Details

analyze4.7s (4.1%)

Algorithm

1×

Search

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

sample17.5s (15.1%)

Results

8.1s	6658×	body	256	valid
2.9s	2758×	body	256	infinite
2.5s	841×	body	1024	valid
1.8s	476×	body	1024	infinite
1.5s	754×	body	512	valid
690.0ms	367×	body	512	infinite
6.0ms	3×	body	2048	valid

Bogosity

preprocess290.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1200×	`rational_best-simplify-65`
910×	`rational_best-simplify-63`
860×	`rational_best-simplify-3`
762×	`rational_best-simplify-30`
658×	`rational_best-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	1067
1	255	1067
2	551	1067
3	1209	1023
4	3733	957
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 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (/.f64 (+.f64 1 (cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 phi1 phi2) 1))) (/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) 2)))))
(.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 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.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 (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 (-.f64 R lambda2) (.f64 (-.f64 R lambda2) (/.f64 (+.f64 1 (cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))))))
(.f64 lambda1 (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (-.f64 R lambda2) (.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 phi1 phi2) 1))) (/.f64 (-.f64 R lambda2) 2))))))
(.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 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.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 (.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 (-.f64 lambda1 R) (.f64 (-.f64 lambda1 R) (/.f64 (+.f64 1 (cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))))))
(.f64 lambda2 (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (-.f64 lambda1 R) (.f64 (+.f64 1 (cos.f64 (*.f64 (+.f64 phi1 phi2) 1))) (/.f64 (-.f64 lambda1 R) 2))))))
(.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 (cos.f64 (/.f64 (+.f64 R phi2) 2)) (.f64 (cos.f64 (/.f64 (+.f64 R phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.f64 (-.f64 R phi2) (-.f64 R phi2)))))
(.f64 phi1 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 R phi2) 2)))) 2)) (*.f64 (-.f64 R phi2) (-.f64 R phi2)))))
(.f64 phi1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 R phi2) 1))) (/.f64 (-.f64 lambda1 lambda2) 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 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 (cos.f64 (/.f64 (+.f64 R phi1) 2)) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) (*.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 R phi1) (-.f64 R phi1)))))
(.f64 phi2 (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 R phi1) 2)))) 2)) (*.f64 (-.f64 phi1 R) (-.f64 phi1 R)))))
(.f64 phi2 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 R phi1) 1))) (/.f64 (-.f64 lambda1 lambda2) 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 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (/.f64 (+.f64 1 (cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 phi1 phi2) 1))) (/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) 2)))))
(.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 (cos.f64 (/.f64 (+.f64 lambda1 phi2) 2)) (.f64 (-.f64 lambda2 phi1) (-.f64 lambda2 phi1)))) (*.f64 (-.f64 lambda1 phi2) (-.f64 lambda1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 lambda2) (.f64 (-.f64 phi1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 lambda1 phi2) 2)))) 2))) (*.f64 (-.f64 lambda1 phi2) (-.f64 lambda1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 lambda2) (.f64 (-.f64 phi1 lambda2) (+.f64 1/2 (/.f64 (cos.f64 (.f64 (+.f64 lambda1 phi2) 1)) 2)))) (*.f64 (-.f64 phi2 lambda1) (-.f64 phi2 lambda1)))))
(.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 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 (.f64 (-.f64 lambda2 phi2) (-.f64 lambda2 phi2)) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 lambda1 phi1) 2)))) 2)) (*.f64 (-.f64 phi1 lambda1) (-.f64 phi1 lambda1)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda2 phi2) (-.f64 lambda2 phi2)) (+.f64 1/2 (/.f64 (cos.f64 (.f64 (+.f64 lambda1 phi1) 1)) 2))) (*.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 lambda1 phi1) (.f64 (-.f64 lambda1 phi1) (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2))))) (*.f64 (-.f64 phi2 lambda2) (-.f64 phi2 lambda2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 phi1) (.f64 (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2)) (.f64 (-.f64 lambda1 phi1) (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2))))) (*.f64 (-.f64 phi2 lambda2) (-.f64 phi2 lambda2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 phi1 lambda1) (-.f64 phi1 lambda1)) (.f64 (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2)) (cos.f64 (/.f64 (+.f64 lambda2 phi2) 2)))) (*.f64 (-.f64 phi2 lambda2) (-.f64 phi2 lambda2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 phi1 lambda1) (-.f64 phi1 lambda1)) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 lambda2 phi2) 2)))) 2)) (*.f64 (-.f64 lambda2 phi2) (-.f64 lambda2 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 lambda2 phi2) 1))) (/.f64 (.f64 (-.f64 lambda1 phi1) (-.f64 lambda1 phi1)) 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 (cos.f64 (/.f64 (+.f64 lambda2 phi1) 2)) (.f64 (-.f64 lambda1 phi2) (.f64 (-.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 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 (-.f64 lambda1 phi2) (.f64 (-.f64 lambda1 phi2) (.f64 (cos.f64 (/.f64 (+.f64 lambda2 phi1) 2)) (cos.f64 (/.f64 (+.f64 lambda2 phi1) 2))))) (*.f64 (-.f64 lambda2 phi1) (-.f64 lambda2 phi1)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 phi2) (.f64 (-.f64 lambda1 phi2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 lambda2 phi1) 2)))) 2))) (*.f64 (-.f64 phi1 lambda2) (-.f64 phi1 lambda2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 phi2) (.f64 (-.f64 lambda1 phi2) (+.f64 1/2 (/.f64 (cos.f64 (.f64 (+.f64 lambda2 phi1) 1)) 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 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (/.f64 (+.f64 1 (cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (+.f64 1 (cos.f64 (.f64 (+.f64 phi1 phi2) 1))) (/.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) 2)))))

Symmetry

(sort lambda1 lambda2)

(sort phi1 phi2)

Compiler

Compiled 42 to 26 computations (38.1% saved)

simplify220.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1238×	`rational_best-simplify-55`
1114×	`rational_best-simplify-57`
1100×	`rational_best-simplify-50`
956×	`rational_best-simplify-64`
750×	`rational_best-simplify-66`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	20	97
1	39	97
2	84	97
3	179	93
4	516	87
5	2056	81

Stop Event

1×	node limit

Counts

1 → 6

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

eval3.0ms (0%)

Compiler: Compiled 188 to 80 computations (57.4% saved)

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	2	7

Error

42.3b

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	42.3b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
▶	42.3b	(.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)))))

Status

Error

Program

▶

42.3b

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

▶

42.3b

(*.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)))))

Compiler

Compiled 69 to 40 computations (42% saved)

localize183.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))
✓	0.3b	(.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
✓	2.6b	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
✓	38.8b	(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))))

Compiler

Compiled 177 to 69 computations (61% saved)

series93.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Point	Expression
19.0ms	lambda1	@	0	(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))))
17.0ms	phi1	@	inf	(.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
11.0ms	phi1	@	inf	(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))))
5.0ms	phi1	@	0	(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))))
5.0ms	phi2	@	0	(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))))

rewrite332.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1436×	`rational_best-simplify-56`
680×	`rational_best-simplify-62`
646×	`rational_best-simplify-61`
470×	`rational_best-2`
470×	`rational_best-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	188
1	134	188
2	318	180
3	1101	156
4	5633	156

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

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

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

simplify661.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1492×	`rational_best-simplify-55`
940×	`rational_best-simplify-1`
748×	`rational_best-simplify-50`
600×	`rational_best-simplify-52`
598×	`rational_best-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	698	21112
1	1937	20586
2	5061	20420

Stop Event

1×	node limit

Counts

302 → 421

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

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

localize134.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2)))
✓	0.6b	(+.f64 1/2 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2))
✓	2.7b	(cos.f64 (+.f64 phi1 phi2))
✓	38.8b	(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Compiler

Compiled 150 to 53 computations (64.7% saved)

series75.0ms (0.1%)

Counts

4 → 136

Calls

36 calls:

Time	Variable		Point	Expression
23.0ms	phi1	@	inf	(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
17.0ms	lambda1	@	-inf	(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
5.0ms	phi2	@	0	(*.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2)))
4.0ms	phi2	@	0	(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
3.0ms	phi1	@	0	(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite400.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`rational_best-simplify-1`
766×	`rational_best-simplify-85`
676×	`rational_best-simplify-62`
618×	`rational_best-simplify-74`
510×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	144
1	145	144
2	368	144
3	1219	144
4	5771	144

Stop Event

1×	node limit

Counts

4 → 142

Calls

Call 1

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

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

simplify710.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

932×	`rational_best-simplify-51`
882×	`rational_best-simplify-57`
842×	`rational_best-simplify-1`
730×	`rational_best-simplify-49`
702×	`rational_best-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	670	17936
1	1833	17394
2	4812	16944

Stop Event

1×	node limit

Counts

278 → 410

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))))) (.f64 lambda2 (.f64 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) lambda1)))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))))) (.f64 lambda2 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) lambda1)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)))) 2)) (pow.f64 lambda1 2))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 lambda2 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))))) (.f64 lambda2 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)))) 2)) (pow.f64 lambda1 3)))) (+.f64 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) (pow.f64 (-.f64 phi1 phi2) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))))) (.f64 lambda2 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) lambda1)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)))) 2)) (pow.f64 lambda1 2)))))))
(.f64 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) lambda1)
(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) lambda1) (.f64 -1 (.f64 lambda2 (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))) (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))) (pow.f64 (.f64 -1 (.f64 lambda2 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)))) 2)) lambda1))) (+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) lambda1) (.f64 -1 (.f64 lambda2 (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 lambda2 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))) (pow.f64 (.f64 -1 (.f64 lambda2 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)))) 2))) (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))) (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))) (pow.f64 (.f64 -1 (.f64 lambda2 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)))) 2)) lambda1))) (+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) lambda1) (.f64 -1 (.f64 lambda2 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)))))))
(.f64 -1 (.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) lambda1))
(+.f64 (.f64 lambda2 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))) (.f64 -1 (.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) lambda1)))
(+.f64 (.f64 lambda2 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) lambda1)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))) (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))) (pow.f64 (.f64 lambda2 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))) 2)) lambda1)))))
(+.f64 (.f64 lambda2 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 lambda2 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))) (pow.f64 (.f64 lambda2 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))) 2))) (pow.f64 lambda1 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) lambda1)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))) (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 (pow.f64 lambda2 2) (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))) (pow.f64 (.f64 lambda2 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))) 2)) lambda1))))))
(sqrt.f64 (+.f64 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (sqrt.f64 (+.f64 (.f64 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) lambda1))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (sqrt.f64 (+.f64 (.f64 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 lambda2 3) (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (.f64 (-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) lambda1))) 2)) lambda1))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) lambda1))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (+.f64 (.f64 -1 (.f64 (.f64 lambda2 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))))) (sqrt.f64 (+.f64 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2))))))
(.f64 lambda2 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) lambda1)) (.f64 lambda2 (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) lambda1)) (+.f64 (.f64 lambda2 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))) (.f64 1/2 (.f64 (/.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) lambda1)) 2)) lambda2) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)))))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) lambda1)) (+.f64 (.f64 lambda2 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) lambda1)) 2)) lambda1) (pow.f64 lambda2 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))))) (.f64 1/2 (.f64 (/.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) lambda1)) 2)) lambda2) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))))))))
(.f64 -1 (.f64 lambda2 (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))))
(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) lambda1) (.f64 -1 (.f64 lambda2 (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)))))
(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) lambda1) (+.f64 (.f64 -1/2 (.f64 (/.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) lambda1) 2)) lambda2) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))))) (.f64 -1 (.f64 lambda2 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))))))
(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) lambda1) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) lambda1) 2)) lambda1) (pow.f64 lambda2 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)) lambda1) 2)) lambda2) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))))) (.f64 -1 (.f64 lambda2 (sqrt.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2)))))))
(sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi2))) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(+.f64 (.f64 1/2 (.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 phi2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi2))) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi2))) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(+.f64 (.f64 1/2 (.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 phi2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi2))) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 1 (.f64 -1/4 (.f64 (cos.f64 phi2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi2))) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 phi2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -2 phi2)))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi2))) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi2))) (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (.f64 1/2 (.f64 (.f64 phi1 (+.f64 (.f64 -1/2 (.f64 (sin.f64 phi2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi2))) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 1 (.f64 -1/4 (.f64 (cos.f64 phi2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi2))) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 phi2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -2 phi2)))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi2))) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi2))) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/12 (.f64 (sin.f64 phi2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 1 (.f64 -1/4 (.f64 (cos.f64 phi2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi2))) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 phi2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -2 phi2)))) 2)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 phi2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -2 phi2))) (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi2))) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) (pow.f64 phi1 3)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 phi2))) (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 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (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 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (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 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) phi1)))))
(*.f64 -1 phi1)
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 (.f64 -1 phi1) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 phi2 (*.f64 -1 phi1))))) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) phi2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))) (.f64 phi2 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2))) (+.f64 (.f64 -1 phi1) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 phi2 (.f64 -1 phi1))))) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) phi2)))
(sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (.f64 phi2 (+.f64 (.f64 -2 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)))) (.f64 (pow.f64 phi2 2) (-.f64 (+.f64 1 (.f64 -1/4 (.f64 (cos.f64 phi1) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)))) (+.f64 (.f64 -2 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (.f64 phi2 (+.f64 (.f64 -2 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)))) (.f64 (-.f64 (.f64 1/12 (.f64 (sin.f64 phi1) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 phi1 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))) (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2))))) (.f64 (-.f64 (+.f64 1 (.f64 -1/4 (.f64 (cos.f64 phi1) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (+.f64 (.f64 -2 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2)) (+.f64 (.f64 -2 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))) (pow.f64 phi2 3)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)))) (.f64 (pow.f64 phi2 2) (-.f64 (+.f64 1 (.f64 -1/4 (.f64 (cos.f64 phi1) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)))) (+.f64 (.f64 -2 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 phi1))) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (.f64 phi2 (+.f64 (.f64 -2 phi1) (.f64 -1/2 (*.f64 (sin.f64 phi1) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))))
phi2
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (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 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (.f64 -1 phi1) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (+.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi1) 2)) phi1) (pow.f64 phi2 2))) phi2)))
(*.f64 -1 phi2)
(+.f64 phi1 (*.f64 -1 phi2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2)))) 1/2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)) (+.f64 phi1 (*.f64 -1 phi2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2)))) 1/2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)) (+.f64 phi1 (+.f64 (.f64 -1 phi2) (.f64 -1/2 (/.f64 (.f64 phi1 (.f64 (+.f64 (.f64 1/2 (cos.f64 (-.f64 phi1 (.f64 -1 phi2)))) 1/2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi2 2))))))
(cos.f64 phi2)
(+.f64 (.f64 -1 (.f64 phi1 (sin.f64 phi2))) (cos.f64 phi2))
(+.f64 (.f64 -1 (.f64 phi1 (sin.f64 phi2))) (+.f64 (cos.f64 phi2) (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 phi2)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 phi1 3) (sin.f64 phi2))) (+.f64 (.f64 -1 (.f64 phi1 (sin.f64 phi2))) (+.f64 (cos.f64 phi2) (.f64 -1/2 (.f64 (pow.f64 phi1 2) (cos.f64 phi2))))))
(cos.f64 (-.f64 phi2 (*.f64 -1 phi1)))
(cos.f64 (-.f64 phi2 (*.f64 -1 phi1)))
(cos.f64 (-.f64 phi2 (*.f64 -1 phi1)))
(cos.f64 (-.f64 phi2 (*.f64 -1 phi1)))
(cos.f64 phi1)
(+.f64 (cos.f64 phi1) (.f64 -1 (.f64 (sin.f64 phi1) phi2)))
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(-.f64 (/.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) 2) (+.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) -2) (/.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)))
(-.f64 (/.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) 2) (/.f64 (-.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (cos.f64 (+.f64 phi1 phi2))) 2))
(-.f64 (.f64 2 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 phi1) (cos.f64 phi2))))
(-.f64 (/.f64 (*.f64 (cos.f64 (+.f64 phi1 phi2)) 3) 4) (/.f64 (cos.f64 (+.f64 phi1 phi2)) -4))
(-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 phi1 phi2)) (.f64 2 (.f64 (cos.f64 phi1) (cos.f64 phi2)))) 4) (+.f64 (/.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) -4)))
(-.f64 (*.f64 3 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 4)) (/.f64 (cos.f64 (+.f64 phi1 phi2)) -4))
(-.f64 (-.f64 (/.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) 2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) -2)) (/.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2))
(-.f64 (/.f64 (+.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (+.f64 phi1 phi2))) 2) (/.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2))
(-.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (sin.f64 (/.f64 (+.f64 phi1 phi2) 2)) (sin.f64 (/.f64 (+.f64 phi1 phi2) 2))))
(-.f64 (+.f64 (/.f64 (.f64 (cos.f64 (+.f64 phi1 phi2)) 3) 4) (/.f64 (.f64 (cos.f64 (+.f64 phi1 phi2)) 3) 4)) (+.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) -4) (/.f64 (*.f64 (cos.f64 (+.f64 phi1 phi2)) 3) 4)))
(.f64 1/2 (.f64 (cos.f64 (+.f64 phi1 phi2)) 2))
(*.f64 (cos.f64 (+.f64 phi1 phi2)) 1)
(*.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 0))
(.f64 (cos.f64 (+.f64 phi1 phi2)) (.f64 (cos.f64 0) (cos.f64 0)))
(.f64 2 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))
(.f64 2 (.f64 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) (cos.f64 0)))
(.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 2)
(.f64 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) (+.f64 (cos.f64 0) (cos.f64 0)))
(*.f64 1 (cos.f64 (+.f64 phi1 phi2)))
(.f64 (.f64 (cos.f64 (+.f64 phi1 phi2)) 2) 1/2)
(.f64 (.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (/.f64 (cos.f64 0) 2))
(*.f64 (neg.f64 (cos.f64 (+.f64 phi1 phi2))) -1)
(*.f64 (neg.f64 (cos.f64 (+.f64 phi1 phi2))) (neg.f64 (cos.f64 0)))
(.f64 (.f64 (cos.f64 (+.f64 phi1 phi2)) 4) 1/4)
(.f64 (.f64 (cos.f64 (+.f64 phi1 phi2)) 4) (/.f64 (cos.f64 0) 4))
(*.f64 (cos.f64 0) (cos.f64 (+.f64 phi1 phi2)))
(*.f64 -2 (/.f64 (cos.f64 (+.f64 phi1 phi2)) -2))
(.f64 1/4 (.f64 (cos.f64 (+.f64 phi1 phi2)) 4))
(.f64 1/8 (.f64 2 (*.f64 (cos.f64 (+.f64 phi1 phi2)) 4)))
(.f64 (/.f64 (cos.f64 0) 2) (.f64 (cos.f64 (+.f64 phi1 phi2)) 2))
(.f64 (.f64 2 (*.f64 (cos.f64 (+.f64 phi1 phi2)) 4)) 1/8)
(.f64 (.f64 2 (*.f64 (cos.f64 (+.f64 phi1 phi2)) 4)) (/.f64 (cos.f64 0) 8))
(.f64 (.f64 (cos.f64 (+.f64 phi1 phi2)) -2) (-.f64 0 (/.f64 (cos.f64 0) 2)))
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 (+.f64 phi1 phi2)))
(.f64 (.f64 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) (cos.f64 0)) 2)
(.f64 (/.f64 (cos.f64 0) 4) (.f64 (cos.f64 (+.f64 phi1 phi2)) 4))
(.f64 (/.f64 (cos.f64 0) 8) (.f64 2 (*.f64 (cos.f64 (+.f64 phi1 phi2)) 4)))
(.f64 (+.f64 (cos.f64 0) (cos.f64 0)) (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))
(*.f64 (neg.f64 (cos.f64 0)) (neg.f64 (cos.f64 (+.f64 phi1 phi2))))
(.f64 (-.f64 (-.f64 (.f64 2 (.f64 (sin.f64 phi1) (sin.f64 phi2))) (.f64 2 (*.f64 (cos.f64 phi1) (cos.f64 phi2)))) 0) (-.f64 0 (/.f64 (cos.f64 0) 2)))
(/.f64 (cos.f64 (+.f64 phi1 phi2)) 1)
(/.f64 (*.f64 (cos.f64 (+.f64 phi1 phi2)) 2) 2)
(/.f64 (neg.f64 (cos.f64 (+.f64 phi1 phi2))) -1)
(/.f64 (*.f64 (cos.f64 (+.f64 phi1 phi2)) 4) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (+.f64 phi1 phi2)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (+.f64 phi1 phi2)) 4)) (.f64 2 (.f64 (cos.f64 (+.f64 phi1 phi2)) 4))) 16)
(/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 phi1 phi2)) 2) (-.f64 (cos.f64 (-.f64 (neg.f64 phi2) phi1)) (cos.f64 (+.f64 phi1 phi2)))) 2)
(/.f64 (-.f64 (.f64 2 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi1 phi2)))) 2)
(/.f64 (-.f64 (.f64 2 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (+.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) phi1) (-.f64 phi2 (/.f64 (PI.f64) 2)))))) 2)
(/.f64 (-.f64 (.f64 2 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (+.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) phi1) (-.f64 phi2 (/.f64 (PI.f64) 2)))))) 2)
(/.f64 (-.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 phi1) (cos.f64 phi2)))) (.f64 2 (.f64 2 (.f64 (sin.f64 phi1) (sin.f64 phi2))))) 4)
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi2 phi1))) (.f64 2 (.f64 (sin.f64 phi1) (sin.f64 phi2)))) 2)
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi2 phi1))) (-.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (+.f64 phi1 phi2)))) 2)
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi2 phi1))) (+.f64 (cos.f64 (-.f64 phi2 phi1)) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) phi1) (-.f64 phi2 (/.f64 (PI.f64) 2)))))) 2)
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi2 phi1))) (+.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (-.f64 (-.f64 (/.f64 (PI.f64) 2) phi1) (-.f64 phi2 (/.f64 (PI.f64) 2)))))) 2)
(/.f64 (.f64 (.f64 (cos.f64 (+.f64 phi1 phi2)) 4) (cos.f64 0)) 4)
(/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 phi1 phi2))) (cos.f64 0)) -1)
(/.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 phi1 phi2))) (+.f64 (cos.f64 0) (cos.f64 0))) -2)
(/.f64 (.f64 (.f64 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) (cos.f64 0)) (+.f64 (cos.f64 0) (cos.f64 0))) 1)
(pow.f64 (cos.f64 (+.f64 phi1 phi2)) 1)
(neg.f64 (neg.f64 (cos.f64 (+.f64 phi1 phi2))))
(-.f64 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) -1/2)
(-.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))) 0)
(-.f64 0 (+.f64 -1/2 (/.f64 (cos.f64 (+.f64 phi1 phi2)) -2)))
(-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 4) (+.f64 -1/2 (/.f64 (cos.f64 (+.f64 phi1 phi2)) -4)))
(-.f64 (/.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) 2) (+.f64 -1/2 (/.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)))
(-.f64 (/.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) 2) (+.f64 (+.f64 -1/2 (/.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) 0))
(-.f64 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1) (+.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) -4) (+.f64 1/2 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 4))))
(-.f64 (-.f64 (/.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) 2) -1/2) (/.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) 2))
(-.f64 (+.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 4) 1/4) (/.f64 (+.f64 -1/2 (/.f64 (cos.f64 (+.f64 phi1 phi2)) -2)) 2))
(-.f64 (-.f64 (/.f64 (cos.f64 (+.f64 phi1 phi2)) 4) -1/2) (/.f64 (cos.f64 (+.f64 phi1 phi2)) -4))
(*.f64 1/2 (+.f64 1/2 (+.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))) 1)
(.f64 1 (+.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))
(*.f64 (+.f64 1/2 (+.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))) 1/2)
(.f64 1/4 (.f64 2 (+.f64 1/2 (+.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))))
(.f64 (.f64 2 (+.f64 1/2 (+.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))) 1/4)
(/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))) 1)
(/.f64 (+.f64 1/2 (+.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))) 2)
(/.f64 (*.f64 2 (+.f64 1/2 (+.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))) 4)
(/.f64 (+.f64 (.f64 2 (+.f64 1/2 (+.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))) (.f64 2 (+.f64 1/2 (+.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))) 8)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))) 1)
(neg.f64 (+.f64 -1/2 (/.f64 (cos.f64 (+.f64 phi1 phi2)) -2)))
(+.f64 (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))) 0)
(+.f64 0 (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))))
(+.f64 (/.f64 (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))) 2) (/.f64 (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))) 2))
(-.f64 (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))) 0)
(-.f64 (/.f64 (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))) 2) (/.f64 (*.f64 (-.f64 lambda1 lambda2) (+.f64 -1/2 (/.f64 (cos.f64 (+.f64 phi1 phi2)) -2))) 2))
(/.f64 (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))) 1)
(/.f64 (*.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (+.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))) 2)
(/.f64 (*.f64 (-.f64 lambda1 lambda2) (+.f64 -1/2 (/.f64 (cos.f64 (+.f64 phi1 phi2)) -2))) -1)
(/.f64 (.f64 2 (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (+.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))) 4)
(/.f64 (*.f64 (-.f64 lambda2 lambda1) (+.f64 1/2 (+.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))) -2)
(/.f64 (.f64 (-.f64 lambda2 lambda1) (.f64 2 (+.f64 1/2 (+.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))) -4)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (+.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))))) (.f64 2 (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (+.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))))) 8)
(/.f64 (.f64 (.f64 2 (+.f64 1/2 (+.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))) (.f64 2 (.f64 (-.f64 lambda1 lambda2) 2))) 16)
(/.f64 (.f64 (-.f64 lambda2 lambda1) (+.f64 (.f64 2 (+.f64 1/2 (+.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))) (*.f64 2 (+.f64 1/2 (+.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))))) -8)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))) (neg.f64 (.f64 2 (.f64 (-.f64 lambda1 lambda2) 2)))) -4)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))) (.f64 2 (.f64 2 (-.f64 lambda2 lambda1)))) -4)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2)))) (+.f64 (.f64 2 (-.f64 lambda2 lambda1)) (.f64 2 (-.f64 lambda2 lambda1)))) -4)
(pow.f64 (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 phi1 phi2))))) 1)
(neg.f64 (*.f64 (-.f64 lambda1 lambda2) (+.f64 -1/2 (/.f64 (cos.f64 (+.f64 phi1 phi2)) -2))))

