Details

analyze721.0ms (3.4%)

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)

sample3.5s (16.5%)

Results

1.4s	6688×	body	256	valid
633.0ms	2854×	body	256	infinite
545.0ms	791×	body	1024	valid
305.0ms	768×	body	512	valid
284.0ms	479×	body	1024	infinite
152.0ms	381×	body	512	infinite
94.0ms	9×	body	2048	valid

Bogosity

preprocess69.0ms (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)

simplify100.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

Inputs

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

36.5b

Counts

5 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.5b	(.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)))))

Status

Error

Program

▶

36.5b

(*.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)))))

Compiler

Compiled 37 to 21 computations (43.2% saved)

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))
✓	0.2b	(.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
✓	3.1b	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
✓	33.8b	(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)

series30.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

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

rewrite119.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	200
1	123	200
2	287	200
3	809	200
4	3591	200

Stop Event

1×	node limit

Counts

4 → 163

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

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

simplify328.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1660×	`rational.json-simplify-44`
1548×	`rational.json-simplify-47`
1474×	`rational.json-simplify-35`
1266×	`rational.json-simplify-46`
1074×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	722	34977
1	2356	32685

Stop Event

1×	node limit

Counts

331 → 455

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

Outputs
(sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))
(sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (neg.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))) (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)))) 2)) (pow.f64 lambda1 2))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 1 (pow.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2))) (pow.f64 lambda1 2)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 1/2 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) lambda2)) 2)) (pow.f64 lambda1 2)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (neg.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1))))))
(+.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 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 1 (pow.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2))) (pow.f64 lambda1 2)))) (.f64 1/2 (.f64 lambda2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 1 (pow.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2))) (.f64 (pow.f64 lambda1 3) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)) 3))))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (neg.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 1/2 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) lambda2)) 2)) (pow.f64 lambda1 2)))) (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) lambda2)) 2)) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 3)) lambda2)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)) 3))) 1/2)))))
(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)
(.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 lambda2 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) 2)) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1))) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (+.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 (-.f64 phi1 phi2) 2)) (.f64 1 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2))) (.f64 lambda1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))))
(+.f64 (+.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 lambda2 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))) (.f64 1/2 (/.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) 0) (.f64 lambda1 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))
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(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))) (+.f64 (.f64 1/2 (.f64 (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) -1/4) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))))) (pow.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2)) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))))) 2)) (.f64 (pow.f64 phi1 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))))))) (+.f64 (.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))) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))))) (.f64 1/2 (.f64 (pow.f64 phi1 3) (.f64 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 1/24 (sin.f64 (.f64 1/2 phi2)))) (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 1/8 (sin.f64 (.f64 1/2 phi2)))))) (.f64 1/2 (.f64 (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) -1/4) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))))) (pow.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2)) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))))) 2)) (/.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2)) (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))))))))))
phi1
(+.f64 (*.f64 -1 phi2) phi1)
(+.f64 phi1 (*.f64 phi2 -1))
(+.f64 phi1 (neg.f64 phi2))
(+.f64 (.f64 -1 phi2) (+.f64 phi1 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (*.f64 -1 phi2) 2)) phi1))))
(+.f64 phi1 (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (-.f64 (pow.f64 phi2 2) (.f64 1 (pow.f64 phi2 2)))) phi1)) (*.f64 phi2 -1)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 2) (-.f64 (pow.f64 phi2 2) (pow.f64 phi2 2))) phi1)) (+.f64 phi1 (neg.f64 phi2)))
(+.f64 (.f64 -1 phi2) (+.f64 phi1 (+.f64 (.f64 1/2 (/.f64 (.f64 phi2 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2))) (pow.f64 phi1 2))) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) phi1)))))
(+.f64 phi1 (+.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (-.f64 (pow.f64 phi2 2) (.f64 1 (pow.f64 phi2 2)))) phi1)) (.f64 1/2 (.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (-.f64 (pow.f64 phi2 2) (.f64 1 (pow.f64 phi2 2)))) (/.f64 phi2 (pow.f64 phi1 2))))) (.f64 phi2 -1)))
(+.f64 (neg.f64 phi2) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (-.f64 (pow.f64 phi2 2) (pow.f64 phi2 2))) phi1)) (+.f64 (.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (-.f64 (pow.f64 phi2 2) (pow.f64 phi2 2))) (*.f64 (/.f64 phi2 (pow.f64 phi1 2)) 1/2)) phi1)))
(*.f64 -1 phi1)
(*.f64 phi1 -1)
(neg.f64 phi1)
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 phi2 (*.f64 phi1 -1))
(+.f64 phi2 (neg.f64 phi1))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) (+.f64 (*.f64 -1 phi1) phi2))
(+.f64 (+.f64 phi2 (.f64 phi1 -1)) (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1))))) 2) phi1)))
(+.f64 phi2 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))) 2) phi1)) (neg.f64 phi1)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) 2) (.f64 phi2 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2))) (+.f64 (.f64 -1 phi1) phi2)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))) 2) phi1)) (+.f64 (+.f64 phi2 (.f64 phi1 -1)) (.f64 -1/2 (/.f64 (.f64 phi2 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))) 2)) (pow.f64 phi1 2)))))
(+.f64 (neg.f64 phi1) (+.f64 (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 phi2 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))) 2)) (pow.f64 phi1 2)))) (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))) 2) phi1))))
(sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))
(+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi1)) phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))) (.f64 1/2 (.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))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 phi1))) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))) (.f64 (.f64 phi2 (+.f64 (neg.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2))) 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 1/2 (.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))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))) (.f64 (pow.f64 phi2 2) (-.f64 (+.f64 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))))) (.f64 1/4 (pow.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 phi1))) 2))))) 2))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))) (+.f64 (.f64 1/2 (.f64 (-.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 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (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) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))) (.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 (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 1/2 (.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))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))))) (+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))) (.f64 (pow.f64 phi2 2) (-.f64 (+.f64 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))))) (.f64 1/4 (pow.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))))) 2))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))) (.f64 (pow.f64 phi2 3) (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))))) (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (-.f64 (+.f64 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))))) (.f64 1/4 (pow.f64 (.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (sin.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))))) 2)))) (sqrt.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)) (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))))))))))))
(+.f64 (.f64 1/2 (.f64 (-.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 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (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) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))))))) (+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))) (.f64 (.f64 phi2 (+.f64 (neg.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (cos.f64 (.f64 1/2 phi1))))) (.f64 phi1 -2))) 1/2))) (.f64 1/2 (.f64 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/8 (cos.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))))) (.f64 1/2 (.f64 (-.f64 (+.f64 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 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (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) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)) (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))))))))) (.f64 (pow.f64 phi2 3) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))))))))
phi2
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 phi2 (*.f64 phi1 -1))
(+.f64 phi2 (neg.f64 phi1))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (*.f64 -1 phi1) phi2))
(+.f64 (+.f64 phi2 (.f64 phi1 -1)) (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (*.f64 1 (pow.f64 phi1 2)))) phi2)))
(+.f64 phi2 (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 phi1 2))) phi2)) (neg.f64 phi1)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (.f64 -1 phi1) (+.f64 phi2 (.f64 1/2 (/.f64 (.f64 phi1 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)) (pow.f64 (.f64 -1 phi1) 2))) (pow.f64 phi2 2))))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (.f64 1 (pow.f64 phi1 2)))) phi2)) (+.f64 phi2 (+.f64 (.f64 1/2 (.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (.f64 1 (pow.f64 phi1 2)))) (/.f64 phi1 (pow.f64 phi2 2)))) (.f64 phi1 -1))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 phi1 2))) phi2)) (+.f64 (.f64 1/2 (.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 2) (pow.f64 phi1 2))) (/.f64 phi1 (pow.f64 phi2 2)))) (+.f64 phi2 (neg.f64 phi1))))
(*.f64 -1 phi2)
(*.f64 phi2 -1)
(neg.f64 phi2)
(+.f64 phi1 (*.f64 -1 phi2))
(+.f64 phi1 (*.f64 phi2 -1))
(+.f64 phi1 (neg.f64 phi2))
(+.f64 phi1 (+.f64 (.f64 -1 phi2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 -1 phi2)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2))))
(+.f64 phi1 (+.f64 (.f64 phi2 -1) (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 phi2 -1))))) 2) phi2))))
(+.f64 (neg.f64 phi2) (+.f64 phi1 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))) 2) phi2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 phi1 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi2 2))) (+.f64 phi1 (+.f64 (.f64 -1 phi2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)))))
(+.f64 (+.f64 phi1 (+.f64 (.f64 phi2 -1) (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 phi2 -1))))) 2) phi2)))) (.f64 -1/2 (.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 phi2 -1))))) 2) (/.f64 phi1 (pow.f64 phi2 2)))))
(+.f64 (neg.f64 phi2) (+.f64 (+.f64 phi1 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))) 2) phi2))) (.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))) 2) (*.f64 (/.f64 phi1 (pow.f64 phi2 2)) -1/2))))
(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 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) -1/2)))
(+.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 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) -1/2))) (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (*.f64 1/2 phi2)) -1/8)))
(+.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 -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 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi2)) -1/8)) (+.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) -1/2)) (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 1/2 phi2)) 1/48)))))
(+.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1))) (+.f64 (.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)))))
(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 phi1 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 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 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 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 phi1))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2)))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.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 -1/2 phi2)) (.f64 (pow.f64 phi2 2) (.f64 -1/8 (cos.f64 (*.f64 1/2 phi1))))))
(+.f64 (.f64 1/48 (.f64 (pow.f64 phi2 3) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 2))))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (+.f64 (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) -1/8))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)))))
(+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 phi2)) (.f64 (pow.f64 phi2 2) (.f64 -1/8 (cos.f64 (.f64 1/2 phi1))))) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/48 (pow.f64 phi2 3)))))
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 phi2 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 phi2 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 phi2 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2))))
(cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 phi2 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))
(.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))
(pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)
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(.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)
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(.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)
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(.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)
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(+.f64 (pow.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (.f64 lambda2 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) -2)))
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(.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))
(pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1))) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)))
(+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (.f64 lambda2 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) 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))))
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(.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))
(pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1))) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)))
(+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2) (.f64 lambda2 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) -2)))
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(+.f64 (.f64 lambda2 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) -2)) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.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)))
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(+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))
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(+.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))))))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1))))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))) 2)
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1))))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))) 2)
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
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(fabs.f64 (neg.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))
(.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))) 1)
(fabs.f64 (/.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))) (neg.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))))) (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)))))))
(fabs.f64 (.f64 (neg.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))) (/.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (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)))) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))))))
(.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))) 1) (fabs.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (/.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))))
(fabs.f64 (neg.f64 (neg.f64 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi1 phi2) 1/2))))))))
(.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (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 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))) 0)
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(+.f64 0 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(-.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))) 0)
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(/.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))) 1)
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(/.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 2 (cos.f64 (*.f64 (+.f64 phi1 phi2) 1/2)))) 2)
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
(/.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 (+.f64 phi1 phi2) 1/2))) 4) 4)
(.f64 4 (/.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 4))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))) 4) (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))) 4)) 8)
(.f64 4 (/.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 4))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))) 1)
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))

eval727.0ms (3.5%)

Compiler: Compiled 33615 to 17462 computations (48.1% saved)

prune142.0ms (0.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	522	13	535
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	523	13	536

Error

3.4b

Counts

536 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	39.0b	(.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 lambda1 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))
▶	57.4b	(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))
	40.6b	(.f64 R (+.f64 phi2 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))) 2) phi1)) (neg.f64 phi1))))
▶	28.6b	(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
▶	59.4b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
	59.0b	(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
	49.0b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
	51.5b	(.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
▶	37.2b	(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	45.2b	(.f64 R (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))))
	36.5b	(.f64 R (sqrt.f64 (+.f64 (/.f64 1 (/.f64 1 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	43.4b	(*.f64 R (neg.f64 phi1))
▶	46.6b	(*.f64 R phi2)

Compiler

Compiled 516 to 360 computations (30.2% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 8 computations (60% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite217.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

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

Outputs

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

simplify170.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

58 → 33

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
✓	0.2b	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)
✓	3.1b	(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))

Compiler

Compiled 42 to 21 computations (50% saved)

series9.0ms (0%)

Counts

3 → 48

Calls

27 calls:

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

rewrite122.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	88	69
2	188	69
3	412	69
4	826	69
5	2033	69
6	4029	69
7	5467	69
8	6725	69

Stop Event

1×	node limit

Counts

3 → 49

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

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

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

simplify189.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1748×	`rational.json-simplify-2`
1746×	`rational.json-simplify-51`
1450×	`rational.json-simplify-35`
866×	`rational.json-simplify-42`
840×	`rational.json-simplify-1`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	204	3503
1	536	3455
2	1385	3291
3	2869	3291
4	4122	3291
5	4678	3291
6	5129	3291
7	5454	3291
8	6693	3159

Stop Event

1×	node limit

Counts

97 → 171

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

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

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))
✓	0.1b	(.f64 lambda2 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))
✓	0.2b	(.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
	3.1b	(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))

Compiler

Compiled 87 to 46 computations (47.1% saved)

series36.0ms (0.2%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
20.0ms	phi1	@	0	(.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
5.0ms	phi2	@	-inf	(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))
1.0ms	lambda2	@	0	(.f64 lambda2 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))
1.0ms	R	@	0	(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))
1.0ms	phi2	@	0	(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))

rewrite123.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1858×	`rational.json-1`
1634×	`rational.json-simplify-35`
1098×	`exponential.json-3`
1098×	`rational.json-2`
1098×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	111
1	120	111
2	257	91
3	566	89
4	1203	89
5	3024	89
6	5463	89
7	7728	89

Stop Event

1×	node limit

Counts

3 → 41

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify219.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1492×	`rational.json-simplify-49`
1482×	`rational.json-simplify-35`
1302×	`rational.json-simplify-51`
1250×	`rational.json-simplify-53`
998×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	253	8525
1	666	8197
2	1382	6613
3	2814	6483
4	5439	6483
5	7395	6483

Stop Event

1×	node limit

Counts

173 → 191

Calls

Call 1

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

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

localize65.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
✓	0.1b	(.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2))
✓	0.2b	(pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)
✓	33.8b	(sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Compiler

Compiled 108 to 49 computations (54.6% saved)

series29.0ms (0.1%)

