) 2)
(/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 2)
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) 4)) (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 lambda2 -2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) 4))) 16)

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

eval780.0ms (3%)

Compiler: Compiled 48893 to 32329 computations (33.9% saved)

prune282.0ms (1.1%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	921	15	936
Fresh	3	10	13
Picked	1	0	1
Done	3	1	4
Total	928	26	954

Error

3.8b

Counts

954 → 26

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.6b	(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
	53.0b	(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (neg.f64 lambda1)))
	53.2b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda1 (neg.f64 R)))
▶	45.8b	(*.f64 phi1 (neg.f64 R))
	51.8b	(.f64 lambda1 (.f64 (cos.f64 (*.f64 (+.f64 phi1 phi2) -1/2)) (neg.f64 R)))
	29.6b	(*.f64 R (-.f64 phi2 phi1))
▶	39.5b	(.f64 R (+.f64 (neg.f64 phi1) (+.f64 phi2 (.f64 -1/2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) 2) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1))))))
	52.1b	(.f64 R (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1)))
	43.6b	(.f64 R (.f64 (cos.f64 (*.f64 (+.f64 phi1 phi2) -1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
▶	57.9b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
	53.2b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda1)))
	57.4b	(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
	53.4b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
	40.3b	(.f64 R (sqrt.f64 (+.f64 (/.f64 (.f64 (-.f64 lambda1 lambda2) (.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 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)))))) (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.2b	(.f64 R (sqrt.f64 (+.f64 (/.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 phi2 1/2))) (/.f64 1 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.6b	(.f64 R (sqrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2)))) (neg.f64 phi1))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
▶	36.6b	(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	39.0b	(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.7b	(.f64 R (sqrt.f64 (+.f64 (.f64 (+.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (sin.f64 (.f64 phi2 1/2)) (.f64 -1/2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.9b	(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (+.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (sin.f64 (.f64 phi2 1/2)) (.f64 -1/2 phi1)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.1b	(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	46.3b	(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (.f64 (-.f64 lambda1 lambda2) (.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))) (neg.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))))))) (/.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (.f64 (-.f64 lambda1 lambda2) (.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))) (neg.f64 (.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)))))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	36.9b	(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	39.4b	(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	55.3b	(.f64 R (sqrt.f64 (.f64 (+.f64 (pow.f64 lambda1 2) (.f64 lambda1 (.f64 -2 lambda2))) (pow.f64 (cos.f64 (*.f64 (+.f64 phi1 phi2) -1/2)) 2))))
✓	46.1b	(*.f64 R phi2)

Compiler

Compiled 1588 to 998 computations (37.2% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 9 computations (64% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	R	@	0	(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
1.0ms	R	@	inf	(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
0.0ms	phi1	@	0	(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
0.0ms	phi2	@	0	(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
0.0ms	phi1	@	inf	(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))

rewrite89.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1574×	`bool.json-1`
1574×	`bool.json-2`
1528×	`rational.json-1`
1528×	`rational.json-2`
1528×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	102	17
2	280	17
3	620	17
4	1352	17
5	3144	17
6	6174	17

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (+.f64 (neg.f64 phi1) phi2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 R (+.f64 (neg.f64 phi1) phi2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 R (+.f64 (neg.f64 phi1) phi2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 R (+.f64 (neg.f64 phi1) phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (neg.f64 phi1) phi2) (*.f64 R 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 R R) (*.f64 (+.f64 (neg.f64 phi1) phi2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 R R) (/.f64 (+.f64 (neg.f64 phi1) phi2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 R R) (+.f64 (neg.f64 phi1) phi2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 phi1) phi2) R)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 R (+.f64 (neg.f64 phi1) phi2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (neg.f64 phi1) phi2) (*.f64 R 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (neg.f64 phi1) phi2)) (*.f64 R 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 R R) (+.f64 (neg.f64 phi1) phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 R 1/2) (*.f64 2 (+.f64 (neg.f64 phi1) phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (neg.f64 phi1) phi2) (*.f64 R 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (neg.f64 phi1) phi2) 1/2) (+.f64 R R))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (neg.f64 phi1) phi2) (*.f64 R 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (neg.f64 phi1) phi2) 2) (+.f64 R R))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 R (+.f64 (neg.f64 phi1) phi2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (+.f64 (neg.f64 phi1) phi2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 R R) (+.f64 (neg.f64 phi1) phi2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (neg.f64 phi1) phi2) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (neg.f64 phi1) phi2) (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (neg.f64 phi1) phi2) (*.f64 R 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (neg.f64 phi1) phi2) (*.f64 R 4)))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (neg.f64 phi1) phi2) (*.f64 R 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 R (+.f64 (neg.f64 phi1) phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 R (+.f64 (neg.f64 phi1) phi2)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 R (+.f64 (neg.f64 phi1) phi2)) (*.f64 R (+.f64 (neg.f64 phi1) phi2)))))))

simplify629.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3024×	`rational.json-simplify-35`
2458×	`rational.json-simplify-53`
1814×	`rational.json-simplify-2`
1318×	`rational.json-simplify-51`
1140×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	68	1027
1	142	1005
2	286	1005
3	718	1005
4	1948	1005
5	3927	1005
6	4852	1005
7	4979	1005
8	5077	1005
9	5171	1005
10	5265	1005
11	5359	1005
12	5508	1005
13	5602	1005
14	5696	1005
15	5790	1005
16	5790	1005
17	5790	1005
18	6706	1005
19	7473	1005
20	7569	1005
21	7663	1005
22	7757	1005
23	7851	1005
24	7945	1005

Stop Event

1×	node limit

Counts

61 → 37

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
✓	0.2b	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)
✓	2.5b	(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))

Compiler

Compiled 42 to 21 computations (50% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

27 calls:

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

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1722×	`bool.json-1`
1722×	`bool.json-2`
1676×	`rational.json-1`
1088×	`rational.json-simplify-2`
1054×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	130	69
2	342	69
3	738	69
4	1571	69
5	3672	69
6	6942	69

Stop Event

1×	node limit

Counts

3 → 40

Calls

Call 1

Inputs
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)
(.f64 R (.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 (*.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 2)))) (#(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 (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 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (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 (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 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 4)))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1) (*.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 lambda1 R)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 R)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 R))) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 R))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 R)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 R)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 (+.f64 R R))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 (*.f64 lambda1 R) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 (*.f64 lambda1 R) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 (*.f64 lambda1 R) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 (*.f64 lambda1 R) 4)))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 (*.f64 lambda1 R) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 R))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 R)) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 R)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 R)) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 R)))))))

simplify228.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2258×	`rational.json-simplify-1`
2120×	`rational.json-simplify-2`
1658×	`rational.json-simplify-35`
1252×	`rational.json-simplify-51`
1048×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	3296
1	471	3248
2	1212	3084
3	2210	2952
4	3615	2952
5	4122	2952
6	4426	2952
7	4923	2952
8	6338	2952
9	7641	2952
10	7970	2952

Stop Event

1×	node limit

Counts

88 → 164

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 (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 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 (+.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 (.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 2)
(.f64 1/4 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4))
(.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 2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 4))) (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 4)))) 32)
(+.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 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 lambda1 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 lambda1 4)))) (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 lambda1 4))))) 32)
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 R)) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 R)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 lambda1 R))) (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 lambda1 R))))
(-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 R)) 0)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 R)) 1)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 (+.f64 R R))) 2)
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (.f64 lambda1 R) 4)) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (*.f64 lambda1 R) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (.f64 lambda1 R) 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (.f64 lambda1 R) 4)))) (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (.f64 lambda1 R) 4))))) 32)

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

localize54.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) 2)
✓	2.5b	(cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))
✓	5.7b	(/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1)
✓	6.6b	(.f64 R (+.f64 (neg.f64 phi1) (+.f64 phi2 (.f64 -1/2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) 2) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1))))))

Compiler

Compiled 163 to 85 computations (47.9% saved)

series29.0ms (0.1%)

Counts

4 → 132

Calls

36 calls:

Time	Variable		Point	Expression
14.0ms	phi1	@	-inf	(/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1)
2.0ms	R	@	0	(.f64 R (+.f64 (neg.f64 phi1) (+.f64 phi2 (.f64 -1/2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) 2) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1))))))
1.0ms	phi2	@	0	(.f64 R (+.f64 (neg.f64 phi1) (+.f64 phi2 (.f64 -1/2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) 2) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1))))))
1.0ms	phi1	@	0	(.f64 R (+.f64 (neg.f64 phi1) (+.f64 phi2 (.f64 -1/2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) 2) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1))))))
1.0ms	lambda1	@	0	(.f64 R (+.f64 (neg.f64 phi1) (+.f64 phi2 (.f64 -1/2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) 2) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1))))))

rewrite75.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1242×	`rational.json-simplify-35`
1182×	`bool.json-1`
1182×	`bool.json-2`
1152×	`rational.json-1`
1152×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	146
1	240	146
2	617	146
3	1391	134
4	3541	134

Stop Event

1×	node limit

Counts

4 → 60

Calls

Call 1

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

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

simplify213.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1128×	`rational.json-simplify-43`
1062×	`rational.json-simplify-51`
1002×	`rational.json-simplify-2`
908×	`rational.json-simplify-35`
906×	`rational.json-simplify-61`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	328	11088
1	782	10840
2	1599	10780
3	3454	10530
4	6158	10510
5	7510	10510

Stop Event

1×	node limit

Counts

192 → 284

Calls

Call 1

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

Outputs
(.f64 (-.f64 (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))) phi1) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) phi1))) (-.f64 phi2 phi1)) R)
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (.f64 -1/2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1))) (-.f64 phi2 phi1)) R)
(.f64 (-.f64 (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))) phi1) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) phi1))) (-.f64 phi2 phi1)) R)
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (.f64 -1/2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1))) (-.f64 phi2 phi1)) R)
(.f64 (-.f64 (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))) phi1) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) phi1))) (-.f64 phi2 phi1)) R)
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (.f64 -1/2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1))) (-.f64 phi2 phi1)) R)
(.f64 (-.f64 (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))) phi1) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) phi1))) (-.f64 phi2 phi1)) R)
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (.f64 -1/2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1))) (-.f64 phi2 phi1)) R)
(.f64 (-.f64 (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))) phi1) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) phi1))) (-.f64 phi2 phi1)) R)
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (.f64 -1/2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1))) (-.f64 phi2 phi1)) R)
(.f64 (-.f64 (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))) phi1) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) phi1))) (-.f64 phi2 phi1)) R)
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (.f64 -1/2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1))) (-.f64 phi2 phi1)) R)
(.f64 (-.f64 (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))) phi1) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) phi1))) (-.f64 phi2 phi1)) R)
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (.f64 -1/2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1))) (-.f64 phi2 phi1)) R)
(.f64 (-.f64 (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))) phi1) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) phi1))) (-.f64 phi2 phi1)) R)
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (.f64 -1/2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1))) (-.f64 phi2 phi1)) R)
(.f64 (-.f64 (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))) phi1) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) phi1))) (-.f64 phi2 phi1)) R)
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (.f64 -1/2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1))) (-.f64 phi2 phi1)) R)
(.f64 (-.f64 (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))) phi1) R)
(.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) phi1))) (-.f64 phi2 phi1)) R)
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) 2) (.f64 -1/2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1))) (-.f64 phi2 phi1)) R)
(.f64 (-.f64 (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))) phi1) R)
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(/.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 1)
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) 2)
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(/.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 4) 4)
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(/.f64 (.f64 2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4)) 8)
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 4)) (.f64 2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 4))) 16)
(cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))
(+.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) 0)
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2)
(+.f64 0 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2))
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2)
(-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) 0)
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2)
(.f64 1/2 (.f64 2 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)))
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2)
(.f64 2 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) 2))
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2)
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) 1)
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2)
(.f64 1 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2)
(.f64 (.f64 2 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)) 1/2)
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2)
(.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) 2) 2)
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2)
(/.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) 1)
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2)
(/.f64 (.f64 2 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) 2)
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2)
(/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) 4) 4)
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) 4)) 8)
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) 4)) (.f64 2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) 4))) 16)
(pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))) 2)

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
✓	0.1b	(.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2))
✓	0.2b	(pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)
✓	31.5b	(sqrt.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Compiler

Compiled 119 to 60 computations (49.6% saved)

series29.0ms (0.1%)

Counts

4 → 148

Calls

39 calls:

Time	Variable		Expression
5.0ms	phi1	@	(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
2.0ms	phi1	@	(sqrt.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
2.0ms	R	@	(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
1.0ms	lambda2	@	(sqrt.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
1.0ms	lambda1	@	(sqrt.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite108.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`rational.json-simplify-35`
1022×	`bool.json-1`
1022×	`bool.json-2`
996×	`rational.json-1`
996×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	184
1	201	184
2	483	184
3	1054	184
4	2883	184
5	7986	184

Stop Event

1×	node limit

Counts

4 → 44

Calls

Call 1

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

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

simplify264.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1386×	`rational.json-simplify-49`
1174×	`rational.json-simplify-41`
1040×	`rational.json-simplify-51`
1040×	`rational.json-simplify-53`
834×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	537	20156
1	1472	19450
2	3228	17996
3	5702	17476
4	6722	17476

Stop Event

1×	node limit

Counts

192 → 428

Calls

Call 1

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

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

eval599.0ms (2.3%)

Compiler: Compiled 37977 to 25430 computations (33% saved)

prune360.0ms (1.4%)

Pruning

35 alts after pruning (32 fresh and 3 done)

	Pruned	Kept	Total
New	897	16	913
Fresh	4	16	20
Picked	1	0	1
Done	2	3	5
Total	904	35	939