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

eval2.5s (2.1%)

Compiler: Compiled 47450 to 25838 computations (45.5% saved)

prune1.1s (1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	899	17	916
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	901	17	918

Error

3.1b

Counts

918 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.0b	(.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)))))))
	58.0b	(.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)))))))
▶	28.1b	(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
	60.2b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
	48.8b	(.f64 R (.f64 lambda2 (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))))
	59.9b	(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
	51.5b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
▶	51.6b	(.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
	43.5b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	42.3b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (/.f64 (-.f64 (+.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (-.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) 2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	41.8b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (-.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	44.4b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (+.f64 (cos.f64 phi2) (.f64 (sin.f64 phi2) (neg.f64 phi1))) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
▶	44.1b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (+.f64 (cos.f64 phi1) (.f64 phi2 (neg.f64 (sin.f64 phi1)))) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	43.6b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (cos.f64 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	43.5b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (cos.f64 phi1) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	44.3b	(*.f64 R (neg.f64 phi1))
▶	46.0b	(*.f64 R phi2)

Compiler

Compiled 818 to 536 computations (34.5% saved)

localize33.0ms (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)

series9.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite190.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1068×	`rational_best-simplify-83`
928×	`rational_best-simplify-51`
754×	`rational_best-simplify-57`
568×	`rational_best-simplify-75`
550×	`rational_best-simplify-64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	62	13
2	129	13
3	355	13
4	1439	13

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R (-.f64 phi2 phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 R (-.f64 phi2 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 phi2 phi1) (*.f64 R 1/2)) (*.f64 (-.f64 phi2 phi1) (*.f64 R 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 R (-.f64 phi2 phi1)) 4) (/.f64 (/.f64 (*.f64 (-.f64 phi2 phi1) (*.f64 R 3)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 R (-.f64 phi2 phi1)) 4) (/.f64 (*.f64 (-.f64 phi2 phi1) (*.f64 R 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (-.f64 phi2 phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 phi2 phi1) (*.f64 R 1/2)) (/.f64 (*.f64 R (-.f64 phi2 phi1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 phi2 phi1) (*.f64 R 1/2)) (/.f64 (*.f64 -2 (*.f64 R (-.f64 phi2 phi1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (-.f64 phi2 phi1) (*.f64 R 3)) 2) 2) (/.f64 (/.f64 (*.f64 R (-.f64 phi2 phi1)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (-.f64 phi2 phi1) (*.f64 R 3)) 4) (/.f64 (neg.f64 (*.f64 R (-.f64 phi2 phi1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 R (-.f64 phi2 phi1)) 4) (*.f64 (-.f64 phi2 phi1) (*.f64 R 1/2))) (-.f64 0 (/.f64 (*.f64 R (-.f64 phi2 phi1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (-.f64 phi2 phi1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 phi2 phi1) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (*.f64 (-.f64 phi2 phi1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 phi2 phi1) (*.f64 2 (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 phi2 phi1) 4) (*.f64 R 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 phi1 phi2) R) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 phi1 phi2) (+.f64 R R)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 phi1 phi2) (*.f64 R 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 phi1 phi2) (*.f64 2 (*.f64 R 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 phi2 phi1) (neg.f64 R)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 R 4)) (*.f64 2 (*.f64 (-.f64 phi2 phi1) 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (-.f64 phi2 phi1) 4)) (*.f64 2 (*.f64 R 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 R (-.f64 phi2 phi1)) 1)))))

simplify194.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1110×	`rational_best-simplify-48`
822×	`rational_best-simplify-47`
790×	`rational_best-simplify-63`
762×	`rational_best-simplify-52`
736×	`rational_best-simplify-65`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	1010
1	214	968
2	576	860
3	1589	860

Stop Event

1×	node limit

Counts

60 → 40

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

localize8.0ms (0%)

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

localize87.0ms (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)))))
✓	2.6b	(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))

Compiler

Compiled 51 to 27 computations (47.1% saved)

series68.0ms (0.1%)

Counts

3 → 100

Calls

27 calls:

Time	Variable		Point	Expression
18.0ms	phi1	@	-inf	(.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))
9.0ms	phi2	@	inf	(.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))
4.0ms	R	@	0	(.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
3.0ms	phi1	@	inf	(.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
3.0ms	phi1	@	inf	(.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))

rewrite305.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1250×	`rational_best-simplify-63`
1070×	`rational_best-2`
1070×	`rational_best-3`
1070×	`rational_best-1`
1068×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	77
1	96	77
2	200	77
3	616	77
4	2604	77

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

Inputs
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(.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 (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 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (/.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (/.f64 (cos.f64 (neg.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (neg.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 2) (/.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (/.f64 (/.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) -2)) (neg.f64 (/.f64 (/.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) 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(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) (-.f64 (/.f64 (cos.f64 (neg.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 2) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (neg.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 2) (-.f64 (/.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) (*.f64 3 (/.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 4)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 4))) (*.f64 (sin.f64 (/.f64 (+.f64 phi1 phi2) 4)) (sin.f64 (/.f64 (+.f64 phi1 phi2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 4)) (cos.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 0) (/.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (/.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 2) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 0) 2) (+.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (neg.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) (*.f64 (cos.f64 0) 2))))) (#(struct:change #<rule egg-rr> 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phi2))) (*.f64 lambda1 (neg.f64 R))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 lambda1 R) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 R)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 lambda1 R) (*.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))) (*.f64 lambda1 (+.f64 R R))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 (*.f64 R 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1) (*.f64 R 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 lambda1 R) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 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(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 lambda1 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4) (*.f64 R 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 lambda1 (*.f64 (+.f64 R R) (+.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (neg.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (/.f64 (*.f64 lambda1 R) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (*.f64 lambda1 (*.f64 R 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda1 lambda1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 2 (*.f64 lambda1 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (*.f64 (*.f64 lambda1 4) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (*.f64 (+.f64 lambda1 lambda1) (+.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (neg.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 lambda1 R) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 lambda1 R) (+.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (neg.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 lambda1 R) (*.f64 2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 lambda1 R) (+.f64 (+.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (neg.f64 (*.f64 1/2 (+.f64 phi1 phi2))))) (+.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (neg.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 lambda1 R) (-.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) (-.f64 (cos.f64 (neg.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 lambda1 R) (+.f64 (-.f64 (+.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (neg.f64 (*.f64 1/2 (+.f64 phi1 phi2))))) (cos.f64 (neg.f64 (*.f64 1/2 (+.f64 phi1 phi2))))) (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 lambda1 R) (*.f64 (cos.f64 0) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 (neg.f64 R))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda1 R)))))))

simplify577.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1228×	`rational_best-simplify-47`
972×	`rational_best-simplify-52`
964×	`rational_best-simplify-48`
850×	`rational_best-simplify-50`
662×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	471	9690
1	1317	9126
2	3929	9010

Stop Event

1×	node limit

Counts

256 → 292

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

localize98.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
✓	0.2b	(.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)))))))
	0.2b	(.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))
	2.6b	(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))

Compiler

Compiled 87 to 46 computations (47.1% saved)

series42.0ms (0%)

Counts

2 → 76

Calls

24 calls:

Time	Variable		Point	Expression
16.0ms	phi1	@	0	(.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)))))))
13.0ms	R	@	0	(.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)))))))
1.0ms	phi2	@	-inf	(.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)))))))
1.0ms	phi2	@	0	(.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)))))))
1.0ms	phi1	@	inf	(.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)))))))

rewrite264.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`rational_best-4`
1170×	`rational_best-2`
1170×	`rational_best-3`
1170×	`rational_best-1`
1168×	`exponential-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	84
1	116	84
2	234	84
3	692	62
4	2814	58

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

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

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

simplify864.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1306×	`rational_best-simplify-1`
836×	`rational_best-simplify-47`
836×	`rational_best-simplify-63`
804×	`rational_best-simplify-55`
596×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	324	8134
1	845	7976
2	2050	7860
3	4256	7070

Stop Event

1×	node limit

Counts

148 → 198

Calls

Call 1

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

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

localize202.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 1/2 (/.f64 (+.f64 (cos.f64 phi1) (*.f64 phi2 (neg.f64 (sin.f64 phi1)))) 2))
✓	1.9b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (+.f64 (cos.f64 phi1) (.f64 phi2 (neg.f64 (sin.f64 phi1)))) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
✓	3.9b	(+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (+.f64 (cos.f64 phi1) (.f64 phi2 (neg.f64 (sin.f64 phi1)))) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
✓	33.3b	(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (+.f64 (cos.f64 phi1) (.f64 phi2 (neg.f64 (sin.f64 phi1)))) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Compiler

Compiled 191 to 56 computations (70.7% saved)

series127.0ms (0.1%)

Counts

4 → 180

Calls

45 calls:

Time	Variable		Expression
33.0ms	R	@	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (+.f64 (cos.f64 phi1) (.f64 phi2 (neg.f64 (sin.f64 phi1)))) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
19.0ms	lambda2	@	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (+.f64 (cos.f64 phi1) (.f64 phi2 (neg.f64 (sin.f64 phi1)))) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
17.0ms	phi2	@	(+.f64 1/2 (/.f64 (+.f64 (cos.f64 phi1) (*.f64 phi2 (neg.f64 (sin.f64 phi1)))) 2))
3.0ms	lambda1	@	(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (+.f64 (cos.f64 phi1) (.f64 phi2 (neg.f64 (sin.f64 phi1)))) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
3.0ms	lambda2	@	(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (+.f64 (cos.f64 phi1) (.f64 phi2 (neg.f64 (sin.f64 phi1)))) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite402.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1116×	`rational_best-simplify-62`
548×	`rational_best-4`
548×	`rational_best-2`
548×	`rational_best-3`
548×	`rational_best-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	306
1	184	306
2	446	306
3	1410	290
4	6739	290

Stop Event

1×	node limit

Counts

4 → 86

Calls

Call 1

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

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

simplify1.4s (1.2%)

Algorithm

1×	egg-herbie

Rules

1000×	`rational_best-simplify-1`
914×	`rational_best-simplify-63`
688×	`rational_best-simplify-50`
680×	`rational_best-simplify-3`
626×	`rational_best-simplify-59`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	707	37662
1	2025	35734
2	4674	33218

Stop Event

1×	node limit

Counts

266 → 571

Calls

Call 1

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

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

eval3.4s (3%)

Compiler: Compiled 61624 to 35979 computations (41.6% saved)

prune1.6s (1.4%)

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	1384	23	1407
Fresh	1	11	12
Picked	1	0	1
Done	3	1	4
Total	1389	35	1424

Error

2.9b

Counts

1424 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	28.1b	(-.f64 (+.f64 (/.f64 (.f64 R (-.f64 phi2 phi1)) 4) (.f64 (-.f64 phi2 phi1) (.f64 R 1/2))) (-.f64 0 (/.f64 (.f64 R (-.f64 phi2 phi1)) 4)))
	28.2b	(+.f64 (/.f64 (.f64 R (-.f64 phi2 phi1)) 4) (/.f64 (.f64 (-.f64 phi2 phi1) (*.f64 R 3)) 4))
▶	28.1b	(+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R)))
	43.9b	(+.f64 (.f64 R (+.f64 (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 phi1)))) (.f64 lambda2 (cos.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 1/2)) (.f64 lambda2 (.f64 (sin.f64 (.f64 1/2 phi1)) -1/2))) (.f64 phi2 R)) (.f64 R (.f64 (+.f64 (.f64 lambda1 (.f64 1/8 (cos.f64 (.f64 1/2 phi1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 -1/8))) (pow.f64 phi2 2)))))
	51.8b	(.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1) (neg.f64 R))
	51.5b	(.f64 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1) (neg.f64 R))
	51.6b	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 lambda1 (neg.f64 R)))
	41.0b	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 (-.f64 lambda2 lambda1) R))
▶	44.3b	(*.f64 phi1 (neg.f64 R))
	52.1b	(.f64 lambda2 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))) R))
▶	51.5b	(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R))
	41.8b	(.f64 R (-.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi2)))))
	42.4b	(.f64 R (-.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))))
	28.1b	(*.f64 R (-.f64 phi2 phi1))
	41.0b	(.f64 R (+.f64 (/.f64 (.f64 (+.f64 lambda2 lambda2) (-.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 3) (cos.f64 (/.f64 (+.f64 phi1 phi2) -2)))) 4) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))))
	43.2b	(.f64 R (+.f64 (+.f64 (.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) (-.f64 (.f64 (pow.f64 phi1 2) -1/8) -1)) (.f64 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))) (+.f64 (.f64 (pow.f64 phi1 3) 1/48) (.f64 phi1 -1/2)))) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))))
▶	41.9b	(.f64 R (+.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 -1/2)))) (.f64 lambda1 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))
	51.8b	(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 lambda1)) (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 lambda1 phi2)))))
	41.0b	(.f64 R (+.f64 (.f64 lambda2 (-.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 4)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 4))) (.f64 (sin.f64 (/.f64 (+.f64 phi1 phi2) 4)) (sin.f64 (/.f64 (+.f64 phi1 phi2) 4))))) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))))
	41.9b	(.f64 R (+.f64 (.f64 lambda2 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 -1/2)))) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))))
	58.0b	(.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)))))))
	60.2b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
	48.8b	(.f64 R (.f64 lambda2 (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))))
	59.9b	(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
	51.5b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
▶	51.7b	(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2))))))
	44.1b	(.f64 R (sqrt.f64 (-.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda2 lambda1) (+.f64 1/2 (.f64 1/2 (-.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) phi2)))))))))
	43.5b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	42.3b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (/.f64 (-.f64 (+.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (-.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) 2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	41.8b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (-.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	44.4b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (+.f64 (cos.f64 phi2) (.f64 (sin.f64 phi2) (neg.f64 phi1))) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	43.6b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (cos.f64 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	43.5b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (cos.f64 phi1) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	44.8b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) 1)) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
✓	46.0b	(*.f64 R phi2)