Counts

4 → 172

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	phi1	@	0	(sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
2.0ms	phi1	@	-inf	(sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
2.0ms	R	@	0	(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
1.0ms	lambda1	@	0	(sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
1.0ms	lambda2	@	0	(sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite170.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1524×	`rational.json-1`
1524×	`rational.json-2`
1524×	`rational.json-4`
1524×	`rational.json-3`
1518×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	172
1	132	172
2	268	172
3	620	172
4	1811	172
5	5262	172

Stop Event

1×	node limit

Counts

4 → 57

Calls

Call 1

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

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

simplify648.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1488×	`rational.json-simplify-49`
1212×	`rational.json-simplify-41`
818×	`rational.json-simplify-2`
796×	`rational.json-simplify-46`
756×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	549	20213
1	1458	18277
2	3360	16555
3	6093	16555
4	7407	16555

Stop Event

1×	node limit

Counts

229 → 426

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -1 (.f64 (*.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (pow.f64 phi2 2) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -1 (.f64 (*.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))
(+.f64 (.f64 1/2 (.f64 (.f64 phi1 (.f64 (pow.f64 phi2 3) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (pow.f64 phi2 2) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
phi2
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (*.f64 -1 phi1) phi2))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (.f64 -1 phi1) (+.f64 phi2 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) phi1) (pow.f64 phi2 2))))))
(*.f64 -1 phi2)
(+.f64 phi1 (*.f64 -1 phi2))
(+.f64 phi1 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)) (.f64 -1 phi2)))
(+.f64 phi1 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)) (+.f64 (.f64 -1 phi2) (.f64 -1/2 (/.f64 (.f64 phi1 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi2 2))))))
(sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))))))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (+.f64 (.f64 1/2 (.f64 (.f64 lambda2 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 3)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) 3))))) (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))))))
(.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) 2)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) 2)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) (.f64 1/2 (/.f64 (.f64 lambda2 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) 2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2)))))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2)) (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) 2)) lambda2) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 lambda1 2)))))))
(sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) 2)) (pow.f64 lambda2 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) 2)) (.f64 (pow.f64 lambda2 3) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) 2)) (pow.f64 lambda2 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))))))
(.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) 2)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) 2)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) 2)) lambda1) (.f64 (pow.f64 lambda2 2) (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))))
(.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2)) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2)) lambda1) (.f64 (pow.f64 lambda2 2) (cos.f64 (.f64 1/2 phi2))))) (.f64 -1 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))))))
(sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 3) (.f64 phi2 (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) 3))))) (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))))
phi1
(+.f64 (*.f64 -1 phi2) phi1)
(+.f64 (.f64 -1 phi2) (+.f64 phi1 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (*.f64 -1 phi2) 2)) phi1))))
(+.f64 (.f64 -1 phi2) (+.f64 phi1 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) phi2) (pow.f64 phi1 2))) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) phi1)))))
(*.f64 -1 phi1)
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 (.f64 -1 phi1) (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))))
(+.f64 (.f64 -1 phi1) (+.f64 (.f64 -1/2 (/.f64 (.f64 phi2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2))) (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)))))
(pow.f64 (-.f64 lambda1 lambda2) 2)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (-.f64 lambda1 lambda2) 2))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (pow.f64 phi2 4) (+.f64 (.f64 1/192 (pow.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 1/64 (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (.f64 (pow.f64 phi2 6) (+.f64 (.f64 -1/23040 (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 -1/1536 (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (pow.f64 phi2 4) (+.f64 (.f64 1/192 (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 1/64 (pow.f64 (-.f64 lambda1 lambda2) 2)))))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(-.f64 lambda1 lambda2)
(-.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2))) lambda1) lambda2)
(-.f64 (+.f64 (.f64 1/384 (.f64 (pow.f64 phi2 4) (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2))) lambda1)) lambda2)
(-.f64 (+.f64 (.f64 1/384 (.f64 (pow.f64 phi2 4) (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 phi2 6) (-.f64 lambda1 lambda2))) lambda1))) lambda2)
(.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
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(.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)
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(.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)
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(.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)
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(.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
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(.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
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(*.f64 R phi2)
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(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
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(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
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(+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) 2)) R) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)) 2)) (.f64 R lambda1)) (.f64 (pow.f64 lambda2 2) (cos.f64 (.f64 1/2 phi2))))) (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1))))))
(.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2)) R) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2)) (.f64 R lambda1)) (.f64 (pow.f64 lambda2 2) (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) 2)) R) (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))))) (+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) R)
(+.f64 (.f64 -1 (.f64 (.f64 phi1 (.f64 R phi2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) R))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (.f64 R (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (.f64 -1 (.f64 (.f64 phi1 (.f64 R phi2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) R)))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (.f64 R (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (.f64 -1 (.f64 (.f64 phi1 (.f64 R 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 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) R) (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 3) (.f64 R (.f64 (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2)) phi2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) 3))))))))
(*.f64 phi1 R)
(+.f64 (.f64 -1 (.f64 R phi2)) (*.f64 phi1 R))
(+.f64 (.f64 -1 (.f64 R phi2)) (+.f64 (.f64 1/2 (/.f64 (.f64 R (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2))) phi1)) (.f64 phi1 R)))
(+.f64 (.f64 -1 (.f64 R phi2)) (+.f64 (.f64 1/2 (/.f64 (.f64 R (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2))) phi1)) (+.f64 (.f64 phi1 R) (.f64 1/2 (/.f64 (.f64 R (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) phi2)) (pow.f64 phi1 2))))))
(.f64 -1 (.f64 phi1 R))
(+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) phi1)) (+.f64 (.f64 R phi2) (.f64 -1 (*.f64 phi1 R))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 R (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) phi1)) (+.f64 (.f64 R phi2) (+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 -1/2 (/.f64 (.f64 R (.f64 phi2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 phi1 2))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(-.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)
(.f64 1/2 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))))
(.f64 2 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 2))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)
(.f64 1 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) 1/2)
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 2) 2)
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)
(/.f64 (.f64 2 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4)) (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4))) 16)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)
(+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 0)
(+.f64 0 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 0)
(.f64 1/2 (.f64 2 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))
(.f64 2 (/.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 2))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 1)
(.f64 1 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(.f64 (.f64 2 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)) 1/2)
(.f64 4 (pow.f64 (/.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 2))
(.f64 (.f64 2 (pow.f64 (-.f64 lambda1 lambda2) 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) 2))
(.f64 (.f64 2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) 2))
(.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 2) 2)
(.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) 2) (*.f64 2 (pow.f64 (-.f64 lambda1 lambda2) 2)))
(.f64 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) 2) (.f64 2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) 2) 2) (pow.f64 (/.f64 (cos.f64 (*.f64 1/2 phi2)) 2) 2))
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) 2) 2) (pow.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 2))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda1 lambda2) 2)) 2) 1/4)
(/.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 1)
(/.f64 (.f64 2 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)) 2)
(/.f64 (.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 4) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 4)) (.f64 2 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 4))) 16)
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 0)
(/.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 1)
(/.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 (-.f64 lambda1 lambda2) 2)) 2)
(/.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 (-.f64 lambda1 lambda2) 4)) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda1 lambda2) 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda1 lambda2) 4))) (.f64 2 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda1 lambda2) 4)))) 16)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 1)
(+.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R) 0)
(+.f64 0 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R))
(-.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R) 0)
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R) 1)
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (+.f64 R R)) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (*.f64 R 4)) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (.f64 R 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (.f64 R 4))) (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (.f64 R 4)))) 16)
(pow.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R) 1)