Error

3.6b

Counts

939 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	44.5b	(+.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi1)) R)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (.f64 lambda1 R))))
✓	29.6b	(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
	60.1b	(.f64 (+.f64 (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 -1/8 (*.f64 (pow.f64 phi2 2) lambda1))))) R)
	57.9b	(.f64 (.f64 lambda1 R) (cos.f64 (*.f64 (+.f64 phi2 phi1) -1/2)))
	53.0b	(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (neg.f64 lambda1) R))
	53.2b	(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 lambda2 R))
	59.8b	(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 lambda1 R))
	44.5b	(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (+.f64 (neg.f64 lambda1) lambda2)))
▶	53.2b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda1 (neg.f64 R)))
	59.8b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda1 R))
✓	45.8b	(*.f64 phi1 (neg.f64 R))
	53.2b	(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
	60.1b	(.f64 lambda2 (neg.f64 (.f64 (cos.f64 (*.f64 phi1 -1/2)) R)))
	51.8b	(.f64 lambda1 (.f64 (cos.f64 (*.f64 (+.f64 phi1 phi2) -1/2)) (neg.f64 R)))
	48.8b	(.f64 R (-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi1)) 2) phi1) (.f64 -1/2 (pow.f64 (-.f64 lambda1 lambda2) 2))) phi1))
▶	29.6b	(*.f64 R (-.f64 phi2 phi1))
	60.2b	(.f64 R (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (+.f64 (.f64 phi2 -1/2) (.f64 1/48 (pow.f64 phi2 3)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))))))
▶	59.9b	(.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) -1/2))) lambda1))
	52.1b	(.f64 R (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1)))
	59.8b	(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) lambda1))
	53.2b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda1)))
▶	59.8b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
	57.4b	(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
	53.4b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
	38.7b	(.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	40.3b	(.f64 R (sqrt.f64 (+.f64 (/.f64 (.f64 (-.f64 lambda1 lambda2) (.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 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)))))) (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
▶	37.2b	(.f64 R (sqrt.f64 (+.f64 (/.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 phi2 1/2))) (/.f64 1 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.6b	(.f64 R (sqrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2)))) (neg.f64 phi1))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	39.0b	(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.7b	(.f64 R (sqrt.f64 (+.f64 (.f64 (+.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (sin.f64 (.f64 phi2 1/2)) (.f64 -1/2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.9b	(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (+.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (sin.f64 (.f64 phi2 1/2)) (.f64 -1/2 phi1)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	46.3b	(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (.f64 (-.f64 lambda1 lambda2) (.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))) (neg.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))))))) (/.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (.f64 (-.f64 lambda1 lambda2) (.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))) (neg.f64 (.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)))))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	36.9b	(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	39.4b	(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
✓	46.1b	(*.f64 R phi2)

Compiler

Compiled 1828 to 1196 computations (34.6% 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	R	@	0	(*.f64 R (-.f64 phi2 phi1))
0.0ms	phi1	@	-inf	(*.f64 R (-.f64 phi2 phi1))
0.0ms	phi2	@	inf	(*.f64 R (-.f64 phi2 phi1))
0.0ms	phi2	@	-inf	(*.f64 R (-.f64 phi2 phi1))
0.0ms	phi1	@	inf	(*.f64 R (-.f64 phi2 phi1))

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1338×	`bool.json-1`
1338×	`bool.json-2`
1296×	`rational.json-1`
1296×	`rational.json-2`
1296×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	69	13
2	197	13
3	429	13
4	883	13
5	1950	13
6	4470	13

Stop Event

1×	node limit

Counts

1 → 11

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 (*.f64 R (/.f64 (-.f64 phi1 phi2) -2)) (*.f64 R (/.f64 (-.f64 phi1 phi2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (-.f64 phi2 phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (-.f64 phi2 phi1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 (-.f64 phi1 phi2) R)) 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 (*.f64 R 8) (-.f64 phi2 phi1)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 R 8) (-.f64 phi2 phi1))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 R 8) (-.f64 phi2 phi1)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 R 8) (-.f64 phi2 phi1)))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 R 8) (-.f64 phi2 phi1))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 R (-.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 R (-.f64 phi2 phi1)) (*.f64 R (-.f64 phi2 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 R (-.f64 phi2 phi1)) (*.f64 R (-.f64 phi2 phi1)))))))

simplify487.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

3568×	`rational.json-simplify-2`
2870×	`rational.json-simplify-35`
2444×	`rational.json-simplify-53`
894×	`rational.json-simplify-51`
890×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	683
1	104	623
2	214	515
3	454	515
4	1299	515
5	3038	515
6	4177	515
7	4389	515
8	4529	515
9	4663	515
10	4796	515
11	5752	515
12	5883	515
13	5885	515
14	5885	515
15	5885	515
16	6016	515
17	6147	515
18	6278	515
19	6972	515

Stop Event

1×	node limit

Counts

35 → 21

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

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

localize13.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 20 computations (33.3% saved)

series59.0ms (0.2%)

Counts

2 → 8

Calls

15 calls:

Time	Variable		Point	Expression
53.0ms	R	@	inf	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
1.0ms	R	@	0	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
1.0ms	lambda1	@	0	(.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)
0.0ms	lambda1	@	inf	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
0.0ms	phi2	@	-inf	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))

rewrite87.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1532×	`bool.json-1`
1532×	`bool.json-2`
1466×	`rational.json-1`
1466×	`rational.json-2`
1466×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	111	40
2	303	40
3	661	40
4	1384	40
5	3177	40
6	6265	40

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1)) (*.f64 1/2 (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) (+.f64 lambda1 lambda1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) (*.f64 lambda1 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1) 8)) (*.f64 2 (*.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1) (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1) (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 phi2 2)) R)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 phi2 2)) R)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 phi2 2)) R))) (*.f64 1/2 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 phi2 2)) R))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 phi2 2)) R)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 phi2 2)) R)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) (*.f64 R (+.f64 lambda1 lambda1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) (*.f64 lambda1 (*.f64 R 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 phi2 2)) R)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 phi2 2)) R)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 phi2 2)) R)) 8)) (*.f64 2 (*.f64 (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 phi2 2)) R)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 phi2 2)) R))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 phi2 2)) R)) (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 phi2 2)) R)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 phi2 2)) R)) (*.f64 lambda1 (*.f64 (cos.f64 (/.f64 phi2 2)) R)))))))

simplify232.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2946×	`rational.json-simplify-2`
1808×	`rational.json-simplify-35`
1564×	`rational.json-simplify-1`
1110×	`rational.json-simplify-53`
1056×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	756
1	208	738
2	468	726
3	1043	696
4	2788	696
5	4574	696
6	4895	696
7	5160	696
8	5416	696
9	5486	696
10	6734	696
11	7790	696

Stop Event

1×	node limit

Counts

28 → 59

Calls

Call 1

Inputs
lambda1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) lambda1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi2 4) lambda1)) lambda1))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi2 4) lambda1)) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 phi2 6) lambda1)) lambda1)))
(*.f64 R lambda1)
(+.f64 (.f64 -1/8 (.f64 R (.f64 (pow.f64 phi2 2) lambda1))) (.f64 R lambda1))
(+.f64 (.f64 -1/8 (.f64 R (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (.f64 1/384 (.f64 R (.f64 (pow.f64 phi2 4) lambda1))) (*.f64 R lambda1)))
(+.f64 (.f64 -1/46080 (.f64 R (.f64 (pow.f64 phi2 6) lambda1))) (+.f64 (.f64 -1/8 (.f64 R (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (.f64 1/384 (.f64 R (.f64 (pow.f64 phi2 4) lambda1))) (.f64 R lambda1))))
(+.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1) 0)
(+.f64 0 (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 2)) lambda1)) (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 2)) lambda1)))
(-.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1) 0)
(/.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1) 1)
(/.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) (+.f64 lambda1 lambda1)) 2)
(/.f64 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 4)) 4)
(/.f64 (.f64 (.f64 (cos.f64 (/.f64 phi2 2)) lambda1) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (cos.f64 (/.f64 phi2 2)) lambda1) 8)) (.f64 2 (.f64 (.f64 (cos.f64 (/.f64 phi2 2)) lambda1) 8))) 32)
(+.f64 (.f64 lambda1 (.f64 (cos.f64 (/.f64 phi2 2)) R)) 0)
(+.f64 0 (.f64 lambda1 (.f64 (cos.f64 (/.f64 phi2 2)) R)))
(+.f64 (.f64 1/2 (.f64 lambda1 (.f64 (cos.f64 (/.f64 phi2 2)) R))) (.f64 1/2 (.f64 lambda1 (.f64 (cos.f64 (/.f64 phi2 2)) R))))
(-.f64 (.f64 lambda1 (.f64 (cos.f64 (/.f64 phi2 2)) R)) 0)
(/.f64 (.f64 lambda1 (.f64 (cos.f64 (/.f64 phi2 2)) R)) 1)
(/.f64 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 R (+.f64 lambda1 lambda1))) 2)
(/.f64 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 (*.f64 R 4))) 4)
(/.f64 (.f64 (.f64 lambda1 (*.f64 (cos.f64 (/.f64 phi2 2)) R)) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 lambda1 (.f64 (cos.f64 (/.f64 phi2 2)) R)) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 lambda1 (.f64 (cos.f64 (/.f64 phi2 2)) R)) 8)) (.f64 2 (.f64 (.f64 lambda1 (.f64 (cos.f64 (/.f64 phi2 2)) R)) 8))) 32)