Compiler

Compiled 1806 to 1246 computations (31% saved)

localize31.0ms (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)

series41.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	R	@	inf	(+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R)))
1.0ms	R	@	0	(+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R)))
1.0ms	phi2	@	0	(+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R)))
1.0ms	phi1	@	0	(+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R)))
1.0ms	R	@	-inf	(+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R)))

rewrite131.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`rational_best-simplify-48`
810×	`rational_best-simplify-52`
756×	`rational_best-simplify-63`
732×	`rational_best-simplify-55`
686×	`rational_best-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	71	23
2	155	23
3	431	17
4	1723	13

Stop Event

1×	node limit

Counts

1 → 85

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 phi2 R) (*.f64 R phi1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 phi2 R) (-.f64 (*.f64 R (neg.f64 phi1)) (*.f64 R (*.f64 phi1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 phi2 R) (+.f64 (*.f64 R (+.f64 phi1 phi2)) (*.f64 phi2 (neg.f64 R))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (neg.f64 phi1)) (*.f64 phi2 (neg.f64 R)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (neg.f64 phi1)) (+.f64 (*.f64 R phi1) (*.f64 (neg.f64 R) (+.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (neg.f64 phi1)) (+.f64 (+.f64 (*.f64 R phi1) (*.f64 (neg.f64 R) (+.f64 phi1 phi2))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (neg.f64 phi1)) (+.f64 (/.f64 (*.f64 R (-.f64 phi2 phi1)) -2) (/.f64 (*.f64 R (+.f64 phi1 phi2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (-.f64 phi2 phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (-.f64 phi2 phi1)) (*.f64 (*.f64 phi2 R) 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 (*.f64 R phi1) (*.f64 (neg.f64 R) (+.f64 phi1 phi2))) (*.f64 R phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (*.f64 R (+.f64 phi1 phi2)) (*.f64 (*.f64 phi2 R) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (*.f64 (neg.f64 R) (+.f64 phi1 phi2)) (*.f64 R (+.f64 phi1 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R phi1) (+.f64 (*.f64 R phi1) (*.f64 R (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 phi1 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (+.f64 phi2 phi2)) (+.f64 (*.f64 R (+.f64 phi1 phi2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (+.f64 phi2 phi2)) (+.f64 (*.f64 R (+.f64 phi1 phi2)) (*.f64 (*.f64 phi2 R) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (*.f64 phi1 -2)) (*.f64 (neg.f64 R) (+.f64 phi1 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (-.f64 (neg.f64 phi1) (-.f64 phi1 phi2))) (*.f64 R (neg.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 phi2 R) 2) (+.f64 (*.f64 R phi1) (/.f64 (*.f64 phi2 R) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 phi2 R) 2) (+.f64 (*.f64 R (+.f64 phi1 phi2)) (*.f64 -3 (/.f64 (*.f64 phi2 R) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 phi2 R) 2) (+.f64 (/.f64 (*.f64 R (-.f64 phi2 phi1)) -2) (/.f64 (*.f64 R phi1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 phi2 R) 2) (+.f64 (/.f64 (*.f64 phi2 R) -2) (*.f64 R phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (*.f64 phi1 -1/2)) (-.f64 (/.f64 (*.f64 R phi1) 2) (*.f64 phi2 R)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (*.f64 phi1 -1/2)) (+.f64 (+.f64 (*.f64 R phi1) (*.f64 (neg.f64 R) (+.f64 phi1 phi2))) (/.f64 (*.f64 R phi1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (*.f64 phi1 -1/2)) (+.f64 (/.f64 (*.f64 R (-.f64 phi2 phi1)) -2) (/.f64 (*.f64 phi2 R) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (*.f64 phi1 -1/2)) (+.f64 (/.f64 (*.f64 R phi1) 2) (*.f64 phi2 (neg.f64 R))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 R (-.f64 phi2 phi1)) 2) (/.f64 (*.f64 R (-.f64 phi2 phi1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 R) (+.f64 phi1 phi2)) (*.f64 (*.f64 phi2 R) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 phi2 R) 2) (*.f64 R phi1)) (/.f64 (*.f64 phi2 R) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 3 (/.f64 (*.f64 phi2 R) 2)) (+.f64 (*.f64 R (+.f64 phi1 phi2)) (/.f64 (*.f64 phi2 R) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (+.f64 phi1 phi2)) (*.f64 R (+.f64 phi1 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 3 (*.f64 R (*.f64 phi1 -1/2))) (-.f64 (/.f64 (*.f64 R phi1) 2) (*.f64 R (+.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 phi2 R) (*.f64 R (*.f64 phi1 -1/2))) (/.f64 (*.f64 R phi1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (*.f64 (neg.f64 R) (+.f64 phi1 phi2))) (*.f64 R (+.f64 phi1 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 R (*.f64 phi1 -1/2)) (+.f64 (*.f64 R phi1) (*.f64 (neg.f64 R) (+.f64 phi1 phi2)))) (/.f64 (*.f64 R phi1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 phi2 R) (*.f64 R (+.f64 phi1 phi2))) (*.f64 phi2 (neg.f64 R)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 phi2 R) 2) (*.f64 R (+.f64 phi1 phi2))) (*.f64 -3 (/.f64 (*.f64 phi2 R) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 3 (/.f64 (*.f64 phi2 R) 2)) (*.f64 R (+.f64 phi1 phi2))) (/.f64 (*.f64 phi2 R) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 3 (*.f64 R (*.f64 phi1 -1/2))) (*.f64 (neg.f64 R) (+.f64 phi1 phi2))) (/.f64 (*.f64 R phi1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 R (neg.f64 phi1)) (/.f64 (*.f64 R (-.f64 phi2 phi1)) -2)) (/.f64 (*.f64 R (+.f64 phi1 phi2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 R (*.f64 phi1 -1/2)) (/.f64 (*.f64 R (-.f64 phi2 phi1)) -2)) (/.f64 (*.f64 phi2 R) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 R (-.f64 phi2 phi1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 R (-.f64 (neg.f64 phi1) (neg.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 R (-.f64 phi2 phi1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 R (-.f64 phi2 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 R (-.f64 phi1 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 R (+.f64 phi1 phi1)) (*.f64 R (+.f64 phi1 phi2))))))) (#(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 phi1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 R R) (+.f64 (*.f64 phi1 -1/2) (*.f64 phi2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 R R) (-.f64 phi2 phi1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 R (-.f64 phi1 phi2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 R R) (-.f64 phi2 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 R 1/2) (-.f64 (+.f64 phi2 phi2) (+.f64 phi1 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 R 1/2) (-.f64 (*.f64 phi1 -2) (*.f64 -2 phi2)))))) (#(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 R 1/2) (+.f64 (*.f64 phi1 -2) (+.f64 phi2 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 phi2 phi1) (*.f64 R 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 phi2 phi1) (*.f64 R 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 R R) (-.f64 phi1 phi2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 phi2 phi1) R)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (-.f64 phi2 phi1) (*.f64 R 4))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 R R) (-.f64 (+.f64 phi1 phi1) (+.f64 phi2 phi2))) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (-.f64 phi2 phi1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 R R) (-.f64 phi2 phi1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (-.f64 phi1 phi2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 phi2 phi1) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 R R) (-.f64 phi1 phi2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 phi2 phi1) (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 R R) (-.f64 (+.f64 phi1 phi1) (+.f64 phi2 phi2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 R R) (-.f64 (+.f64 phi1 phi1) (+.f64 phi2 phi2))) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 phi2 (*.f64 R 4)) (*.f64 R (*.f64 phi1 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 R (+.f64 phi1 phi1)) (*.f64 R (+.f64 phi1 phi2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 R (*.f64 (+.f64 phi2 phi2) 4)) (*.f64 (*.f64 phi1 -2) (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 R 4) (*.f64 phi2 4)) (*.f64 (*.f64 R -4) (*.f64 phi1 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 phi1 -2) (*.f64 R 4)) (*.f64 R (*.f64 (+.f64 phi2 phi2) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 R -4) (*.f64 phi1 4)) (*.f64 (*.f64 R 4) (*.f64 phi2 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 R (*.f64 (+.f64 phi2 phi2) 4)) (*.f64 (+.f64 phi1 phi1) (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 R 4) (*.f64 phi2 4)) (*.f64 (*.f64 R 4) (*.f64 phi1 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 phi1 (*.f64 R -4)) (neg.f64 (*.f64 phi2 (*.f64 R 4)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 phi1 (*.f64 R -4)) (*.f64 -2 (*.f64 R (+.f64 phi1 phi2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 R (*.f64 phi1 4)) (*.f64 2 (*.f64 R (+.f64 phi1 phi2)))) -2)))) (#(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)))))))

simplify342.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1366×	`rational_best-simplify-63`
1178×	`rational_best-simplify-56`
1134×	`rational_best-simplify-1`
900×	`rational_best-simplify-49`
762×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	232	2967
1	574	2321
2	1261	1885
3	3708	1857

Stop Event

1×	node limit

Counts

121 → 109

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

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

localize9.0ms (0%)

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

localize57.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R))
✓	0.2b	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) R)
	2.6b	(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))

Compiler

Compiled 42 to 21 computations (50% saved)

series11.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite152.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`rational_best-simplify-63`
770×	`rational_best-2`
770×	`rational_best-3`
770×	`rational_best-1`
768×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	86	52
2	167	52
3	477	52
4	1822	52

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R) 2) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R) 4) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R) 4) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R) 4) (/.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R 3)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R) 4) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R) 2) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R) 2) (/.f64 (*.f64 -2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R 3)) 2) 2) (/.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R 3)) 4) (/.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (+.f64 R R)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 2 (*.f64 R 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 R 4) (+.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) -2)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4) (*.f64 R 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 R R) (+.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) -2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 R 4) (+.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) -2)))) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 2) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 4) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 4) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 4) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R) (*.f64 lambda2 3)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 4) (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R) (*.f64 lambda2 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 2) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 2) (/.f64 (*.f64 -2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R) (*.f64 lambda2 3)) 2) 2) (/.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R) (*.f64 lambda2 3)) 4) (/.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 (+.f64 R R))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R) (*.f64 lambda2 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) R) (*.f64 2 (*.f64 lambda2 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4) (*.f64 R (*.f64 lambda2 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 R 4) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 lambda2 4) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 1)))))

simplify353.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

920×	`rational_best-simplify-75`
854×	`rational_best-simplify-50`
830×	`rational_best-simplify-76`
820×	`rational_best-simplify-3`
804×	`rational_best-simplify-56`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	197	4293
1	528	4261
2	1383	4135
3	4067	4059

Stop Event

1×	node limit

Counts

123 → 126

Calls

Call 1

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

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

localize157.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2)))
✓	0.1b	(.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 phi2 -1/2))
✓	0.1b	(.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 phi2 -1/2)))))
✓	2.0b	(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2))))))

Compiler

Compiled 94 to 69 computations (26.6% saved)

series69.0ms (0.1%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
20.0ms	R	@	0	(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2))))))
14.0ms	phi1	@	-inf	(.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 phi2 -1/2)))))
3.0ms	lambda1	@	0	(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2))))))
2.0ms	phi1	@	inf	(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2))))))
2.0ms	phi1	@	-inf	(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2))))))

rewrite298.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1702×	`rational_best-4`
1702×	`rational_best-2`
1702×	`rational_best-3`
1702×	`rational_best-1`
1702×	`exponential-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	166
1	132	166
2	309	166
3	933	166
4	4036	158

Stop Event

1×	node limit

Counts

4 → 101

Calls

Call 1

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

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

simplify507.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1358×	`rational_best-simplify-75`
1032×	`rational_best-simplify-1`
934×	`rational_best-simplify-66`
754×	`rational_best-simplify-63`
570×	`rational_best-simplify-56`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	309	10685
1	801	10611
2	2088	10423
3	5654	10313

Stop Event

1×	node limit

Counts

233 → 233

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R lambda1))
(*.f64 R (neg.f64 lambda1))
(+.f64 (.f64 -1 (.f64 R lambda1)) (.f64 1/4 (.f64 phi1 (.f64 R (.f64 phi2 lambda1)))))
(+.f64 (.f64 R (neg.f64 lambda1)) (.f64 (.f64 R (.f64 phi2 lambda1)) (*.f64 phi1 1/4)))
(+.f64 (.f64 R (neg.f64 lambda1)) (.f64 1/4 (.f64 phi1 (.f64 R (*.f64 phi2 lambda1)))))
(-.f64 (.f64 (.f64 lambda1 (.f64 R phi2)) (.f64 phi1 1/4)) (*.f64 R lambda1))
(+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 R lambda1))) (+.f64 (.f64 -1 (.f64 R lambda1)) (.f64 1/4 (.f64 phi1 (.f64 R (*.f64 phi2 lambda1))))))
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(+.f64 (.f64 1/4 (.f64 phi1 (.f64 R (.f64 phi2 lambda1)))) (.f64 (.f64 R lambda1) (+.f64 -1 (*.f64 1/8 (pow.f64 phi1 2)))))
(+.f64 (.f64 (.f64 lambda1 (.f64 R phi2)) (.f64 phi1 1/4)) (.f64 (.f64 R lambda1) (+.f64 -1 (*.f64 1/8 (pow.f64 phi1 2)))))
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(+.f64 (.f64 (.f64 lambda1 (.f64 R phi2)) (+.f64 (.f64 phi1 1/4) (.f64 -1/96 (pow.f64 phi1 3)))) (.f64 (.f64 R lambda1) (+.f64 -1 (.f64 1/8 (pow.f64 phi1 2)))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)))
(neg.f64 (.f64 R (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))))
(.f64 R (.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 (.f64 R lambda1) (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))
(.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) (neg.f64 lambda1)))
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(-.f64 (.f64 R (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 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 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))))
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(-.f64 (.f64 R (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 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 -1 (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))))
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(-.f64 (.f64 R (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))))
(.f64 R (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (*.f64 1/2 phi2)))
(.f64 R (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))))
(.f64 R (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 phi2 lambda1))))
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(.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))))
(.f64 R (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (*.f64 1/2 phi2)))
(.f64 R (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))))
(.f64 R (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 phi2 lambda1))))
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(-.f64 (.f64 R (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
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(-.f64 (.f64 R (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))) (.f64 1/2 (.f64 R (.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1)))))
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(+.f64 (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 lambda1))) (.f64 R (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))))
(-.f64 (.f64 R (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda1)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 R lambda1)))
(.f64 -1 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) lambda1))
(neg.f64 (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 lambda1 (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) lambda1))
(neg.f64 (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 lambda1 (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) lambda1))
(neg.f64 (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 lambda1 (-.f64 (neg.f64 (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(.f64 -1 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) lambda1))
(neg.f64 (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
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(neg.f64 (.f64 lambda1 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
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(.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(.f64 (neg.f64 lambda1) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
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(.f64 lambda1 (neg.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
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1
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(/.f64 (.f64 2 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) 4)
(/.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (neg.f64 phi2)) (+.f64 (cos.f64 (*.f64 1/2 phi1)) (cos.f64 (/.f64 phi1 -2)))) 2)
(/.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (cos.f64 (/.f64 phi1 -2)) (.f64 (sin.f64 (*.f64 1/2 phi1)) (neg.f64 phi2)))) 2)
(/.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 (sin.f64 (*.f64 1/2 phi1)) (neg.f64 phi2)) (cos.f64 (/.f64 phi1 -2)))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 phi1)) phi2))) 4)
(+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2))) (.f64 2 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2)))) 8)
(/.f64 (.f64 2 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) 4)
(/.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) -2) (.f64 (sin.f64 (.f64 1/2 phi1)) (neg.f64 phi2))) -2)
(+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))
(/.f64 (-.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (cos.f64 (/.f64 phi1 -2))) (.f64 (sin.f64 (*.f64 1/2 phi1)) phi2)) 2)
(/.f64 (-.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (cos.f64 (/.f64 phi1 -2))) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))) 2)
(/.f64 (-.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2)) (-.f64 (cos.f64 (/.f64 phi1 -2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(/.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (-.f64 (cos.f64 (/.f64 phi1 -2)) (cos.f64 (.f64 1/2 phi1))) (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) 2)
(/.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (-.f64 (cos.f64 (/.f64 phi1 -2)) (cos.f64 (*.f64 1/2 phi1))))) 2)
(/.f64 (-.f64 (-.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (-.f64 (cos.f64 (/.f64 phi1 -2)) (.f64 (cos.f64 (*.f64 1/2 phi1)) 2))) 2)
(-.f64 (cos.f64 (.f64 1/2 phi1)) (/.f64 (+.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (-.f64 (cos.f64 (/.f64 phi1 -2)) (cos.f64 (.f64 1/2 phi1)))) 2))
(pow.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2))) 1)
(+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))
(neg.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (/.f64 phi2 2)) (cos.f64 (*.f64 1/2 phi1))))
(-.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (/.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (*.f64 1/2 phi1)) (/.f64 phi2 2)))

localize161.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))
	2.6b	(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
✓	3.5b	(.f64 R (+.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 -1/2)))) (.f64 lambda1 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))
✓	3.5b	(.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 -1/2)))

Compiler

Compiled 153 to 98 computations (35.9% saved)

series67.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
17.0ms	phi2	@	inf	(.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 -1/2)))
8.0ms	phi2	@	0	(.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 -1/2)))
4.0ms	R	@	0	(.f64 R (+.f64 (+.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 -1/2)))) (.f64 lambda1 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))
2.0ms	phi1	@	0	(.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 -1/2)))
2.0ms	lambda2	@	0	(.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 lambda2 -1/2)))

rewrite331.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`rational_best-simplify-62`
734×	`rational_best-simplify-85`
590×	`rational_best-simplify-81`
544×	`rational_best-simplify-63`
474×	`rational_best-simplify-55`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	118
1	181	118
2	403	118
3	1235	114
4	5489	112

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify474.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1334×	`rational_best-simplify-1`
900×	`rational_best-simplify-48`
886×	`rational_best-simplify-49`
866×	`rational_best-simplify-47`
836×	`rational_best-simplify-63`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	318	9264
1	829	9146
2	1999	9110
3	4670	8894

Stop Event

1×	node limit

Counts

150 → 173

Calls

Call 1

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

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

eval2.2s (1.9%)

Compiler: Compiled 26669 to 17562 computations (34.1% saved)

prune1.4s (1.2%)

Pruning

49 alts after pruning (47 fresh and 2 done)

	Pruned	Kept	Total
New	918	29	947
Fresh	11	18	29
Picked	1	0	1
Done	3	2	5
Total	933	49	982