Outputs
(sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -1 (.f64 (*.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (.f64 phi1 phi2) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (neg.f64 (.f64 phi1 phi2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (pow.f64 phi2 2) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -1 (.f64 (*.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (-.f64 1 (.f64 1 (pow.f64 (*.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 2))))) 1/2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (.f64 (.f64 phi1 phi2) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (pow.f64 phi2 2) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (-.f64 1 (pow.f64 (*.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 2))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (-.f64 1 (pow.f64 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 2))))) (neg.f64 (.f64 phi1 phi2)))))
(+.f64 (.f64 1/2 (.f64 (.f64 phi1 (.f64 (pow.f64 phi2 3) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (pow.f64 phi2 2) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (-.f64 1 (.f64 1 (pow.f64 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 2))))) 1/2)) (+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (.f64 (.f64 phi1 (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (-.f64 1 (.f64 1 (pow.f64 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 2)))) (pow.f64 phi2 3))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3))) 1/2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (pow.f64 phi2 2) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (-.f64 1 (pow.f64 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 2)))))) (+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (.f64 phi1 phi2) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (.f64 1/2 (.f64 phi1 (.f64 (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (-.f64 1 (pow.f64 (*.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 2))) (pow.f64 phi2 3)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (-.f64 1 (pow.f64 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 2))))) (neg.f64 (.f64 phi1 phi2)))) (.f64 (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4) (-.f64 1 (pow.f64 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) 2))) (.f64 (pow.f64 phi2 3) phi1)) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3)))))))
phi2
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 phi2 (*.f64 phi1 -1))
(+.f64 phi2 (neg.f64 phi1))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (*.f64 -1 phi1) phi2))
(+.f64 (+.f64 phi2 (.f64 phi1 -1)) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)) (*.f64 1 (pow.f64 phi1 2))) phi2)))
(+.f64 phi2 (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))) 2) (pow.f64 phi1 2))) phi2)) (neg.f64 phi1)))
(+.f64 phi2 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 -1/2))) 2) phi2)) (neg.f64 phi1)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (.f64 -1 phi1) (+.f64 phi2 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) phi1) (pow.f64 phi2 2))))))
(+.f64 (.f64 phi1 -1) (+.f64 (+.f64 phi2 (.f64 1/2 (.f64 phi1 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)) (.f64 1 (pow.f64 phi1 2))) (pow.f64 phi2 2))))) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)) (.f64 1 (pow.f64 phi1 2))) phi2))))
(+.f64 phi2 (+.f64 (+.f64 (neg.f64 phi1) (.f64 phi1 (.f64 (/.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) (pow.f64 phi1 2))) (pow.f64 phi2 2)) 1/2))) (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi1 2) (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))) 2) (pow.f64 phi1 2))) phi2))))
(+.f64 phi2 (+.f64 (.f64 phi1 (+.f64 -1 (.f64 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2) (pow.f64 phi2 2)) 1/2))) (.f64 1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 -1/2))) 2) phi2))))
(*.f64 -1 phi2)
(neg.f64 phi2)
(+.f64 phi1 (*.f64 -1 phi2))
(+.f64 phi1 (neg.f64 phi2))
(+.f64 phi1 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)) (.f64 -1 phi2)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) phi2)) (+.f64 phi1 (.f64 -1 phi2)))
(+.f64 phi1 (+.f64 (neg.f64 phi2) (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))) 2) phi2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 -1/2))) 2) phi2)) (+.f64 phi1 (neg.f64 phi2)))
(+.f64 phi1 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)) (+.f64 (.f64 -1 phi2) (.f64 -1/2 (/.f64 (.f64 phi1 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi2 2))))))
(+.f64 phi1 (+.f64 (.f64 -1 phi2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) (/.f64 phi1 (pow.f64 phi2 2)))) (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) phi2)))))
(+.f64 phi1 (+.f64 (neg.f64 phi2) (.f64 -1/2 (+.f64 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) phi2) (.f64 phi1 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) (pow.f64 phi2 2)))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2) (+.f64 (/.f64 phi1 (pow.f64 phi2 2)) (/.f64 1 phi2)))) (+.f64 phi1 (neg.f64 phi2)))
(sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))
(sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))
(sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 -1 (.f64 (.f64 lambda2 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (*.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (.f64 lambda1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2))) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (neg.f64 (.f64 lambda1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))))))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2))) 2))) (pow.f64 lambda1 2)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) 1/2)) (.f64 -1 (.f64 (.f64 lambda2 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (*.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))))))
(+.f64 (.f64 (.f64 lambda1 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2))) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (*.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (pow.f64 lambda1 2))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 1/2 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2))) 2)) (pow.f64 lambda1 2)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (neg.f64 (.f64 lambda1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 phi2 -1/2)) 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (+.f64 (.f64 1/2 (.f64 (.f64 lambda2 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 3)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)) 3))))) (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 1/2 (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (.f64 -1 (.f64 (.f64 lambda2 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) 2)) (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))))))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))))) (+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2))) 2))) (pow.f64 lambda1 2)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) 1/2))) (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2))) 2))) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (pow.f64 lambda1 3)) lambda2)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2)) 3))) 1/2))))
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(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2))) (neg.f64 (.f64 phi1 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)))) (neg.f64 (.f64 phi1 phi2))))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2))) (+.f64 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)))) (.f64 -1 phi2)) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)))) 1/2)) (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2))) (+.f64 (neg.f64 (.f64 phi1 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2))))))) (.f64 1/2 (.f64 (pow.f64 phi1 2) (.f64 (-.f64 1 (pow.f64 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2))))) 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)))) (neg.f64 (.f64 phi1 phi2))) (.f64 1/2 (.f64 (-.f64 1 (pow.f64 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2))))) 2)) (.f64 (pow.f64 phi1 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)))))))))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 3) (.f64 phi2 (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) 3))))) (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) phi2)) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)))))) (+.f64 (.f64 (.f64 phi2 (.f64 (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)))) (.f64 -1 phi2)) 2)) (pow.f64 phi1 3))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)) 3))) 1/2)) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2))) (.f64 (.f64 (pow.f64 phi1 2) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)))) (.f64 -1 phi2)) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)))) 1/2)))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2))) (+.f64 (neg.f64 (.f64 phi1 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2))))))) (.f64 1/2 (+.f64 (.f64 phi2 (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2))))) 2)) (pow.f64 phi1 3)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)) 3))))) (.f64 (pow.f64 phi1 2) (.f64 (-.f64 1 (pow.f64 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2))))) 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2))))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)))) (neg.f64 (.f64 phi1 phi2))) (.f64 1/2 (+.f64 (.f64 phi2 (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2))))) 2)) (pow.f64 phi1 3)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)) 3))))) (.f64 (-.f64 1 (pow.f64 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2))))) 2)) (.f64 (pow.f64 phi1 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2))))))))))
phi1
(+.f64 (*.f64 -1 phi2) phi1)
(+.f64 phi1 (*.f64 -1 phi2))
(+.f64 phi1 (neg.f64 phi2))
(+.f64 (.f64 -1 phi2) (+.f64 phi1 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (*.f64 -1 phi2) 2)) phi1))))
(+.f64 phi1 (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) (-.f64 (pow.f64 phi2 2) (.f64 1 (pow.f64 phi2 2)))) phi1)) (*.f64 -1 phi2)))
(+.f64 (neg.f64 phi2) (+.f64 phi1 (.f64 1/2 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))) 2) (pow.f64 phi2 2))) phi1))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 -1/2))) 2) phi1)) (+.f64 phi1 (neg.f64 phi2)))
(+.f64 (.f64 -1 phi2) (+.f64 phi1 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) phi2) (pow.f64 phi1 2))) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) phi1)))))
(+.f64 phi1 (+.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) (-.f64 (pow.f64 phi2 2) (.f64 1 (pow.f64 phi2 2)))) phi1)) (.f64 1/2 (.f64 phi2 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) (-.f64 (pow.f64 phi2 2) (.f64 1 (pow.f64 phi2 2)))) (pow.f64 phi1 2))))) (.f64 -1 phi2)))
(+.f64 (neg.f64 phi2) (+.f64 phi1 (.f64 1/2 (+.f64 (.f64 phi2 (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) (pow.f64 phi2 2))) (pow.f64 phi1 2))) (/.f64 (+.f64 (pow.f64 phi2 2) (-.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) (pow.f64 phi2 2))) phi1)))))
(+.f64 (.f64 1/2 (+.f64 (.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2) (/.f64 phi2 (pow.f64 phi1 2))) (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 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 phi1) (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))))
(+.f64 phi2 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) phi1)) (.f64 phi1 -1)))
(+.f64 (neg.f64 phi1) (+.f64 phi2 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))) 2) phi1))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 -1/2))) 2) phi1)) (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 -1 phi1) (+.f64 (.f64 -1/2 (/.f64 (.f64 phi2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2))) (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)))))
(+.f64 (.f64 phi1 -1) (+.f64 (+.f64 phi2 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) phi1))) (.f64 -1/2 (.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) (/.f64 phi2 (pow.f64 phi1 2))))))
(+.f64 phi2 (+.f64 (.f64 -1/2 (+.f64 (.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) (/.f64 phi2 (pow.f64 phi1 2))) (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) phi1))) (neg.f64 phi1)))
(+.f64 phi2 (+.f64 (.f64 -1/2 (+.f64 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2) phi1) (.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2) (/.f64 phi2 (pow.f64 phi1 2))))) (neg.f64 phi1)))
(pow.f64 (-.f64 lambda1 lambda2) 2)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (-.f64 lambda1 lambda2) 2))
(+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/4 (pow.f64 (.f64 phi2 (-.f64 lambda1 lambda2)) 2)))
(+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/4 (pow.f64 (.f64 (-.f64 lambda1 lambda2) phi2) 2)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (pow.f64 phi2 4) (+.f64 (.f64 1/192 (pow.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 1/64 (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 phi2 4) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) 1/192) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) 1/64))) (.f64 -1/4 (pow.f64 (*.f64 phi2 (-.f64 lambda1 lambda2)) 2))))
(+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 -1/4 (pow.f64 (.f64 (-.f64 lambda1 lambda2) phi2) 2)) (.f64 (pow.f64 phi2 4) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) 1/48))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (.f64 (pow.f64 phi2 6) (+.f64 (.f64 -1/23040 (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 -1/1536 (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (pow.f64 phi2 4) (+.f64 (.f64 1/192 (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 1/64 (pow.f64 (-.f64 lambda1 lambda2) 2)))))))
(+.f64 (.f64 -1/4 (pow.f64 (.f64 phi2 (-.f64 lambda1 lambda2)) 2)) (+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 phi2 4) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) 1/192) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) 1/64))) (.f64 (pow.f64 phi2 6) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/23040) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/1536))))))
(+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (+.f64 (.f64 (pow.f64 phi2 4) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) 1/48)) (.f64 (pow.f64 phi2 6) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/1440))) (.f64 -1/4 (pow.f64 (.f64 (-.f64 lambda1 lambda2) phi2) 2))))
(+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (+.f64 (.f64 -1/4 (pow.f64 (.f64 (-.f64 lambda1 lambda2) phi2) 2)) (.f64 (pow.f64 phi2 4) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) 1/48))) (.f64 (pow.f64 phi2 6) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/1440))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 -1/2))) 2)
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))
(+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2) (.f64 lambda2 (.f64 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2)) -2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 (pow.f64 lambda2 2) (.f64 (.f64 lambda1 lambda2) -2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 lambda2 (.f64 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2)) -2)) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2))))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 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 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 lambda2 (.f64 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2)) -2)) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2))))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2)) (.f64 (.f64 lambda1 lambda2) -2)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2))
(pow.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 -1/2))) 2)
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)))
(+.f64 (pow.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) 2) (.f64 lambda2 (.f64 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2)) -2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 (.f64 lambda1 lambda2) -2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 lambda2 (.f64 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2)) -2)) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2))))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 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 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 lambda2 (.f64 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2)) -2)) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2))))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2)) (.f64 (.f64 lambda1 lambda2) -2)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2))
(pow.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 -1/2))) 2)
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)))
(+.f64 (pow.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) 2) (.f64 lambda2 (.f64 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2)) -2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 (.f64 lambda1 lambda2) -2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 lambda2 (.f64 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2)) -2)) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2))))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 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 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 lambda2 (.f64 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2)) -2)) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2))))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2)) (.f64 (.f64 lambda1 lambda2) -2)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2))
(pow.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 -1/2))) 2)
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)))
(+.f64 (pow.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) 2) (.f64 lambda2 (.f64 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2)) -2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 (pow.f64 lambda1 2) (.f64 (.f64 lambda1 lambda2) -2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 lambda2 (.f64 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2)) -2)) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2))))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 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 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 lambda2 (.f64 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2)) -2)) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2))))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 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 phi2)) 2))
(pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 -1/2))) 2)
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))
(+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2) (.f64 lambda2 (.f64 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2)) -2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 (pow.f64 lambda2 2) (.f64 (.f64 lambda1 lambda2) -2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 lambda2 (.f64 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2)) -2)) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2))))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 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 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 lambda2 (.f64 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2)) -2)) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2))))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 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 phi2)) 2))
(pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 -1/2))) 2)
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)))
(+.f64 (pow.f64 (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))) 2) (.f64 lambda2 (.f64 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2)) -2)))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 (pow.f64 lambda2 2) (.f64 (.f64 lambda1 lambda2) -2)))
(+.f64 (.f64 -2 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 lambda2 (.f64 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2)) -2)) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2))))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 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 phi2)) 2) lambda1))) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 lambda1 2)) (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))))
(+.f64 (.f64 lambda2 (.f64 (.f64 lambda1 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2)) -2)) (.f64 (pow.f64 (cos.f64 (.f64 phi2 1/2)) 2) (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2))))
(.f64 (pow.f64 (cos.f64 (.f64 phi2 -1/2)) 2) (+.f64 (+.f64 (pow.f64 lambda2 2) (pow.f64 lambda1 2)) (.f64 (.f64 lambda1 lambda2) -2)))
(-.f64 lambda1 lambda2)
(-.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2))) lambda1) lambda2)
(+.f64 lambda1 (-.f64 (.f64 (pow.f64 phi2 2) (.f64 (-.f64 lambda1 lambda2) -1/8)) lambda2))
(+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 -1/8 (pow.f64 phi2 2))) (-.f64 lambda1 lambda2))
(+.f64 (.f64 (pow.f64 phi2 2) (.f64 (-.f64 lambda1 lambda2) -1/8)) (-.f64 lambda1 lambda2))
(-.f64 (+.f64 (.f64 1/384 (.f64 (pow.f64 phi2 4) (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2))) lambda1)) lambda2)
(+.f64 (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 (-.f64 lambda1 lambda2) -1/8))) (-.f64 (.f64 (pow.f64 phi2 4) (.f64 (-.f64 lambda1 lambda2) 1/384)) lambda2))
(+.f64 (+.f64 lambda1 (.f64 (-.f64 lambda1 lambda2) (.f64 -1/8 (pow.f64 phi2 2)))) (-.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 1/384 (pow.f64 phi2 4))) lambda2))
(+.f64 lambda1 (+.f64 (.f64 (pow.f64 phi2 2) (.f64 (-.f64 lambda1 lambda2) -1/8)) (-.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 1/384 (pow.f64 phi2 4))) lambda2)))
(-.f64 (+.f64 (.f64 1/384 (.f64 (pow.f64 phi2 4) (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 phi2 6) (-.f64 lambda1 lambda2))) lambda1))) lambda2)
(+.f64 (+.f64 (.f64 (pow.f64 phi2 6) (.f64 (-.f64 lambda1 lambda2) -1/46080)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 (-.f64 lambda1 lambda2) -1/8)))) (-.f64 (.f64 (pow.f64 phi2 4) (.f64 (-.f64 lambda1 lambda2) 1/384)) lambda2))
(+.f64 (+.f64 lambda1 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 -1/46080 (pow.f64 phi2 6))) (.f64 (-.f64 lambda1 lambda2) (.f64 -1/8 (pow.f64 phi2 2))))) (-.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 1/384 (pow.f64 phi2 4))) lambda2))
(+.f64 lambda1 (+.f64 (+.f64 (.f64 (pow.f64 phi2 2) (.f64 (-.f64 lambda1 lambda2) -1/8)) (.f64 (-.f64 lambda1 lambda2) (.f64 -1/46080 (pow.f64 phi2 6)))) (-.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 1/384 (pow.f64 phi2 4))) lambda2)))
(.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) -1))
(.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 1/2))))
(.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 -1/2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) -1)))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) -1)))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) -1)))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)
(.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))
(.f64 lambda1 (cos.f64 (.f64 phi2 -1/2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) -1)))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) -1)))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) -1)))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)
(.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))
(.f64 lambda1 (cos.f64 (.f64 phi2 -1/2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) -1)))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) -1)))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) -1)))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)
(.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))
(.f64 lambda1 (cos.f64 (.f64 phi2 -1/2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) -1)))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) -1)))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) -1)))
(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) -1))
(.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 1/2))))
(.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 -1/2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
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(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (neg.f64 lambda2)))
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(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (neg.f64 lambda2)))
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(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) -1))
(.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 1/2))))
(.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 -1/2))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 -1 (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))))
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(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (neg.f64 lambda2)))
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(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (neg.f64 lambda2)))
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(+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 lambda2 (neg.f64 (cos.f64 (.f64 phi2 1/2)))))
(.f64 (cos.f64 (.f64 phi2 -1/2)) (+.f64 lambda1 (neg.f64 lambda2)))
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(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
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(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 -1/2))) 2) (pow.f64 (-.f64 phi1 phi2) 2))))
(*.f64 R (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) R)
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(*.f64 R phi2)
(*.f64 phi2 R)
(+.f64 (.f64 -1 (.f64 phi1 R)) (*.f64 R phi2))
(+.f64 (.f64 phi2 R) (.f64 phi1 (*.f64 R -1)))
(+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
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(+.f64 (.f64 phi2 R) (+.f64 (.f64 1/2 (.f64 R (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)) (.f64 1 (pow.f64 phi1 2))) phi2))) (.f64 phi1 (.f64 R -1))))
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(sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4)) (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 4))) 16)
(sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)
(sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 0)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(+.f64 0 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(-.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 0)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 1/2 (.f64 2 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 2 (/.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 1)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 1 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 (.f64 2 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)) 1/2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 4 (pow.f64 (/.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 (.f64 2 (pow.f64 (-.f64 lambda1 lambda2) 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 (.f64 2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)) (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 2) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) 2) (*.f64 2 (pow.f64 (-.f64 lambda1 lambda2) 2)))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) 2) (.f64 2 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) 2) 2) (pow.f64 (/.f64 (cos.f64 (*.f64 1/2 phi2)) 2) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) 2) 2) (pow.f64 (/.f64 (-.f64 lambda1 lambda2) 2) 2))
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda1 lambda2) 2)) 2) 1/4)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(/.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 1)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(/.f64 (.f64 2 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(/.f64 (.f64 (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 4) 4)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 4)) 8)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 4)) (.f64 2 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) 4))) 16)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2)
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 0)
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2)))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2)))
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2)))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2)))
(-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 0)
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2)))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2)))
(/.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 1)
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2)))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2)))
(/.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 (-.f64 lambda1 lambda2) 2)) 2)
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2)))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2)))
(/.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 (-.f64 lambda1 lambda2) 4)) 4)
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2)))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2)))
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda1 lambda2) 4))) 8)
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2)))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2)))
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda1 lambda2) 4))) (.f64 2 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda1 lambda2) 4)))) 16)
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2)))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2)))
(pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 1)
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2)))
(.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2)))
(+.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R) 0)
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(+.f64 0 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(-.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R) 0)
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R) 1)
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (+.f64 R R)) 2)
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (*.f64 R 4)) 4)
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (.f64 R 4))) 8)
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (.f64 R 4))) (.f64 2 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (.f64 R 4)))) 16)
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(pow.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R) 1)
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 1/2))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 phi2 -1/2))) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

eval917.0ms (4.4%)

Compiler: Compiled 34407 to 22778 computations (33.8% saved)

prune386.0ms (1.8%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	929	18	947
Fresh	5	3	8
Picked	1	0	1
Done	2	2	4
Total	937	23	960

Error

3.3b

Counts

960 → 23

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.6b	(+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R)))
	59.2b	(.f64 (.f64 (cos.f64 (*.f64 phi2 -1/2)) R) (+.f64 lambda1 (neg.f64 lambda2)))
▶	59.0b	(.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) -1/2)) (neg.f64 (*.f64 lambda2 R)))
▶	51.8b	(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 (neg.f64 lambda1) R))
	60.2b	(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 R))
	50.3b	(.f64 (cos.f64 (.f64 phi2 -1/2)) (*.f64 lambda2 R))
	57.4b	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R (+.f64 lambda1 (neg.f64 lambda2))))
▶	60.6b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 R))
▶	43.4b	(*.f64 phi1 (neg.f64 R))
	50.3b	(.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) R))
	60.2b	(.f64 lambda1 (.f64 (cos.f64 (*.f64 phi2 -1/2)) R))
	28.6b	(*.f64 R (-.f64 phi2 phi1))
	40.6b	(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
	59.7b	(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (+.f64 lambda1 (neg.f64 lambda2))))
✓	59.4b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
	60.0b	(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 phi2 1/2)))))
	50.3b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 phi2 1/2))))
	49.0b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
	51.8b	(.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (*.f64 phi2 1/2)))))
	51.5b	(.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
	37.4b	(.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	36.5b	(.f64 R (sqrt.f64 (+.f64 (/.f64 1 (/.f64 1 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
✓	46.6b	(*.f64 R phi2)