Outputs
lambda1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) lambda1)
(+.f64 lambda1 (.f64 -1/8 (.f64 lambda1 (pow.f64 phi2 2))))
(+.f64 lambda1 (.f64 lambda1 (.f64 (pow.f64 phi2 2) -1/8)))
(+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 lambda1 -1/8)))
(+.f64 lambda1 (.f64 lambda1 (.f64 -1/8 (pow.f64 phi2 2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi2 4) lambda1)) lambda1))
(+.f64 (.f64 -1/8 (.f64 lambda1 (pow.f64 phi2 2))) (+.f64 lambda1 (.f64 1/384 (.f64 lambda1 (pow.f64 phi2 4)))))
(+.f64 (+.f64 lambda1 (.f64 lambda1 (.f64 (pow.f64 phi2 2) -1/8))) (.f64 (pow.f64 phi2 4) (.f64 lambda1 1/384)))
(+.f64 lambda1 (.f64 lambda1 (+.f64 (.f64 1/384 (pow.f64 phi2 4)) (*.f64 -1/8 (pow.f64 phi2 2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) (+.f64 (.f64 1/384 (.f64 (pow.f64 phi2 4) lambda1)) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 phi2 6) lambda1)) lambda1)))
(+.f64 (.f64 -1/8 (.f64 lambda1 (pow.f64 phi2 2))) (+.f64 (.f64 1/384 (.f64 lambda1 (pow.f64 phi2 4))) (+.f64 lambda1 (.f64 -1/46080 (.f64 lambda1 (pow.f64 phi2 6))))))
(+.f64 (.f64 lambda1 (.f64 (pow.f64 phi2 6) -1/46080)) (+.f64 (+.f64 lambda1 (.f64 lambda1 (.f64 (pow.f64 phi2 2) -1/8))) (.f64 (pow.f64 phi2 4) (.f64 lambda1 1/384))))
(+.f64 (.f64 -1/8 (.f64 lambda1 (pow.f64 phi2 2))) (+.f64 (.f64 1/384 (.f64 lambda1 (pow.f64 phi2 4))) (+.f64 lambda1 (.f64 lambda1 (.f64 -1/46080 (pow.f64 phi2 6))))))
(+.f64 lambda1 (+.f64 (.f64 lambda1 (+.f64 (.f64 -1/46080 (pow.f64 phi2 6)) (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 (pow.f64 phi2 4) (*.f64 lambda1 1/384))))
(+.f64 lambda1 (+.f64 (.f64 1/384 (.f64 lambda1 (pow.f64 phi2 4))) (.f64 lambda1 (+.f64 (.f64 -1/8 (pow.f64 phi2 2)) (*.f64 -1/46080 (pow.f64 phi2 6))))))
(*.f64 R lambda1)
(*.f64 lambda1 R)
(+.f64 (.f64 -1/8 (.f64 R (.f64 (pow.f64 phi2 2) lambda1))) (.f64 R lambda1))
(+.f64 (.f64 lambda1 R) (.f64 -1/8 (.f64 (pow.f64 phi2 2) (.f64 lambda1 R))))
(.f64 R (+.f64 lambda1 (.f64 lambda1 (*.f64 (pow.f64 phi2 2) -1/8))))
(.f64 (+.f64 lambda1 (.f64 -1/8 (*.f64 lambda1 (pow.f64 phi2 2)))) R)
(.f64 lambda1 (+.f64 R (.f64 -1/8 (*.f64 (pow.f64 phi2 2) R))))
(.f64 lambda1 (+.f64 R (.f64 R (*.f64 -1/8 (pow.f64 phi2 2)))))
(+.f64 (.f64 -1/8 (.f64 R (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (.f64 1/384 (.f64 R (.f64 (pow.f64 phi2 4) lambda1))) (*.f64 R lambda1)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (.f64 lambda1 R))) (+.f64 (.f64 lambda1 R) (.f64 1/384 (.f64 (pow.f64 phi2 4) (*.f64 lambda1 R)))))
(+.f64 (.f64 R (+.f64 lambda1 (.f64 lambda1 (.f64 (pow.f64 phi2 2) -1/8)))) (.f64 1/384 (.f64 lambda1 (.f64 (pow.f64 phi2 4) R))))
(.f64 R (+.f64 (.f64 -1/8 (.f64 lambda1 (pow.f64 phi2 2))) (+.f64 lambda1 (.f64 1/384 (*.f64 lambda1 (pow.f64 phi2 4))))))
(.f64 (+.f64 lambda1 (.f64 lambda1 (+.f64 (.f64 1/384 (pow.f64 phi2 4)) (.f64 -1/8 (pow.f64 phi2 2))))) R)
(+.f64 (.f64 -1/46080 (.f64 R (.f64 (pow.f64 phi2 6) lambda1))) (+.f64 (.f64 -1/8 (.f64 R (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (.f64 1/384 (.f64 R (.f64 (pow.f64 phi2 4) lambda1))) (.f64 R lambda1))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (.f64 lambda1 R))) (+.f64 (+.f64 (.f64 lambda1 R) (.f64 1/384 (.f64 (pow.f64 phi2 4) (.f64 lambda1 R)))) (.f64 -1/46080 (.f64 (pow.f64 phi2 6) (.f64 lambda1 R)))))
(+.f64 (.f64 1/384 (.f64 lambda1 (.f64 (pow.f64 phi2 4) R))) (+.f64 (.f64 R (+.f64 lambda1 (.f64 lambda1 (.f64 (pow.f64 phi2 2) -1/8)))) (.f64 (pow.f64 phi2 6) (.f64 (*.f64 lambda1 R) -1/46080))))
(+.f64 (.f64 1/384 (.f64 (pow.f64 phi2 4) (.f64 lambda1 R))) (.f64 R (+.f64 (.f64 lambda1 (.f64 -1/46080 (pow.f64 phi2 6))) (+.f64 lambda1 (.f64 -1/8 (.f64 lambda1 (pow.f64 phi2 2)))))))
(.f64 R (+.f64 lambda1 (+.f64 (.f64 lambda1 (+.f64 (.f64 -1/46080 (pow.f64 phi2 6)) (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 (pow.f64 phi2 4) (.f64 lambda1 1/384)))))
(.f64 R (+.f64 lambda1 (+.f64 (.f64 1/384 (.f64 lambda1 (pow.f64 phi2 4))) (.f64 lambda1 (+.f64 (.f64 -1/8 (pow.f64 phi2 2)) (.f64 -1/46080 (pow.f64 phi2 6)))))))
(.f64 (+.f64 lambda1 (+.f64 (.f64 1/384 (.f64 lambda1 (pow.f64 phi2 4))) (.f64 lambda1 (+.f64 (.f64 -1/8 (pow.f64 phi2 2)) (.f64 -1/46080 (pow.f64 phi2 6)))))) R)
(+.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1) 0)
(*.f64 lambda1 (cos.f64 (/.f64 phi2 2)))
(+.f64 0 (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1))
(*.f64 lambda1 (cos.f64 (/.f64 phi2 2)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 2)) lambda1)) (.f64 1/2 (.f64 (cos.f64 (/.f64 phi2 2)) lambda1)))
(*.f64 lambda1 (cos.f64 (/.f64 phi2 2)))
(-.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1) 0)
(*.f64 lambda1 (cos.f64 (/.f64 phi2 2)))
(/.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1) 1)
(*.f64 lambda1 (cos.f64 (/.f64 phi2 2)))
(/.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) (+.f64 lambda1 lambda1)) 2)
(*.f64 lambda1 (cos.f64 (/.f64 phi2 2)))
(/.f64 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 4)) 4)
(*.f64 lambda1 (cos.f64 (/.f64 phi2 2)))
(/.f64 (.f64 (.f64 (cos.f64 (/.f64 phi2 2)) lambda1) 8) 8)
(*.f64 lambda1 (cos.f64 (/.f64 phi2 2)))
(/.f64 (.f64 2 (.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) lambda1) 8)) 16)
(*.f64 lambda1 (cos.f64 (/.f64 phi2 2)))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (cos.f64 (/.f64 phi2 2)) lambda1) 8)) (.f64 2 (.f64 (.f64 (cos.f64 (/.f64 phi2 2)) lambda1) 8))) 32)
(*.f64 lambda1 (cos.f64 (/.f64 phi2 2)))
(+.f64 (.f64 lambda1 (.f64 (cos.f64 (/.f64 phi2 2)) R)) 0)
(.f64 lambda1 (.f64 R (cos.f64 (/.f64 phi2 2))))
(.f64 (.f64 lambda1 R) (cos.f64 (/.f64 phi2 2)))
(+.f64 0 (.f64 lambda1 (.f64 (cos.f64 (/.f64 phi2 2)) R)))
(.f64 lambda1 (.f64 R (cos.f64 (/.f64 phi2 2))))
(.f64 (.f64 lambda1 R) (cos.f64 (/.f64 phi2 2)))
(+.f64 (.f64 1/2 (.f64 lambda1 (.f64 (cos.f64 (/.f64 phi2 2)) R))) (.f64 1/2 (.f64 lambda1 (.f64 (cos.f64 (/.f64 phi2 2)) R))))
(.f64 lambda1 (.f64 R (cos.f64 (/.f64 phi2 2))))
(.f64 (.f64 lambda1 R) (cos.f64 (/.f64 phi2 2)))
(-.f64 (.f64 lambda1 (.f64 (cos.f64 (/.f64 phi2 2)) R)) 0)
(.f64 lambda1 (.f64 R (cos.f64 (/.f64 phi2 2))))
(.f64 (.f64 lambda1 R) (cos.f64 (/.f64 phi2 2)))
(/.f64 (.f64 lambda1 (.f64 (cos.f64 (/.f64 phi2 2)) R)) 1)
(.f64 lambda1 (.f64 R (cos.f64 (/.f64 phi2 2))))
(.f64 (.f64 lambda1 R) (cos.f64 (/.f64 phi2 2)))
(/.f64 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 R (+.f64 lambda1 lambda1))) 2)
(.f64 lambda1 (.f64 R (cos.f64 (/.f64 phi2 2))))
(.f64 (.f64 lambda1 R) (cos.f64 (/.f64 phi2 2)))
(/.f64 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 (*.f64 R 4))) 4)
(.f64 lambda1 (.f64 R (cos.f64 (/.f64 phi2 2))))
(.f64 (.f64 lambda1 R) (cos.f64 (/.f64 phi2 2)))
(/.f64 (.f64 (.f64 lambda1 (*.f64 (cos.f64 (/.f64 phi2 2)) R)) 8) 8)
(.f64 lambda1 (.f64 R (cos.f64 (/.f64 phi2 2))))
(.f64 (.f64 lambda1 R) (cos.f64 (/.f64 phi2 2)))
(/.f64 (.f64 2 (.f64 (.f64 lambda1 (.f64 (cos.f64 (/.f64 phi2 2)) R)) 8)) 16)
(.f64 lambda1 (.f64 R (cos.f64 (/.f64 phi2 2))))
(.f64 (.f64 lambda1 R) (cos.f64 (/.f64 phi2 2)))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 lambda1 (.f64 (cos.f64 (/.f64 phi2 2)) R)) 8)) (.f64 2 (.f64 (.f64 lambda1 (.f64 (cos.f64 (/.f64 phi2 2)) R)) 8))) 32)
(.f64 lambda1 (.f64 R (cos.f64 (/.f64 phi2 2))))
(.f64 (.f64 lambda1 R) (cos.f64 (/.f64 phi2 2)))

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda1 (neg.f64 R)))

Compiler

Compiled 31 to 17 computations (45.2% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite96.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1198×	`bool.json-1`
1198×	`bool.json-2`
1152×	`rational.json-1`
1152×	`rational.json-2`
1152×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	124	27
2	344	27
3	763	27
4	1688	27
5	4126	27
6	7672	27

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) (*.f64 lambda1 (neg.f64 R))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (/.f64 phi2 2)) (*.f64 lambda1 (neg.f64 R))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) (*.f64 (*.f64 lambda1 R) -1/2)) (*.f64 (cos.f64 (/.f64 phi2 2)) (*.f64 (*.f64 lambda1 R) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) (*.f64 lambda1 (neg.f64 R))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) (*.f64 lambda1 (neg.f64 R))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) (*.f64 R (*.f64 lambda1 -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) (*.f64 lambda1 (*.f64 R -4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (/.f64 phi2 2)) (*.f64 lambda1 (*.f64 R -4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (/.f64 phi2 2)) (*.f64 lambda1 (*.f64 R -4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (/.f64 phi2 2)) (*.f64 lambda1 (*.f64 R -4))))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 (/.f64 phi2 2)) (*.f64 lambda1 (*.f64 R -4)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cos.f64 (/.f64 phi2 2)) (*.f64 lambda1 R)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 (/.f64 phi2 2)) (*.f64 lambda1 (neg.f64 R)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (cos.f64 (/.f64 phi2 2)) (*.f64 lambda1 (neg.f64 R))) (*.f64 (cos.f64 (/.f64 phi2 2)) (*.f64 lambda1 (neg.f64 R))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 (/.f64 phi2 2)) (*.f64 lambda1 (neg.f64 R))) (*.f64 (cos.f64 (/.f64 phi2 2)) (*.f64 lambda1 (neg.f64 R))))))))

simplify264.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2506×	`rational.json-simplify-35`
2304×	`rational.json-simplify-2`
1436×	`rational.json-simplify-1`
836×	`rational.json-simplify-43`
592×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	1479
1	185	1385
2	396	1361
3	889	1343
4	2453	1343
5	3813	1343
6	4615	1343
7	5176	1343
8	5392	1343
9	5852	1343
10	6941	1343
11	7191	1343
12	7476	1343
13	7833	1343

Stop Event

1×	node limit

Counts

47 → 34

Calls

Call 1

Inputs
(.f64 -1 (.f64 R lambda1))
(+.f64 (.f64 1/8 (.f64 R (.f64 (pow.f64 phi2 2) lambda1))) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 1/8 (.f64 R (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (.f64 -1/384 (.f64 R (.f64 (pow.f64 phi2 4) lambda1))) (.f64 -1 (.f64 R lambda1))))
(+.f64 (.f64 1/8 (.f64 R (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (.f64 -1/384 (.f64 R (.f64 (pow.f64 phi2 4) lambda1))) (+.f64 (.f64 -1 (.f64 R lambda1)) (.f64 1/46080 (.f64 R (*.f64 (pow.f64 phi2 6) lambda1))))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 (neg.f64 R))) 0)
(+.f64 0 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 (neg.f64 R))))
(+.f64 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 (.f64 lambda1 R) -1/2)) (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 (.f64 lambda1 R) -1/2)))
(-.f64 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 (neg.f64 R))) 0)
(/.f64 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 (neg.f64 R))) 1)
(/.f64 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 R (*.f64 lambda1 -2))) 2)
(/.f64 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 (*.f64 R -4))) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 (.f64 R -4)))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 (*.f64 R -4))))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 (.f64 R -4))))) (.f64 2 (.f64 2 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 (.f64 R -4)))))) 32)
(neg.f64 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 R)))