Error

2.8b

Counts

982 → 49

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.3b	(-.f64 (/.f64 (.f64 R phi2) 2) (+.f64 (.f64 R (+.f64 phi1 phi2)) (.f64 (.f64 R phi2) -3/2)))
	28.1b	(-.f64 (-.f64 (/.f64 (.f64 R phi2) 2) (.f64 phi2 (.f64 R -3/2))) (.f64 R (+.f64 phi1 phi2)))
	28.1b	(-.f64 (+.f64 (/.f64 (.f64 R (-.f64 phi2 phi1)) 4) (.f64 (-.f64 phi2 phi1) (.f64 R 1/2))) (-.f64 0 (/.f64 (.f64 R (-.f64 phi2 phi1)) 4)))
	28.3b	(-.f64 (+.f64 (neg.f64 (.f64 (+.f64 phi1 phi2) (neg.f64 R))) (.f64 R (-.f64 (.f64 phi1 -1/2) phi1))) (/.f64 (.f64 phi1 R) 2))
	28.3b	(-.f64 (.f64 (.f64 phi1 R) -3/2) (.f64 R (-.f64 (-.f64 (neg.f64 phi2) phi1) (.f64 phi1 -1/2))))
	52.1b	(-.f64 (.f64 (.f64 lambda1 (.f64 R phi2)) (.f64 phi1 1/4)) (*.f64 R lambda1))
	28.3b	(-.f64 (.f64 (.f64 R phi2) 1/2) (+.f64 (.f64 R (+.f64 phi1 phi2)) (.f64 R (*.f64 phi2 -3/2))))
	28.2b	(-.f64 (.f64 (.f64 R phi2) 1/2) (.f64 R (-.f64 (+.f64 phi1 phi2) (.f64 phi2 3/2))))
	28.1b	(-.f64 (.f64 phi2 R) (.f64 R phi1))
▶	28.1b	(-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2)))
	28.2b	(-.f64 (.f64 R (+.f64 phi1 phi2)) (-.f64 (/.f64 (.f64 phi1 R) 2) (.f64 (.f64 phi1 -1/2) (*.f64 R 3))))
	28.2b	(+.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (-.f64 (.f64 phi1 -1/2) phi1))) (.f64 phi1 (.f64 R -1/2)))
	28.2b	(+.f64 (.f64 R (+.f64 phi1 phi2)) (-.f64 (.f64 R (-.f64 (.f64 phi1 -1/2) phi1)) (/.f64 (.f64 phi1 R) 2)))
	28.1b	(*.f64 (-.f64 phi2 phi1) R)
	52.3b	(.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 R))
	51.8b	(.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1) (neg.f64 R))
	51.5b	(.f64 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1) (neg.f64 R))
	51.6b	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 lambda1 (neg.f64 R)))
	41.0b	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 (-.f64 lambda2 lambda1) R))
	52.0b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R lambda2))
	53.0b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R lambda2))
✓	44.3b	(*.f64 phi1 (neg.f64 R))
	53.2b	(.f64 lambda2 (+.f64 (.f64 (.f64 R (sin.f64 (.f64 1/2 phi2))) (+.f64 (.f64 1/48 (pow.f64 phi1 3)) (.f64 -1/2 phi1))) (.f64 (.f64 R (cos.f64 (.f64 1/2 phi2))) (-.f64 (.f64 -1/8 (pow.f64 phi1 2)) -1))))
	51.5b	(.f64 lambda2 (.f64 (-.f64 (-.f64 (/.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 3 (/.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) -2))) R))
	51.5b	(.f64 lambda2 (.f64 (-.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 4)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 4))) (.f64 (sin.f64 (/.f64 (+.f64 phi1 phi2) 4)) (sin.f64 (/.f64 (+.f64 phi1 phi2) 4)))) R))
	52.4b	(.f64 lambda2 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 -1/2))) R))
	52.1b	(.f64 lambda2 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))) R))
	52.0b	(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi2)) R))
▶	51.8b	(.f64 R (-.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)))
	52.5b	(.f64 R (-.f64 (.f64 1/4 (.f64 phi2 (.f64 phi1 lambda1))) lambda1))
	43.2b	(.f64 R (+.f64 (+.f64 (.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) (-.f64 (.f64 (pow.f64 phi1 2) -1/8) -1)) (.f64 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))) (+.f64 (.f64 (pow.f64 phi1 3) 1/48) (.f64 phi1 -1/2)))) (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))))
	58.0b	(.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)))))))
	52.5b	(.f64 R (+.f64 (neg.f64 lambda1) (.f64 phi1 (.f64 (.f64 phi2 lambda1) 1/4))))
	42.7b	(.f64 R (+.f64 lambda2 (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1))))
	60.2b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
	53.0b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda2))
	48.8b	(.f64 R (.f64 lambda2 (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))))
	59.9b	(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
▶	51.5b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
	51.7b	(.f64 R (.f64 lambda1 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (/.f64 phi2 2)) (cos.f64 (*.f64 1/2 phi1)))))
	44.1b	(.f64 R (sqrt.f64 (-.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda2 lambda1) (+.f64 1/2 (.f64 1/2 (-.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) phi2)))))))))
	43.5b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	42.3b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (/.f64 (-.f64 (+.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (-.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) 2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	41.8b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (-.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	43.6b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (cos.f64 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	43.5b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (cos.f64 phi1) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
▶	51.5b	(*.f64 R (neg.f64 lambda1))
✓	46.0b	(*.f64 R phi2)
	62.0b	(.f64 -1/2 (.f64 phi1 (.f64 lambda2 (.f64 (sin.f64 (*.f64 1/2 phi2)) R))))

Compiler

Compiled 2115 to 1477 computations (30.2% saved)

localize30.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 10 computations (71.4% saved)

series22.0ms (0%)

Counts

2 → 60

Calls

18 calls:

Time	Variable		Point	Expression
16.0ms	phi1	@	0	(*.f64 R (+.f64 phi1 phi2))
1.0ms	R	@	-inf	(-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2)))
1.0ms	R	@	0	(-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2)))
1.0ms	phi1	@	0	(-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2)))
1.0ms	phi2	@	-inf	(-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2)))

rewrite272.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`rational_best-4`
820×	`rational_best-2`
820×	`rational_best-3`
820×	`rational_best-1`
820×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	65	38
2	130	38
3	420	26
4	2098	26

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 R (neg.f64 (+.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R (-.f64 phi2 phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 R (-.f64 phi2 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R (neg.f64 (+.f64 phi2 phi1))) (*.f64 R (+.f64 phi2 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R (neg.f64 (+.f64 phi2 phi1))) (neg.f64 (/.f64 (*.f64 R phi2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 R (*.f64 phi2 3)) (*.f64 R phi1)) (/.f64 (*.f64 R phi2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 R phi2) -1/2) (-.f64 (*.f64 R (*.f64 phi2 3)) (*.f64 R phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R phi2) (*.f64 R (neg.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 R 1/2) (-.f64 phi2 phi1)) (*.f64 (*.f64 R 1/2) (-.f64 phi2 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R (neg.f64 phi1)) (*.f64 R phi2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 R (+.f64 phi2 phi1)) -2) (/.f64 (-.f64 (*.f64 R (*.f64 phi2 3)) (*.f64 R phi1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 R (*.f64 phi2 3)) (*.f64 R phi1)) 2) (/.f64 (*.f64 R (+.f64 phi2 phi1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (*.f64 R phi2) -1/2)) (*.f64 R (neg.f64 (+.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 R (+.f64 phi2 phi1))) (-.f64 1 (/.f64 (*.f64 R phi2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (*.f64 R phi2) -1/2)) (-.f64 1 (*.f64 R (+.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 R (-.f64 phi2 phi1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 R (-.f64 phi2 phi1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 R (-.f64 phi2 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 R (-.f64 phi1 phi2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 R R) (/.f64 (-.f64 phi2 phi1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 R R) (*.f64 -1 (/.f64 (-.f64 phi1 phi2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 R R) (*.f64 1 (/.f64 (-.f64 phi2 phi1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 R 1/2) (-.f64 phi2 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 R (*.f64 -2 (-.f64 phi1 phi2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 R (-.f64 phi1 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 phi1 phi2) (neg.f64 R))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 R (*.f64 -2 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 R 1/2) (*.f64 -2 (-.f64 phi1 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 R) (-.f64 phi1 phi2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 R 4) (/.f64 (-.f64 phi2 phi1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 R 4) (*.f64 1/2 (/.f64 (-.f64 phi2 phi1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 R 4) (-.f64 phi2 phi1)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 R 1/2) (-.f64 phi2 phi1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (-.f64 phi1 phi2)) (*.f64 R 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 phi2 phi1) R)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 phi2 phi1) (-.f64 0 (neg.f64 R)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 phi1 phi2)) (neg.f64 (*.f64 R 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 R 4) (-.f64 phi2 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 phi2 phi1) 4) (*.f64 R 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 phi2 phi1) 2) (+.f64 R R))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 R (*.f64 -2 (-.f64 phi1 phi2))) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 R R) 4) (/.f64 (-.f64 phi2 phi1) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 R R) 4) (*.f64 1/4 (/.f64 (-.f64 phi2 phi1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 phi2 4) (*.f64 phi1 4)) (/.f64 R 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -2 (-.f64 phi1 phi2)) 2) (/.f64 R 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -2 (-.f64 phi1 phi2)) 2) (*.f64 R 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 R) (neg.f64 R)) (/.f64 (-.f64 phi1 phi2) 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 phi1 phi2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (*.f64 -2 (-.f64 phi1 phi2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 R 4) (-.f64 phi2 phi1)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (*.f64 2 (-.f64 phi1 phi2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 R (*.f64 -2 (-.f64 phi1 phi2))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 R R) (*.f64 2 (-.f64 phi1 phi2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 R (*.f64 2 (-.f64 phi1 phi2))) 2) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 R R) (*.f64 2 (-.f64 phi1 phi2))) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 R (*.f64 2 (-.f64 phi1 phi2))) 2) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 phi1 phi2) (*.f64 R 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 phi1 phi2) (*.f64 (+.f64 R R) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 R (*.f64 (*.f64 phi2 4) 4)) (*.f64 R (*.f64 (*.f64 (+.f64 phi2 phi1) 2) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4 (*.f64 (*.f64 phi2 -4) (/.f64 R -1/2))) (*.f64 4 (*.f64 R (*.f64 (+.f64 phi2 phi1) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 R (*.f64 (*.f64 phi2 4) 4)) (*.f64 R (+.f64 (*.f64 (+.f64 phi2 phi2) 4) (*.f64 (+.f64 phi2 phi1) 4)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 R R) (+.f64 (+.f64 phi2 phi2) (+.f64 phi2 phi1))) (*.f64 R (*.f64 (+.f64 phi2 phi1) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 R (+.f64 (*.f64 (+.f64 phi2 phi2) 4) (*.f64 (+.f64 phi2 phi1) 4))) (*.f64 R (*.f64 (*.f64 (+.f64 phi2 phi1) 2) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 phi2 4) (*.f64 phi1 4)) (*.f64 R 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 R 4) (-.f64 (*.f64 phi2 4) (*.f64 phi1 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 R 4) (*.f64 (*.f64 -2 (-.f64 phi1 phi2)) 2)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 -2 (-.f64 phi1 phi2)) 2) (*.f64 R 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 R (*.f64 -2 (-.f64 phi1 phi2))) 4) (*.f64 (*.f64 R (*.f64 -2 (-.f64 phi1 phi2))) 4)) 16)))) (#(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 +.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 R (-.f64 phi1 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R (+.f64 phi2 phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 R (+.f64 phi2 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R (-.f64 phi1 phi2)) (*.f64 R (+.f64 phi2 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 R phi2) -1/2) (*.f64 R (+.f64 (+.f64 phi2 phi2) (+.f64 phi2 phi1))))))) (#(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 (+.f64 phi2 phi2) (+.f64 phi2 phi1))) (/.f64 (*.f64 R phi2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 R (-.f64 phi2 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (+.f64 phi2 phi1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (+.f64 phi2 phi1)) (+.f64 (/.f64 (*.f64 R phi2) -1/2) (*.f64 R (+.f64 phi2 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 R (neg.f64 (+.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (*.f64 (+.f64 phi2 phi1) 2)) (*.f64 R (+.f64 phi2 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (*.f64 phi2 4)) (-.f64 (*.f64 R (*.f64 phi2 3)) (*.f64 R phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (*.f64 (+.f64 phi2 phi1) 1/2)) (/.f64 (*.f64 R (+.f64 phi2 phi1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R phi2) (+.f64 (neg.f64 (*.f64 R phi2)) (*.f64 R (-.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (+.f64 (+.f64 phi2 phi2) (+.f64 phi2 phi1))) (*.f64 R (+.f64 phi2 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (+.f64 phi2 (+.f64 phi2 phi1))) (+.f64 (neg.f64 (*.f64 R phi2)) (*.f64 R (+.f64 phi2 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 R (*.f64 (+.f64 phi2 phi1) 1/2))) (+.f64 (/.f64 (*.f64 R (+.f64 phi2 phi1)) -2) (*.f64 R (+.f64 phi2 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 R (+.f64 (+.f64 phi2 phi2) (+.f64 phi2 phi1))) (*.f64 R (+.f64 (+.f64 phi2 phi2) (+.f64 phi2 phi1)))) (+.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 (+.f64 phi2 phi2) (+.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (+.f64 phi2 phi1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (neg.f64 (+.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 (+.f64 phi2 phi1) 2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 R (*.f64 (+.f64 phi2 phi1) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 R R) 4) (*.f64 (*.f64 (+.f64 phi2 phi1) 2) 4)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (+.f64 phi2 phi1) 2) 4) (*.f64 (+.f64 R R) 4)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 R R) (*.f64 (*.f64 (+.f64 phi2 phi1) 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 phi2 phi1) 2) (*.f64 (+.f64 R R) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 R (*.f64 (*.f64 (+.f64 phi2 phi1) 2) 4)) (*.f64 R (*.f64 (*.f64 (+.f64 phi2 phi1) 2) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4 (*.f64 R (*.f64 (+.f64 phi2 phi1) 4))) (*.f64 4 (*.f64 R (*.f64 (+.f64 phi2 phi1) 4)))) 32)))) (#(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 (neg.f64 (+.f64 phi2 phi1))))))))

simplify358.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1062×	`rational_best-simplify-50`
1028×	`rational_best-simplify-49`
964×	`rational_best-simplify-64`
856×	`rational_best-simplify-3`
836×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	260	4314
1	656	3942
2	1625	2860
3	5178	2856