Compiler

Compiled 677 to 493 computations (27.2% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 9 computations (64% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite112.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`rational.json-simplify-35`
1490×	`rational.json-1`
1490×	`rational.json-2`
1490×	`rational.json-3`
1480×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	69	23
2	152	19
3	330	17
4	670	17
5	1644	17
6	3346	17
7	5187	17
8	6963	17

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

simplify896.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

3576×	`rational.json-simplify-35`
2288×	`rational.json-simplify-2`
1250×	`rational.json-simplify-1`
790×	`rational.json-simplify-41`
768×	`rational.json-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	1635
1	220	1495
2	460	1141
3	1501	1141
4	3205	1141
5	4606	1141
6	5389	1141
7	5678	1141
8	5843	1141
9	5960	1141
10	6065	1141
11	6450	1141
12	6554	1141
13	6657	1141
14	6759	1141
15	6759	1141
16	6780	1141
17	6846	1141
18	7016	1141
19	7136	1141
20	7242	1141
21	7346	1141
22	7448	1141
23	7550	1141
24	7652	1141
25	7754	1141
26	7856	1141
27	7958	1141

Stop Event

1×	node limit

Counts

69 → 44

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

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

localize49.0ms (0.2%)

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 27 to 16 computations (40.7% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite138.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`rational.json-simplify-35`
1328×	`exponential.json-3`
1328×	`rational.json-1`
1328×	`rational.json-2`
1328×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	75	23
2	167	23
3	367	23
4	721	23
5	1731	23
6	3549	23
7	5151	23
8	6271	23
9	7709	23

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify243.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2698×	`rational.json-simplify-2`
1808×	`rational.json-simplify-35`
1266×	`rational.json-simplify-49`
1148×	`rational.json-simplify-53`
978×	`exponential.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	1243
1	176	1243
2	413	1225
3	1017	1207
4	2761	1207
5	4334	1207
6	5602	1207
7	6018	1207
8	6257	1207
9	6312	1207
10	7367	1207
11	7608	1207

Stop Event

1×	node limit

Counts

49 → 34

Calls

Call 1

Inputs
(*.f64 R lambda1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R lambda1))) (.f64 R lambda1))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R lambda1))) (+.f64 (.f64 R lambda1) (.f64 1/384 (.f64 (pow.f64 phi1 4) (*.f64 R lambda1)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R lambda1))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 phi1 6) (.f64 R lambda1))) (+.f64 (.f64 R lambda1) (.f64 1/384 (.f64 (pow.f64 phi1 4) (.f64 R lambda1))))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 R)) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 R)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 lambda1 R))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 lambda1 R))))
(-.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 R)) 0)
(/.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 R)) 1)
(/.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 (+.f64 R R))) 2)
(/.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (.f64 lambda1 R) 4)) 4)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda1 R)) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 R)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda1 R)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 R)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda1 R)) 8))))) 128)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 R)) 1)

Outputs
(*.f64 R lambda1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R lambda1))) (.f64 R lambda1))
(+.f64 (.f64 R lambda1) (.f64 -1/8 (.f64 (.f64 R lambda1) (pow.f64 phi1 2))))
(+.f64 (.f64 R lambda1) (.f64 R (.f64 (.f64 lambda1 (pow.f64 phi1 2)) -1/8)))
(.f64 R (+.f64 lambda1 (.f64 -1/8 (*.f64 lambda1 (pow.f64 phi1 2)))))
(.f64 lambda1 (+.f64 R (.f64 -1/8 (*.f64 R (pow.f64 phi1 2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R lambda1))) (+.f64 (.f64 R lambda1) (.f64 1/384 (.f64 (pow.f64 phi1 4) (*.f64 R lambda1)))))
(+.f64 (.f64 -1/8 (.f64 (.f64 R lambda1) (pow.f64 phi1 2))) (+.f64 (.f64 R lambda1) (.f64 1/384 (.f64 R (*.f64 lambda1 (pow.f64 phi1 4))))))
(+.f64 (.f64 R (.f64 (.f64 lambda1 (pow.f64 phi1 4)) 1/384)) (+.f64 (.f64 R lambda1) (.f64 R (.f64 (*.f64 lambda1 (pow.f64 phi1 2)) -1/8))))
(+.f64 (.f64 -1/8 (.f64 lambda1 (.f64 R (pow.f64 phi1 2)))) (.f64 R (+.f64 lambda1 (.f64 1/384 (.f64 lambda1 (pow.f64 phi1 4))))))
(+.f64 (.f64 R lambda1) (.f64 (.f64 R lambda1) (+.f64 (.f64 1/384 (pow.f64 phi1 4)) (*.f64 -1/8 (pow.f64 phi1 2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (.f64 R lambda1))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 phi1 6) (.f64 R lambda1))) (+.f64 (.f64 R lambda1) (.f64 1/384 (.f64 (pow.f64 phi1 4) (.f64 R lambda1))))))
(+.f64 (.f64 -1/8 (.f64 (.f64 R lambda1) (pow.f64 phi1 2))) (+.f64 (.f64 R lambda1) (+.f64 (.f64 1/384 (.f64 R (.f64 lambda1 (pow.f64 phi1 4)))) (.f64 -1/46080 (.f64 (.f64 R lambda1) (pow.f64 phi1 6))))))
(+.f64 (+.f64 (.f64 R (.f64 (.f64 lambda1 (pow.f64 phi1 4)) 1/384)) (+.f64 (.f64 R lambda1) (.f64 R (.f64 (.f64 lambda1 (pow.f64 phi1 2)) -1/8)))) (.f64 (.f64 R lambda1) (.f64 (pow.f64 phi1 6) -1/46080)))
(+.f64 (.f64 -1/8 (.f64 lambda1 (.f64 R (pow.f64 phi1 2)))) (+.f64 (.f64 R (+.f64 lambda1 (.f64 1/384 (.f64 lambda1 (pow.f64 phi1 4))))) (.f64 (.f64 R lambda1) (*.f64 -1/46080 (pow.f64 phi1 6)))))
(+.f64 (.f64 lambda1 (+.f64 R (.f64 -1/8 (.f64 R (pow.f64 phi1 2))))) (.f64 (.f64 R lambda1) (+.f64 (.f64 -1/46080 (pow.f64 phi1 6)) (*.f64 1/384 (pow.f64 phi1 4)))))
(+.f64 (.f64 lambda1 (+.f64 R (.f64 -1/8 (.f64 R (pow.f64 phi1 2))))) (.f64 (.f64 R lambda1) (+.f64 (.f64 1/384 (pow.f64 phi1 4)) (*.f64 -1/46080 (pow.f64 phi1 6)))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 R)) 0)
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 R)))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 lambda1 R))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 1/2 (.f64 lambda1 R))))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(-.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 R)) 0)
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(/.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 R)) 1)
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(/.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 (+.f64 R R))) 2)
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(/.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (.f64 lambda1 R) 4)) 4)
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(/.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda1 R)) 8) 8)
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 R)) 8)) 16)
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda1 R)) 8))) 32)
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 R)) 8)))) 64)
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda1 R)) 8))))) 128)
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(pow.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 R)) 1)
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi1 1/2))))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))

localize51.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 (*.f64 phi2 1/2))
✓	0.1b	(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 (neg.f64 lambda1) R))

Compiler

Compiled 31 to 17 computations (45.2% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite223.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1280×	`exponential.json-3`
1280×	`rational.json-1`
1280×	`rational.json-2`
1280×	`rational.json-4`
1280×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	85	38
2	196	38
3	443	38
4	957	38
5	2464	38
6	5001	38
7	6892	38

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify162.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2262×	`rational.json-simplify-51`
1970×	`rational.json-simplify-53`
1712×	`rational.json-simplify-35`
1608×	`rational.json-simplify-2`
954×	`rational.json-simplify-41`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	133	2051
1	313	2043
2	981	2019
3	2573	2019
4	3390	2019
5	4383	2019
6	4664	2019
7	4932	2019
8	5208	2013

Stop Event

1×	node limit

Counts

89 → 75

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)))
1
(+.f64 1 (*.f64 -1/8 (pow.f64 phi2 2)))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 phi2 2)) (.f64 1/384 (pow.f64 phi2 4))))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 phi2 2)) (+.f64 (.f64 -1/46080 (pow.f64 phi2 6)) (*.f64 1/384 (pow.f64 phi2 4)))))
(cos.f64 (*.f64 1/2 phi2))
(cos.f64 (*.f64 1/2 phi2))
(cos.f64 (*.f64 1/2 phi2))
(cos.f64 (*.f64 1/2 phi2))
(cos.f64 (*.f64 1/2 phi2))
(cos.f64 (*.f64 1/2 phi2))
(cos.f64 (*.f64 1/2 phi2))
(cos.f64 (*.f64 1/2 phi2))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 (neg.f64 R))) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 (neg.f64 R))))
(+.f64 -1 (-.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 R))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda1 (/.f64 R -2))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda1 (/.f64 R -2))))
(+.f64 (-.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 R))) -1)
(-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 (neg.f64 R))) 0)
(-.f64 0 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 R)))
(-.f64 (-.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 R))) 1)
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 (neg.f64 R))) 1)
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda1 (.f64 R -2))) 2)
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda1 (.f64 R -4))) 4)
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 R)) -1)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda1 (neg.f64 R))) 8) 8)
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 (+.f64 R R))) -2)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 (neg.f64 R))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda1 (neg.f64 R))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 (neg.f64 R))) 8)))) 64)
(pow.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 (neg.f64 R))) 1)
(neg.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 R)))
(+.f64 (cos.f64 (*.f64 phi2 1/2)) 0)
(+.f64 0 (cos.f64 (*.f64 phi2 1/2)))
(+.f64 (.f64 1/2 (cos.f64 (.f64 phi2 1/2))) (.f64 1/2 (cos.f64 (.f64 phi2 1/2))))
(-.f64 (cos.f64 (*.f64 phi2 1/2)) 0)
(.f64 1/2 (.f64 (cos.f64 (*.f64 phi2 1/2)) 2))
(.f64 (cos.f64 (.f64 phi2 1/2)) 1)
(.f64 1 (cos.f64 (.f64 phi2 1/2)))
(.f64 2 (.f64 1/2 (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 (cos.f64 (*.f64 phi2 1/2)) 2) 1/2)
(.f64 4 (/.f64 (cos.f64 (.f64 phi2 1/2)) 4))
(.f64 (.f64 (cos.f64 (*.f64 phi2 1/2)) 4) 1/4)
(.f64 (.f64 1/2 (cos.f64 (*.f64 phi2 1/2))) 2)
(.f64 1/4 (.f64 (cos.f64 (*.f64 phi2 1/2)) 4))
(.f64 (/.f64 (cos.f64 (.f64 phi2 1/2)) 4) 4)
(/.f64 (cos.f64 (*.f64 phi2 1/2)) 1)
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) 2) 2)
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) 4) 4)
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) 8) 8)
(/.f64 (.f64 2 (.f64 (cos.f64 (*.f64 phi2 1/2)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 phi2 1/2)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (*.f64 phi2 1/2)) 8)))) 64)
(pow.f64 (cos.f64 (*.f64 phi2 1/2)) 1)