Outputs
(.f64 -1 (.f64 R lambda1))
(*.f64 R (neg.f64 lambda1))
(+.f64 (.f64 1/8 (.f64 R (.f64 (pow.f64 phi2 2) lambda1))) (.f64 -1 (*.f64 R lambda1)))
(+.f64 (.f64 -1 (.f64 R lambda1)) (.f64 1/8 (.f64 R (*.f64 lambda1 (pow.f64 phi2 2)))))
(+.f64 (.f64 R (neg.f64 lambda1)) (.f64 (.f64 lambda1 (pow.f64 phi2 2)) (.f64 1/8 R)))
(.f64 R (+.f64 (.f64 lambda1 (*.f64 (pow.f64 phi2 2) 1/8)) (neg.f64 lambda1)))
(.f64 (.f64 R lambda1) (+.f64 -1 (*.f64 1/8 (pow.f64 phi2 2))))
(+.f64 (.f64 1/8 (.f64 R (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (.f64 -1/384 (.f64 R (.f64 (pow.f64 phi2 4) lambda1))) (.f64 -1 (.f64 R lambda1))))
(+.f64 (.f64 1/8 (.f64 R (.f64 lambda1 (pow.f64 phi2 2)))) (+.f64 (.f64 -1 (.f64 R lambda1)) (.f64 -1/384 (.f64 R (.f64 lambda1 (pow.f64 phi2 4))))))
(+.f64 (.f64 R (neg.f64 lambda1)) (+.f64 (.f64 (.f64 lambda1 (pow.f64 phi2 4)) (.f64 -1/384 R)) (.f64 (.f64 lambda1 (pow.f64 phi2 2)) (*.f64 1/8 R))))
(+.f64 (.f64 R (neg.f64 lambda1)) (.f64 R (+.f64 (.f64 lambda1 (.f64 (pow.f64 phi2 2) 1/8)) (.f64 (pow.f64 phi2 4) (.f64 lambda1 -1/384)))))
(.f64 R (+.f64 (.f64 lambda1 (.f64 1/8 (pow.f64 phi2 2))) (.f64 lambda1 (+.f64 -1 (*.f64 -1/384 (pow.f64 phi2 4))))))
(+.f64 (.f64 1/8 (.f64 R (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (.f64 -1/384 (.f64 R (.f64 (pow.f64 phi2 4) lambda1))) (+.f64 (.f64 -1 (.f64 R lambda1)) (.f64 1/46080 (.f64 R (*.f64 (pow.f64 phi2 6) lambda1))))))
(+.f64 (.f64 1/8 (.f64 R (.f64 lambda1 (pow.f64 phi2 2)))) (+.f64 (.f64 -1/384 (.f64 R (.f64 lambda1 (pow.f64 phi2 4)))) (+.f64 (.f64 -1 (.f64 R lambda1)) (.f64 1/46080 (.f64 R (*.f64 lambda1 (pow.f64 phi2 6)))))))
(+.f64 (.f64 (.f64 lambda1 (pow.f64 phi2 2)) (.f64 1/8 R)) (+.f64 (.f64 1/46080 (.f64 (pow.f64 phi2 6) (.f64 R lambda1))) (+.f64 (.f64 R (neg.f64 lambda1)) (.f64 (.f64 lambda1 (pow.f64 phi2 4)) (.f64 -1/384 R)))))
(+.f64 (.f64 R (+.f64 (.f64 lambda1 (.f64 (pow.f64 phi2 6) 1/46080)) (neg.f64 lambda1))) (.f64 R (+.f64 (.f64 lambda1 (.f64 (pow.f64 phi2 2) 1/8)) (.f64 (pow.f64 phi2 4) (.f64 lambda1 -1/384)))))
(+.f64 (.f64 (.f64 R lambda1) (+.f64 -1 (.f64 -1/384 (pow.f64 phi2 4)))) (.f64 R (+.f64 (.f64 lambda1 (.f64 1/8 (pow.f64 phi2 2))) (.f64 lambda1 (.f64 1/46080 (pow.f64 phi2 6))))))
(+.f64 (.f64 (.f64 R lambda1) (+.f64 -1 (.f64 -1/384 (pow.f64 phi2 4)))) (.f64 R (+.f64 (.f64 lambda1 (.f64 1/46080 (pow.f64 phi2 6))) (.f64 lambda1 (.f64 1/8 (pow.f64 phi2 2))))))
(+.f64 (.f64 R (.f64 lambda1 (.f64 1/8 (pow.f64 phi2 2)))) (.f64 R (+.f64 (.f64 (pow.f64 phi2 6) (.f64 lambda1 1/46080)) (.f64 lambda1 (+.f64 -1 (.f64 -1/384 (pow.f64 phi2 4)))))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(+.f64 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 (neg.f64 R))) 0)
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(+.f64 0 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 (neg.f64 R))))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(+.f64 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 (.f64 lambda1 R) -1/2)) (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 (.f64 lambda1 R) -1/2)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(-.f64 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 (neg.f64 R))) 0)
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(/.f64 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 (neg.f64 R))) 1)
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(/.f64 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 R (*.f64 lambda1 -2))) 2)
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(/.f64 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 (*.f64 R -4))) 4)
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(/.f64 (.f64 2 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 (.f64 R -4)))) 8)
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 (*.f64 R -4))))) 16)
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 (.f64 R -4))))) (.f64 2 (.f64 2 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 (.f64 R -4)))))) 32)
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(neg.f64 (.f64 (cos.f64 (/.f64 phi2 2)) (.f64 lambda1 R)))
(.f64 -1 (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) -1/2)))
✓	0.1b	(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) -1/2))
✓	0.2b	(.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) -1/2))) lambda1)
✓	1.8b	(.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) -1/2))) lambda1))

Compiler

Compiled 81 to 59 computations (27.2% saved)

series14.0ms (0.1%)

Counts

4 → 132

Calls

33 calls:

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

rewrite89.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1408×	`bool.json-1`
1408×	`bool.json-2`
1362×	`rational.json-1`
1362×	`rational.json-2`
1362×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	158
1	174	158
2	465	158
3	1003	158
4	2118	158
5	4848	158

Stop Event

1×	node limit

Counts

4 → 45

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) (.f64 R (.f64 1/2 lambda1))) (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) (.f64 R (.f64 1/2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) lambda1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) (.f64 R (+.f64 lambda1 lambda1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) (.f64 (.f64 R lambda1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) (.f64 (.f64 R lambda1) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) (.f64 (.f64 R lambda1) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) (.f64 (.f64 R lambda1) 4)))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) (.f64 (.f64 R lambda1) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) lambda1)) (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) lambda1)) (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) lambda1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) lambda1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) lambda1)) (.f64 1/2 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) lambda1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) lambda1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) (+.f64 lambda1 lambda1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) (.f64 lambda1 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) (.f64 lambda1 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) (.f64 lambda1 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) (.f64 lambda1 4)))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) (.f64 lambda1 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) lambda1) (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) lambda1))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) lambda1) (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (*.f64 phi1 -1/2))))) lambda1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) -1/4)) (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) -2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) -2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) -2)))) (.f64 2 (.f64 2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) -2))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2)))) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2)))) (.f64 1/2 (.f64 phi2 (sin.f64 (*.f64 phi1 -1/2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 1/2 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 -1/2))))))))))

simplify424.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2462×	`rational.json-simplify-2`
2092×	`rational.json-simplify-1`
1720×	`rational.json-simplify-35`
1300×	`rational.json-simplify-48`
1102×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	181	7363
1	444	7309
2	1031	7291
3	1926	7225
4	3848	7225
5	4493	7225
6	4881	7225
7	5563	7225
8	6721	7225
9	7075	7225
10	7773	7225

Stop Event

1×	node limit

Counts

177 → 158

Calls

Call 1

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

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

localize56.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (cos.f64 (*.f64 phi2 1/2)))
✓	2.5b	(cos.f64 (*.f64 (+.f64 phi1 phi2) 1/2))
✓	3.4b	(+.f64 (/.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 phi2 1/2))) (/.f64 1 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
✓	28.5b	(sqrt.f64 (+.f64 (/.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (cos.f64 (.f64 phi2 1/2))) (/.f64 1 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Compiler

Compiled 185 to 77 computations (58.4% saved)

series11.0ms (0%)

Counts

4 → 144

Calls

36 calls:

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

rewrite103.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`rational.json-simplify-35`
858×	`bool.json-1`
858×	`bool.json-2`
840×	`rational.json-1`
840×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	228
1	242	228
2	709	216
3	2157	216
4	6931	216

Stop Event

1×	node limit

Counts

4 → 50

Calls

Call 1

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

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

simplify312.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1020×	`rational.json-simplify-41`
988×	`rational.json-simplify-51`
952×	`rational.json-simplify-1`
946×	`rational.json-simplify-49`
882×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	487	20480
1	1327	19922
2	2964	18836
3	6798	18148