Stop Event

1×	node limit

Counts

164 → 158

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 2 phi2) (+.f64 phi1 phi2)) R)
(.f64 (-.f64 (.f64 2 phi2) (+.f64 phi2 phi1)) R)
(.f64 (-.f64 (.f64 2 phi2) (+.f64 phi1 phi2)) R)
(.f64 (-.f64 (.f64 2 phi2) (+.f64 phi2 phi1)) R)
(.f64 (-.f64 (.f64 2 phi2) (+.f64 phi1 phi2)) R)
(.f64 (-.f64 (.f64 2 phi2) (+.f64 phi2 phi1)) R)
(.f64 (-.f64 (.f64 2 phi2) (+.f64 phi1 phi2)) R)
(.f64 (-.f64 (.f64 2 phi2) (+.f64 phi2 phi1)) R)
(.f64 (-.f64 (.f64 2 phi2) (+.f64 phi1 phi2)) R)
(.f64 (-.f64 (.f64 2 phi2) (+.f64 phi2 phi1)) R)
(.f64 (-.f64 (.f64 2 phi2) (+.f64 phi1 phi2)) R)
(.f64 (-.f64 (.f64 2 phi2) (+.f64 phi2 phi1)) R)
(.f64 (-.f64 (.f64 2 phi2) (+.f64 phi1 phi2)) R)
(.f64 (-.f64 (.f64 2 phi2) (+.f64 phi2 phi1)) R)
(.f64 (-.f64 (.f64 2 phi2) (+.f64 phi1 phi2)) R)
(.f64 (-.f64 (.f64 2 phi2) (+.f64 phi2 phi1)) R)
(.f64 -1 (.f64 R (-.f64 (.f64 -2 phi2) (.f64 -1 (+.f64 phi1 phi2)))))
(.f64 (-.f64 (.f64 phi2 -2) (neg.f64 (+.f64 phi2 phi1))) (neg.f64 R))
(*.f64 (-.f64 (+.f64 phi2 phi1) (/.f64 phi2 1/2)) (neg.f64 R))
(.f64 -1 (.f64 R (-.f64 (.f64 -2 phi2) (.f64 -1 (+.f64 phi1 phi2)))))
(.f64 (-.f64 (.f64 phi2 -2) (neg.f64 (+.f64 phi2 phi1))) (neg.f64 R))
(*.f64 (-.f64 (+.f64 phi2 phi1) (/.f64 phi2 1/2)) (neg.f64 R))
(.f64 -1 (.f64 R (-.f64 (.f64 -2 phi2) (.f64 -1 (+.f64 phi1 phi2)))))
(.f64 (-.f64 (.f64 phi2 -2) (neg.f64 (+.f64 phi2 phi1))) (neg.f64 R))
(*.f64 (-.f64 (+.f64 phi2 phi1) (/.f64 phi2 1/2)) (neg.f64 R))
(.f64 -1 (.f64 R (-.f64 (.f64 -2 phi2) (.f64 -1 (+.f64 phi1 phi2)))))
(.f64 (-.f64 (.f64 phi2 -2) (neg.f64 (+.f64 phi2 phi1))) (neg.f64 R))
(*.f64 (-.f64 (+.f64 phi2 phi1) (/.f64 phi2 1/2)) (neg.f64 R))
(.f64 -1 (.f64 phi1 R))
(*.f64 R (neg.f64 phi1))
(*.f64 phi1 (neg.f64 R))
(+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 (-.f64 (.f64 2 R) R) phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 (-.f64 (.f64 2 R) R) phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 (-.f64 (.f64 2 R) R) phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(.f64 (-.f64 (.f64 2 R) R) phi2)
(.f64 phi2 (-.f64 (.f64 2 R) R))
(*.f64 phi2 R)
(+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 (-.f64 (.f64 2 R) R) phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 (-.f64 (.f64 2 R) R) phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 (-.f64 (.f64 2 R) R) phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(.f64 -1 (.f64 (-.f64 (.f64 -2 R) (.f64 -1 R)) phi2))
(.f64 phi2 (-.f64 (.f64 2 R) R))
(*.f64 phi2 R)
(+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 -1 (.f64 (-.f64 (.f64 -2 R) (.f64 -1 R)) phi2)))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 -1 (.f64 (-.f64 (.f64 -2 R) (.f64 -1 R)) phi2)))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 -1 (.f64 (-.f64 (.f64 -2 R) (.f64 -1 R)) phi2)))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(-.f64 (.f64 2 (.f64 R phi2)) (*.f64 R phi2))
(.f64 phi2 (-.f64 (.f64 2 R) R))
(*.f64 phi2 R)
(-.f64 (+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 2 (.f64 R phi2))) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(-.f64 (+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 2 (.f64 R phi2))) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(-.f64 (+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 2 (.f64 R phi2))) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(.f64 -1 (.f64 phi1 R))
(*.f64 R (neg.f64 phi1))
(*.f64 phi1 (neg.f64 R))
(-.f64 (+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 2 (.f64 R phi2))) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(-.f64 (+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 2 (.f64 R phi2))) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(-.f64 (+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 2 (.f64 R phi2))) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(.f64 -1 (.f64 phi1 R))
(*.f64 R (neg.f64 phi1))
(*.f64 phi1 (neg.f64 R))
(-.f64 (+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 2 (.f64 R phi2))) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(-.f64 (+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 2 (.f64 R phi2))) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(-.f64 (+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 2 (.f64 R phi2))) (*.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(*.f64 R phi2)
(.f64 phi2 (-.f64 (.f64 2 R) R))
(*.f64 phi2 R)
(+.f64 (.f64 R phi2) (.f64 phi1 R))
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(+.f64 (.f64 R phi2) (.f64 phi1 R))
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(+.f64 (.f64 R phi2) (.f64 phi1 R))
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(*.f64 phi1 R)
(+.f64 (.f64 R phi2) (.f64 phi1 R))
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(+.f64 (.f64 R phi2) (.f64 phi1 R))
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(+.f64 (.f64 R phi2) (.f64 phi1 R))
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(*.f64 phi1 R)
(+.f64 (.f64 R phi2) (.f64 phi1 R))
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(+.f64 (.f64 R phi2) (.f64 phi1 R))
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(+.f64 (.f64 R phi2) (.f64 phi1 R))
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(*.f64 phi1 R)
(+.f64 (.f64 R phi2) (.f64 phi1 R))
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(+.f64 (.f64 R phi2) (.f64 phi1 R))
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(+.f64 (.f64 R phi2) (.f64 phi1 R))
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(*.f64 R phi2)
(.f64 phi2 (-.f64 (.f64 2 R) R))
(*.f64 phi2 R)
(+.f64 (.f64 R phi2) (.f64 phi1 R))
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(+.f64 (.f64 R phi2) (.f64 phi1 R))
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(+.f64 (.f64 R phi2) (.f64 phi1 R))
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(*.f64 R phi2)
(.f64 phi2 (-.f64 (.f64 2 R) R))
(*.f64 phi2 R)
(+.f64 (.f64 R phi2) (.f64 phi1 R))
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(+.f64 (.f64 R phi2) (.f64 phi1 R))
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(+.f64 (.f64 R phi2) (.f64 phi1 R))
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(+.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (neg.f64 (+.f64 phi2 phi1))))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (*.f64 R (-.f64 phi2 phi1)) 0)
(*.f64 R (-.f64 phi2 phi1))
(+.f64 0 (*.f64 R (-.f64 phi2 phi1)))
(*.f64 R (-.f64 phi2 phi1))
(+.f64 (.f64 R (neg.f64 (+.f64 phi2 phi1))) (.f64 R (+.f64 phi2 phi2)))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 R (neg.f64 (+.f64 phi2 phi1))) (neg.f64 (/.f64 (.f64 R phi2) -1/2)))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (-.f64 (.f64 R (.f64 phi2 3)) (.f64 R phi1)) (/.f64 (.f64 R phi2) -1/2))
(+.f64 (/.f64 (.f64 phi2 R) -1/2) (-.f64 (.f64 R (.f64 phi2 3)) (.f64 phi1 R)))
(+.f64 (/.f64 (.f64 phi2 R) -1/2) (.f64 R (-.f64 (*.f64 phi2 3) phi1)))
(+.f64 (.f64 phi2 (.f64 R -2)) (.f64 R (-.f64 (.f64 phi2 3) phi1)))
(+.f64 (/.f64 (.f64 R phi2) -1/2) (-.f64 (.f64 R (.f64 phi2 3)) (.f64 R phi1)))
(+.f64 (/.f64 (.f64 phi2 R) -1/2) (-.f64 (.f64 R (.f64 phi2 3)) (.f64 phi1 R)))
(+.f64 (/.f64 (.f64 phi2 R) -1/2) (.f64 R (-.f64 (*.f64 phi2 3) phi1)))
(+.f64 (.f64 phi2 (.f64 R -2)) (.f64 R (-.f64 (.f64 phi2 3) phi1)))
(+.f64 (.f64 R phi2) (.f64 R (neg.f64 phi1)))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 (.f64 R 1/2) (-.f64 phi2 phi1)) (.f64 (.f64 R 1/2) (-.f64 phi2 phi1)))
(*.f64 R (-.f64 phi2 phi1))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 R phi2))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (/.f64 (.f64 R (+.f64 phi2 phi1)) -2) (/.f64 (-.f64 (.f64 R (.f64 phi2 3)) (.f64 R phi1)) 2))
(+.f64 (/.f64 (.f64 R (+.f64 phi2 phi1)) -2) (/.f64 (-.f64 (.f64 R (.f64 phi2 3)) (.f64 phi1 R)) 2))
(+.f64 (/.f64 (.f64 R (+.f64 phi2 phi1)) -2) (/.f64 (.f64 R (-.f64 (*.f64 phi2 3) phi1)) 2))
(/.f64 (+.f64 (.f64 R (neg.f64 (+.f64 phi2 phi1))) (.f64 R (-.f64 (*.f64 phi2 3) phi1))) 2)
(+.f64 (/.f64 (-.f64 (.f64 R (.f64 phi2 3)) (.f64 R phi1)) 2) (/.f64 (.f64 R (+.f64 phi2 phi1)) -2))
(+.f64 (/.f64 (.f64 R (+.f64 phi2 phi1)) -2) (/.f64 (-.f64 (.f64 R (.f64 phi2 3)) (.f64 phi1 R)) 2))
(+.f64 (/.f64 (.f64 R (+.f64 phi2 phi1)) -2) (/.f64 (.f64 R (-.f64 (*.f64 phi2 3) phi1)) 2))
(/.f64 (+.f64 (.f64 R (neg.f64 (+.f64 phi2 phi1))) (.f64 R (-.f64 (*.f64 phi2 3) phi1))) 2)
(+.f64 (neg.f64 (/.f64 (.f64 R phi2) -1/2)) (.f64 R (neg.f64 (+.f64 phi2 phi1))))
(+.f64 (.f64 R (neg.f64 phi1)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(+.f64 (.f64 phi1 (neg.f64 R)) (.f64 phi2 (-.f64 (*.f64 2 R) R)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (-.f64 -1 (.f64 R (+.f64 phi2 phi1))) (-.f64 1 (/.f64 (.f64 R phi2) -1/2)))
(+.f64 (-.f64 -1 (.f64 R (+.f64 phi2 phi1))) (-.f64 1 (/.f64 (.f64 phi2 R) -1/2)))
(+.f64 (-.f64 -1 (.f64 R (+.f64 phi2 phi1))) (-.f64 (.f64 2 (*.f64 phi2 R)) -1))
(+.f64 (-.f64 -1 (.f64 R (+.f64 phi2 phi1))) (+.f64 (.f64 2 (*.f64 phi2 R)) 1))
(+.f64 (-.f64 -1 (/.f64 (.f64 R phi2) -1/2)) (-.f64 1 (.f64 R (+.f64 phi2 phi1))))
(+.f64 (-.f64 -1 (/.f64 (.f64 phi2 R) -1/2)) (-.f64 1 (.f64 R (+.f64 phi2 phi1))))
(+.f64 (-.f64 -1 (.f64 phi2 (.f64 R -2))) (-.f64 1 (*.f64 R (+.f64 phi2 phi1))))
(+.f64 (+.f64 (.f64 2 (.f64 phi2 R)) -1) (-.f64 1 (*.f64 R (+.f64 phi2 phi1))))
(*.f64 R (-.f64 phi2 phi1))
(.f64 (.f64 R (-.f64 phi2 phi1)) 1)
(*.f64 R (-.f64 phi2 phi1))
(.f64 1 (.f64 R (-.f64 phi2 phi1)))
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(.f64 (.f64 R (-.f64 phi1 phi2)) -1)
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(*.f64 R (+.f64 phi2 phi1))
(/.f64 (.f64 (.f64 (+.f64 R R) 4) (.f64 (.f64 (+.f64 phi2 phi1) 2) 4)) 64)
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(/.f64 (.f64 (.f64 (.f64 (+.f64 phi2 phi1) 2) 4) (.f64 (+.f64 R R) 4)) 64)
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(/.f64 (.f64 (+.f64 R R) (.f64 (*.f64 (+.f64 phi2 phi1) 2) 4)) 16)
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(/.f64 (.f64 (.f64 (+.f64 phi2 phi1) 2) (*.f64 (+.f64 R R) 4)) 16)
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(/.f64 (+.f64 (.f64 R (.f64 (.f64 (+.f64 phi2 phi1) 2) 4)) (.f64 R (.f64 (.f64 (+.f64 phi2 phi1) 2) 4))) 16)
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(/.f64 (+.f64 (.f64 4 (.f64 R (.f64 (+.f64 phi2 phi1) 4))) (.f64 4 (.f64 R (.f64 (+.f64 phi2 phi1) 4)))) 32)
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(pow.f64 (*.f64 R (+.f64 phi2 phi1)) 1)
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))
(neg.f64 (*.f64 R (neg.f64 (+.f64 phi2 phi1))))
(+.f64 (.f64 phi1 R) (.f64 phi2 R))
(*.f64 R (+.f64 phi2 phi1))

localize21.0ms (0%)

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

localize59.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (.f64 R phi2) 2) (+.f64 (.f64 R (+.f64 phi1 phi2)) (.f64 (.f64 R phi2) -3/2)))
	0.0b	(*.f64 R (+.f64 phi1 phi2))
✓	0.2b	(.f64 (.f64 R phi2) -3/2)
✓	0.4b	(+.f64 (.f64 R (+.f64 phi1 phi2)) (.f64 (*.f64 R phi2) -3/2))

Compiler

Compiled 59 to 23 computations (61% saved)

series25.0ms (0%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
16.0ms	R	@	inf	(+.f64 (.f64 R (+.f64 phi1 phi2)) (.f64 (*.f64 R phi2) -3/2))
1.0ms	R	@	-inf	(-.f64 (/.f64 (.f64 R phi2) 2) (+.f64 (.f64 R (+.f64 phi1 phi2)) (.f64 (.f64 R phi2) -3/2)))
1.0ms	R	@	0	(-.f64 (/.f64 (.f64 R phi2) 2) (+.f64 (.f64 R (+.f64 phi1 phi2)) (.f64 (.f64 R phi2) -3/2)))
1.0ms	R	@	0	(+.f64 (.f64 R (+.f64 phi1 phi2)) (.f64 (*.f64 R phi2) -3/2))
0.0ms	R	@	-inf	(+.f64 (.f64 R (+.f64 phi1 phi2)) (.f64 (*.f64 R phi2) -3/2))

rewrite267.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1610×	`rational_best-4`
1610×	`rational_best-2`
1610×	`rational_best-3`
1610×	`rational_best-1`
1610×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	93
1	101	93
2	235	93
3	723	69
4	3824	69

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

Inputs
(+.f64 (.f64 R (+.f64 phi1 phi2)) (.f64 (*.f64 R phi2) -3/2))
(.f64 (.f64 R phi2) -3/2)
(-.f64 (/.f64 (.f64 R phi2) 2) (+.f64 (.f64 R (+.f64 phi1 phi2)) (.f64 (.f64 R phi2) -3/2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (+.f64 phi1 phi2)) (*.f64 (*.f64 R phi2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (*.f64 phi2 -3/2)) (*.f64 (+.f64 phi1 phi2) (neg.f64 R)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (*.f64 phi2 -3/2)) (+.f64 (*.f64 (*.f64 R phi2) 3/2) (-.f64 (*.f64 R (*.f64 phi2 -3/2)) (*.f64 R (+.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 R phi2) -3) (-.f64 (*.f64 R (*.f64 phi2 -3/2)) (*.f64 R (+.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 phi1 phi2) (+.f64 R R)) (+.f64 (*.f64 R (+.f64 phi1 phi2)) (*.f64 (*.f64 R phi2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))) 2) (/.f64 (neg.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 R (*.f64 phi2 -3/2)) 2) (-.f64 (*.f64 (+.f64 phi1 phi2) (neg.f64 R)) (/.f64 (*.f64 R (*.f64 phi2 -3/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 R (+.f64 phi1 phi2)) 2) (-.f64 (*.f64 (*.f64 R phi2) 3/2) (/.f64 (*.f64 R (+.f64 phi1 phi2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 R (+.f64 phi1 phi2)) (/.f64 (*.f64 R (*.f64 phi2 -3/2)) 2)) (neg.f64 (/.f64 (*.f64 R (*.f64 phi2 -3/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 R (*.f64 phi2 -3/2)) (/.f64 (*.f64 R (+.f64 phi1 phi2)) 2)) (neg.f64 (/.f64 (*.f64 R (+.f64 phi1 phi2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 R (*.f64 phi2 -3/2)) (-.f64 (*.f64 R (*.f64 phi2 -3/2)) (*.f64 R (+.f64 phi1 phi2)))) (*.f64 (*.f64 R phi2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 R (+.f64 phi1 phi2)) 2) (*.f64 (*.f64 R phi2) 3/2)) (neg.f64 (/.f64 (*.f64 R (+.f64 phi1 phi2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 R (*.f64 phi2 -3/2)) 2) (*.f64 (+.f64 phi1 phi2) (neg.f64 R))) (neg.f64 (/.f64 (*.f64 R (*.f64 phi2 -3/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 R R) (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 R R) (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (*.f64 (+.f64 R R) (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (+.f64 R R) (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)) R)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 R R) (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 R R) (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 R phi2) -3)) (*.f64 (+.f64 phi1 phi2) (*.f64 2 (+.f64 R R)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 R R) (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))) (*.f64 2 (*.f64 (+.f64 R R) (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R (*.f64 phi2 -3/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 R (*.f64 phi2 -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 R (*.f64 phi2 -3/2)) 2) (/.f64 (*.f64 R (*.f64 phi2 -3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 R (*.f64 phi2 -3/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 R phi2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 R (*.f64 phi2 -3/2)) 2) (/.f64 (*.f64 (*.f64 R phi2) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (*.f64 phi2 -3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 R phi2) 3/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 R phi2) -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 R phi2) -3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 R phi2) -3)) (*.f64 2 (*.f64 (*.f64 R phi2) -3))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 R (*.f64 phi2 -3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 R phi2) 3/2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R (*.f64 phi2 -3/2)) (-.f64 (neg.f64 (*.f64 (*.f64 R phi2) -3)) (+.f64 (*.f64 R (+.f64 phi1 phi2)) (/.f64 (*.f64 R phi2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 R phi2) 1/2) (neg.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 phi1 phi2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (*.f64 R phi2) 1/2) (*.f64 R (+.f64 phi1 phi2))) (*.f64 (*.f64 R phi2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 R phi2) 3/2) (-.f64 (*.f64 (*.f64 R phi2) 1/2) (*.f64 R (+.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 phi1 phi2) (neg.f64 R)) (*.f64 R (+.f64 phi2 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 (+.f64 phi1 phi2) (neg.f64 R)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 R (+.f64 phi1 phi2)) (/.f64 (*.f64 R phi2) -2)) (-.f64 (*.f64 R (-.f64 phi2 (*.f64 (+.f64 phi1 phi2) 2))) (*.f64 R (*.f64 phi2 -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))) (*.f64 (*.f64 R phi2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))) (neg.f64 (/.f64 (*.f64 R phi2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 R phi2) 4) (-.f64 (/.f64 (*.f64 R phi2) 4) (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 R phi2) -2) (-.f64 (*.f64 R phi2) (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 R phi2) (/.f64 (*.f64 R (+.f64 phi1 phi2)) 2)) (-.f64 (*.f64 R phi2) (/.f64 (*.f64 R (+.f64 phi1 phi2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 R phi2) 4) (*.f64 R (*.f64 phi2 -3/2))) (-.f64 (/.f64 (*.f64 R phi2) 4) (*.f64 R (+.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 R phi2) 4) (*.f64 R (+.f64 phi1 phi2))) (-.f64 (/.f64 (*.f64 R phi2) 4) (*.f64 R (*.f64 phi2 -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 R phi2) 4) (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))) (/.f64 (*.f64 R phi2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (*.f64 R phi2) 4) (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))) (neg.f64 (/.f64 (*.f64 R phi2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))) 2)) (-.f64 (*.f64 (*.f64 R phi2) 1/2) (/.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 R phi2) (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))) (/.f64 (*.f64 R phi2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (*.f64 R (+.f64 phi1 phi2)) 2)) (-.f64 (*.f64 R (+.f64 phi2 phi2)) (/.f64 (*.f64 R (+.f64 phi1 phi2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (*.f64 R (*.f64 phi2 -3/2)) 2)) (-.f64 (-.f64 (*.f64 (*.f64 R phi2) 1/2) (*.f64 R (+.f64 phi1 phi2))) (/.f64 (*.f64 R (*.f64 phi2 -3/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (*.f64 R phi2) 1/2) (/.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))) 2)) (neg.f64 (/.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (*.f64 R phi2) -2)) (neg.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (*.f64 R phi2) -4)) (-.f64 (/.f64 (*.f64 R phi2) 4) (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (*.f64 (*.f64 R phi2) 1/2) (*.f64 R (+.f64 phi1 phi2))) (/.f64 (*.f64 R (*.f64 phi2 -3/2)) 2)) (neg.f64 (/.f64 (*.f64 R (*.f64 phi2 -3/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 R (-.f64 phi2 (*.f64 (+.f64 phi1 phi2) 2))) (*.f64 R (*.f64 phi2 -3/2))) (+.f64 (*.f64 R (+.f64 phi1 phi2)) (/.f64 (*.f64 R phi2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (*.f64 (*.f64 R phi2) -3)) (+.f64 (*.f64 R (+.f64 phi1 phi2)) (/.f64 (*.f64 R phi2) -2))) (*.f64 R (*.f64 phi2 -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 phi1 phi2) (neg.f64 R)) 2) (/.f64 (+.f64 (*.f64 (+.f64 phi1 phi2) (neg.f64 R)) (*.f64 (*.f64 R phi2) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 (*.f64 R phi2) 1/2) (*.f64 R (+.f64 phi1 phi2))) 2) (/.f64 (+.f64 (*.f64 R (+.f64 phi2 phi2)) (neg.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 R (+.f64 phi2 phi2)) (neg.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))))) 2) (/.f64 (-.f64 (*.f64 (*.f64 R phi2) 1/2) (*.f64 R (+.f64 phi1 phi2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 R phi2) 3/2) 2) (/.f64 (+.f64 (*.f64 (*.f64 R phi2) 3/2) (*.f64 R (-.f64 phi2 (*.f64 (+.f64 phi1 phi2) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 (*.f64 R phi2) 3/2) (*.f64 R (-.f64 phi2 (*.f64 (+.f64 phi1 phi2) 2)))) 2) (/.f64 (*.f64 (*.f64 R phi2) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 (+.f64 phi1 phi2) (neg.f64 R)) (*.f64 (*.f64 R phi2) 4)) 2) (/.f64 (*.f64 (+.f64 phi1 phi2) (neg.f64 R)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))) 2) (/.f64 (+.f64 (*.f64 R phi2) (neg.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 R phi2) (neg.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))))) 2) (/.f64 (neg.f64 (*.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 R (+.f64 phi2 phi2)) (/.f64 (*.f64 R (+.f64 phi1 phi2)) 2)) (neg.f64 (/.f64 (*.f64 R (+.f64 phi1 phi2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 R (+.f64 phi1 phi2))) (-.f64 1 (*.f64 (*.f64 R phi2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 R (*.f64 phi2 -3/2))) (-.f64 -1 (+.f64 (*.f64 R (+.f64 phi1 phi2)) (/.f64 (*.f64 R phi2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 R (*.f64 phi2 -3/2))) (-.f64 1 (+.f64 (*.f64 R (+.f64 phi1 phi2)) (/.f64 (*.f64 R phi2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 R (+.f64 phi1 phi2))) (-.f64 -1 (*.f64 (*.f64 R phi2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (*.f64 R (+.f64 phi1 phi2)) (/.f64 (*.f64 R phi2) -2))) (-.f64 1 (*.f64 R (*.f64 phi2 -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (*.f64 R (+.f64 phi1 phi2)) (/.f64 (*.f64 R phi2) -2))) (-.f64 -1 (*.f64 R (*.f64 phi2 -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (*.f64 R phi2) -2)) (-.f64 -1 (*.f64 R (+.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 (*.f64 R phi2) -2)) (-.f64 1 (*.f64 R (+.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 phi1 phi2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 R (+.f64 phi1 phi2)) (*.f64 (*.f64 R phi2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 R (+.f64 phi1 phi2)) (*.f64 (*.f64 R phi2) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 phi1 phi2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (-.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (*.f64 2 (-.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 2 (-.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 phi1 phi2))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 phi1 phi2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 R (+.f64 phi1 phi2)) (*.f64 (*.f64 R phi2) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 phi1 phi2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (-.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 phi1 phi2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 R (-.f64 phi2 (*.f64 (+.f64 phi1 phi2) 2))) (neg.f64 (*.f64 (*.f64 R phi2) -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 R phi2) 4) (*.f64 (*.f64 R (+.f64 phi1 phi2)) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (-.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 phi1 phi2))))) (*.f64 2 (*.f64 2 (-.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 phi1 phi2)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 2 (*.f64 (+.f64 R R) (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 R (-.f64 phi2 (*.f64 (+.f64 phi1 phi2) 2))) (*.f64 (*.f64 R phi2) -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (*.f64 (*.f64 R phi2) -3)) (neg.f64 (*.f64 R (-.f64 phi2 (*.f64 (+.f64 phi1 phi2) 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 R (+.f64 phi1 phi2)) -2) (neg.f64 (*.f64 (*.f64 R phi2) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 R phi2) 4) (*.f64 (+.f64 phi1 phi2) (+.f64 R R))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 phi1 phi2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 R (+.f64 phi1 phi2)) (*.f64 (*.f64 R phi2) -2)))))))

simplify539.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1452×	`rational_best-simplify-62`
1062×	`rational_best-simplify-1`
618×	`rational_best-simplify-47`
540×	`rational_best-simplify-52`
516×	`rational_best-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	280	6498
1	666	5758
2	1699	5200
3	6751	3900