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 (pow.f64 phi2 2) (*.f64 R lambda1))))
(+.f64 (.f64 R (neg.f64 lambda1)) (.f64 1/8 (.f64 R (.f64 lambda1 (pow.f64 phi2 2)))))
(.f64 R (+.f64 (.f64 1/8 (*.f64 lambda1 (pow.f64 phi2 2))) (neg.f64 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 (pow.f64 phi2 2) (.f64 R lambda1))) (+.f64 (.f64 -1 (.f64 R lambda1)) (.f64 R (.f64 (.f64 lambda1 (pow.f64 phi2 4)) -1/384))))
(+.f64 (.f64 R (neg.f64 lambda1)) (+.f64 (.f64 1/8 (.f64 R (.f64 lambda1 (pow.f64 phi2 2)))) (.f64 R (.f64 -1/384 (*.f64 lambda1 (pow.f64 phi2 4))))))
(+.f64 (.f64 R (neg.f64 lambda1)) (.f64 R (+.f64 (.f64 -1/384 (.f64 lambda1 (pow.f64 phi2 4))) (.f64 1/8 (.f64 lambda1 (pow.f64 phi2 2))))))
(+.f64 (.f64 R (neg.f64 lambda1)) (.f64 R (+.f64 (.f64 1/8 (.f64 lambda1 (pow.f64 phi2 2))) (.f64 -1/384 (.f64 lambda1 (pow.f64 phi2 4))))))
(.f64 R (+.f64 (.f64 -1/384 (.f64 lambda1 (pow.f64 phi2 4))) (+.f64 (.f64 1/8 (*.f64 lambda1 (pow.f64 phi2 2))) (neg.f64 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 (.f64 1/8 (.f64 (pow.f64 phi2 2) (.f64 R lambda1))) (+.f64 (.f64 -1 (.f64 R lambda1)) (+.f64 (.f64 1/46080 (.f64 (pow.f64 phi2 6) (.f64 R lambda1))) (.f64 R (.f64 (*.f64 lambda1 (pow.f64 phi2 4)) -1/384)))))
(+.f64 (.f64 1/8 (.f64 R (.f64 lambda1 (pow.f64 phi2 2)))) (+.f64 (.f64 R (.f64 -1/384 (.f64 lambda1 (pow.f64 phi2 4)))) (+.f64 (.f64 R (neg.f64 lambda1)) (.f64 R (.f64 1/46080 (.f64 lambda1 (pow.f64 phi2 6)))))))
(+.f64 (.f64 R (+.f64 (.f64 1/46080 (.f64 lambda1 (pow.f64 phi2 6))) (neg.f64 lambda1))) (.f64 R (+.f64 (.f64 -1/384 (.f64 lambda1 (pow.f64 phi2 4))) (.f64 1/8 (.f64 lambda1 (pow.f64 phi2 2))))))
(+.f64 (.f64 R (+.f64 (.f64 1/46080 (.f64 lambda1 (pow.f64 phi2 6))) (neg.f64 lambda1))) (.f64 R (+.f64 (.f64 1/8 (.f64 lambda1 (pow.f64 phi2 2))) (.f64 -1/384 (.f64 lambda1 (pow.f64 phi2 4))))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (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)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
1
(+.f64 1 (*.f64 -1/8 (pow.f64 phi2 2)))
(+.f64 1 (*.f64 (pow.f64 phi2 2) -1/8))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 phi2 2)) (.f64 1/384 (pow.f64 phi2 4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 phi2 2) -1/8) (.f64 (pow.f64 phi2 4) 1/384)))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 phi2 2)) (+.f64 (.f64 -1/46080 (pow.f64 phi2 6)) (*.f64 1/384 (pow.f64 phi2 4)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 phi2 2) -1/8) (+.f64 (.f64 (pow.f64 phi2 4) 1/384) (*.f64 (pow.f64 phi2 6) -1/46080))))
(+.f64 1 (+.f64 (.f64 (pow.f64 phi2 4) 1/384) (+.f64 (.f64 (pow.f64 phi2 2) -1/8) (*.f64 (pow.f64 phi2 6) -1/46080))))
(+.f64 (.f64 (pow.f64 phi2 4) 1/384) (+.f64 1 (+.f64 (.f64 (pow.f64 phi2 2) -1/8) (*.f64 (pow.f64 phi2 6) -1/46080))))
(cos.f64 (*.f64 1/2 phi2))
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(cos.f64 (*.f64 1/2 phi2))
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(cos.f64 (*.f64 1/2 phi2))
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(cos.f64 (*.f64 1/2 phi2))
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(cos.f64 (*.f64 1/2 phi2))
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(cos.f64 (*.f64 1/2 phi2))
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(cos.f64 (*.f64 1/2 phi2))
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(cos.f64 (*.f64 1/2 phi2))
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 (neg.f64 R))) 0)
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(+.f64 0 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 (neg.f64 R))))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(+.f64 -1 (-.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 R))))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda1 (/.f64 R -2))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda1 (/.f64 R -2))))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(+.f64 (-.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 R))) -1)
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 (neg.f64 R))) 0)
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(-.f64 0 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 R)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(-.f64 (-.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 R))) 1)
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 (neg.f64 R))) 1)
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda1 (.f64 R -2))) 2)
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda1 (.f64 R -4))) 4)
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 R)) -1)
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(/.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda1 (neg.f64 R))) 8) 8)
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 (+.f64 R R))) -2)
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 (neg.f64 R))) 8)) 16)
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda1 (neg.f64 R))) 8))) 32)
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 (neg.f64 R))) 8)))) 64)
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(pow.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 (neg.f64 R))) 1)
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(neg.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 R)))
(neg.f64 (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (neg.f64 (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 -1/2)) (neg.f64 lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
(+.f64 (cos.f64 (*.f64 phi2 1/2)) 0)
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(+.f64 0 (cos.f64 (*.f64 phi2 1/2)))
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(+.f64 (.f64 1/2 (cos.f64 (.f64 phi2 1/2))) (.f64 1/2 (cos.f64 (.f64 phi2 1/2))))
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(-.f64 (cos.f64 (*.f64 phi2 1/2)) 0)
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(.f64 1/2 (.f64 (cos.f64 (*.f64 phi2 1/2)) 2))
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(.f64 (cos.f64 (.f64 phi2 1/2)) 1)
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(.f64 1 (cos.f64 (.f64 phi2 1/2)))
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(.f64 2 (.f64 1/2 (cos.f64 (*.f64 phi2 1/2))))
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(.f64 (.f64 (cos.f64 (*.f64 phi2 1/2)) 2) 1/2)
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(.f64 4 (/.f64 (cos.f64 (.f64 phi2 1/2)) 4))
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(.f64 (.f64 (cos.f64 (*.f64 phi2 1/2)) 4) 1/4)
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(.f64 (.f64 1/2 (cos.f64 (*.f64 phi2 1/2))) 2)
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(.f64 1/4 (.f64 (cos.f64 (*.f64 phi2 1/2)) 4))
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(.f64 (/.f64 (cos.f64 (.f64 phi2 1/2)) 4) 4)
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(/.f64 (cos.f64 (*.f64 phi2 1/2)) 1)
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) 2) 2)
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) 4) 4)
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) 8) 8)
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(/.f64 (.f64 2 (.f64 (cos.f64 (*.f64 phi2 1/2)) 8)) 16)
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 phi2 1/2)) 8))) 32)
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (cos.f64 (*.f64 phi2 1/2)) 8)))) 64)
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))
(pow.f64 (cos.f64 (*.f64 phi2 1/2)) 1)
(cos.f64 (*.f64 phi2 1/2))
(cos.f64 (*.f64 phi2 -1/2))

localize77.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) -1/2)) (neg.f64 (*.f64 lambda2 R)))
✓	3.1b	(cos.f64 (*.f64 (+.f64 phi1 phi2) -1/2))

Compiler

Compiled 42 to 18 computations (57.1% saved)

series21.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
12.0ms	phi2	@	-inf	(.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) -1/2)) (neg.f64 (*.f64 lambda2 R)))
1.0ms	lambda2	@	0	(.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) -1/2)) (neg.f64 (*.f64 lambda2 R)))
1.0ms	R	@	0	(.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) -1/2)) (neg.f64 (*.f64 lambda2 R)))
1.0ms	phi1	@	-inf	(.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) -1/2)) (neg.f64 (*.f64 lambda2 R)))
1.0ms	phi1	@	inf	(.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) -1/2)) (neg.f64 (*.f64 lambda2 R)))

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1464×	`rational.json-simplify-35`
1394×	`exponential.json-3`
1394×	`rational.json-1`
1394×	`rational.json-2`
1394×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	96	50
2	206	50
3	472	50
4	1064	50
5	2757	50
6	4917	50
7	6665	50

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify241.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1726×	`rational.json-simplify-35`
1500×	`rational.json-simplify-51`
1172×	`rational.json-simplify-48`
1122×	`rational.json-simplify-41`
1074×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	184	3913
1	474	3849
2	1323	3753
3	2771	3697
4	4926	3697
5	6241	3697
6	6759	3697
7	7521	3697

Stop Event

1×	node limit

Counts

113 → 130

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

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

eval189.0ms (0.9%)

Compiler: Compiled 5013 to 3023 computations (39.7% saved)

prune70.0ms (0.3%)

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	278	5	283
Fresh	1	15	16
Picked	1	0	1
Done	0	6	6
Total	280	26	306

Error

3.3b

Counts

306 → 26

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.6b	(+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R)))
	59.2b	(.f64 (.f64 (cos.f64 (*.f64 phi2 -1/2)) R) (+.f64 lambda1 (neg.f64 lambda2)))
✓	51.8b	(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 (neg.f64 lambda1) R))
	60.2b	(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 R))
	50.3b	(.f64 (cos.f64 (.f64 phi2 -1/2)) (*.f64 lambda2 R))
	57.4b	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R (+.f64 lambda1 (neg.f64 lambda2))))
	60.0b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 (neg.f64 R)))
✓	60.6b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 R))
	60.0b	(.f64 (cos.f64 (.f64 -1/2 phi2)) (*.f64 lambda2 (neg.f64 R)))
✓	43.4b	(*.f64 phi1 (neg.f64 R))
▶	50.3b	(.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) R))
	60.2b	(.f64 lambda1 (.f64 (cos.f64 (*.f64 phi2 -1/2)) R))
▶	28.6b	(*.f64 R (-.f64 phi2 phi1))
	40.6b	(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
▶	51.8b	(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
	59.7b	(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (+.f64 lambda1 (neg.f64 lambda2))))
✓	59.4b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
	60.0b	(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 phi2 1/2)))))
	50.3b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 phi2 1/2))))
	49.0b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
▶	51.5b	(.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
	37.4b	(.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	36.5b	(.f64 R (sqrt.f64 (+.f64 (/.f64 1 (/.f64 1 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	51.9b	(*.f64 R (neg.f64 lambda1))
✓	46.6b	(*.f64 R phi2)
▶	61.3b	(*.f64 R lambda1)

Compiler

Compiled 686 to 502 computations (26.8% 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	phi2	@	inf	(*.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	phi1	@	inf	(*.f64 R (-.f64 phi2 phi1))

rewrite104.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify164.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

47 → 32

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize89.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 (*.f64 phi2 1/2))
✓	0.1b	(.f64 (cos.f64 (.f64 phi2 1/2)) R)
✓	0.1b	(.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) R))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite145.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1488×	`rational.json-simplify-35`
1328×	`exponential.json-3`
1328×	`rational.json-1`
1328×	`rational.json-2`
1328×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	75	40
2	167	40
3	367	40
4	721	40
5	1736	40
6	3545	40
7	5149	40
8	6274	40
9	7714	40

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify283.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2964×	`rational.json-simplify-2`
1940×	`rational.json-simplify-35`
1506×	`rational.json-simplify-1`
1302×	`rational.json-simplify-53`
950×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	1952
1	270	1934
2	605	1898
3	1384	1880
4	3217	1880
5	5710	1880
6	6058	1880
7	6356	1880
8	6554	1880
9	6773	1880
10	7784	1880

Stop Event

1×	node limit

Counts

86 → 61

Calls

Call 1

Inputs
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(*.f64 lambda2 R)
(+.f64 (.f64 lambda2 R) (.f64 -1/8 (.f64 lambda2 (.f64 R (pow.f64 phi2 2)))))
(+.f64 (.f64 lambda2 R) (+.f64 (.f64 -1/8 (.f64 lambda2 (.f64 R (pow.f64 phi2 2)))) (.f64 1/384 (.f64 lambda2 (*.f64 R (pow.f64 phi2 4))))))
(+.f64 (.f64 lambda2 R) (+.f64 (.f64 -1/8 (.f64 lambda2 (.f64 R (pow.f64 phi2 2)))) (+.f64 (.f64 -1/46080 (.f64 lambda2 (.f64 R (pow.f64 phi2 6)))) (.f64 1/384 (.f64 lambda2 (.f64 R (pow.f64 phi2 4)))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
R
(+.f64 (.f64 -1/8 (.f64 R (pow.f64 phi2 2))) R)
(+.f64 (.f64 -1/8 (.f64 R (pow.f64 phi2 2))) (+.f64 R (.f64 1/384 (.f64 R (pow.f64 phi2 4)))))
(+.f64 (.f64 -1/8 (.f64 R (pow.f64 phi2 2))) (+.f64 (.f64 -1/46080 (.f64 R (pow.f64 phi2 6))) (+.f64 R (.f64 1/384 (.f64 R (pow.f64 phi2 4))))))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) R)) 0)
(+.f64 0 (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) R)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 1/2 (.f64 lambda2 R))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 1/2 (.f64 lambda2 R))))
(-.f64 (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) R)) 0)
(/.f64 (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) R)) 1)
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda2 (+.f64 R R))) 2)
(/.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 R 4))) 4)
(/.f64 (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) R)) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) R)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) R)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) R)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) R)) 8))))) 128)
(pow.f64 (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) R)) 1)
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) R) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 phi2 1/2)) R))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 1/2 R)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 1/2 R)))
(-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) R) 0)
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) R) 1)
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (+.f64 R R)) 2)
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R 4)) 4)
(/.f64 (.f64 (.f64 (cos.f64 (*.f64 phi2 1/2)) R) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) R) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 phi2 1/2)) R) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) R) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 phi2 1/2)) R) 8))))) 128)
(pow.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) R) 1)