Stop Event

1×	node limit

Counts

194 → 365

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

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) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 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 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 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 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 1/2)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) -1/2)) (.f64 phi2 -2)) (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (.f64 1/2 (.f64 phi1 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) -1/2)) (*.f64 phi2 -2))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 (cos.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 -1/2 (.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 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 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 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 1/2))) (.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)) (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/2 (.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) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 1/2)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (.f64 (pow.f64 phi1 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)) (-.f64 1 (pow.f64 (.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) -1/2)) (.f64 phi2 -2)) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2))))) (.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) -1/2)) (.f64 phi2 -2)) (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (+.f64 (.f64 phi1 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) -1/2)) (.f64 phi2 -2))) (.f64 (pow.f64 phi1 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)) (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) -1/2)) (.f64 phi2 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2))))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 (cos.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 -1/2 (.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 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi2))) (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) (pow.f64 phi1 3)) (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 -1/8 (.f64 (pow.f64 (cos.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 -1/2 (.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 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 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 (.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)) (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/2 (.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) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 1/2)) (+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 1/2))) (.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2)))) 1/48) (.f64 1/2 (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))))) (.f64 phi2 -2)) (/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)) (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/2 (.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) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2))) (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (pow.f64 phi1 3)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 1/2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (.f64 (pow.f64 phi1 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)) (-.f64 1 (pow.f64 (.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) -1/2)) (.f64 phi2 -2)) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2))))) (.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) -1/2)) (.f64 phi2 -2)) (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))) (.f64 1/2 (.f64 (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) 1/48)) (.f64 1/2 (.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) -1/2)) (.f64 phi2 -2)) (/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)) (-.f64 1 (pow.f64 (.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) -1/2)) (.f64 phi2 -2)) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2))) (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (.f64 (pow.f64 phi1 3) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (+.f64 (.f64 (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) 1/48)) (.f64 1/2 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)) (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) -1/2)) (.f64 phi2 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2))) (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) -1/2)) (.f64 phi2 -2)) (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (.f64 (pow.f64 phi1 3) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (+.f64 (.f64 phi1 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) -1/2)) (.f64 phi2 -2))) (.f64 (pow.f64 phi1 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)) (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) -1/2)) (.f64 phi2 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2)))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) (+.f64 (.f64 (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) 1/48)) (.f64 1/2 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)) (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) -1/2)) (.f64 phi2 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2))) (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) -1/2)) (.f64 phi2 -2)) (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (pow.f64 phi1 3)) (+.f64 (.f64 phi1 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) -1/2)) (.f64 phi2 -2))) (.f64 (pow.f64 phi1 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)) (-.f64 1 (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) -1/2)) (.f64 phi2 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2))))))))
phi1
(+.f64 (*.f64 -1 phi2) phi1)
(+.f64 phi1 (*.f64 phi2 -1))
(+.f64 phi1 (neg.f64 phi2))
(+.f64 (.f64 -1 phi2) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (*.f64 -1 phi2) 2)) phi1)) phi1))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (-.f64 (pow.f64 phi2 2) (pow.f64 (.f64 phi2 -1) 2))) phi1)) (+.f64 phi1 (*.f64 phi2 -1)))
(+.f64 phi1 (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) (pow.f64 (neg.f64 phi2) 2))) phi1)) (neg.f64 phi2)))
(+.f64 (+.f64 phi1 (neg.f64 phi2)) (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (neg.f64 phi2) 2))) phi1)))
(+.f64 (.f64 -1 phi2) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 -1 phi2) 2)) phi1)) (+.f64 phi1 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 -1 phi2) 2)) phi2) (pow.f64 phi1 2))))))
(+.f64 (.f64 phi2 -1) (+.f64 phi1 (+.f64 (.f64 1/2 (.f64 phi2 (/.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (-.f64 (pow.f64 phi2 2) (pow.f64 (.f64 phi2 -1) 2))) (pow.f64 phi1 2)))) (.f64 1/2 (/.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (-.f64 (pow.f64 phi2 2) (pow.f64 (.f64 phi2 -1) 2))) phi1)))))
(+.f64 phi1 (+.f64 (.f64 1/2 (+.f64 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (pow.f64 (neg.f64 phi2) 2))) phi1) (.f64 phi2 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (pow.f64 (neg.f64 phi2) 2))) (pow.f64 phi1 2))))) (neg.f64 phi2)))
(+.f64 (.f64 1/2 (+.f64 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (neg.f64 phi2) 2))) phi1) (.f64 phi2 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (neg.f64 phi2) 2))) (pow.f64 phi1 2))))) (+.f64 phi1 (neg.f64 phi2)))
(*.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 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 (cos.f64 (*.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))) phi1))))
(+.f64 phi2 (+.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (/.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) phi1))) (*.f64 phi1 -1)))
(+.f64 phi2 (+.f64 (neg.f64 phi1) (.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (/.f64 (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) phi1)))))
(+.f64 phi2 (+.f64 (neg.f64 phi1) (.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1)))))
(+.f64 phi2 (+.f64 (neg.f64 phi1) (.f64 -1/2 (.f64 (cos.f64 (.f64 phi2 1/2)) (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))) phi1)))))
(+.f64 (.f64 -1 phi1) (+.f64 phi2 (+.f64 (.f64 -1/2 (/.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 phi2 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 phi1 2))) (.f64 -1/2 (/.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))) phi1)))))
(+.f64 phi2 (+.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (/.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) phi1))) (.f64 -1/2 (.f64 (.f64 phi2 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (/.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (pow.f64 phi1 2))))) (.f64 phi1 -1)))
(+.f64 phi2 (+.f64 (neg.f64 phi1) (.f64 -1/2 (+.f64 (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))) (/.f64 phi2 (pow.f64 phi1 2))) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (/.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))) phi1))))))
(+.f64 phi2 (+.f64 (neg.f64 phi1) (.f64 -1/2 (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1)) (.f64 phi2 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))) (pow.f64 phi1 2)))))))
(+.f64 phi2 (+.f64 (neg.f64 phi1) (.f64 -1/2 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))) phi1)) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))) (/.f64 phi2 (pow.f64 phi1 2)))))))
(sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 -1/2 (.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 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))))) (.f64 (.f64 phi2 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/2)) (.f64 phi1 -2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (*.f64 1/2 phi1)))))) 1/2)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))))) (.f64 1/2 (.f64 phi2 (.f64 (+.f64 (.f64 -1/2 (.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) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (*.f64 1/2 phi1))))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))) (.f64 (.f64 phi2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (*.f64 phi1 -2))) 1/2)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 -1/2 (.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 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)))) (.f64 (-.f64 (+.f64 1 (.f64 -1/4 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -2 phi1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)))))) 2)) (pow.f64 phi2 2))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 (.f64 phi2 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/2)) (.f64 phi1 -2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))) 1/2)) (.f64 1/2 (.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/2)) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))))) 2)) (.f64 (pow.f64 phi2 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (*.f64 1/2 phi1)))))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))))) (.f64 1/2 (+.f64 (.f64 (pow.f64 phi2 2) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))) (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/4 (cos.f64 (.f64 1/2 phi1)))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/2 (.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) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))))) 2))))) (.f64 phi2 (.f64 (+.f64 (.f64 -1/2 (.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) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))) (+.f64 (.f64 (pow.f64 phi2 2) (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/4 (cos.f64 (.f64 1/2 phi1)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))) (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 phi1 -2)) 1/2)) 2)))) (.f64 phi2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (*.f64 phi1 -2)))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)))) (.f64 (pow.f64 phi2 3) (-.f64 (+.f64 (.f64 1/16 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -2 phi1)) (-.f64 (+.f64 1 (.f64 -1/4 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/2 (.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 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) 2))) (sqrt.f64 (/.f64 1 (.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)) (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 -1/2 (.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 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)))) (.f64 (-.f64 (+.f64 1 (.f64 -1/4 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -2 phi1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)))))) 2)) (pow.f64 phi2 2)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))))) (+.f64 (+.f64 (.f64 (.f64 phi2 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/2)) (.f64 phi1 -2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))) 1/2)) (.f64 1/2 (.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/2)) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))))) 2)) (.f64 (pow.f64 phi2 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))) (.f64 (pow.f64 phi2 3) (-.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) 1/16)) (.f64 1/48 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))))) (.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/2)) (.f64 phi1 -2)) (-.f64 (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/2)) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))))) 2))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))))) (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))) 1/2))))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))))) (.f64 1/2 (+.f64 (.f64 (pow.f64 phi2 2) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))) (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/4 (cos.f64 (.f64 1/2 phi1)))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/2 (.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) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))))) 2))))) (.f64 phi2 (.f64 (+.f64 (.f64 -1/2 (.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) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))))))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))) (.f64 (pow.f64 phi2 3) (-.f64 (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))) 1/12) (.f64 1/2 (.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/4 (cos.f64 (.f64 1/2 phi1)))) (pow.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/2 (.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) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))))) 2))) (.f64 (+.f64 (.f64 -1/2 (.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) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))) (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (*.f64 1/2 phi1)))))))))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))))) (.f64 1/2 (+.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))) 1/12) (.f64 1/2 (.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/4 (cos.f64 (.f64 1/2 phi1)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))) (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 phi1 -2)) 1/2)) 2))) (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))) (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))))))))))) (.f64 (pow.f64 phi2 3) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))) (+.f64 (.f64 (pow.f64 phi2 2) (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/4 (cos.f64 (.f64 1/2 phi1)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))) (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 phi1 -2)) 1/2)) 2)))) (.f64 phi2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (*.f64 phi1 -2))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))))) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))))))) (+.f64 (.f64 (pow.f64 phi2 3) (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) 1/12)) (.f64 1/2 (.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/4 (cos.f64 (.f64 1/2 phi1)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))) (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 phi1 -2)) 1/2)) 2))) (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))) (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))))))))) (+.f64 (.f64 (pow.f64 phi2 2) (+.f64 1 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/4 (cos.f64 (.f64 1/2 phi1)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))))) (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 phi1 -2)) 1/2)) 2)))) (.f64 phi2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (.f64 phi1 -2)))))))
phi2
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 phi2 (*.f64 phi1 -1))
(+.f64 phi2 (neg.f64 phi1))
(+.f64 (.f64 -1 phi1) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (*.f64 -1 phi1) 2)) phi2)) phi2))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (-.f64 (pow.f64 phi1 2) (pow.f64 (.f64 phi1 -1) 2))) phi2)) (+.f64 phi2 (*.f64 phi1 -1)))
(+.f64 phi2 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) (-.f64 (pow.f64 phi1 2) (pow.f64 (neg.f64 phi1) 2))) phi2)) (neg.f64 phi1)))
(+.f64 phi2 (+.f64 (neg.f64 phi1) (.f64 1/2 (/.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))) (-.f64 (pow.f64 phi1 2) (pow.f64 (neg.f64 phi1) 2))) phi2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 -1 phi1) 2)) phi1) (pow.f64 phi2 2))) (+.f64 (.f64 -1 phi1) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 -1 phi1) 2)) phi2)) phi2)))
(+.f64 (.f64 phi1 -1) (+.f64 (+.f64 phi2 (.f64 1/2 (/.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (-.f64 (pow.f64 phi1 2) (pow.f64 (.f64 phi1 -1) 2))) phi2))) (.f64 1/2 (.f64 phi1 (/.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (-.f64 (pow.f64 phi1 2) (pow.f64 (.f64 phi1 -1) 2))) (pow.f64 phi2 2))))))
(+.f64 (neg.f64 phi1) (+.f64 (+.f64 phi2 (.f64 1/2 (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (-.f64 (pow.f64 phi1 2) (pow.f64 (neg.f64 phi1) 2))) phi2))) (.f64 1/2 (.f64 phi1 (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) (-.f64 (pow.f64 phi1 2) (pow.f64 (neg.f64 phi1) 2))) (pow.f64 phi2 2))))))
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(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda1 (neg.f64 lambda2))) (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 (.f64 lambda2 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2))) (pow.f64 (.f64 lambda2 (neg.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) 2))) (pow.f64 lambda1 2))) 1/2)) (.f64 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2))) (pow.f64 (.f64 lambda2 (neg.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) 2))) lambda1) (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))))))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda1 (neg.f64 lambda2))) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (+.f64 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2))) (pow.f64 (.f64 lambda2 (neg.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) 2))) lambda1) (.f64 lambda2 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2))) (pow.f64 (.f64 lambda2 (neg.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))) 2))) (pow.f64 lambda1 2))))))
(.f64 -1 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 phi2)))) lambda1))
(.f64 -1 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))))
(.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1))
(+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) (.f64 -1 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 phi2)))) lambda1)))
(+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 -1 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))))
(.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) (pow.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) 2)) lambda1) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))) (.f64 -1 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1))))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (-.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2))) lambda1) (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) -1/2)) (+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 -1 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))))))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 2))) (-.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2))) lambda1))))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2))) (pow.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2))) lambda1) -1/2)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 lambda2 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) (pow.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) 2))) (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))) (+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) (pow.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) 2)) lambda1) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))) (.f64 -1 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1)))))
(+.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (-.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2))) lambda1) (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) -1/2)) (+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 -1 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))) (.f64 (.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (-.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2))) (/.f64 lambda2 (pow.f64 lambda1 2))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) -1/2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (/.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 2))) (-.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2))) lambda1))) (+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 2))) (-.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))) 2))) (/.f64 lambda2 (pow.f64 lambda1 2)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2))) (pow.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2))) lambda1) -1/2)) (+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1))) (.f64 -1/2 (.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2))) (pow.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2))) (.f64 (/.f64 lambda2 (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))))))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1))) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (+.f64 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2))) (pow.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2))) lambda1) (.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2))) (pow.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))) 2))) (/.f64 lambda2 (pow.f64 lambda1 2))))))
(sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2)))
(sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))))
(sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2)))))) (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (*.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (.f64 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))))) -1)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))))
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(+.f64 (.f64 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))))) -1)) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))))) -1)) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))))) 1/2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))) 2))))) (.f64 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (neg.f64 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (.f64 1/2 (.f64 (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (neg.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2)) (.f64 (pow.f64 lambda2 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))) (pow.f64 (.f64 -1 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (pow.f64 lambda2 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2)))))) (+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2)))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))) (pow.f64 (.f64 -1 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (.f64 (pow.f64 lambda2 3) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2)) 3))))) (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2))))))
(+.f64 (.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))))) -1)) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))))) 1/2)) (+.f64 (.f64 (.f64 (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))))) -1)) 2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (pow.f64 lambda2 3)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 3))) 1/2)) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (.f64 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))))) -1)))))
(+.f64 (.f64 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))) 2))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 1/2 (.f64 (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))) 2)) (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 3))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) 3)))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (neg.f64 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (.f64 1/2 (.f64 (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (neg.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2)) (.f64 (pow.f64 lambda2 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))))) (.f64 1/2 (.f64 (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (neg.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2)) (.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 lambda2 3)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) 3))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (neg.f64 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 1/2 (+.f64 (.f64 (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (neg.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2)) (.f64 (pow.f64 lambda2 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))) (.f64 (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (neg.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2)) (.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 lambda2 3)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) 3)))))))))
(.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))))
(.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))
(+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) (.f64 -1 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 phi2)))) lambda1)))
(+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 -1 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))))
(.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1)))
(+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1)) 2)) lambda2) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))) (+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) (.f64 -1 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 phi2)))) lambda1))))
(+.f64 (+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 -1 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))))) (.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (pow.f64 (.f64 -1 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) 2)) lambda2) (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))) 1/2)))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (/.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (-.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1)) 2))) lambda2))))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 1/2 (/.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (-.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1)) 2))) lambda2))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1)) 2)) lambda2) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1)) 2)) lambda1) (pow.f64 lambda2 2)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))) (+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))) (.f64 -1 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1)))))
(+.f64 (.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (pow.f64 (.f64 -1 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) 2)) lambda2) (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 1/2)) (+.f64 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (+.f64 (.f64 -1 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (.f64 (.f64 lambda1 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (pow.f64 (.f64 -1 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) 2)) (pow.f64 lambda2 2))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 1/2)))))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 lambda1 (/.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (-.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1)) 2))) (pow.f64 lambda2 2))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (/.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (-.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1)) 2))) lambda2)))))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1))) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (+.f64 (/.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (-.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1)) 2))) lambda2) (.f64 lambda1 (/.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (-.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1)) 2))) (pow.f64 lambda2 2))))))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda2 (neg.f64 lambda1))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (.f64 lambda1 (/.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (-.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1)) 2))) (pow.f64 lambda2 2))) (/.f64 (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (-.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1)) 2))) lambda2)))))
(.f64 -1 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 phi2))))))
(.f64 lambda2 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) -1))
(.f64 lambda2 (neg.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))))
(+.f64 (.f64 -1 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))))) (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (*.f64 1/2 phi2)))) lambda1))
(+.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 lambda2 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) -1)))
(+.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 lambda2 (neg.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))
(.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1) 2)) lambda2) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))) (+.f64 (.f64 -1 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))))) (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1)))
(+.f64 (.f64 lambda2 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) -1)) (+.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2))) lambda2) (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) -1/2))))
(+.f64 (+.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 lambda2 (neg.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2))) lambda2))))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda1 (neg.f64 lambda2))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2))) lambda2) -1/2)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1) 2)) lambda2) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1) 2)) lambda1) (pow.f64 lambda2 2)) (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))) (+.f64 (.f64 -1 (.f64 lambda2 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))))) (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) lambda1))))
(+.f64 (.f64 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2))) lambda2) (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) -1/2)) (+.f64 (.f64 lambda2 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) -1)) (+.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 (.f64 lambda1 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2))) (pow.f64 lambda2 2))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) -1/2)))))
(+.f64 (.f64 lambda2 (neg.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))) (+.f64 (+.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2))) lambda2)))) (.f64 -1/2 (.f64 lambda1 (.f64 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2))) (pow.f64 lambda2 2)) (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))))))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda1 (neg.f64 lambda2))) (.f64 (.f64 -1/2 (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (+.f64 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2))) lambda2) (.f64 lambda1 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))) 2))) (pow.f64 lambda2 2))))))
(+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 lambda1 (neg.f64 lambda2))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (cos.f64 (.f64 phi2 1/2))) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (.f64 lambda1 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) 2))) (pow.f64 lambda2 2))) (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (-.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (pow.f64 (.f64 lambda1 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))) 2))) lambda2)))))
(+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(+.f64 (pow.f64 phi2 2) (+.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi2))) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(+.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.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) (.f64 (pow.f64 (cos.f64 (*.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))
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(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (+.f64 (pow.f64 phi2 2) (.f64 phi1 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) -1/2)) (*.f64 phi2 -2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.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 (pow.f64 phi1 2) (+.f64 1 (.f64 -1/8 (.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)))))
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(+.f64 (pow.f64 phi2 2) (+.f64 (.f64 phi1 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2))) -1/2)) (.f64 phi2 -2))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (pow.f64 phi1 2) (+.f64 1 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/8)))))))
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(+.f64 (pow.f64 phi2 2) (+.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.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 (pow.f64 phi1 2) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 1/48 (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (*.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
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(pow.f64 phi1 2)
(+.f64 (pow.f64 phi1 2) (.f64 -2 (.f64 phi1 phi2)))
(+.f64 (pow.f64 phi1 2) (.f64 phi1 (.f64 phi2 -2)))
(+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 -2 (.f64 phi1 phi2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 phi1 (.f64 phi2 -2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (+.f64 (pow.f64 phi2 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 -2 (.f64 phi1 phi2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 phi1 (.f64 phi2 -2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (+.f64 (pow.f64 phi2 2) (.f64 phi2 (.f64 phi1 -2)))))
(pow.f64 phi1 2)
(+.f64 (pow.f64 phi1 2) (.f64 -2 (.f64 phi1 phi2)))
(+.f64 (pow.f64 phi1 2) (.f64 phi1 (.f64 phi2 -2)))
(+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -2 (*.f64 phi1 phi2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))) (+.f64 (pow.f64 phi1 2) (.f64 phi1 (*.f64 phi2 -2)))))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))) (+.f64 (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2))) (pow.f64 phi2 2)))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))) (+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))) (+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -2 (*.f64 phi1 phi2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))) (+.f64 (pow.f64 phi1 2) (.f64 phi1 (*.f64 phi2 -2)))))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))) (+.f64 (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2))) (pow.f64 phi2 2)))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))) (+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))) (+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2))
(+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -2 phi1)) phi2) (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(+.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))) (.f64 phi2 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/2)) (*.f64 phi1 -2))))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))) (+.f64 (.f64 phi2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1)))) (*.f64 phi1 -2))) (pow.f64 phi1 2)))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (*.f64 phi1 -2)))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -2 phi1)) phi2) (+.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) 1) (pow.f64 phi2 2)) (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(+.f64 (.f64 (pow.f64 phi2 2) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4)))) (+.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))) (.f64 phi2 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/2)) (*.f64 phi1 -2)))))
(+.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 phi2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1)))) (.f64 phi1 -2))) (.f64 (pow.f64 phi2 2) (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/4 (cos.f64 (*.f64 1/2 phi1))))))))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))) (+.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 phi2 2) (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/4 (cos.f64 (.f64 1/2 phi1))))))) (.f64 phi2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (*.f64 phi1 -2)))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -2 phi1)) phi2) (+.f64 (.f64 (+.f64 (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 1/16 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 phi2 3)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) 1) (pow.f64 phi2 2)) (+.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (.f64 (pow.f64 phi2 3) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) 1/16)) (.f64 1/48 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (.f64 (pow.f64 phi2 2) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4)))) (+.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))) (.f64 phi2 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/2)) (.f64 phi1 -2))))))
(+.f64 (.f64 phi2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1)))) (.f64 phi1 -2))) (+.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 (pow.f64 phi2 3) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))) 1/12)) (.f64 (pow.f64 phi2 2) (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/4 (cos.f64 (*.f64 1/2 phi1)))))))))
(+.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))) (+.f64 (+.f64 (.f64 (pow.f64 phi2 2) (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/4 (cos.f64 (.f64 1/2 phi1)))))) (.f64 (pow.f64 phi2 3) (.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))) 1/12))) (.f64 phi2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (*.f64 phi1 -2)))))
(+.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1)))) (+.f64 (+.f64 (.f64 (pow.f64 phi2 2) (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/4 (cos.f64 (.f64 1/2 phi1)))))) (.f64 (pow.f64 phi2 3) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) 1/12)))) (.f64 phi2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (*.f64 phi1 -2)))))
(pow.f64 phi2 2)
(+.f64 (pow.f64 phi2 2) (.f64 -2 (.f64 phi1 phi2)))
(+.f64 (pow.f64 phi2 2) (.f64 phi1 (.f64 phi2 -2)))
(+.f64 (pow.f64 phi2 2) (.f64 phi2 (.f64 phi1 -2)))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 -2 (.f64 phi1 phi2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 phi1 (.f64 phi2 -2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (+.f64 (pow.f64 phi2 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 -2 (.f64 phi1 phi2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 phi1 (.f64 phi2 -2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (pow.f64 phi1 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (+.f64 (pow.f64 phi2 2) (.f64 phi2 (.f64 phi1 -2)))))
(pow.f64 phi2 2)
(+.f64 (pow.f64 phi2 2) (.f64 -2 (.f64 phi1 phi2)))
(+.f64 (pow.f64 phi2 2) (.f64 phi1 (.f64 phi2 -2)))
(+.f64 (pow.f64 phi2 2) (.f64 phi2 (.f64 phi1 -2)))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 -2 (.f64 phi1 phi2)) (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (pow.f64 phi2 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))) (+.f64 (pow.f64 phi1 2) (.f64 phi1 (*.f64 phi2 -2)))))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))) (+.f64 (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2))) (pow.f64 phi2 2)))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))) (+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))) (+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (+.f64 (.f64 -2 (.f64 phi1 phi2)) (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) (.f64 (cos.f64 (*.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (pow.f64 phi2 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))) (+.f64 (pow.f64 phi1 2) (.f64 phi1 (*.f64 phi2 -2)))))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))) (+.f64 (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2))) (pow.f64 phi2 2)))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))) (+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1)))))) (+.f64 (pow.f64 phi2 2) (+.f64 (pow.f64 phi1 2) (.f64 phi2 (.f64 phi1 -2)))))
(+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) (pow.f64 (-.f64 phi1 phi2) 2))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 2))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2))))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))) (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) -2))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 2))) (.f64 -2 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (+.f64 (.f64 -2 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))) (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) -2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 2))) (+.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 -2 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (+.f64 (.f64 -2 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))) (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) -2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 2))) (+.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 -2 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2)))
(.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (.f64 -2 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) -2)))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 -2 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (+.f64 (.f64 -2 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) (pow.f64 (-.f64 phi1 phi2) 2))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) -2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 2))) (+.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 -2 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (+.f64 (.f64 -2 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) (pow.f64 (-.f64 phi1 phi2) 2))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) -2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 2))) (+.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 -2 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2)))
(.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (.f64 -2 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) -2)))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 -2 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (+.f64 (.f64 -2 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) (pow.f64 (-.f64 phi1 phi2) 2))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) -2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 2))) (+.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 -2 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (+.f64 (.f64 -2 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) (pow.f64 (-.f64 phi1 phi2) 2))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) -2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 2))) (+.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 -2 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (pow.f64 (-.f64 phi1 phi2) 2))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (+.f64 (.f64 -2 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) -2)) (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))))
(+.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 -2 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (+.f64 (.f64 -2 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) (pow.f64 (-.f64 phi1 phi2) 2))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) -2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 2))) (+.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 -2 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (+.f64 (.f64 -2 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))) (pow.f64 (-.f64 phi1 phi2) 2))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) -2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 2))) (+.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 -2 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))
(.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 2)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) -2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 2))) (.f64 -2 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (+.f64 (.f64 -2 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))) (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) -2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 2))) (+.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 -2 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (+.f64 (.f64 -2 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))) (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) -2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 2))) (+.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 -2 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2))))
(.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 2)))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) -2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 2))) (.f64 -2 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (+.f64 (.f64 -2 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))) (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) -2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 2))) (+.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 -2 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2))) (+.f64 (.f64 -2 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))) (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 phi2)))))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 lambda1 2) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) -2)))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (pow.f64 lambda2 2))) (+.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))) (.f64 -2 (.f64 lambda2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))))))))
(+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (+.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda1 2)) (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (pow.f64 lambda2 2)) (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -2)))))
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(/.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (*.f64 (cos.f64 (/.f64 phi2 2)) 4)) 4)
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (cos.f64 (/.f64 phi2 2)))
(/.f64 (neg.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (cos.f64 (/.f64 phi2 2)))) -1)
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (cos.f64 (/.f64 phi2 2)))
(/.f64 (neg.f64 (cos.f64 (*.f64 (+.f64 phi1 phi2) 1/2))) (neg.f64 (/.f64 1 (cos.f64 (/.f64 phi2 2)))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (cos.f64 (/.f64 phi2 2)))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 (/.f64 1 (cos.f64 (/.f64 phi2 2))) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)))) (neg.f64 (/.f64 (/.f64 1 (cos.f64 (/.f64 phi2 2))) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (cos.f64 (/.f64 phi2 2)))
(/.f64 -2 (neg.f64 (.f64 2 (/.f64 (/.f64 1 (cos.f64 (/.f64 phi2 2))) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (cos.f64 (/.f64 phi2 2)))
(/.f64 (.f64 2 (neg.f64 (.f64 (cos.f64 (*.f64 (+.f64 phi1 phi2) 1/2)) (cos.f64 (/.f64 phi2 2))))) -2)
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (cos.f64 (/.f64 phi2 2)))
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (cos.f64 (/.f64 phi2 2)) 4))) 8)
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (cos.f64 (/.f64 phi2 2)))
(/.f64 (neg.f64 (cos.f64 (/.f64 phi2 2))) (neg.f64 (/.f64 1 (cos.f64 (*.f64 (+.f64 phi1 phi2) 1/2)))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (cos.f64 (/.f64 phi2 2)))
(neg.f64 (neg.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (cos.f64 (/.f64 phi2 2)))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (cos.f64 (/.f64 phi2 2)))