Stop Event

1×	node limit

Counts

208 → 182

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -3/2 phi2) (+.f64 phi1 phi2)) R)
(.f64 (+.f64 (.f64 -3/2 phi2) (+.f64 phi1 phi2)) R)
(.f64 (+.f64 (.f64 -3/2 phi2) (+.f64 phi1 phi2)) R)
(.f64 (+.f64 (.f64 -3/2 phi2) (+.f64 phi1 phi2)) R)
(.f64 (+.f64 (.f64 -3/2 phi2) (+.f64 phi1 phi2)) R)
(.f64 (+.f64 (.f64 -3/2 phi2) (+.f64 phi1 phi2)) R)
(.f64 (+.f64 (.f64 -3/2 phi2) (+.f64 phi1 phi2)) R)
(.f64 (+.f64 (.f64 -3/2 phi2) (+.f64 phi1 phi2)) R)
(.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 phi1 phi2)) (.f64 3/2 phi2)) R))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 phi1 phi2)) (.f64 3/2 phi2)) R))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 phi1 phi2)) (.f64 3/2 phi2)) R))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 phi1 phi2)) (.f64 3/2 phi2)) R))
(+.f64 (.f64 R phi2) (.f64 -3/2 (*.f64 R phi2)))
(+.f64 (.f64 R phi2) (+.f64 (.f64 phi1 R) (.f64 -3/2 (.f64 R phi2))))
(+.f64 (.f64 R phi2) (+.f64 (.f64 phi1 R) (.f64 -3/2 (.f64 R phi2))))
(+.f64 (.f64 R phi2) (+.f64 (.f64 phi1 R) (.f64 -3/2 (.f64 R phi2))))
(*.f64 phi1 R)
(+.f64 (.f64 R phi2) (+.f64 (.f64 -3/2 (.f64 R phi2)) (.f64 phi1 R)))
(+.f64 (.f64 R phi2) (+.f64 (.f64 -3/2 (.f64 R phi2)) (.f64 phi1 R)))
(+.f64 (.f64 R phi2) (+.f64 (.f64 -3/2 (.f64 R phi2)) (.f64 phi1 R)))
(*.f64 phi1 R)
(+.f64 (.f64 R phi2) (+.f64 (.f64 -3/2 (.f64 R phi2)) (.f64 phi1 R)))
(+.f64 (.f64 R phi2) (+.f64 (.f64 -3/2 (.f64 R phi2)) (.f64 phi1 R)))
(+.f64 (.f64 R phi2) (+.f64 (.f64 -3/2 (.f64 R phi2)) (.f64 phi1 R)))
(*.f64 phi1 R)
(+.f64 (.f64 phi1 R) (.f64 (+.f64 R (*.f64 -3/2 R)) phi2))
(+.f64 (.f64 phi1 R) (.f64 (+.f64 R (*.f64 -3/2 R)) phi2))
(+.f64 (.f64 phi1 R) (.f64 (+.f64 R (*.f64 -3/2 R)) phi2))
(.f64 (+.f64 R (.f64 -3/2 R)) phi2)
(+.f64 (.f64 phi1 R) (.f64 (+.f64 R (*.f64 -3/2 R)) phi2))
(+.f64 (.f64 phi1 R) (.f64 (+.f64 R (*.f64 -3/2 R)) phi2))
(+.f64 (.f64 phi1 R) (.f64 (+.f64 R (*.f64 -3/2 R)) phi2))
(.f64 -1 (.f64 phi2 (+.f64 (.f64 -1 R) (.f64 3/2 R))))
(+.f64 (.f64 -1 (.f64 phi2 (+.f64 (.f64 -1 R) (.f64 3/2 R)))) (*.f64 phi1 R))
(+.f64 (.f64 -1 (.f64 phi2 (+.f64 (.f64 -1 R) (.f64 3/2 R)))) (*.f64 phi1 R))
(+.f64 (.f64 -1 (.f64 phi2 (+.f64 (.f64 -1 R) (.f64 3/2 R)))) (*.f64 phi1 R))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 -3/2 (.f64 R phi2))
(.f64 R (-.f64 (.f64 1/2 phi2) (+.f64 phi1 (+.f64 (*.f64 -3/2 phi2) phi2))))
(.f64 R (-.f64 (.f64 1/2 phi2) (+.f64 phi1 (+.f64 (*.f64 -3/2 phi2) phi2))))
(.f64 R (-.f64 (.f64 1/2 phi2) (+.f64 phi1 (+.f64 (*.f64 -3/2 phi2) phi2))))
(.f64 R (-.f64 (.f64 1/2 phi2) (+.f64 phi1 (+.f64 (*.f64 -3/2 phi2) phi2))))
(.f64 (-.f64 (.f64 1/2 phi2) (+.f64 (*.f64 -3/2 phi2) (+.f64 phi1 phi2))) R)
(.f64 (-.f64 (.f64 1/2 phi2) (+.f64 (*.f64 -3/2 phi2) (+.f64 phi1 phi2))) R)
(.f64 (-.f64 (.f64 1/2 phi2) (+.f64 (*.f64 -3/2 phi2) (+.f64 phi1 phi2))) R)
(.f64 (-.f64 (.f64 1/2 phi2) (+.f64 (*.f64 -3/2 phi2) (+.f64 phi1 phi2))) R)
(.f64 -1 (.f64 (-.f64 (.f64 -1/2 phi2) (+.f64 (.f64 -1 (+.f64 phi1 phi2)) (*.f64 3/2 phi2))) R))
(.f64 -1 (.f64 (-.f64 (.f64 -1/2 phi2) (+.f64 (.f64 -1 (+.f64 phi1 phi2)) (*.f64 3/2 phi2))) R))
(.f64 -1 (.f64 (-.f64 (.f64 -1/2 phi2) (+.f64 (.f64 -1 (+.f64 phi1 phi2)) (*.f64 3/2 phi2))) R))
(.f64 -1 (.f64 (-.f64 (.f64 -1/2 phi2) (+.f64 (.f64 -1 (+.f64 phi1 phi2)) (*.f64 3/2 phi2))) R))
(.f64 -1 (.f64 phi1 R))
(+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 (-.f64 (.f64 1/2 R) (+.f64 R (*.f64 -3/2 R))) phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 (-.f64 (.f64 1/2 R) (+.f64 R (*.f64 -3/2 R))) phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 (-.f64 (.f64 1/2 R) (+.f64 R (*.f64 -3/2 R))) phi2))
(.f64 (-.f64 (.f64 1/2 R) (+.f64 R (*.f64 -3/2 R))) phi2)
(+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 (-.f64 (.f64 1/2 R) (+.f64 R (*.f64 -3/2 R))) phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 (-.f64 (.f64 1/2 R) (+.f64 R (*.f64 -3/2 R))) phi2))
(+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 (-.f64 (.f64 1/2 R) (+.f64 R (*.f64 -3/2 R))) phi2))
(.f64 -1 (.f64 phi2 (-.f64 (.f64 -1/2 R) (+.f64 (.f64 -1 R) (*.f64 3/2 R)))))
(+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 -1 (.f64 phi2 (-.f64 (.f64 -1/2 R) (+.f64 (.f64 -1 R) (*.f64 3/2 R))))))
(+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 -1 (.f64 phi2 (-.f64 (.f64 -1/2 R) (+.f64 (.f64 -1 R) (*.f64 3/2 R))))))
(+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 -1 (.f64 phi2 (-.f64 (.f64 -1/2 R) (+.f64 (.f64 -1 R) (*.f64 3/2 R))))))
(-.f64 (.f64 1/2 (.f64 R phi2)) (+.f64 (.f64 R phi2) (.f64 -3/2 (*.f64 R phi2))))
(-.f64 (+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 1/2 (.f64 R phi2))) (+.f64 (.f64 R phi2) (.f64 -3/2 (*.f64 R phi2))))
(-.f64 (+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 1/2 (.f64 R phi2))) (+.f64 (.f64 R phi2) (.f64 -3/2 (*.f64 R phi2))))
(-.f64 (+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 1/2 (.f64 R phi2))) (+.f64 (.f64 R phi2) (.f64 -3/2 (*.f64 R phi2))))
(.f64 -1 (.f64 phi1 R))
(-.f64 (+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 1/2 (.f64 R phi2))) (+.f64 (.f64 R phi2) (.f64 -3/2 (*.f64 R phi2))))
(-.f64 (+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 1/2 (.f64 R phi2))) (+.f64 (.f64 R phi2) (.f64 -3/2 (*.f64 R phi2))))
(-.f64 (+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 1/2 (.f64 R phi2))) (+.f64 (.f64 R phi2) (.f64 -3/2 (*.f64 R phi2))))
(.f64 -1 (.f64 phi1 R))
(-.f64 (+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 1/2 (.f64 R phi2))) (+.f64 (.f64 R phi2) (.f64 -3/2 (*.f64 R phi2))))
(-.f64 (+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 1/2 (.f64 R phi2))) (+.f64 (.f64 R phi2) (.f64 -3/2 (*.f64 R phi2))))
(-.f64 (+.f64 (.f64 -1 (.f64 phi1 R)) (.f64 1/2 (.f64 R phi2))) (+.f64 (.f64 R phi2) (.f64 -3/2 (*.f64 R phi2))))
(-.f64 (.f64 R (+.f64 phi1 phi2)) (.f64 (*.f64 R phi2) 3/2))
(-.f64 (.f64 R (.f64 phi2 -3/2)) (*.f64 (+.f64 phi1 phi2) (neg.f64 R)))
(-.f64 (.f64 R (.f64 phi2 -3/2)) (+.f64 (.f64 (.f64 R phi2) 3/2) (-.f64 (.f64 R (.f64 phi2 -3/2)) (*.f64 R (+.f64 phi1 phi2)))))
(-.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2))) 0)
(-.f64 0 (neg.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2)))))
(-.f64 (.f64 (.f64 R phi2) -3) (-.f64 (.f64 R (.f64 phi2 -3/2)) (*.f64 R (+.f64 phi1 phi2))))
(-.f64 (.f64 (+.f64 phi1 phi2) (+.f64 R R)) (+.f64 (.f64 R (+.f64 phi1 phi2)) (.f64 (.f64 R phi2) 3/2)))
(-.f64 (/.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2))) 2) (/.f64 (neg.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2)))) 2))
(-.f64 (/.f64 (.f64 R (.f64 phi2 -3/2)) 2) (-.f64 (.f64 (+.f64 phi1 phi2) (neg.f64 R)) (/.f64 (.f64 R (*.f64 phi2 -3/2)) 2)))
(-.f64 (/.f64 (.f64 R (+.f64 phi1 phi2)) 2) (-.f64 (.f64 (.f64 R phi2) 3/2) (/.f64 (.f64 R (+.f64 phi1 phi2)) 2)))
(-.f64 (+.f64 (.f64 R (+.f64 phi1 phi2)) (/.f64 (.f64 R (.f64 phi2 -3/2)) 2)) (neg.f64 (/.f64 (.f64 R (*.f64 phi2 -3/2)) 2)))
(-.f64 (+.f64 (.f64 R (.f64 phi2 -3/2)) (/.f64 (.f64 R (+.f64 phi1 phi2)) 2)) (neg.f64 (/.f64 (.f64 R (+.f64 phi1 phi2)) 2)))
(-.f64 (-.f64 (.f64 R (.f64 phi2 -3/2)) (-.f64 (.f64 R (.f64 phi2 -3/2)) (.f64 R (+.f64 phi1 phi2)))) (.f64 (*.f64 R phi2) 3/2))
(-.f64 (-.f64 (/.f64 (.f64 R (+.f64 phi1 phi2)) 2) (.f64 (.f64 R phi2) 3/2)) (neg.f64 (/.f64 (.f64 R (+.f64 phi1 phi2)) 2)))
(-.f64 (-.f64 (/.f64 (.f64 R (.f64 phi2 -3/2)) 2) (.f64 (+.f64 phi1 phi2) (neg.f64 R))) (neg.f64 (/.f64 (.f64 R (*.f64 phi2 -3/2)) 2)))
(.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2)))
(.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))) 1)
(.f64 1 (.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))))
(.f64 (neg.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))) -1)
(.f64 (.f64 (+.f64 R R) (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))) 1/2)
(.f64 1/2 (.f64 (+.f64 R R) (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))))
(.f64 1/4 (.f64 2 (.f64 (+.f64 R R) (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2)))))
(.f64 (.f64 2 (.f64 (+.f64 R R) (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2)))) 1/4)
(.f64 (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2)) R)
(/.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2))) 1)
(/.f64 (neg.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2)))) -1)
(/.f64 (.f64 (+.f64 R R) (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2))) 2)
(/.f64 (.f64 2 (.f64 (+.f64 R R) (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 R phi2) -3)) (.f64 (+.f64 phi1 phi2) (*.f64 2 (+.f64 R R)))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 R R) (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2)))) (.f64 2 (.f64 (+.f64 R R) (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2))))) 8)
(pow.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2))) 1)
(neg.f64 (neg.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2)))))
(+.f64 (.f64 R (.f64 phi2 -3/2)) 0)
(+.f64 0 (.f64 R (.f64 phi2 -3/2)))
(+.f64 (/.f64 (.f64 R (.f64 phi2 -3/2)) 2) (/.f64 (.f64 R (.f64 phi2 -3/2)) 2))
(-.f64 (.f64 R (.f64 phi2 -3/2)) 0)
(-.f64 0 (.f64 (.f64 R phi2) 3/2))
(-.f64 (/.f64 (.f64 R (.f64 phi2 -3/2)) 2) (/.f64 (.f64 (.f64 R phi2) 3/2) 2))
(/.f64 (.f64 R (.f64 phi2 -3/2)) 1)
(/.f64 (.f64 (.f64 R phi2) 3/2) -1)
(/.f64 (.f64 (.f64 R phi2) -3) 2)
(/.f64 (.f64 2 (.f64 (*.f64 R phi2) -3)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 R phi2) -3)) (.f64 2 (.f64 (.f64 R phi2) -3))) 8)
(pow.f64 (.f64 R (.f64 phi2 -3/2)) 1)
(neg.f64 (.f64 (.f64 R phi2) 3/2))
(+.f64 (.f64 R (.f64 phi2 -3/2)) (-.f64 (neg.f64 (.f64 (.f64 R phi2) -3)) (+.f64 (.f64 R (+.f64 phi1 phi2)) (/.f64 (.f64 R phi2) -2))))
(+.f64 (.f64 (.f64 R phi2) 1/2) (neg.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2)))))
(+.f64 (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) 0)
(+.f64 0 (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))))
(+.f64 (-.f64 (.f64 (.f64 R phi2) 1/2) (.f64 R (+.f64 phi1 phi2))) (.f64 (*.f64 R phi2) 3/2))
(+.f64 (.f64 (.f64 R phi2) 3/2) (-.f64 (.f64 (.f64 R phi2) 1/2) (*.f64 R (+.f64 phi1 phi2))))
(+.f64 (.f64 (+.f64 phi1 phi2) (neg.f64 R)) (.f64 R (+.f64 phi2 phi2)))
(+.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 (+.f64 phi1 phi2) (neg.f64 R)))
(+.f64 (+.f64 (.f64 R (+.f64 phi1 phi2)) (/.f64 (.f64 R phi2) -2)) (-.f64 (.f64 R (-.f64 phi2 (.f64 (+.f64 phi1 phi2) 2))) (.f64 R (.f64 phi2 -3/2))))
(+.f64 (neg.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2)))) (.f64 (.f64 R phi2) 1/2))
(+.f64 (neg.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2)))) (neg.f64 (/.f64 (*.f64 R phi2) -2)))
(+.f64 (/.f64 (.f64 R phi2) 4) (-.f64 (/.f64 (.f64 R phi2) 4) (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2)))))
(+.f64 (/.f64 (.f64 R phi2) -2) (-.f64 (.f64 R phi2) (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2)))))
(+.f64 (-.f64 (.f64 R phi2) (/.f64 (.f64 R (+.f64 phi1 phi2)) 2)) (-.f64 (.f64 R phi2) (/.f64 (.f64 R (+.f64 phi1 phi2)) 2)))
(+.f64 (-.f64 (/.f64 (.f64 R phi2) 4) (.f64 R (.f64 phi2 -3/2))) (-.f64 (/.f64 (.f64 R phi2) 4) (*.f64 R (+.f64 phi1 phi2))))
(+.f64 (-.f64 (/.f64 (.f64 R phi2) 4) (.f64 R (+.f64 phi1 phi2))) (-.f64 (/.f64 (.f64 R phi2) 4) (.f64 R (*.f64 phi2 -3/2))))
(+.f64 (-.f64 (/.f64 (.f64 R phi2) 4) (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2)))) (/.f64 (.f64 R phi2) 4))
(+.f64 (-.f64 (/.f64 (.f64 R phi2) 4) (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2)))) (neg.f64 (/.f64 (.f64 R phi2) -4)))
(+.f64 (neg.f64 (/.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2))) 2)) (-.f64 (.f64 (.f64 R phi2) 1/2) (/.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2))) 2)))
(+.f64 (-.f64 (.f64 R phi2) (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2)))) (/.f64 (.f64 R phi2) -2))
(+.f64 (neg.f64 (/.f64 (.f64 R (+.f64 phi1 phi2)) 2)) (-.f64 (.f64 R (+.f64 phi2 phi2)) (/.f64 (*.f64 R (+.f64 phi1 phi2)) 2)))
(+.f64 (neg.f64 (/.f64 (.f64 R (.f64 phi2 -3/2)) 2)) (-.f64 (-.f64 (.f64 (.f64 R phi2) 1/2) (.f64 R (+.f64 phi1 phi2))) (/.f64 (.f64 R (*.f64 phi2 -3/2)) 2)))
(+.f64 (-.f64 (.f64 (.f64 R phi2) 1/2) (/.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2))) 2)) (neg.f64 (/.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2))) 2)))
(+.f64 (neg.f64 (/.f64 (.f64 R phi2) -2)) (neg.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))))
(+.f64 (neg.f64 (/.f64 (.f64 R phi2) -4)) (-.f64 (/.f64 (.f64 R phi2) 4) (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2)))))
(+.f64 (-.f64 (-.f64 (.f64 (.f64 R phi2) 1/2) (.f64 R (+.f64 phi1 phi2))) (/.f64 (.f64 R (.f64 phi2 -3/2)) 2)) (neg.f64 (/.f64 (.f64 R (*.f64 phi2 -3/2)) 2)))
(+.f64 (-.f64 (.f64 R (-.f64 phi2 (.f64 (+.f64 phi1 phi2) 2))) (.f64 R (.f64 phi2 -3/2))) (+.f64 (.f64 R (+.f64 phi1 phi2)) (/.f64 (.f64 R phi2) -2)))
(+.f64 (-.f64 (neg.f64 (.f64 (.f64 R phi2) -3)) (+.f64 (.f64 R (+.f64 phi1 phi2)) (/.f64 (.f64 R phi2) -2))) (.f64 R (.f64 phi2 -3/2)))
(+.f64 (/.f64 (.f64 (+.f64 phi1 phi2) (neg.f64 R)) 2) (/.f64 (+.f64 (.f64 (+.f64 phi1 phi2) (neg.f64 R)) (.f64 (.f64 R phi2) 4)) 2))
(+.f64 (/.f64 (-.f64 (.f64 (.f64 R phi2) 1/2) (.f64 R (+.f64 phi1 phi2))) 2) (/.f64 (+.f64 (.f64 R (+.f64 phi2 phi2)) (neg.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2))))) 2))
(+.f64 (/.f64 (+.f64 (.f64 R (+.f64 phi2 phi2)) (neg.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2))))) 2) (/.f64 (-.f64 (.f64 (.f64 R phi2) 1/2) (.f64 R (+.f64 phi1 phi2))) 2))
(+.f64 (/.f64 (.f64 (.f64 R phi2) 3/2) 2) (/.f64 (+.f64 (.f64 (.f64 R phi2) 3/2) (.f64 R (-.f64 phi2 (.f64 (+.f64 phi1 phi2) 2)))) 2))
(+.f64 (/.f64 (+.f64 (.f64 (.f64 R phi2) 3/2) (.f64 R (-.f64 phi2 (.f64 (+.f64 phi1 phi2) 2)))) 2) (/.f64 (.f64 (.f64 R phi2) 3/2) 2))
(+.f64 (/.f64 (+.f64 (.f64 (+.f64 phi1 phi2) (neg.f64 R)) (.f64 (.f64 R phi2) 4)) 2) (/.f64 (.f64 (+.f64 phi1 phi2) (neg.f64 R)) 2))
(+.f64 (/.f64 (neg.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2)))) 2) (/.f64 (+.f64 (.f64 R phi2) (neg.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2))))) 2))
(+.f64 (/.f64 (+.f64 (.f64 R phi2) (neg.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2))))) 2) (/.f64 (neg.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (*.f64 phi2 -3/2)))) 2))
(+.f64 (-.f64 (.f64 R (+.f64 phi2 phi2)) (/.f64 (.f64 R (+.f64 phi1 phi2)) 2)) (neg.f64 (/.f64 (*.f64 R (+.f64 phi1 phi2)) 2)))
(+.f64 (-.f64 -1 (.f64 R (+.f64 phi1 phi2))) (-.f64 1 (.f64 (*.f64 R phi2) -2)))
(+.f64 (-.f64 1 (.f64 R (.f64 phi2 -3/2))) (-.f64 -1 (+.f64 (.f64 R (+.f64 phi1 phi2)) (/.f64 (.f64 R phi2) -2))))
(+.f64 (-.f64 -1 (.f64 R (.f64 phi2 -3/2))) (-.f64 1 (+.f64 (.f64 R (+.f64 phi1 phi2)) (/.f64 (.f64 R phi2) -2))))
(+.f64 (-.f64 1 (.f64 R (+.f64 phi1 phi2))) (-.f64 -1 (.f64 (*.f64 R phi2) -2)))
(+.f64 (-.f64 -1 (+.f64 (.f64 R (+.f64 phi1 phi2)) (/.f64 (.f64 R phi2) -2))) (-.f64 1 (.f64 R (.f64 phi2 -3/2))))
(+.f64 (-.f64 1 (+.f64 (.f64 R (+.f64 phi1 phi2)) (/.f64 (.f64 R phi2) -2))) (-.f64 -1 (.f64 R (.f64 phi2 -3/2))))
(+.f64 (-.f64 1 (.f64 (.f64 R phi2) -2)) (-.f64 -1 (*.f64 R (+.f64 phi1 phi2))))
(+.f64 (-.f64 -1 (.f64 (.f64 R phi2) -2)) (-.f64 1 (*.f64 R (+.f64 phi1 phi2))))
(.f64 (-.f64 (.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 phi1 phi2))) 1)
(.f64 1 (-.f64 (.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 phi1 phi2))))
(.f64 -1 (+.f64 (.f64 R (+.f64 phi1 phi2)) (.f64 (.f64 R phi2) -2)))
(.f64 (+.f64 (.f64 R (+.f64 phi1 phi2)) (.f64 (.f64 R phi2) -2)) -1)
(.f64 (.f64 2 (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2)))) 1/2)
(.f64 1/2 (.f64 2 (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2)))))
(.f64 1/4 (.f64 2 (.f64 2 (-.f64 (.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 phi1 phi2))))))
(.f64 (.f64 2 (.f64 2 (-.f64 (.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 phi1 phi2))))) 1/4)
(/.f64 (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) 1)
(/.f64 (+.f64 (.f64 R (+.f64 phi1 phi2)) (.f64 (*.f64 R phi2) -2)) -1)
(/.f64 (.f64 2 (-.f64 (.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 phi1 phi2)))) 2)
(/.f64 (.f64 2 (.f64 2 (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))))) 4)
(/.f64 (+.f64 (.f64 R (-.f64 phi2 (.f64 (+.f64 phi1 phi2) 2))) (neg.f64 (.f64 (.f64 R phi2) -3))) 2)
(/.f64 (+.f64 (.f64 (.f64 R phi2) 4) (.f64 (.f64 R (+.f64 phi1 phi2)) -2)) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))))) (.f64 2 (.f64 2 (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2)))))) 8)
(/.f64 (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 2 (.f64 (+.f64 R R) (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2))))) 4)
(/.f64 (-.f64 (.f64 R (-.f64 phi2 (.f64 (+.f64 phi1 phi2) 2))) (.f64 (.f64 R phi2) -3)) 2)
(/.f64 (-.f64 (neg.f64 (.f64 (.f64 R phi2) -3)) (neg.f64 (.f64 R (-.f64 phi2 (.f64 (+.f64 phi1 phi2) 2))))) 2)
(/.f64 (-.f64 (.f64 (.f64 R (+.f64 phi1 phi2)) -2) (neg.f64 (.f64 (.f64 R phi2) 4))) 2)
(/.f64 (-.f64 (.f64 (.f64 R phi2) 4) (*.f64 (+.f64 phi1 phi2) (+.f64 R R))) 2)
(pow.f64 (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) 1)
(neg.f64 (+.f64 (.f64 R (+.f64 phi1 phi2)) (.f64 (*.f64 R phi2) -2)))