Outputs
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(*.f64 lambda2 R)
(+.f64 (.f64 lambda2 R) (.f64 -1/8 (.f64 lambda2 (.f64 R (pow.f64 phi2 2)))))
(+.f64 (.f64 lambda2 R) (.f64 lambda2 (.f64 R (.f64 (pow.f64 phi2 2) -1/8))))
(.f64 lambda2 (+.f64 R (.f64 -1/8 (*.f64 R (pow.f64 phi2 2)))))
(.f64 R (+.f64 lambda2 (.f64 lambda2 (*.f64 -1/8 (pow.f64 phi2 2)))))
(.f64 lambda2 (+.f64 R (.f64 (pow.f64 phi2 2) (*.f64 R -1/8))))
(+.f64 (.f64 lambda2 R) (+.f64 (.f64 -1/8 (.f64 lambda2 (.f64 R (pow.f64 phi2 2)))) (.f64 1/384 (.f64 lambda2 (*.f64 R (pow.f64 phi2 4))))))
(+.f64 (.f64 lambda2 R) (+.f64 (.f64 lambda2 (.f64 R (.f64 (pow.f64 phi2 2) -1/8))) (.f64 lambda2 (.f64 R (*.f64 (pow.f64 phi2 4) 1/384)))))
(+.f64 (.f64 R (.f64 (.f64 1/384 (pow.f64 phi2 4)) lambda2)) (.f64 lambda2 (+.f64 R (.f64 -1/8 (.f64 R (pow.f64 phi2 2))))))
(.f64 lambda2 (+.f64 R (.f64 R (+.f64 (.f64 -1/8 (pow.f64 phi2 2)) (.f64 1/384 (pow.f64 phi2 4))))))
(.f64 lambda2 (+.f64 R (.f64 R (+.f64 (.f64 1/384 (pow.f64 phi2 4)) (.f64 -1/8 (pow.f64 phi2 2))))))
(+.f64 (.f64 lambda2 R) (+.f64 (.f64 -1/8 (.f64 lambda2 (.f64 R (pow.f64 phi2 2)))) (+.f64 (.f64 -1/46080 (.f64 lambda2 (.f64 R (pow.f64 phi2 6)))) (.f64 1/384 (.f64 lambda2 (.f64 R (pow.f64 phi2 4)))))))
(+.f64 (.f64 lambda2 R) (+.f64 (.f64 lambda2 (.f64 R (.f64 (pow.f64 phi2 2) -1/8))) (+.f64 (.f64 lambda2 (.f64 R (.f64 (pow.f64 phi2 4) 1/384))) (.f64 lambda2 (.f64 R (.f64 (pow.f64 phi2 6) -1/46080))))))
(+.f64 (.f64 lambda2 (.f64 R (.f64 -1/46080 (pow.f64 phi2 6)))) (+.f64 (.f64 R (.f64 (.f64 1/384 (pow.f64 phi2 4)) lambda2)) (.f64 lambda2 (+.f64 R (.f64 -1/8 (*.f64 R (pow.f64 phi2 2)))))))
(+.f64 (.f64 lambda2 (+.f64 R (.f64 -1/8 (.f64 R (pow.f64 phi2 2))))) (.f64 lambda2 (.f64 R (+.f64 (.f64 -1/46080 (pow.f64 phi2 6)) (*.f64 1/384 (pow.f64 phi2 4))))))
(.f64 lambda2 (+.f64 R (.f64 R (+.f64 (.f64 -1/46080 (pow.f64 phi2 6)) (+.f64 (.f64 1/384 (pow.f64 phi2 4)) (*.f64 -1/8 (pow.f64 phi2 2)))))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
R
(+.f64 (.f64 -1/8 (.f64 R (pow.f64 phi2 2))) R)
(+.f64 R (.f64 R (.f64 (pow.f64 phi2 2) -1/8)))
(+.f64 R (.f64 -1/8 (.f64 R (pow.f64 phi2 2))))
(+.f64 R (.f64 R (.f64 -1/8 (pow.f64 phi2 2))))
(+.f64 R (.f64 (pow.f64 phi2 2) (.f64 R -1/8)))
(+.f64 (.f64 -1/8 (.f64 R (pow.f64 phi2 2))) (+.f64 R (.f64 1/384 (.f64 R (pow.f64 phi2 4)))))
(+.f64 R (+.f64 (.f64 R (.f64 (pow.f64 phi2 4) 1/384)) (.f64 R (.f64 (pow.f64 phi2 2) -1/8))))
(+.f64 R (+.f64 (.f64 -1/8 (.f64 R (pow.f64 phi2 2))) (.f64 R (.f64 1/384 (pow.f64 phi2 4)))))
(+.f64 R (.f64 R (+.f64 (.f64 -1/8 (pow.f64 phi2 2)) (*.f64 1/384 (pow.f64 phi2 4)))))
(+.f64 R (.f64 R (+.f64 (.f64 1/384 (pow.f64 phi2 4)) (*.f64 -1/8 (pow.f64 phi2 2)))))
(+.f64 (.f64 -1/8 (.f64 R (pow.f64 phi2 2))) (+.f64 (.f64 -1/46080 (.f64 R (pow.f64 phi2 6))) (+.f64 R (.f64 1/384 (.f64 R (pow.f64 phi2 4))))))
(+.f64 (.f64 R (.f64 (pow.f64 phi2 2) -1/8)) (+.f64 R (+.f64 (.f64 R (.f64 (pow.f64 phi2 4) 1/384)) (.f64 R (.f64 (pow.f64 phi2 6) -1/46080)))))
(+.f64 R (+.f64 (+.f64 (.f64 R (.f64 1/384 (pow.f64 phi2 4))) (.f64 R (.f64 -1/46080 (pow.f64 phi2 6)))) (.f64 -1/8 (.f64 R (pow.f64 phi2 2)))))
(+.f64 R (+.f64 (.f64 -1/8 (.f64 R (pow.f64 phi2 2))) (.f64 R (+.f64 (.f64 -1/46080 (pow.f64 phi2 6)) (*.f64 1/384 (pow.f64 phi2 4))))))
(+.f64 R (.f64 R (+.f64 (.f64 -1/46080 (pow.f64 phi2 6)) (+.f64 (.f64 1/384 (pow.f64 phi2 4)) (.f64 -1/8 (pow.f64 phi2 2))))))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) R)) 0)
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(+.f64 0 (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) R)))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 1/2 (.f64 lambda2 R))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 1/2 (.f64 lambda2 R))))
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(-.f64 (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) R)) 0)
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(/.f64 (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) R)) 1)
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda2 (+.f64 R R))) 2)
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(/.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 R 4))) 4)
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(/.f64 (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) R)) 8) 8)
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(/.f64 (.f64 2 (.f64 (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) R)) 8)) 16)
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) R)) 8))) 32)
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) R)) 8)))) 64)
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) R)) 8))))) 128)
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(pow.f64 (.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) R)) 1)
(.f64 lambda2 (.f64 R (cos.f64 (*.f64 1/2 phi2))))
(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) R) 0)
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(+.f64 0 (.f64 (cos.f64 (.f64 phi2 1/2)) R))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 1/2 R)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 1/2 R)))
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) R) 0)
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) R) 1)
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (+.f64 R R)) 2)
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R 4)) 4)
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(/.f64 (.f64 (.f64 (cos.f64 (*.f64 phi2 1/2)) R) 8) 8)
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) R) 8)) 16)
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 phi2 1/2)) R) 8))) 32)
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) R) 8)))) 64)
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 phi2 1/2)) R) 8))))) 128)
(.f64 R (cos.f64 (.f64 1/2 phi2)))
(pow.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) R) 1)
(.f64 R (cos.f64 (.f64 1/2 phi2)))

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 (*.f64 phi2 1/2))
✓	0.1b	(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
✓	0.1b	(.f64 (cos.f64 (.f64 phi2 1/2)) (neg.f64 lambda1))

Compiler

Compiled 34 to 21 computations (38.2% saved)

series3.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite166.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1346×	`exponential.json-3`
1346×	`rational.json-1`
1346×	`rational.json-2`
1346×	`rational.json-4`
1346×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	85	48
2	196	48
3	439	48
4	931	48
5	2426	48
6	4999	48
7	7064	48

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify366.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1834×	`rational.json-simplify-35`
1318×	`rational.json-simplify-2`
1230×	`exponential.json-simplify-26`
972×	`rational.json-simplify-51`
862×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	2482
1	323	2464
2	729	2428
3	1826	2398
4	4166	2398
5	5598	2398
6	6218	2398
7	6319	2398
8	6430	2398
9	6655	2398
10	7868	2398

Stop Event

1×	node limit

Counts

94 → 74

Calls

Call 1

Inputs
(*.f64 -1 lambda1)
(+.f64 (.f64 -1 lambda1) (.f64 1/8 (*.f64 (pow.f64 phi2 2) lambda1)))
(+.f64 (.f64 -1 lambda1) (+.f64 (.f64 1/8 (.f64 (pow.f64 phi2 2) lambda1)) (.f64 -1/384 (*.f64 (pow.f64 phi2 4) lambda1))))
(+.f64 (.f64 -1 lambda1) (+.f64 (.f64 1/8 (.f64 (pow.f64 phi2 2) lambda1)) (+.f64 (.f64 -1/384 (.f64 (pow.f64 phi2 4) lambda1)) (.f64 1/46080 (*.f64 (pow.f64 phi2 6) lambda1)))))
(.f64 -1 (.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 phi2)) lambda1))
(.f64 -1 (.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 phi2)) lambda1))
(.f64 -1 (.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 phi2)) lambda1))
(.f64 -1 (.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 phi2)) lambda1))
(.f64 -1 (.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 phi2)) lambda1))
(.f64 -1 (.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 phi2)) lambda1))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 -1 (.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 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 (.f64 (cos.f64 (.f64 phi2 1/2)) (neg.f64 lambda1)) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 phi2 1/2)) (neg.f64 lambda1)))
(+.f64 -1 (-.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda1 -1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda1 -1/2)))
(+.f64 (-.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1)) -1)
(-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (neg.f64 lambda1)) 0)
(-.f64 0 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1))
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (neg.f64 lambda1)) 1)
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 -2)) 2)
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 -4)) 4)
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1) -1)
(/.f64 (.f64 (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)) 8) 8)
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (+.f64 lambda1 lambda1)) -2)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (neg.f64 lambda1)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (neg.f64 lambda1)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (neg.f64 lambda1)) 8)))) 64)
(pow.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (neg.f64 lambda1)) 1)
(neg.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) lambda1))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 (neg.f64 lambda1) R)) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 (neg.f64 lambda1) R)))
(+.f64 -1 (-.f64 1 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 R))))
(+.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 lambda1 R) -1/2)) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (.f64 lambda1 R) -1/2)))
(-.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 (neg.f64 lambda1) R)) 0)
(-.f64 0 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 R)))
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 (neg.f64 lambda1) R)) 1)
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda1 (.f64 R -2))) 2)
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 R (.f64 lambda1 -4))) 4)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (neg.f64 lambda1) R)) 8) 8)
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 R)) -1)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 (neg.f64 lambda1) R)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (neg.f64 lambda1) R)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (neg.f64 lambda1) R)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (neg.f64 lambda1) R)) 8)))) 64)
(pow.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 (neg.f64 lambda1) R)) 1)
(neg.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 R)))

Outputs
(*.f64 -1 lambda1)
(neg.f64 lambda1)
(+.f64 (.f64 -1 lambda1) (.f64 1/8 (*.f64 (pow.f64 phi2 2) lambda1)))
(+.f64 (neg.f64 lambda1) (.f64 1/8 (.f64 lambda1 (pow.f64 phi2 2))))
(+.f64 (neg.f64 lambda1) (.f64 lambda1 (.f64 (pow.f64 phi2 2) 1/8)))
(.f64 lambda1 (+.f64 -1 (.f64 1/8 (pow.f64 phi2 2))))
(+.f64 (.f64 -1 lambda1) (+.f64 (.f64 1/8 (.f64 (pow.f64 phi2 2) lambda1)) (.f64 -1/384 (*.f64 (pow.f64 phi2 4) lambda1))))
(+.f64 (neg.f64 lambda1) (+.f64 (.f64 1/8 (.f64 lambda1 (pow.f64 phi2 2))) (.f64 -1/384 (.f64 lambda1 (pow.f64 phi2 4)))))
(+.f64 (neg.f64 lambda1) (+.f64 (.f64 lambda1 (.f64 (pow.f64 phi2 2) 1/8)) (.f64 lambda1 (.f64 (pow.f64 phi2 4) -1/384))))
(+.f64 (.f64 (pow.f64 phi2 2) (.f64 lambda1 1/8)) (.f64 lambda1 (+.f64 -1 (.f64 -1/384 (pow.f64 phi2 4)))))
(.f64 lambda1 (+.f64 (.f64 -1/384 (pow.f64 phi2 4)) (+.f64 -1 (*.f64 1/8 (pow.f64 phi2 2)))))
(+.f64 (.f64 -1 lambda1) (+.f64 (.f64 1/8 (.f64 (pow.f64 phi2 2) lambda1)) (+.f64 (.f64 -1/384 (.f64 (pow.f64 phi2 4) lambda1)) (.f64 1/46080 (*.f64 (pow.f64 phi2 6) lambda1)))))
(+.f64 (neg.f64 lambda1) (+.f64 (.f64 1/8 (.f64 lambda1 (pow.f64 phi2 2))) (+.f64 (.f64 -1/384 (.f64 lambda1 (pow.f64 phi2 4))) (.f64 1/46080 (.f64 lambda1 (pow.f64 phi2 6))))))
(+.f64 (neg.f64 lambda1) (+.f64 (.f64 lambda1 (.f64 (pow.f64 phi2 2) 1/8)) (+.f64 (.f64 lambda1 (.f64 (pow.f64 phi2 4) -1/384)) (.f64 lambda1 (.f64 (pow.f64 phi2 6) 1/46080)))))
(+.f64 (+.f64 (.f64 (pow.f64 phi2 2) (.f64 lambda1 1/8)) (.f64 (pow.f64 phi2 6) (.f64 lambda1 1/46080))) (.f64 lambda1 (+.f64 -1 (.f64 -1/384 (pow.f64 phi2 4)))))
(+.f64 (.f64 lambda1 (+.f64 (.f64 -1/384 (pow.f64 phi2 4)) (+.f64 -1 (.f64 1/8 (pow.f64 phi2 2))))) (.f64 lambda1 (*.f64 1/46080 (pow.f64 phi2 6))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi2 1/2)))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi2 1/2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi2 1/2)))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi2 1/2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi2 1/2)))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi2 1/2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi2 1/2)))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi2 1/2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi2 1/2)))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi2 1/2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi2 1/2)))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi2 1/2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi2 1/2)))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi2 1/2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi2 1/2)))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi2 1/2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi2 1/2)))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi2 1/2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi2 1/2)))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi2 1/2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi2 1/2)))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi2 1/2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi2 1/2)))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi2 1/2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi2 1/2)))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi2 1/2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi2 1/2)))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi2 1/2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi2 1/2)))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi2 1/2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi2 1/2)))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi2 1/2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 (neg.f64 lambda1) (cos.f64 (.f64 phi2 1/2)))
(.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi2 1/2))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
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(.f64 (.f64 (neg.f64 lambda1) R) (cos.f64 (*.f64 phi2 1/2)))
(.f64 (.f64 lambda1 (neg.f64 R)) (cos.f64 (*.f64 phi2 1/2)))
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda1 (.f64 R -2))) 2)
(.f64 R (.f64 (neg.f64 lambda1) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 (neg.f64 lambda1) R) (cos.f64 (*.f64 phi2 1/2)))
(.f64 (.f64 lambda1 (neg.f64 R)) (cos.f64 (*.f64 phi2 1/2)))
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 R (.f64 lambda1 -4))) 4)
(.f64 R (.f64 (neg.f64 lambda1) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 (neg.f64 lambda1) R) (cos.f64 (*.f64 phi2 1/2)))
(.f64 (.f64 lambda1 (neg.f64 R)) (cos.f64 (*.f64 phi2 1/2)))
(/.f64 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (neg.f64 lambda1) R)) 8) 8)
(.f64 R (.f64 (neg.f64 lambda1) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 (neg.f64 lambda1) R) (cos.f64 (*.f64 phi2 1/2)))
(.f64 (.f64 lambda1 (neg.f64 R)) (cos.f64 (*.f64 phi2 1/2)))
(/.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 R)) -1)
(.f64 R (.f64 (neg.f64 lambda1) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 (neg.f64 lambda1) R) (cos.f64 (*.f64 phi2 1/2)))
(.f64 (.f64 lambda1 (neg.f64 R)) (cos.f64 (*.f64 phi2 1/2)))
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 (neg.f64 lambda1) R)) 8)) 16)
(.f64 R (.f64 (neg.f64 lambda1) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 (neg.f64 lambda1) R) (cos.f64 (*.f64 phi2 1/2)))
(.f64 (.f64 lambda1 (neg.f64 R)) (cos.f64 (*.f64 phi2 1/2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (neg.f64 lambda1) R)) 8))) 32)
(.f64 R (.f64 (neg.f64 lambda1) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 (neg.f64 lambda1) R) (cos.f64 (*.f64 phi2 1/2)))
(.f64 (.f64 lambda1 (neg.f64 R)) (cos.f64 (*.f64 phi2 1/2)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (neg.f64 lambda1) R)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (neg.f64 lambda1) R)) 8)))) 64)
(.f64 R (.f64 (neg.f64 lambda1) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 (neg.f64 lambda1) R) (cos.f64 (*.f64 phi2 1/2)))
(.f64 (.f64 lambda1 (neg.f64 R)) (cos.f64 (*.f64 phi2 1/2)))
(pow.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 (neg.f64 lambda1) R)) 1)
(.f64 R (.f64 (neg.f64 lambda1) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 (neg.f64 lambda1) R) (cos.f64 (*.f64 phi2 1/2)))
(.f64 (.f64 lambda1 (neg.f64 R)) (cos.f64 (*.f64 phi2 1/2)))
(neg.f64 (.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 R)))
(.f64 R (.f64 (neg.f64 lambda1) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 (neg.f64 lambda1) R) (cos.f64 (*.f64 phi2 1/2)))
(.f64 (.f64 lambda1 (neg.f64 R)) (cos.f64 (*.f64 phi2 1/2)))