eval605.0ms (2.3%)

Compiler: Compiled 28464 to 18503 computations (35% saved)

prune162.0ms (0.6%)

Pruning

36 alts after pruning (30 fresh and 6 done)

	Pruned	Kept	Total
New	631	6	637
Fresh	3	24	27
Picked	1	0	1
Done	1	6	7
Total	636	36	672

Error

3.6b

Counts

672 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	44.5b	(+.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi1)) R)) (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 (.f64 lambda1 R))))
✓	29.6b	(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
	60.1b	(.f64 (+.f64 (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 -1/8 (*.f64 (pow.f64 phi2 2) lambda1))))) R)
	59.8b	(.f64 (.f64 lambda1 R) (cos.f64 (/.f64 phi2 2)))
	53.0b	(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 (neg.f64 lambda1) R))
	53.2b	(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 lambda2 R))
	59.8b	(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 lambda1 R))
	44.5b	(.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 R (+.f64 (neg.f64 lambda1) lambda2)))
✓	53.2b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda1 (neg.f64 R)))
✓	45.8b	(*.f64 phi1 (neg.f64 R))
	53.2b	(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R))
	60.1b	(.f64 lambda2 (neg.f64 (.f64 (cos.f64 (*.f64 phi1 -1/2)) R)))
	51.8b	(.f64 lambda1 (.f64 (cos.f64 (*.f64 (+.f64 phi1 phi2) -1/2)) (neg.f64 R)))
	59.8b	(.f64 lambda1 (.f64 R (cos.f64 (/.f64 phi2 2))))
	62.1b	(*.f64 lambda1 R)
	48.8b	(.f64 R (-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi1)) 2) phi1) (.f64 -1/2 (pow.f64 (-.f64 lambda1 lambda2) 2))) phi1))
✓	29.6b	(*.f64 R (-.f64 phi2 phi1))
	60.2b	(.f64 R (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (+.f64 (.f64 phi2 -1/2) (.f64 1/48 (pow.f64 phi2 3)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))))))
✓	59.9b	(.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) -1/2))) lambda1))
	52.1b	(.f64 R (.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))) (neg.f64 lambda1)))
	53.2b	(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
	59.8b	(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) lambda1))
	57.4b	(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1))))))
	53.4b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))))
	38.7b	(.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	36.9b	(.f64 R (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (/.f64 1 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	40.3b	(.f64 R (sqrt.f64 (+.f64 (/.f64 (.f64 (-.f64 lambda1 lambda2) (.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 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)))))) (fabs.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.6b	(.f64 R (sqrt.f64 (+.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 phi2 1/2)))) (neg.f64 phi1))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	39.0b	(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.7b	(.f64 R (sqrt.f64 (+.f64 (.f64 (+.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (sin.f64 (.f64 phi2 1/2)) (.f64 -1/2 phi1))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.9b	(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (+.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (sin.f64 (.f64 phi2 1/2)) (.f64 -1/2 phi1)))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	46.3b	(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (.f64 (-.f64 lambda1 lambda2) (.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))) (neg.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))))))) (/.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (.f64 (-.f64 lambda1 lambda2) (.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))) (neg.f64 (.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)))))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	36.9b	(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	39.4b	(.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	54.0b	(*.f64 R (neg.f64 lambda1))
✓	46.1b	(*.f64 R phi2)

Compiler

Compiled 926 to 608 computations (34.3% saved)

regimes1.2s (4.7%)

Counts

57 → 2

Calls

Call 1

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

Outputs

(*.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

9 calls:

251.0ms	phi1
242.0ms	lambda1
193.0ms	lambda2
157.0ms	(-.f64 lambda1 lambda2)
150.0ms	R

Results

Error	Segments	Branch
23.5b	5	`R`
20.7b	6	`lambda1`
24.2b	5	`lambda2`
19.8b	6	`phi1`
22.1b	5	`phi2`
17.6b	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)))))`
17.6b	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))))`
17.6b	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)))`
19.1b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1283 to 648 computations (49.5% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.740668735995925e+306	+inf

Compiler

Compiled 45 to 28 computations (37.8% saved)

regimes728.0ms (2.8%)

Counts

44 → 8

Calls

Call 1

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

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

Calls

6 calls:

261.0ms	(-.f64 lambda1 lambda2)
109.0ms	phi2
107.0ms	phi1
84.0ms	lambda2
83.0ms	R

Results

Error	Segments	Branch
23.8b	5	`R`
23.0b	4	`lambda1`
24.2b	5	`lambda2`
19.9b	6	`phi1`
22.1b	6	`phi2`
18.9b	8	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 603 to 320 computations (46.9% saved)

bsearch1.0ms (0%)

Algorithm

7×	left-value

Steps

Time	Left	Right
0.0ms	-416347039816.815	-769281616.9556657
0.0ms	-3.4534448056664503e+64	-4.739733669313058e+63
0.0ms	-1.1336303391779822e+111	-3.796719589881115e+109
0.0ms	-6.497564307490118e+122	-4.466434696406807e+121
0.0ms	-2.961624922111523e+139	-5.206948588304463e+138
0.0ms	-1.1439706128151264e+148	-5.0442181005060155e+147
0.0ms	-2.8815268645436476e+169	-4.802997153053833e+168

Compiler

Compiled 43 to 28 computations (34.9% saved)

regimes838.0ms (3.2%)

Counts

41 → 8

Calls

Call 1

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

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

Calls

6 calls:

237.0ms	lambda2
164.0ms	R
142.0ms	(-.f64 lambda1 lambda2)
111.0ms	lambda1
92.0ms	phi2

Results

Error	Segments	Branch
24.2b	5	`R`
23.1b	4	`lambda1`
24.2b	5	`lambda2`
21.9b	5	`phi1`
22.1b	6	`phi2`
18.9b	8	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 515 to 286 computations (44.5% saved)

bsearch1.0ms (0%)

Algorithm

7×	left-value

Steps

Time	Left	Right
0.0ms	-416347039816.815	-769281616.9556657
0.0ms	-3.4534448056664503e+64	-4.739733669313058e+63
0.0ms	-1.1336303391779822e+111	-3.796719589881115e+109
0.0ms	-6.497564307490118e+122	-4.466434696406807e+121
0.0ms	-2.961624922111523e+139	-5.206948588304463e+138
0.0ms	-1.1439706128151264e+148	-5.0442181005060155e+147
0.0ms	-2.8815268645436476e+169	-4.802997153053833e+168