Outputs
(.f64 (+.f64 (.f64 -3/2 phi2) (+.f64 phi1 phi2)) R)
(.f64 R (+.f64 phi2 (+.f64 phi1 (.f64 -3/2 phi2))))
(.f64 R (+.f64 phi2 (+.f64 (.f64 -3/2 phi2) phi1)))
(.f64 R (+.f64 phi1 (.f64 phi2 -1/2)))
(.f64 (+.f64 (.f64 -3/2 phi2) (+.f64 phi1 phi2)) R)
(.f64 R (+.f64 phi2 (+.f64 phi1 (.f64 -3/2 phi2))))
(.f64 R (+.f64 phi2 (+.f64 (.f64 -3/2 phi2) phi1)))
(.f64 R (+.f64 phi1 (.f64 phi2 -1/2)))
(.f64 (+.f64 (.f64 -3/2 phi2) (+.f64 phi1 phi2)) R)
(.f64 R (+.f64 phi2 (+.f64 phi1 (.f64 -3/2 phi2))))
(.f64 R (+.f64 phi2 (+.f64 (.f64 -3/2 phi2) phi1)))
(.f64 R (+.f64 phi1 (.f64 phi2 -1/2)))
(.f64 (+.f64 (.f64 -3/2 phi2) (+.f64 phi1 phi2)) R)
(.f64 R (+.f64 phi2 (+.f64 phi1 (.f64 -3/2 phi2))))
(.f64 R (+.f64 phi2 (+.f64 (.f64 -3/2 phi2) phi1)))
(.f64 R (+.f64 phi1 (.f64 phi2 -1/2)))
(.f64 (+.f64 (.f64 -3/2 phi2) (+.f64 phi1 phi2)) R)
(.f64 R (+.f64 phi2 (+.f64 phi1 (.f64 -3/2 phi2))))
(.f64 R (+.f64 phi2 (+.f64 (.f64 -3/2 phi2) phi1)))
(.f64 R (+.f64 phi1 (.f64 phi2 -1/2)))
(.f64 (+.f64 (.f64 -3/2 phi2) (+.f64 phi1 phi2)) R)
(.f64 R (+.f64 phi2 (+.f64 phi1 (.f64 -3/2 phi2))))
(.f64 R (+.f64 phi2 (+.f64 (.f64 -3/2 phi2) phi1)))
(.f64 R (+.f64 phi1 (.f64 phi2 -1/2)))
(.f64 (+.f64 (.f64 -3/2 phi2) (+.f64 phi1 phi2)) R)
(.f64 R (+.f64 phi2 (+.f64 phi1 (.f64 -3/2 phi2))))
(.f64 R (+.f64 phi2 (+.f64 (.f64 -3/2 phi2) phi1)))
(.f64 R (+.f64 phi1 (.f64 phi2 -1/2)))
(.f64 (+.f64 (.f64 -3/2 phi2) (+.f64 phi1 phi2)) R)
(.f64 R (+.f64 phi2 (+.f64 phi1 (.f64 -3/2 phi2))))
(.f64 R (+.f64 phi2 (+.f64 (.f64 -3/2 phi2) phi1)))
(.f64 R (+.f64 phi1 (.f64 phi2 -1/2)))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 phi1 phi2)) (.f64 3/2 phi2)) R))
(.f64 R (+.f64 phi2 (+.f64 phi1 (.f64 -3/2 phi2))))
(.f64 R (+.f64 phi2 (+.f64 (.f64 -3/2 phi2) phi1)))
(.f64 R (+.f64 phi1 (.f64 phi2 -1/2)))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 phi1 phi2)) (.f64 3/2 phi2)) R))
(.f64 R (+.f64 phi2 (+.f64 phi1 (.f64 -3/2 phi2))))
(.f64 R (+.f64 phi2 (+.f64 (.f64 -3/2 phi2) phi1)))
(.f64 R (+.f64 phi1 (.f64 phi2 -1/2)))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 phi1 phi2)) (.f64 3/2 phi2)) R))
(.f64 R (+.f64 phi2 (+.f64 phi1 (.f64 -3/2 phi2))))
(.f64 R (+.f64 phi2 (+.f64 (.f64 -3/2 phi2) phi1)))
(.f64 R (+.f64 phi1 (.f64 phi2 -1/2)))
(.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 phi1 phi2)) (.f64 3/2 phi2)) R))
(.f64 R (+.f64 phi2 (+.f64 phi1 (.f64 -3/2 phi2))))
(.f64 R (+.f64 phi2 (+.f64 (.f64 -3/2 phi2) phi1)))
(.f64 R (+.f64 phi1 (.f64 phi2 -1/2)))
(+.f64 (.f64 R phi2) (.f64 -3/2 (*.f64 R phi2)))
(+.f64 (.f64 phi2 R) (.f64 -3/2 (*.f64 phi2 R)))
(.f64 R (+.f64 phi2 (.f64 -3/2 phi2)))
(.f64 phi2 (.f64 R -1/2))
(+.f64 (.f64 R phi2) (+.f64 (.f64 phi1 R) (.f64 -3/2 (.f64 R phi2))))
(.f64 R (+.f64 phi2 (+.f64 phi1 (.f64 -3/2 phi2))))
(.f64 R (+.f64 phi2 (+.f64 (.f64 -3/2 phi2) phi1)))
(.f64 R (+.f64 phi1 (.f64 phi2 -1/2)))
(+.f64 (.f64 R phi2) (+.f64 (.f64 phi1 R) (.f64 -3/2 (.f64 R phi2))))
(.f64 R (+.f64 phi2 (+.f64 phi1 (.f64 -3/2 phi2))))
(.f64 R (+.f64 phi2 (+.f64 (.f64 -3/2 phi2) phi1)))
(.f64 R (+.f64 phi1 (.f64 phi2 -1/2)))
(+.f64 (.f64 R phi2) (+.f64 (.f64 phi1 R) (.f64 -3/2 (.f64 R phi2))))
(.f64 R (+.f64 phi2 (+.f64 phi1 (.f64 -3/2 phi2))))
(.f64 R (+.f64 phi2 (+.f64 (.f64 -3/2 phi2) phi1)))
(.f64 R (+.f64 phi1 (.f64 phi2 -1/2)))
(*.f64 phi1 R)
(+.f64 (.f64 R phi2) (+.f64 (.f64 -3/2 (.f64 R phi2)) (.f64 phi1 R)))
(.f64 R (+.f64 phi2 (+.f64 phi1 (.f64 -3/2 phi2))))
(.f64 R (+.f64 phi2 (+.f64 (.f64 -3/2 phi2) phi1)))
(.f64 R (+.f64 phi1 (.f64 phi2 -1/2)))
(+.f64 (.f64 R phi2) (+.f64 (.f64 -3/2 (.f64 R phi2)) (.f64 phi1 R)))
(.f64 R (+.f64 phi2 (+.f64 phi1 (.f64 -3/2 phi2))))
(.f64 R (+.f64 phi2 (+.f64 (.f64 -3/2 phi2) phi1)))
(.f64 R (+.f64 phi1 (.f64 phi2 -1/2)))
(+.f64 (.f64 R phi2) (+.f64 (.f64 -3/2 (.f64 R phi2)) (.f64 phi1 R)))
(.f64 R (+.f64 phi2 (+.f64 phi1 (.f64 -3/2 phi2))))
(.f64 R (+.f64 phi2 (+.f64 (.f64 -3/2 phi2) phi1)))
(.f64 R (+.f64 phi1 (.f64 phi2 -1/2)))
(*.f64 phi1 R)
(+.f64 (.f64 R phi2) (+.f64 (.f64 -3/2 (.f64 R phi2)) (.f64 phi1 R)))
(.f64 R (+.f64 phi2 (+.f64 phi1 (.f64 -3/2 phi2))))
(.f64 R (+.f64 phi2 (+.f64 (.f64 -3/2 phi2) phi1)))
(.f64 R (+.f64 phi1 (.f64 phi2 -1/2)))
(+.f64 (.f64 R phi2) (+.f64 (.f64 -3/2 (.f64 R phi2)) (.f64 phi1 R)))
(.f64 R (+.f64 phi2 (+.f64 phi1 (.f64 -3/2 phi2))))
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(.f64 R (-.f64 (.f64 phi2 1/2) (+.f64 phi2 (+.f64 (*.f64 -3/2 phi2) phi1))))
(.f64 R (+.f64 (neg.f64 (+.f64 phi2 phi1)) (.f64 phi2 2)))
(*.f64 R (-.f64 phi2 phi1))
(/.f64 (+.f64 (.f64 R (+.f64 phi1 phi2)) (.f64 (*.f64 R phi2) -2)) -1)
(.f64 R (-.f64 (.f64 phi2 1/2) (+.f64 phi2 (+.f64 (*.f64 -3/2 phi2) phi1))))
(.f64 R (+.f64 (neg.f64 (+.f64 phi2 phi1)) (.f64 phi2 2)))
(*.f64 R (-.f64 phi2 phi1))
(/.f64 (.f64 2 (-.f64 (.f64 R (+.f64 phi2 phi2)) (*.f64 R (+.f64 phi1 phi2)))) 2)
(.f64 R (-.f64 (.f64 phi2 1/2) (+.f64 phi2 (+.f64 (*.f64 -3/2 phi2) phi1))))
(.f64 R (+.f64 (neg.f64 (+.f64 phi2 phi1)) (.f64 phi2 2)))
(*.f64 R (-.f64 phi2 phi1))
(/.f64 (.f64 2 (.f64 2 (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))))) 4)
(.f64 R (-.f64 (.f64 phi2 1/2) (+.f64 phi2 (+.f64 (*.f64 -3/2 phi2) phi1))))
(.f64 R (+.f64 (neg.f64 (+.f64 phi2 phi1)) (.f64 phi2 2)))
(*.f64 R (-.f64 phi2 phi1))
(/.f64 (+.f64 (.f64 R (-.f64 phi2 (.f64 (+.f64 phi1 phi2) 2))) (neg.f64 (.f64 (.f64 R phi2) -3))) 2)
(/.f64 (+.f64 (+.f64 (.f64 3/2 (.f64 phi2 R)) (.f64 R (-.f64 phi2 (.f64 (+.f64 phi2 phi1) 2)))) (.f64 3/2 (.f64 phi2 R))) 2)
(/.f64 (+.f64 (.f64 R (-.f64 phi2 (.f64 (+.f64 phi2 phi1) 2))) (.f64 (.f64 phi2 R) 3)) 2)
(/.f64 (.f64 R (-.f64 (-.f64 phi2 (.f64 (+.f64 phi2 phi1) 2)) (*.f64 phi2 -3))) 2)
(/.f64 (+.f64 (.f64 (.f64 R phi2) 4) (.f64 (.f64 R (+.f64 phi1 phi2)) -2)) 2)
(.f64 R (-.f64 (.f64 phi2 1/2) (+.f64 phi2 (+.f64 (*.f64 -3/2 phi2) phi1))))
(.f64 R (+.f64 (neg.f64 (+.f64 phi2 phi1)) (.f64 phi2 2)))
(*.f64 R (-.f64 phi2 phi1))
(/.f64 (+.f64 (.f64 2 (.f64 2 (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))))) (.f64 2 (.f64 2 (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2)))))) 8)
(.f64 R (-.f64 (.f64 phi2 1/2) (+.f64 phi2 (+.f64 (*.f64 -3/2 phi2) phi1))))
(.f64 R (+.f64 (neg.f64 (+.f64 phi2 phi1)) (.f64 phi2 2)))
(*.f64 R (-.f64 phi2 phi1))
(/.f64 (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 2 (.f64 (+.f64 R R) (+.f64 (+.f64 phi1 phi2) (.f64 phi2 -3/2))))) 4)
(.f64 R (-.f64 (.f64 phi2 1/2) (+.f64 phi2 (+.f64 (*.f64 -3/2 phi2) phi1))))
(.f64 R (+.f64 (neg.f64 (+.f64 phi2 phi1)) (.f64 phi2 2)))
(*.f64 R (-.f64 phi2 phi1))
(/.f64 (-.f64 (.f64 R (-.f64 phi2 (.f64 (+.f64 phi1 phi2) 2))) (.f64 (.f64 R phi2) -3)) 2)
(/.f64 (+.f64 (+.f64 (.f64 3/2 (.f64 phi2 R)) (.f64 R (-.f64 phi2 (.f64 (+.f64 phi2 phi1) 2)))) (.f64 3/2 (.f64 phi2 R))) 2)
(/.f64 (+.f64 (.f64 R (-.f64 phi2 (.f64 (+.f64 phi2 phi1) 2))) (.f64 (.f64 phi2 R) 3)) 2)
(/.f64 (.f64 R (-.f64 (-.f64 phi2 (.f64 (+.f64 phi2 phi1) 2)) (*.f64 phi2 -3))) 2)
(/.f64 (-.f64 (neg.f64 (.f64 (.f64 R phi2) -3)) (neg.f64 (.f64 R (-.f64 phi2 (.f64 (+.f64 phi1 phi2) 2))))) 2)
(/.f64 (+.f64 (+.f64 (.f64 3/2 (.f64 phi2 R)) (.f64 R (-.f64 phi2 (.f64 (+.f64 phi2 phi1) 2)))) (.f64 3/2 (.f64 phi2 R))) 2)
(/.f64 (+.f64 (.f64 R (-.f64 phi2 (.f64 (+.f64 phi2 phi1) 2))) (.f64 (.f64 phi2 R) 3)) 2)
(/.f64 (.f64 R (-.f64 (-.f64 phi2 (.f64 (+.f64 phi2 phi1) 2)) (*.f64 phi2 -3))) 2)
(/.f64 (-.f64 (.f64 (.f64 R (+.f64 phi1 phi2)) -2) (neg.f64 (.f64 (.f64 R phi2) 4))) 2)
(.f64 R (-.f64 (.f64 phi2 1/2) (+.f64 phi2 (+.f64 (*.f64 -3/2 phi2) phi1))))
(.f64 R (+.f64 (neg.f64 (+.f64 phi2 phi1)) (.f64 phi2 2)))
(*.f64 R (-.f64 phi2 phi1))
(/.f64 (-.f64 (.f64 (.f64 R phi2) 4) (*.f64 (+.f64 phi1 phi2) (+.f64 R R))) 2)
(.f64 R (-.f64 (.f64 phi2 1/2) (+.f64 phi2 (+.f64 (*.f64 -3/2 phi2) phi1))))
(.f64 R (+.f64 (neg.f64 (+.f64 phi2 phi1)) (.f64 phi2 2)))
(*.f64 R (-.f64 phi2 phi1))
(pow.f64 (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) 1)
(.f64 R (-.f64 (.f64 phi2 1/2) (+.f64 phi2 (+.f64 (*.f64 -3/2 phi2) phi1))))
(.f64 R (+.f64 (neg.f64 (+.f64 phi2 phi1)) (.f64 phi2 2)))
(*.f64 R (-.f64 phi2 phi1))
(neg.f64 (+.f64 (.f64 R (+.f64 phi1 phi2)) (.f64 (*.f64 R phi2) -2)))
(.f64 R (-.f64 (.f64 phi2 1/2) (+.f64 phi2 (+.f64 (*.f64 -3/2 phi2) phi1))))
(.f64 R (+.f64 (neg.f64 (+.f64 phi2 phi1)) (.f64 phi2 2)))
(*.f64 R (-.f64 phi2 phi1))

localize47.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
	0.1b	(.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
	2.6b	(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))