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 phi1 phi2))))))
✓	0.2b	(.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))
	3.1b	(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))

Compiler

Compiled 51 to 27 computations (47.1% saved)

series70.0ms (0.3%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
65.0ms	phi2	@	inf	(.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))
1.0ms	phi2	@	-inf	(.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
1.0ms	phi1	@	inf	(.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
0.0ms	phi2	@	0	(.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
0.0ms	R	@	0	(.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))

rewrite110.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1640×	`rational.json-1`
1640×	`rational.json-2`
1540×	`rational.json-simplify-35`
1180×	`rational.json-simplify-2`
1178×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	102	60
2	240	60
3	541	60
4	1164	60
5	3029	60
6	5628	60
7	7607	60

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

Outputs

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

simplify285.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1564×	`rational.json-simplify-35`
1178×	`rational.json-simplify-49`
1082×	`rational.json-simplify-48`
890×	`rational.json-simplify-43`
810×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	177	4519
1	469	4471
2	1044	4297
3	2186	4145
4	4105	4145
5	5990	4145
6	6861	4145
7	7496	4145

Stop Event

1×	node limit

Counts

117 → 126

Calls

Call 1

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

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

eval568.0ms (2.7%)

Compiler: Compiled 7653 to 5188 computations (32.2% saved)

prune202.0ms (1%)

Pruning

26 alts after pruning (17 fresh and 9 done)

	Pruned	Kept	Total
New	419	5	424
Fresh	3	12	15
Picked	1	0	1
Done	1	9	10
Total	424	26	450

Error

3.3b

Counts

450 → 26

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.6b	(+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R)))
	59.2b	(.f64 (.f64 (cos.f64 (*.f64 phi2 -1/2)) R) (+.f64 lambda1 (neg.f64 lambda2)))
	50.3b	(.f64 (.f64 lambda2 R) (cos.f64 (*.f64 1/2 phi2)))
	51.8b	(.f64 (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1))) (neg.f64 R))
	51.9b	(*.f64 (neg.f64 lambda1) R)
✓	51.8b	(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 (neg.f64 lambda1) R))
	60.2b	(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 lambda1 R))
	57.4b	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R (+.f64 lambda1 (neg.f64 lambda2))))
	60.0b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 (neg.f64 R)))
✓	60.6b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 R))
	60.0b	(.f64 (cos.f64 (.f64 -1/2 phi2)) (*.f64 lambda2 (neg.f64 R)))
✓	43.4b	(*.f64 phi1 (neg.f64 R))
✓	50.3b	(.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) R))
	50.6b	(*.f64 lambda2 R)
	60.2b	(.f64 lambda1 (.f64 (cos.f64 (*.f64 phi2 -1/2)) R))
✓	28.6b	(*.f64 R (-.f64 phi2 phi1))
	40.6b	(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (+.f64 lambda2 (neg.f64 lambda1))))
✓	51.8b	(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda1)))
	59.7b	(.f64 R (.f64 (cos.f64 (*.f64 phi1 -1/2)) (+.f64 lambda1 (neg.f64 lambda2))))
✓	59.4b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
	60.0b	(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 phi2 1/2)))))
	50.3b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 phi2 1/2))))
	49.0b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
	37.4b	(.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
✓	46.6b	(*.f64 R phi2)
	51.5b	(neg.f64 (.f64 lambda1 (.f64 (cos.f64 (*.f64 (+.f64 phi1 phi2) -1/2)) R)))

Compiler

Compiled 352 to 264 computations (25% saved)

regimes1.1s (5%)

Counts

42 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

215.0ms	phi2
202.0ms	(-.f64 lambda1 lambda2)
169.0ms	(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))))
127.0ms	phi1
121.0ms	lambda2

Results

Error	Segments	Branch
23.7b	5	`R`
24.5b	4	`lambda1`
19.3b	7	`lambda2`
17.8b	5	`phi1`
18.1b	5	`phi2`
16.8b	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)))))`
16.8b	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))))`
16.8b	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)))`
19.9b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 608 to 327 computations (46.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.540587901710572e+306	+inf

Compiler

Compiled 45 to 28 computations (37.8% saved)

regimes875.0ms (4.2%)

Counts

40 → 2

Calls

Call 1

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

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

Calls

9 calls:

228.0ms	phi1
187.0ms	lambda1
111.0ms	lambda2
100.0ms	(-.f64 lambda1 lambda2)
81.0ms	phi2

Results

Error	Segments	Branch
23.7b	5	`R`
24.5b	4	`lambda1`
19.3b	7	`lambda2`
17.8b	5	`phi1`
18.1b	5	`phi2`
16.9b	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)))))`
16.9b	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))))`
16.9b	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)))`
19.9b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 555 to 300 computations (45.9% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.540587901710572e+306	+inf

Compiler

Compiled 45 to 28 computations (37.8% saved)

regimes563.0ms (2.7%)

Counts

39 → 5

Calls

Call 1

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

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

Calls

6 calls:

110.0ms	lambda2
106.0ms	(-.f64 lambda1 lambda2)
90.0ms	lambda1
87.0ms	phi2
83.0ms	phi1

Results

Error	Segments	Branch
23.9b	5	`R`
23.4b	6	`lambda1`
19.5b	7	`lambda2`
17.8b	5	`phi1`
18.1b	5	`phi2`
20.7b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 417 to 228 computations (45.3% saved)

bsearch121.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
29.0ms	2.6432486063075855e-210	6.703326672782545e-206
28.0ms	-1.5042421808152246e-294	-6.227588872363605e-296
31.0ms	-1.0380490493913737e-233	-7.687528290513073e-237
32.0ms	-29192520102.343376	-1607882.4619567276

Results

92.0ms	451×	body	256	valid
12.0ms	30×	body	512	valid
9.0ms	15×	body	1024	valid

Compiler

Compiled 1081 to 775 computations (28.3% saved)

regimes644.0ms (3.1%)

Counts

36 → 5

Calls

Call 1

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

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

Calls

6 calls:

158.0ms	R
118.0ms	phi2
99.0ms	lambda2
88.0ms	(-.f64 lambda1 lambda2)
86.0ms	phi1

Results

Error	Segments	Branch
25.0b	3	`R`
24.0b	6	`lambda1`
20.1b	7	`lambda2`
17.9b	5	`phi1`
18.1b	8	`phi2`
22.0b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 352 to 195 computations (44.6% saved)

bsearch115.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
31.0ms	2.6432486063075855e-210	6.703326672782545e-206
28.0ms	-1.5042421808152246e-294	-6.227588872363605e-296
31.0ms	-1.0380490493913737e-233	-7.687528290513073e-237
25.0ms	-1705924106421362700.0	-143815430087974610.0

Results

85.0ms	412×	body	256	valid
16.0ms	39×	body	512	valid
7.0ms	13×	body	1024	valid

Compiler

Compiled 875 to 649 computations (25.8% saved)

regimes240.0ms (1.1%)

Counts

30 → 3

Calls

Call 1

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

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

Calls

5 calls:

65.0ms	phi2
65.0ms	phi1
51.0ms	lambda1
38.0ms	lambda2
14.0ms	R

Results

Error	Segments	Branch
28.6b	1	`R`
25.5b	4	`lambda1`
22.6b	3	`lambda2`
24.4b	5	`phi1`
24.7b	5	`phi2`

Compiler

Compiled 262 to 149 computations (43.1% saved)

bsearch31.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
4.0ms	1.3095642363934437e+176	1.4006360031079783e+176
27.0ms	-5.173422197479734e-50	-3.0252129897390465e-52

Results

23.0ms	116×	body	256	valid
6.0ms	10×	body	1024	valid
1.0ms	2×	body	512	valid

Compiler

Compiled 292 to 211 computations (27.7% saved)

regimes222.0ms (1.1%)

Counts

26 → 3

Calls

Call 1

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

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

Calls

5 calls:

60.0ms	phi1
59.0ms	phi2
49.0ms	lambda1
36.0ms	lambda2
12.0ms	R

Results

Error	Segments	Branch
28.6b	1	`R`
25.6b	4	`lambda1`
22.7b	3	`lambda2`
24.4b	5	`phi1`
24.7b	5	`phi2`

Compiler

Compiled 218 to 124 computations (43.1% saved)

bsearch33.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
4.0ms	1.3095642363934437e+176	1.4006360031079783e+176
28.0ms	-5.173422197479734e-50	-3.0252129897390465e-52

Results

24.0ms	116×	body	256	valid
4.0ms	6×	body	1024	valid
2.0ms	6×	body	512	valid
0.0ms	1×	body	512	infinite
0.0ms	1×	body	256	infinite

Compiler

Compiled 278 to 204 computations (26.6% saved)

regimes238.0ms (1.1%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

5 calls:

92.0ms	phi2
53.0ms	phi1
44.0ms	lambda1
32.0ms	lambda2
11.0ms	R

Results

Error	Segments	Branch
28.6b	1	`R`
26.6b	3	`lambda1`
23.8b	3	`lambda2`
24.4b	5	`phi1`
24.3b	7	`phi2`

Compiler

Compiled 198 to 113 computations (42.9% saved)

bsearch32.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
5.0ms	1.3095642363934437e+176	1.4006360031079783e+176
27.0ms	-5.173422197479734e-50	-3.0252129897390465e-52

Results

22.0ms	112×	body	256	valid
4.0ms	10×	body	512	valid
3.0ms	6×	body	1024	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 276 to 203 computations (26.4% saved)

regimes200.0ms (1%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

5 calls:

76.0ms	phi2
48.0ms	phi1
30.0ms	lambda2
29.0ms	lambda1
12.0ms	R

Results

Error	Segments	Branch
28.6b	1	`R`
26.8b	3	`lambda1`
23.8b	3	`lambda2`
24.4b	5	`phi1`
24.3b	7	`phi2`

Compiler

Compiled 180 to 104 computations (42.2% saved)

bsearch31.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
5.0ms	1.3095642363934437e+176	1.4006360031079783e+176
26.0ms	-5.173422197479734e-50	-3.0252129897390465e-52

Results

22.0ms	116×	body	256	valid
3.0ms	6×	body	1024	valid
2.0ms	6×	body	512	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 276 to 203 computations (26.4% saved)

regimes161.0ms (0.8%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

5 calls:

61.0ms	phi2
39.0ms	phi1
24.0ms	lambda2
23.0ms	lambda1
9.0ms	R

Results

Error	Segments	Branch
28.6b	1	`R`
26.9b	3	`lambda1`
24.1b	3	`lambda2`
24.5b	5	`phi1`
24.3b	7	`phi2`

Compiler

Compiled 135 to 78 computations (42.2% saved)

bsearch33.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
5.0ms	1.3095642363934437e+176	1.4006360031079783e+176
28.0ms	-5.173422197479734e-50	-3.0252129897390465e-52

Results

21.0ms	106×	body	256	valid
5.0ms	9×	body	1024	valid
5.0ms	13×	body	512	valid

Compiler

Compiled 241 to 175 computations (27.4% saved)

regimes142.0ms (0.7%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

5 calls:

55.0ms	phi2
35.0ms	phi1
21.0ms	lambda2
21.0ms	lambda1
7.0ms	R

Results

Error	Segments	Branch
28.6b	1	`R`
26.9b	3	`lambda1`
24.1b	3	`lambda2`
24.5b	5	`phi1`
24.3b	7	`phi2`

Compiler

Compiled 111 to 66 computations (40.5% saved)

bsearch31.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
5.0ms	1.3095642363934437e+176	1.4006360031079783e+176
26.0ms	-5.173422197479734e-50	-3.0252129897390465e-52

Results

23.0ms	115×	body	256	valid
3.0ms	8×	body	512	valid
3.0ms	5×	body	1024	valid
1.0ms	3×	body	256	infinite

Compiler

Compiled 241 to 175 computations (27.4% saved)

regimes130.0ms (0.6%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

5 calls:

50.0ms	phi2
32.0ms	phi1
19.0ms	lambda2
19.0ms	lambda1
7.0ms	R

Results

Error	Segments	Branch
28.6b	1	`R`
26.9b	3	`lambda1`
24.1b	3	`lambda2`
24.5b	5	`phi1`
24.3b	7	`phi2`

Compiler

Compiled 95 to 56 computations (41.1% saved)

bsearch31.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
5.0ms	1.3095642363934437e+176	1.4006360031079783e+176
26.0ms	-5.173422197479734e-50	-3.0252129897390465e-52

Results

23.0ms	115×	body	256	valid
4.0ms	7×	body	1024	valid
2.0ms	6×	body	512	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 241 to 175 computations (27.4% saved)

regimes118.0ms (0.6%)

Counts

10 → 3

Calls

Call 1

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

Outputs
(*.f64 R (neg.f64 lambda1))
(+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R)))
(*.f64 lambda2 R)

Calls

5 calls:

43.0ms	phi2
28.0ms	phi1
22.0ms	lambda2
17.0ms	lambda1
6.0ms	R

Results

Error	Segments	Branch
28.6b	1	`R`
26.9b	3	`lambda1`
24.3b	3	`lambda2`
24.6b	5	`phi1`
24.3b	7	`phi2`

Compiler

Compiled 79 to 46 computations (41.8% saved)

bsearch36.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
7.0ms	1.3095642363934437e+176	1.4006360031079783e+176
28.0ms	-5.173422197479734e-50	-3.0252129897390465e-52

Results

21.0ms	109×	body	256	valid
10.0ms	16×	body	1024	valid
1.0ms	3×	body	512	valid
1.0ms	4×	body	256	infinite
1.0ms	2×	body	512	infinite

Compiler

Compiled 236 to 171 computations (27.5% saved)

regimes112.0ms (0.5%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

5 calls:

42.0ms	phi2
25.0ms	phi1
20.0ms	lambda2
16.0ms	lambda1
6.0ms	R

Results

Error	Segments	Branch
28.6b	1	`R`
26.9b	3	`lambda1`
24.3b	3	`lambda2`
24.6b	5	`phi1`
24.3b	7	`phi2`