Compiler

Compiled 43 to 28 computations (34.9% saved)

regimes717.0ms (2.7%)

Counts

38 → 6

Calls

Call 1

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

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

Calls

6 calls:

168.0ms	(-.f64 lambda1 lambda2)
160.0ms	phi2
143.0ms	phi1
97.0ms	lambda2
75.0ms	R

Results

Error	Segments	Branch
24.7b	5	`R`
23.9b	4	`lambda1`
25.6b	3	`lambda2`
23.0b	5	`phi1`
23.9b	5	`phi2`
21.0b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 433 to 244 computations (43.6% saved)

bsearch1.0ms (0%)

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	-416347039816.815	-769281616.9556657
0.0ms	-3.4534448056664503e+64	-4.739733669313058e+63
0.0ms	-2.961624922111523e+139	-5.206948588304463e+138
0.0ms	-1.1439706128151264e+148	-5.0442181005060155e+147
0.0ms	-2.8815268645436476e+169	-4.802997153053833e+168

Compiler

Compiled 43 to 28 computations (34.9% saved)

regimes256.0ms (1%)

Counts

31 → 5

Calls

Call 1

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

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

Calls

5 calls:

62.0ms	phi1
62.0ms	phi2
52.0ms	lambda1
37.0ms	lambda2
36.0ms	R

Results

Error	Segments	Branch
28.3b	3	`R`
23.9b	4	`lambda1`
25.6b	3	`lambda2`
23.0b	5	`phi1`
23.9b	5	`phi2`

Compiler

Compiled 290 to 160 computations (44.8% saved)

bsearch132.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
44.0ms	7.257145660603237e-151	1.2971354553916134e-122
23.0ms	3.6381843021066784e-188	9.996237307479638e-188
36.0ms	-2.0595857138619312e-288	-9.767436606582914e-298
28.0ms	-375659787909176.94	-50096087645662.67

Results

84.0ms	420×	body	256	valid
21.0ms	37×	body	1024	valid
17.0ms	39×	body	512	valid

Compiler

Compiled 998 to 730 computations (26.9% saved)

regimes246.0ms (0.9%)

Counts

29 → 5

Calls

Call 1

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

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

Calls

5 calls:

60.0ms	phi1
58.0ms	phi2
47.0ms	lambda1
36.0ms	R
36.0ms	lambda2

Results

Error	Segments	Branch
28.3b	3	`R`
24.1b	4	`lambda1`
25.8b	3	`lambda2`
24.3b	5	`phi1`
23.9b	5	`phi2`

Compiler

Compiled 264 to 149 computations (43.6% saved)

bsearch149.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
32.0ms	7.67639796130553e-19	2.344734360775465e-16
39.0ms	-1.0366332801671173e-117	-5.633178245717183e-123
38.0ms	-2.3913551785533398e-76	-4.3986239638786965e-82
39.0ms	-2.6882661608765156e-38	-3.1099243318732645e-46

Results

97.0ms	473×	body	256	valid
23.0ms	32×	body	1024	valid
21.0ms	55×	body	512	valid

Compiler

Compiled 1049 to 779 computations (25.7% saved)

regimes163.0ms (0.6%)

Counts

28 → 4

Calls

Call 1

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

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

Calls

5 calls:

47.0ms	lambda1
46.0ms	phi1
35.0ms	lambda2
14.0ms	phi2
14.0ms	R

Results

Error	Segments	Branch
29.6b	1	`R`
24.1b	4	`lambda1`
25.8b	3	`lambda2`
27.9b	3	`phi1`
29.6b	1	`phi2`

Compiler

Compiled 253 to 143 computations (43.5% saved)

bsearch79.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
32.0ms	-9.78096745745281e+58	-3.041868857319214e+56
13.0ms	-4.739733669313058e+63	-3.732836724144625e+63
34.0ms	-2.8815268645436476e+169	-4.802997153053833e+168

Results

44.0ms	219×	body	256	valid
17.0ms	26×	body	1024	valid
10.0ms	27×	body	512	valid
2.0ms	13×	body	256	infinite
1.0ms	2×	body	512	infinite

Compiler

Compiled 523 to 390 computations (25.4% saved)

regimes309.0ms (1.2%)

Counts

27 → 4

Calls

Call 1

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

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

Calls

5 calls:

198.0ms	phi1
45.0ms	lambda1
34.0ms	lambda2
13.0ms	R
12.0ms	phi2

Results

Error	Segments	Branch
29.6b	1	`R`
24.1b	4	`lambda1`
25.8b	3	`lambda2`
27.9b	3	`phi1`
29.6b	1	`phi2`

Compiler

Compiled 242 to 138 computations (43% saved)

bsearch78.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
33.0ms	-9.78096745745281e+58	-3.041868857319214e+56
12.0ms	-4.739733669313058e+63	-3.732836724144625e+63
33.0ms	-2.8815268645436476e+169	-4.802997153053833e+168

Results

48.0ms	227×	body	256	valid
13.0ms	23×	body	1024	valid
10.0ms	22×	body	512	valid
2.0ms	8×	body	256	infinite
1.0ms	4×	body	512	infinite

Compiler

Compiled 523 to 390 computations (25.4% saved)

regimes146.0ms (0.6%)

Counts

25 → 4

Calls

Call 1

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

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

Calls

5 calls:

43.0ms	phi1
42.0ms	lambda1
32.0ms	lambda2
12.0ms	R
11.0ms	phi2

Results

Error	Segments	Branch
29.6b	1	`R`
25.0b	4	`lambda1`
26.8b	2	`lambda2`
27.9b	3	`phi1`
29.6b	1	`phi2`

Compiler

Compiled 220 to 126 computations (42.7% saved)

bsearch77.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
31.0ms	-9.78096745745281e+58	-3.041868857319214e+56
12.0ms	-4.739733669313058e+63	-3.732836724144625e+63
33.0ms	-2.8815268645436476e+169	-4.802997153053833e+168

Results

44.0ms	217×	body	256	valid
14.0ms	25×	body	1024	valid
13.0ms	30×	body	512	valid
1.0ms	3×	body	512	infinite
1.0ms	4×	body	256	infinite

Compiler

Compiled 511 to 384 computations (24.9% saved)

regimes88.0ms (0.3%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

5 calls:

26.0ms	phi1
18.0ms	lambda1
18.0ms	lambda2
11.0ms	phi2
9.0ms	R

Results

Error	Segments	Branch
29.6b	1	`R`
26.2b	2	`lambda1`
26.8b	2	`lambda2`
28.0b	3	`phi1`
29.6b	1	`phi2`

Compiler

Compiled 172 to 101 computations (41.3% saved)

bsearch32.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	-2.8815268645436476e+169	-4.802997153053833e+168

Results

13.0ms	61×	body	256	valid
8.0ms	14×	body	1024	valid
8.0ms	21×	body	512	valid
2.0ms	8×	body	256	infinite

Compiler

Compiled 219 to 160 computations (26.9% saved)

regimes85.0ms (0.3%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

5 calls:

26.0ms	phi1
18.0ms	lambda1
17.0ms	lambda2
11.0ms	phi2
9.0ms	R

Results

Error	Segments	Branch
29.6b	1	`R`
26.2b	2	`lambda1`
26.8b	2	`lambda2`
28.0b	3	`phi1`
29.6b	1	`phi2`

Compiler

Compiled 163 to 96 computations (41.1% saved)

bsearch36.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
36.0ms	-2.8815268645436476e+169	-4.802997153053833e+168

Results

13.0ms	57×	body	256	valid
13.0ms	22×	body	1024	valid
6.0ms	17×	body	512	valid
1.0ms	6×	body	256	infinite
0.0ms	1×	body	512	infinite

Compiler

Compiled 219 to 160 computations (26.9% saved)

regimes79.0ms (0.3%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

5 calls:

22.0ms	phi1
17.0ms	lambda1
16.0ms	lambda2
12.0ms	phi2
8.0ms	R

Results

Error	Segments	Branch
29.6b	1	`R`
27.1b	2	`lambda1`
26.8b	2	`lambda2`
28.0b	3	`phi1`
29.6b	1	`phi2`

Compiler

Compiled 136 to 80 computations (41.2% saved)

bsearch31.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
31.0ms	9.837278391007445e+129	1.5617543884318126e+131

Results

16.0ms	67×	body	256	valid
8.0ms	21×	body	512	valid
5.0ms	8×	body	1024	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 213 to 154 computations (27.7% saved)

regimes71.0ms (0.3%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

5 calls:

22.0ms	phi1
16.0ms	lambda1
15.0ms	lambda2
7.0ms	phi2
7.0ms	R

Results

Error	Segments	Branch
29.6b	1	`R`
27.1b	2	`lambda1`
26.8b	2	`lambda2`
28.0b	3	`phi1`
29.6b	1	`phi2`

Compiler

Compiled 120 to 71 computations (40.8% saved)

bsearch31.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
31.0ms	9.837278391007445e+129	1.5617543884318126e+131

Results

13.0ms	28×	body	512	valid
12.0ms	64×	body	256	valid
2.0ms	4×	body	1024	valid
2.0ms	8×	body	256	infinite

Compiler

Compiled 213 to 154 computations (27.7% saved)

regimes44.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

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

Outputs
(*.f64 R (neg.f64 lambda1))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))

Calls

5 calls:

11.0ms	lambda1
9.0ms	phi2
7.0ms	lambda2
7.0ms	R
6.0ms	phi1

Results

Error	Segments	Branch
29.6b	1	`R`
27.1b	2	`lambda1`
29.6b	1	`lambda2`
29.6b	1	`phi1`
29.6b	1	`phi2`

Compiler

Compiled 96 to 58 computations (39.6% saved)

bsearch34.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
34.0ms	-2.8815268645436476e+169	-4.802997153053833e+168

Results

12.0ms	61×	body	256	valid
10.0ms	24×	body	512	valid
6.0ms	11×	body	1024	valid
2.0ms	6×	body	512	infinite
2.0ms	10×	body	256	infinite

Compiler

Compiled 189 to 136 computations (28% saved)

regimes30.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	lambda1
6.0ms	phi1
5.0ms	R
5.0ms	phi2
5.0ms	lambda2

Results

Error	Segments	Branch
29.6b	1	`R`
27.1b	2	`lambda1`
29.6b	1	`lambda2`
29.6b	1	`phi1`
29.6b	1	`phi2`

Compiler

Compiled 64 to 42 computations (34.4% saved)

bsearch32.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
31.0ms	-2.8815268645436476e+169	-4.802997153053833e+168

Results

12.0ms	61×	body	256	valid
9.0ms	24×	body	512	valid
8.0ms	11×	body	1024	valid
1.0ms	8×	body	256	infinite

Compiler

Compiled 171 to 124 computations (27.5% saved)

regimes102.0ms (0.4%)

Counts

5 → 4

Calls

Call 1

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

Outputs
(*.f64 R (neg.f64 phi1))
(*.f64 R (neg.f64 lambda1))
(*.f64 R (neg.f64 phi1))
(*.f64 R phi2)

Calls

5 calls:

25.0ms	lambda2
25.0ms	R
25.0ms	lambda1
18.0ms	phi2
8.0ms	phi1

Results

Error	Segments	Branch
40.8b	7	`R`
38.0b	6	`lambda1`
38.7b	7	`lambda2`
33.8b	2	`phi1`
33.1b	4	`phi2`

Compiler

Compiled 53 to 38 computations (28.3% saved)

bsearch94.0ms (0.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
31.0ms	1.4106154652578436e-15	8.340581117200909e-12
22.0ms	1.190085747155073e-104	3.0882641145962387e-104
41.0ms	1.4424350875016436e-156	1.5755211869088024e-145

Results

62.0ms	315×	body	256	valid
16.0ms	24×	body	1024	valid
11.0ms	28×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 497 to 388 computations (21.9% saved)

regimes29.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

Outputs
(*.f64 R (neg.f64 lambda1))
(*.f64 R phi2)

Calls

5 calls:

9.0ms	phi2
7.0ms	lambda2
6.0ms	lambda1
3.0ms	R
3.0ms	phi1

Results

Error	Segments	Branch
46.1b	1	`R`
42.2b	2	`lambda1`
45.0b	2	`lambda2`
46.1b	1	`phi1`
40.4b	2	`phi2`

Compiler

Compiled 45 to 34 computations (24.4% saved)

bsearch24.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	2.344734360775465e-16	1.4106154652578436e-15

Results

16.0ms	83×	body	256	valid
4.0ms	9×	body	512	valid
3.0ms	4×	body	1024	valid

Compiler

Compiled 159 to 118 computations (25.8% saved)

regimes16.0ms (0.1%)

Accuracy

Total -16.2b remaining (-35.1%)

Threshold costs -16.2b (-35.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 R phi2)

Calls

5 calls:

4.0ms	lambda1
3.0ms	phi2
3.0ms	R
3.0ms	lambda2
3.0ms	phi1

Results

Error	Segments	Branch
46.1b	1	`R`
46.1b	1	`lambda1`
46.1b	1	`lambda2`
46.1b	1	`phi1`
46.1b	1	`phi2`

Compiler

Compiled 41 to 32 computations (22% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	2358