Compiler

Compiled 71 to 44 computations (38% saved)

bsearch29.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
4.0ms	1.3095642363934437e+176	1.4006360031079783e+176
24.0ms	-5.173422197479734e-50	-3.0252129897390465e-52

Results

24.0ms	122×	body	256	valid
2.0ms	4×	body	512	valid
1.0ms	2×	body	1024	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 212 to 155 computations (26.9% saved)

regimes170.0ms (0.8%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

5 calls:

61.0ms	lambda1
32.0ms	phi2
31.0ms	lambda2
22.0ms	phi1
22.0ms	R

Results

Error	Segments	Branch
39.6b	5	`R`
33.5b	13	`lambda1`
34.5b	6	`lambda2`
27.4b	5	`phi1`
28.7b	7	`phi2`

Compiler

Compiled 60 to 40 computations (33.3% saved)

bsearch113.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
29.0ms	2.6432486063075855e-210	6.703326672782545e-206
27.0ms	-1.5042421808152246e-294	-6.227588872363605e-296
32.0ms	-1.0380490493913737e-233	-7.687528290513073e-237
24.0ms	-1705924106421362700.0	-143815430087974610.0

Results

82.0ms	413×	body	256	valid
13.0ms	22×	body	1024	valid
12.0ms	29×	body	512	valid

Compiler

Compiled 587 to 454 computations (22.7% saved)

regimes89.0ms (0.4%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

5 calls:

21.0ms	R
18.0ms	phi2
17.0ms	lambda2
17.0ms	phi1
14.0ms	lambda1

Results

Error	Segments	Branch
42.1b	6	`R`
39.7b	3	`lambda1`
38.2b	5	`lambda2`
41.1b	5	`phi1`
35.6b	5	`phi2`

Compiler

Compiled 48 to 35 computations (27.1% saved)

bsearch223.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
41.0ms	2.0739589430357372e-19	1.0717566798187804e-8
28.0ms	2.9078936981173355e-37	8.045324736993016e-36
90.0ms	1.8014636817842676e-59	3.503638934759558e-48
64.0ms	3.6983365520321553e-264	7.529591121337232e-252

Results

126.0ms	518×	body	256	valid
76.0ms	39×	body	1024	valid
12.0ms	32×	body	512	valid
3.0ms	3×	body	2048	valid

Compiler

Compiled 738 to 573 computations (22.4% saved)

regimes209.0ms (1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

5 calls:

105.0ms	lambda2
18.0ms	R
16.0ms	phi1
9.0ms	phi2
9.0ms	lambda1

Results

Error	Segments	Branch
42.1b	6	`R`
43.9b	2	`lambda1`
41.0b	4	`lambda2`
42.2b	5	`phi1`
38.2b	2	`phi2`

Compiler

Compiled 44 to 33 computations (25% saved)

bsearch39.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
39.0ms	2.0739589430357372e-19	1.0717566798187804e-8

Results

28.0ms	143×	body	256	valid
6.0ms	11×	body	1024	valid
2.0ms	6×	body	512	valid

Compiler

Compiled 225 to 168 computations (25.3% saved)

regimes19.0ms (0.1%)

Accuracy

Total -15.0b remaining (-32.1%)

Threshold costs -15.0b (-32.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 R phi2)

Calls

5 calls:

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

Results

Error	Segments	Branch
46.6b	1	`R`
46.6b	1	`lambda1`
46.6b	1	`lambda2`
46.6b	1	`phi1`
46.6b	1	`phi2`

Compiler

Compiled 41 to 32 computations (22% saved)

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	1682

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))) 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848) (.f64 R (sqrt.f64 (+.f64 (/.f64 1 (/.f64 1 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (+.f64 (.f64 phi2 R) (*.f64 phi1 (neg.f64 R))))
(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))) 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848) (.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 (.f64 phi2 R) (*.f64 phi1 (neg.f64 R))))
(if (<=.f64 phi1 -1650000) (+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R))) (if (<=.f64 phi1 -6873336940433991/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))))) (if (<=.f64 phi1 -4694136313752479/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 1468487258528273/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296) (.f64 R (.f64 (cos.f64 (.f64 phi2 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))) (.f64 R (-.f64 phi2 phi1))))))
(if (<=.f64 phi1 -150000000000000000) (+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R))) (if (<=.f64 phi1 -3574135209025675/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (.f64 R (.f64 (cos.f64 (.f64 phi2 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 phi1 -7938612883551987/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 1468487258528273/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296) (.f64 R (.f64 (cos.f64 (.f64 phi2 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))) (.f64 R (-.f64 phi2 phi1))))))
(if (<=.f64 lambda2 -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) (neg.f64 (.f64 lambda1 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) -1/2)) R))) (if (<=.f64 lambda2 140000000000000012290141756648395741828225560616596189304592751538561162097383193966514734371066663974786899624116993354523837320395606053653344832492022659714803397793371127808) (+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R))) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))))
(if (<=.f64 lambda2 -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (neg.f64 lambda1) R)) (if (<=.f64 lambda2 134999999999999989758327881422042228318323047493771125594308947322414797331266250106008231631757777087541141091648784373500656983627081571696561708814943020486744798980749656064) (+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R))) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))))
(if (<=.f64 lambda2 -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (neg.f64 lambda1) R)) (if (<=.f64 lambda2 140000000000000012290141756648395741828225560616596189304592751538561162097383193966514734371066663974786899624116993354523837320395606053653344832492022659714803397793371127808) (+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 lambda2 R))))
(if (<=.f64 lambda2 -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) (.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi2 1/2))))) (if (<=.f64 lambda2 140000000000000012290141756648395741828225560616596189304592751538561162097383193966514734371066663974786899624116993354523837320395606053653344832492022659714803397793371127808) (+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 lambda2 R))))
(if (<=.f64 lambda2 -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) (.f64 R (neg.f64 lambda1)) (if (<=.f64 lambda2 140000000000000012290141756648395741828225560616596189304592751538561162097383193966514734371066663974786899624116993354523837320395606053653344832492022659714803397793371127808) (+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 lambda2 R))))
(if (<=.f64 lambda2 -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) (.f64 R (neg.f64 lambda1)) (if (<=.f64 lambda2 140000000000000012290141756648395741828225560616596189304592751538561162097383193966514734371066663974786899624116993354523837320395606053653344832492022659714803397793371127808) (+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R))) (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) R))))
(if (<=.f64 lambda2 -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) (.f64 R (neg.f64 lambda1)) (if (<=.f64 lambda2 134999999999999989758327881422042228318323047493771125594308947322414797331266250106008231631757777087541141091648784373500656983627081571696561708814943020486744798980749656064) (+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R))) (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))))
(if (<=.f64 lambda2 -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) (.f64 R (neg.f64 lambda1)) (if (<=.f64 lambda2 134999999999999989758327881422042228318323047493771125594308947322414797331266250106008231631757777087541141091648784373500656983627081571696561708814943020486744798980749656064) (+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R))) (.f64 lambda2 R)))
(if (<=.f64 lambda2 -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) (.f64 R (neg.f64 lambda1)) (if (<=.f64 lambda2 140000000000000012290141756648395741828225560616596189304592751538561162097383193966514734371066663974786899624116993354523837320395606053653344832492022659714803397793371127808) (.f64 R (-.f64 phi2 phi1)) (*.f64 lambda2 R)))
(if (<=.f64 phi1 -150000000000000000) (.f64 R (neg.f64 phi1)) (if (<=.f64 phi1 -436295801883017/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi1 -4325968759732677/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296) (.f64 R phi2) (if (<=.f64 phi1 6292535679128659/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328) (.f64 lambda2 R) (*.f64 R phi2)))))
(if (<=.f64 phi2 7759325926055083/33018408195979077897021236557282287907427957877257595132997544314167118909795303717151078492978574243417149687078570542430146722468917846078158686153933723556774167749937817760545719854776652565814014556763199275259251768296972608677399806172939779780596161306108624896) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi2 3706992666733213/6739986666787659948666753771754907668409286105635143120275902562304) (.f64 lambda2 R) (if (<=.f64 phi2 3531923316839353/11972621413014756705924586149611790497021399392059392) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi2 6576556458703583/9671406556917033397649408) (.f64 lambda2 R) (*.f64 R phi2)))))
(if (<=.f64 phi2 5029131409596857/77371252455336267181195264) (.f64 lambda2 R) (.f64 R phi2))
(*.f64 R phi2)
(*.f64 R lambda1)

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))) 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848) (.f64 R (sqrt.f64 (+.f64 (/.f64 1 (/.f64 1 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 (+.f64 phi1 phi2) 1/2))))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (+.f64 (.f64 phi2 R) (*.f64 phi1 (neg.f64 R))))
(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))) 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848) (.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 (.f64 phi2 R) (*.f64 phi1 (neg.f64 R))))
(if (<=.f64 phi1 -1650000) (+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R))) (if (<=.f64 phi1 -6873336940433991/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (.f64 R (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))))) (if (<=.f64 phi1 -4694136313752479/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 1468487258528273/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296) (.f64 R (.f64 (cos.f64 (.f64 phi2 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))) (.f64 R (-.f64 phi2 phi1))))))
(if (<=.f64 phi1 -150000000000000000) (+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R))) (if (<=.f64 phi1 -3574135209025675/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (.f64 R (.f64 (cos.f64 (.f64 phi2 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 phi1 -7938612883551987/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 1468487258528273/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296) (.f64 R (.f64 (cos.f64 (.f64 phi2 1/2)) (+.f64 lambda2 (neg.f64 lambda1)))) (.f64 R (-.f64 phi2 phi1))))))
(if (<=.f64 lambda2 -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) (neg.f64 (.f64 lambda1 (.f64 (cos.f64 (.f64 (+.f64 phi1 phi2) -1/2)) R))) (if (<=.f64 lambda2 140000000000000012290141756648395741828225560616596189304592751538561162097383193966514734371066663974786899624116993354523837320395606053653344832492022659714803397793371127808) (+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R))) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))))
(if (<=.f64 lambda2 -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (neg.f64 lambda1) R)) (if (<=.f64 lambda2 134999999999999989758327881422042228318323047493771125594308947322414797331266250106008231631757777087541141091648784373500656983627081571696561708814943020486744798980749656064) (+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R))) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))))
(if (<=.f64 lambda2 -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 (neg.f64 lambda1) R)) (if (<=.f64 lambda2 140000000000000012290141756648395741828225560616596189304592751538561162097383193966514734371066663974786899624116993354523837320395606053653344832492022659714803397793371127808) (+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 lambda2 R))))
(if (<=.f64 lambda2 -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) (.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (.f64 phi2 1/2))))) (if (<=.f64 lambda2 140000000000000012290141756648395741828225560616596189304592751538561162097383193966514734371066663974786899624116993354523837320395606053653344832492022659714803397793371127808) (+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 lambda2 R))))
(if (<=.f64 lambda2 -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) (.f64 R (neg.f64 lambda1)) (if (<=.f64 lambda2 140000000000000012290141756648395741828225560616596189304592751538561162097383193966514734371066663974786899624116993354523837320395606053653344832492022659714803397793371127808) (+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (.f64 lambda2 R))))
(if (<=.f64 lambda2 -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) (.f64 R (neg.f64 lambda1)) (if (<=.f64 lambda2 140000000000000012290141756648395741828225560616596189304592751538561162097383193966514734371066663974786899624116993354523837320395606053653344832492022659714803397793371127808) (+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R))) (.f64 lambda2 (.f64 (cos.f64 (.f64 phi2 1/2)) R))))
(if (<=.f64 lambda2 -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) (.f64 R (neg.f64 lambda1)) (if (<=.f64 lambda2 134999999999999989758327881422042228318323047493771125594308947322414797331266250106008231631757777087541141091648784373500656983627081571696561708814943020486744798980749656064) (+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R))) (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))))
(if (<=.f64 lambda2 -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) (.f64 R (neg.f64 lambda1)) (if (<=.f64 lambda2 134999999999999989758327881422042228318323047493771125594308947322414797331266250106008231631757777087541141091648784373500656983627081571696561708814943020486744798980749656064) (+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R))) (.f64 lambda2 R)))
(if (<=.f64 lambda2 -5265614583427859/105312291668557186697918027683670432318895095400549111254310977536) (.f64 R (neg.f64 lambda1)) (if (<=.f64 lambda2 140000000000000012290141756648395741828225560616596189304592751538561162097383193966514734371066663974786899624116993354523837320395606053653344832492022659714803397793371127808) (.f64 R (-.f64 phi2 phi1)) (*.f64 lambda2 R)))
(if (<=.f64 phi1 -150000000000000000) (.f64 R (neg.f64 phi1)) (if (<=.f64 phi1 -436295801883017/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi1 -4325968759732677/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296) (.f64 R phi2) (if (<=.f64 phi1 6292535679128659/740298315191606967520227188330889966610377319868419938630605715764070011466206019559325413145373572325939050053182159998975553533608824916574615132828322000124194610605645134711392062011527273571616649243219599128195212771328) (.f64 lambda2 R) (*.f64 R phi2)))))
(if (<=.f64 phi2 7759325926055083/33018408195979077897021236557282287907427957877257595132997544314167118909795303717151078492978574243417149687078570542430146722468917846078158686153933723556774167749937817760545719854776652565814014556763199275259251768296972608677399806172939779780596161306108624896) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi2 3706992666733213/6739986666787659948666753771754907668409286105635143120275902562304) (.f64 lambda2 R) (if (<=.f64 phi2 3531923316839353/11972621413014756705924586149611790497021399392059392) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi2 6576556458703583/9671406556917033397649408) (.f64 lambda2 R) (*.f64 R phi2)))))
(if (<=.f64 phi2 5029131409596857/77371252455336267181195264) (.f64 lambda2 R) (.f64 R phi2))
(*.f64 R phi2)
(*.f64 R lambda1)

Compiler

Compiled 706 to 429 computations (39.2% saved)

soundness216.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1660×	`rational.json-simplify-44`
1548×	`rational.json-simplify-47`
1488×	`rational.json-simplify-49`
1474×	`rational.json-simplify-35`
1266×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	722	34977
1	2356	32685
0	549	20213
1	1458	18277
2	3360	16555
3	6093	16555
4	7407	16555

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 98 to 52 computations (46.9% saved)

end348.0ms (1.7%)

Remove: (sort lambda1 lambda2)
Compiler: Compiled 1107 to 513 computations (53.7% saved)