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.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))) 4999999999999999930155298801282288858501320919063181937624830367941782926336371924532423207114480333393189640196327307696676586425126051668137976185307698505365345832344687589284519925536573169820811633035563360005510084776652009298228906344280973600585744230586460911069533464925641061001338333875010535424) (.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 (-.f64 lambda1 lambda2) -19999999999999998677209896694859491247439004328606630372233856446154012933992072952513848651916918943418291091993970429510787616268896255865589170108074572349887700008960) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 (-.f64 lambda1 lambda2) -10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 (-.f64 lambda1 lambda2) -499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -999999999999999956819772641641815758405104477258378281795396215622882607621111488153942930947432322044748890112) (.f64 R (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (/.f64 1 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -20000000000000000426408380189087937446025157425359298935486676992) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -400000000000) (.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2)))))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -19999999999999998677209896694859491247439004328606630372233856446154012933992072952513848651916918943418291091993970429510787616268896255865589170108074572349887700008960) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 (-.f64 lambda1 lambda2) -10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 (-.f64 lambda1 lambda2) -499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -999999999999999956819772641641815758405104477258378281795396215622882607621111488153942930947432322044748890112) (.f64 R (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (/.f64 1 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -20000000000000000426408380189087937446025157425359298935486676992) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -400000000000) (.f64 R (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (/.f64 1 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (+.f64 (.f64 R (neg.f64 phi1)) (*.f64 R phi2)))))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -19999999999999998677209896694859491247439004328606630372233856446154012933992072952513848651916918943418291091993970429510787616268896255865589170108074572349887700008960) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 (-.f64 lambda1 lambda2) -10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 (-.f64 lambda1 lambda2) -20000000000000000426408380189087937446025157425359298935486676992) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -400000000000) (.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2)))))))
(if (<=.f64 phi1 -51000000000000) (+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2)) (if (<=.f64 phi1 -5890680864316837/5890680864316836766447387249177476247119386964598150177535756899376584320794655559932591384900650140340063891615625817543763223144510803885845624607194288107610698331745992221533871131893632012106238622173921469033288521558997823700137184806201826907368669534112523820726591354912103343876844956209126576528293888) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 phi1 4702927978231049/78382132970517478991165606422426233672355708521949855379734648809861125861064803929830588940942115354940041435601982738271645192059633193360683542052684438972998018132574030730004068581526319939960438784) (.f64 R phi2) (if (<=.f64 phi1 3251168171837857/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1)))) (+.f64 (.f64 R (neg.f64 phi1)) (*.f64 R phi2))))))
(if (<=.f64 phi2 -1915619426082361/95780971304118053647396689196894323976171195136475136) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 -7475954625723185/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 R (+.f64 (neg.f64 lambda1) lambda2))) (if (<=.f64 phi2 -447176168267805/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 4259306016766851/40564819207303340847894502572032) (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 R (+.f64 (neg.f64 lambda1) lambda2))) (+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))))))
(if (<=.f64 lambda1 -5599999999999999797216370198843121293958233689582933097717552562328040843062298473225927998456074514180550232844604566388418759886366587314288502779593004588389168578560) (.f64 lambda1 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) -1/2)) (neg.f64 R))) (if (<=.f64 lambda1 -3800000000000000110247624982544766478818476565143927190861119488) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 lambda1 -96999999999999995804175970169159770624616550793048345280512) (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 R (neg.f64 lambda1))) (+.f64 (.f64 R (neg.f64 phi1)) (*.f64 R phi2)))))
(if (<=.f64 lambda1 -7199999999999999858990761058714344338428666513444540120988333835425279099326182355949086266528765239677442247290415046874679996518953923455459171537571094706800797155328) (.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (if (<=.f64 lambda1 -3800000000000000110247624982544766478818476565143927190861119488) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 lambda1 -96999999999999995804175970169159770624616550793048345280512) (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 R (neg.f64 lambda1))) (+.f64 (.f64 R (neg.f64 phi1)) (*.f64 R phi2)))))
(if (<=.f64 lambda1 -22000000000000000220906877607170077818936029537198059344377969664818586442836460712985737276301982937994407472056295933715848651206542238171383438612203272889082595770368) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 (neg.f64 R))) (if (<=.f64 lambda1 -3800000000000000110247624982544766478818476565143927190861119488) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 lambda1 -93999999999999994439563890777855340399296773219919532654592) (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 R (neg.f64 lambda1))) (+.f64 (.f64 R (neg.f64 phi1)) (*.f64 R phi2)))))
(if (<=.f64 lambda1 -11000000000000000110453438803585038909468014768599029672188984832409293221418230356492868638150991468997203736028147966857924325603271119085691719306101636444541297885184) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 (neg.f64 R))) (+.f64 (.f64 R (neg.f64 phi1)) (*.f64 R phi2)))
(if (<=.f64 lambda1 -9600000000000000370646345159227338266822596943169642139624687638583429537583303296338949608436144352981352086674862882917567419795524016847024012547868540710469771460608) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1))) (+.f64 (.f64 R (neg.f64 phi1)) (*.f64 R phi2)))
(if (<=.f64 lambda2 76000000000000003558463791790060773766318603414179144259402850425611095665001260009817214304675905380830526768933967894215022084096) (+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2)) (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 lambda2 R)))
(if (<=.f64 lambda2 70000000000000001722190089948958112194805025507390772143670812084163640693489578788816311668890546610728133015403037239146941775872) (+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2)) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R)))
(if (<=.f64 lambda1 -26499999999999999504285106552807303987921524317201859694400405471690946299123382010996227283184946675204951150039207165042280296539354806561332164013189740841755796832256) (.f64 R (neg.f64 lambda1)) (+.f64 (.f64 R (neg.f64 phi1)) (*.f64 R phi2)))
(if (<=.f64 lambda1 -22000000000000000220906877607170077818936029537198059344377969664818586442836460712985737276301982937994407472056295933715848651206542238171383438612203272889082595770368) (.f64 R (neg.f64 lambda1)) (.f64 R (-.f64 phi2 phi1)))
(if (<=.f64 phi2 1327179569390243/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736) (.f64 R (neg.f64 phi1)) (if (<=.f64 phi2 766605432557051/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi2 4208996133570293/4951760157141521099596496896) (.f64 R (neg.f64 phi1)) (.f64 R phi2))))
(if (<=.f64 phi2 5577662641004209/5070602400912917605986812821504) (.f64 R (neg.f64 lambda1)) (.f64 R phi2))
(*.f64 R phi2)

Outputs
(if (<=.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))) 4999999999999999930155298801282288858501320919063181937624830367941782926336371924532423207114480333393189640196327307696676586425126051668137976185307698505365345832344687589284519925536573169820811633035563360005510084776652009298228906344280973600585744230586460911069533464925641061001338333875010535424) (.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 (-.f64 lambda1 lambda2) -19999999999999998677209896694859491247439004328606630372233856446154012933992072952513848651916918943418291091993970429510787616268896255865589170108074572349887700008960) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 (-.f64 lambda1 lambda2) -10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 (-.f64 lambda1 lambda2) -499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -999999999999999956819772641641815758405104477258378281795396215622882607621111488153942930947432322044748890112) (.f64 R (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (/.f64 1 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -20000000000000000426408380189087937446025157425359298935486676992) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -400000000000) (.f64 R (sqrt.f64 (+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2)))))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -19999999999999998677209896694859491247439004328606630372233856446154012933992072952513848651916918943418291091993970429510787616268896255865589170108074572349887700008960) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 (-.f64 lambda1 lambda2) -10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 (-.f64 lambda1 lambda2) -499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -999999999999999956819772641641815758405104477258378281795396215622882607621111488153942930947432322044748890112) (.f64 R (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (/.f64 1 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -20000000000000000426408380189087937446025157425359298935486676992) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -400000000000) (.f64 R (sqrt.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (/.f64 1 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (+.f64 (.f64 R (neg.f64 phi1)) (*.f64 R phi2)))))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -19999999999999998677209896694859491247439004328606630372233856446154012933992072952513848651916918943418291091993970429510787616268896255865589170108074572349887700008960) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 (-.f64 lambda1 lambda2) -10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 (-.f64 lambda1 lambda2) -20000000000000000426408380189087937446025157425359298935486676992) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -400000000000) (.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2)))))))
(if (<=.f64 phi1 -51000000000000) (+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2)) (if (<=.f64 phi1 -5890680864316837/5890680864316836766447387249177476247119386964598150177535756899376584320794655559932591384900650140340063891615625817543763223144510803885845624607194288107610698331745992221533871131893632012106238622173921469033288521558997823700137184806201826907368669534112523820726591354912103343876844956209126576528293888) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 phi1 4702927978231049/78382132970517478991165606422426233672355708521949855379734648809861125861064803929830588940942115354940041435601982738271645192059633193360683542052684438972998018132574030730004068581526319939960438784) (.f64 R phi2) (if (<=.f64 phi1 3251168171837857/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (+.f64 lambda2 (neg.f64 lambda1)))) (+.f64 (.f64 R (neg.f64 phi1)) (*.f64 R phi2))))))
(if (<=.f64 phi2 -1915619426082361/95780971304118053647396689196894323976171195136475136) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 -7475954625723185/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 R (+.f64 (neg.f64 lambda1) lambda2))) (if (<=.f64 phi2 -447176168267805/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 4259306016766851/40564819207303340847894502572032) (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 R (+.f64 (neg.f64 lambda1) lambda2))) (+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))))))
(if (<=.f64 lambda1 -5599999999999999797216370198843121293958233689582933097717552562328040843062298473225927998456074514180550232844604566388418759886366587314288502779593004588389168578560) (.f64 lambda1 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) -1/2)) (neg.f64 R))) (if (<=.f64 lambda1 -3800000000000000110247624982544766478818476565143927190861119488) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 lambda1 -96999999999999995804175970169159770624616550793048345280512) (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 R (neg.f64 lambda1))) (+.f64 (.f64 R (neg.f64 phi1)) (*.f64 R phi2)))))
(if (<=.f64 lambda1 -7199999999999999858990761058714344338428666513444540120988333835425279099326182355949086266528765239677442247290415046874679996518953923455459171537571094706800797155328) (.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1)))))) (if (<=.f64 lambda1 -3800000000000000110247624982544766478818476565143927190861119488) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 lambda1 -96999999999999995804175970169159770624616550793048345280512) (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 R (neg.f64 lambda1))) (+.f64 (.f64 R (neg.f64 phi1)) (*.f64 R phi2)))))
(if (<=.f64 lambda1 -22000000000000000220906877607170077818936029537198059344377969664818586442836460712985737276301982937994407472056295933715848651206542238171383438612203272889082595770368) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 (neg.f64 R))) (if (<=.f64 lambda1 -3800000000000000110247624982544766478818476565143927190861119488) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 lambda1 -93999999999999994439563890777855340399296773219919532654592) (.f64 (cos.f64 (.f64 phi1 -1/2)) (.f64 R (neg.f64 lambda1))) (+.f64 (.f64 R (neg.f64 phi1)) (*.f64 R phi2)))))
(if (<=.f64 lambda1 -11000000000000000110453438803585038909468014768599029672188984832409293221418230356492868638150991468997203736028147966857924325603271119085691719306101636444541297885184) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 lambda1 (neg.f64 R))) (+.f64 (.f64 R (neg.f64 phi1)) (*.f64 R phi2)))
(if (<=.f64 lambda1 -9600000000000000370646345159227338266822596943169642139624687638583429537583303296338949608436144352981352086674862882917567419795524016847024012547868540710469771460608) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) (neg.f64 lambda1))) (+.f64 (.f64 R (neg.f64 phi1)) (*.f64 R phi2)))
(if (<=.f64 lambda2 76000000000000003558463791790060773766318603414179144259402850425611095665001260009817214304675905380830526768933967894215022084096) (+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2)) (.f64 (cos.f64 (.f64 phi1 -1/2)) (*.f64 lambda2 R)))
(if (<=.f64 lambda2 70000000000000001722190089948958112194805025507390772143670812084163640693489578788816311668890546610728133015403037239146941775872) (+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2)) (.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi1)) R)))
(if (<=.f64 lambda1 -26499999999999999504285106552807303987921524317201859694400405471690946299123382010996227283184946675204951150039207165042280296539354806561332164013189740841755796832256) (.f64 R (neg.f64 lambda1)) (+.f64 (.f64 R (neg.f64 phi1)) (*.f64 R phi2)))
(if (<=.f64 lambda1 -22000000000000000220906877607170077818936029537198059344377969664818586442836460712985737276301982937994407472056295933715848651206542238171383438612203272889082595770368) (.f64 R (neg.f64 lambda1)) (.f64 R (-.f64 phi2 phi1)))
(if (<=.f64 phi2 1327179569390243/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736) (.f64 R (neg.f64 phi1)) (if (<=.f64 phi2 766605432557051/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi2 4208996133570293/4951760157141521099596496896) (.f64 R (neg.f64 phi1)) (.f64 R phi2))))
(if (<=.f64 phi2 5577662641004209/5070602400912917605986812821504) (.f64 R (neg.f64 lambda1)) (.f64 R phi2))
(*.f64 R phi2)

Compiler

Compiled 942 to 523 computations (44.5% saved)

soundness350.0ms (1.3%)

Algorithm

3×	egg-herbie

Rules

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

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	20	97
1	34	97
2	69	97
3	188	97
4	1072	97
5	2988	97
6	7375	97
0	460	19643
1	1195	18829
2	2711	17537
3	6739	17537

Stop Event

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

Compiler

Compiled 298 to 134 computations (55% saved)

end516.0ms (2%)

Remove: (sort lambda1 lambda2)
Compiler: Compiled 1301 to 545 computations (58.1% saved)