Compiler

Compiled 42 to 21 computations (50% saved)

series2.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite194.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`rational_best-simplify-63`
774×	`rational_best-2`
774×	`rational_best-3`
774×	`rational_best-1`
772×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	86	29
2	167	29
3	477	29
4	1825	29

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 2) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 4) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 4) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 4) (/.f64 (/.f64 (*.f64 R (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 3))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 4) (/.f64 (*.f64 R (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 2) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 2) (/.f64 (*.f64 -2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 R (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 3))) 2) 2) (/.f64 (/.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 R (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 lambda2 3))) 4) (/.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 lambda2 (*.f64 R (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R (*.f64 lambda2 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 R (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 2 (*.f64 lambda2 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 R 4) (*.f64 lambda2 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 4) (*.f64 R (*.f64 lambda2 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 R (+.f64 lambda2 lambda2)) (+.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) -2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 lambda2 4) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (*.f64 R lambda2)) 1)))))

simplify171.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1162×	`rational_best-simplify-47`
1126×	`rational_best-simplify-1`
1032×	`rational_best-simplify-63`
796×	`rational_best-simplify-48`
662×	`rational_best-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	2522
1	355	2506
2	880	2434
3	2329	2386

Stop Event

1×	node limit

Counts

68 → 62

Calls

Call 1

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

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

localize86.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))
✓	0.1b	(.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)
✓	1.4b	(.f64 (sin.f64 (.f64 1/2 phi1)) (*.f64 phi2 lambda1))
✓	2.0b	(.f64 R (-.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)))

Compiler

Compiled 84 to 52 computations (38.1% saved)

series50.0ms (0%)

Counts

4 → 124

Calls

36 calls:

Time	Variable		Point	Expression
6.0ms	phi1	@	inf	(.f64 R (-.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)))
6.0ms	phi1	@	-inf	(.f64 R (-.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)))
6.0ms	lambda1	@	-inf	(.f64 R (-.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)))
4.0ms	lambda1	@	0	(.f64 R (-.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)))
4.0ms	R	@	0	(.f64 R (-.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)))

rewrite376.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1226×	`rational_best-4`
1226×	`rational_best-2`
1226×	`rational_best-3`
1226×	`rational_best-1`
1226×	`exponential-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	148
1	120	148
2	262	148
3	763	144
4	3026	136

Stop Event

1×	node limit

Counts

4 → 99

Calls

Call 1

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

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

simplify572.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1274×	`rational_best-simplify-62`
1130×	`rational_best-simplify-1`
930×	`rational_best-simplify-80`
766×	`rational_best-simplify-63`
520×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	324	10511
1	830	10029
2	2139	9459
3	6330	9433

Stop Event

1×	node limit

Counts

223 → 241

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 -1 (.f64 R lambda1))
(*.f64 lambda1 (neg.f64 R))
(*.f64 R (neg.f64 lambda1))
(+.f64 (.f64 -1 (.f64 R lambda1)) (.f64 1/4 (.f64 phi1 (.f64 R (.f64 phi2 lambda1)))))
(+.f64 (.f64 lambda1 (neg.f64 R)) (.f64 1/4 (.f64 phi1 (.f64 R (*.f64 phi2 lambda1)))))
(+.f64 (.f64 lambda1 (neg.f64 R)) (.f64 phi1 (.f64 (.f64 phi2 (*.f64 lambda1 R)) 1/4)))
(+.f64 (.f64 R (neg.f64 lambda1)) (.f64 1/4 (.f64 R (.f64 phi2 (*.f64 phi1 lambda1)))))
(-.f64 (.f64 1/4 (.f64 R (.f64 phi2 (.f64 phi1 lambda1)))) (*.f64 lambda1 R))
(+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 R lambda1))) (+.f64 (.f64 -1 (.f64 R lambda1)) (.f64 1/4 (.f64 phi1 (.f64 R (*.f64 phi2 lambda1))))))
(+.f64 (.f64 1/4 (.f64 phi1 (.f64 R (.f64 phi2 lambda1)))) (+.f64 (.f64 lambda1 (neg.f64 R)) (.f64 1/8 (.f64 (.f64 lambda1 R) (pow.f64 phi1 2)))))
(+.f64 (.f64 lambda1 (neg.f64 R)) (+.f64 (.f64 phi1 (.f64 (.f64 phi2 (.f64 lambda1 R)) 1/4)) (.f64 (.f64 lambda1 R) (.f64 1/8 (pow.f64 phi1 2)))))
(+.f64 (.f64 1/4 (.f64 R (.f64 phi2 (.f64 phi1 lambda1)))) (.f64 (.f64 lambda1 R) (+.f64 -1 (*.f64 1/8 (pow.f64 phi1 2)))))
(+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) (.f64 R lambda1))) (+.f64 (.f64 -1 (.f64 R lambda1)) (+.f64 (.f64 -1/96 (.f64 (pow.f64 phi1 3) (.f64 R (.f64 phi2 lambda1)))) (.f64 1/4 (.f64 phi1 (.f64 R (*.f64 phi2 lambda1)))))))
(+.f64 (.f64 1/8 (.f64 (.f64 lambda1 R) (pow.f64 phi1 2))) (+.f64 (.f64 1/4 (.f64 phi1 (.f64 R (.f64 phi2 lambda1)))) (+.f64 (.f64 (.f64 R (.f64 phi2 lambda1)) (.f64 (pow.f64 phi1 3) -1/96)) (.f64 lambda1 (neg.f64 R)))))
(+.f64 (+.f64 (.f64 lambda1 (neg.f64 R)) (.f64 (.f64 phi2 (.f64 lambda1 R)) (.f64 -1/96 (pow.f64 phi1 3)))) (+.f64 (.f64 phi1 (.f64 (.f64 phi2 (.f64 lambda1 R)) 1/4)) (.f64 (.f64 lambda1 R) (.f64 1/8 (pow.f64 phi1 2)))))
(+.f64 (.f64 (.f64 phi2 (.f64 lambda1 R)) (+.f64 (.f64 phi1 1/4) (.f64 -1/96 (pow.f64 phi1 3)))) (.f64 (.f64 lambda1 R) (+.f64 -1 (.f64 1/8 (pow.f64 phi1 2)))))
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)) R)
(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
(.f64 (-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1)))) R)
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(+.f64 (.f64 -1/48 (.f64 (pow.f64 phi1 3) (.f64 phi2 lambda1))) (+.f64 (.f64 1/3840 (.f64 (pow.f64 phi1 5) (.f64 phi2 lambda1))) (+.f64 (.f64 1/2 (.f64 phi1 (.f64 phi2 lambda1))) (.f64 -1/645120 (.f64 (pow.f64 phi1 7) (.f64 phi2 lambda1))))))
(+.f64 (.f64 (.f64 phi2 lambda1) (.f64 (pow.f64 phi1 3) -1/48)) (+.f64 (.f64 (.f64 phi2 lambda1) (.f64 (pow.f64 phi1 5) 1/3840)) (+.f64 (.f64 1/2 (.f64 phi1 (.f64 phi2 lambda1))) (.f64 -1/645120 (.f64 lambda1 (.f64 phi2 (pow.f64 phi1 7)))))))
(+.f64 (.f64 (.f64 phi2 lambda1) (.f64 (pow.f64 phi1 3) -1/48)) (+.f64 (.f64 1/2 (.f64 phi2 (.f64 lambda1 phi1))) (+.f64 (.f64 (.f64 phi2 (pow.f64 phi1 7)) (.f64 lambda1 -1/645120)) (.f64 (.f64 phi2 (pow.f64 phi1 5)) (.f64 lambda1 1/3840)))))
(+.f64 (.f64 (.f64 phi2 lambda1) (+.f64 (.f64 1/2 phi1) (.f64 1/3840 (pow.f64 phi1 5)))) (.f64 (.f64 phi2 lambda1) (+.f64 (.f64 -1/645120 (pow.f64 phi1 7)) (.f64 (pow.f64 phi1 3) -1/48))))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1))
lambda1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) lambda1)) lambda1)
(+.f64 lambda1 (.f64 lambda1 (.f64 (pow.f64 phi1 2) -1/8)))
(+.f64 lambda1 (.f64 (pow.f64 phi1 2) (.f64 lambda1 -1/8)))
(+.f64 (.f64 1/384 (.f64 (pow.f64 phi1 4) lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) lambda1)) lambda1))
(+.f64 lambda1 (+.f64 (.f64 lambda1 (.f64 (pow.f64 phi1 2) -1/8)) (.f64 lambda1 (.f64 (pow.f64 phi1 4) 1/384))))
(+.f64 (.f64 (pow.f64 phi1 2) (.f64 lambda1 -1/8)) (+.f64 lambda1 (.f64 lambda1 (.f64 1/384 (pow.f64 phi1 4)))))
(+.f64 lambda1 (.f64 lambda1 (+.f64 (.f64 (pow.f64 phi1 2) -1/8) (*.f64 1/384 (pow.f64 phi1 4)))))
(+.f64 (.f64 1/384 (.f64 (pow.f64 phi1 4) lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) lambda1)) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 phi1 6) lambda1)) lambda1)))
(+.f64 (.f64 lambda1 (.f64 (pow.f64 phi1 4) 1/384)) (+.f64 (.f64 lambda1 (.f64 (pow.f64 phi1 2) -1/8)) (+.f64 lambda1 (.f64 -1/46080 (.f64 lambda1 (pow.f64 phi1 6))))))
(+.f64 (.f64 lambda1 (.f64 1/384 (pow.f64 phi1 4))) (+.f64 lambda1 (+.f64 (.f64 (pow.f64 phi1 2) (.f64 lambda1 -1/8)) (.f64 lambda1 (.f64 -1/46080 (pow.f64 phi1 6))))))
(+.f64 lambda1 (+.f64 (.f64 lambda1 (.f64 -1/46080 (pow.f64 phi1 6))) (.f64 lambda1 (+.f64 (.f64 (pow.f64 phi1 2) -1/8) (*.f64 1/384 (pow.f64 phi1 4))))))
(*.f64 -1 lambda1)
(*.f64 lambda1 -1)
(neg.f64 lambda1)
(+.f64 (.f64 -1 lambda1) (.f64 1/4 (.f64 phi1 (.f64 phi2 lambda1))))
(+.f64 (.f64 lambda1 -1) (.f64 1/4 (.f64 phi1 (.f64 phi2 lambda1))))
(+.f64 (neg.f64 lambda1) (.f64 (.f64 phi2 lambda1) (*.f64 phi1 1/4)))
(+.f64 (neg.f64 lambda1) (.f64 (.f64 phi2 phi1) (*.f64 lambda1 1/4)))
(-.f64 (.f64 1/4 (.f64 phi2 (*.f64 phi1 lambda1))) lambda1)
(+.f64 (.f64 -1 lambda1) (+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) lambda1)) (.f64 1/4 (.f64 phi1 (.f64 phi2 lambda1)))))
(+.f64 (.f64 lambda1 -1) (+.f64 (.f64 1/4 (.f64 phi1 (.f64 phi2 lambda1))) (.f64 lambda1 (.f64 (pow.f64 phi1 2) 1/8))))
(+.f64 (neg.f64 lambda1) (+.f64 (.f64 (.f64 phi2 lambda1) (.f64 phi1 1/4)) (.f64 (pow.f64 phi1 2) (*.f64 lambda1 1/8))))
(+.f64 (.f64 (.f64 phi2 phi1) (.f64 lambda1 1/4)) (.f64 lambda1 (+.f64 -1 (*.f64 1/8 (pow.f64 phi1 2)))))
(+.f64 (.f64 1/4 (.f64 phi2 (.f64 phi1 lambda1))) (-.f64 (.f64 lambda1 (*.f64 1/8 (pow.f64 phi1 2))) lambda1))
(+.f64 (.f64 -1 lambda1) (+.f64 (.f64 1/8 (.f64 (pow.f64 phi1 2) lambda1)) (+.f64 (.f64 1/4 (.f64 phi1 (.f64 phi2 lambda1))) (.f64 -1/96 (.f64 (pow.f64 phi1 3) (*.f64 phi2 lambda1))))))
(+.f64 (.f64 lambda1 -1) (+.f64 (.f64 lambda1 (.f64 (pow.f64 phi1 2) 1/8)) (+.f64 (.f64 1/4 (.f64 phi1 (.f64 phi2 lambda1))) (.f64 (.f64 phi2 lambda1) (*.f64 (pow.f64 phi1 3) -1/96)))))
(+.f64 (neg.f64 lambda1) (+.f64 (.f64 (.f64 phi2 lambda1) (.f64 phi1 1/4)) (+.f64 (.f64 (pow.f64 phi1 2) (.f64 lambda1 1/8)) (.f64 (.f64 phi2 lambda1) (.f64 -1/96 (pow.f64 phi1 3))))))
(+.f64 (.f64 (.f64 phi2 lambda1) (+.f64 (.f64 phi1 1/4) (.f64 -1/96 (pow.f64 phi1 3)))) (.f64 lambda1 (+.f64 -1 (.f64 1/8 (pow.f64 phi1 2)))))
(+.f64 (.f64 (.f64 phi2 lambda1) (+.f64 (.f64 phi1 1/4) (.f64 -1/96 (pow.f64 phi1 3)))) (-.f64 (.f64 lambda1 (.f64 1/8 (pow.f64 phi1 2))) lambda1))
(-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))
(-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))
(-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))
(-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))
(-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))
(-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))
(-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))
(-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1))
(-.f64 (.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(.f64 -1 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 (.f64 lambda1 (cos.f64 (*.f64 1/2 phi1))) -1)
(.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 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(+.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 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(+.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 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1))
(.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2))
(+.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 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(+.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 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(+.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 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(.f64 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))
(.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1))
(.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2))
(+.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 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (.f64 1/2 phi2)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(+.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 1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 phi2 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
(-.f64 (.f64 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))) (.f64 1/2 lambda1)) (.f64 lambda1 (cos.f64 (.f64 1/2 phi1))))
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(.f64 lambda1 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1))))
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(.f64 (-.f64 (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (cos.f64 (*.f64 1/2 phi1))) lambda1)
(.f64 lambda1 (-.f64 (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))) (cos.f64 (*.f64 1/2 phi1))))
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(.f64 lambda1 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1))))
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(+.f64 (neg.f64 (neg.f64 (.f64 1/2 (.f64 (sin.f64 (/.f64 phi1 2)) (.f64 phi2 lambda1))))) (neg.f64 (.f64 lambda1 (cos.f64 (/.f64 phi1 2)))))
(+.f64 (.f64 (.f64 phi2 lambda1) (sin.f64 (/.f64 phi1 2))) (neg.f64 (+.f64 (.f64 (.f64 phi2 lambda1) (.f64 (sin.f64 (/.f64 phi1 2)) 1/2)) (.f64 lambda1 (cos.f64 (/.f64 phi1 2))))))
(+.f64 (neg.f64 (.f64 lambda1 (cos.f64 (/.f64 phi1 2)))) (.f64 (.f64 phi2 lambda1) (-.f64 (sin.f64 (/.f64 phi1 2)) (.f64 1/2 (sin.f64 (/.f64 phi1 2))))))
(-.f64 (.f64 1/2 (.f64 lambda1 (.f64 phi2 (sin.f64 (/.f64 phi1 2))))) (.f64 lambda1 (cos.f64 (/.f64 phi1 2))))
(+.f64 (/.f64 (neg.f64 (.f64 lambda1 (cos.f64 (/.f64 phi1 2)))) 2) (/.f64 (.f64 lambda1 (-.f64 (*.f64 (sin.f64 (/.f64 phi1 2)) phi2) (cos.f64 (/.f64 phi1 2)))) 2))
(+.f64 (.f64 (.f64 phi2 lambda1) (sin.f64 (/.f64 phi1 2))) (neg.f64 (+.f64 (.f64 (.f64 phi2 lambda1) (.f64 (sin.f64 (/.f64 phi1 2)) 1/2)) (.f64 lambda1 (cos.f64 (/.f64 phi1 2))))))
(+.f64 (neg.f64 (.f64 lambda1 (cos.f64 (/.f64 phi1 2)))) (.f64 (.f64 phi2 lambda1) (-.f64 (sin.f64 (/.f64 phi1 2)) (.f64 1/2 (sin.f64 (/.f64 phi1 2))))))
(-.f64 (.f64 1/2 (.f64 lambda1 (.f64 phi2 (sin.f64 (/.f64 phi1 2))))) (.f64 lambda1 (cos.f64 (/.f64 phi1 2))))
(+.f64 (/.f64 (.f64 lambda1 (-.f64 (.f64 (sin.f64 (/.f64 phi1 2)) phi2) (cos.f64 (/.f64 phi1 2)))) 2) (/.f64 (neg.f64 (*.f64 lambda1 (cos.f64 (/.f64 phi1 2)))) 2))
(+.f64 (.f64 (.f64 phi2 lambda1) (sin.f64 (/.f64 phi1 2))) (neg.f64 (+.f64 (.f64 (.f64 phi2 lambda1) (.f64 (sin.f64 (/.f64 phi1 2)) 1/2)) (.f64 lambda1 (cos.f64 (/.f64 phi1 2))))))
(+.f64 (neg.f64 (.f64 lambda1 (cos.f64 (/.f64 phi1 2)))) (.f64 (.f64 phi2 lambda1) (-.f64 (sin.f64 (/.f64 phi1 2)) (.f64 1/2 (sin.f64 (/.f64 phi1 2))))))
(-.f64 (.f64 1/2 (.f64 lambda1 (.f64 phi2 (sin.f64 (/.f64 phi1 2))))) (.f64 lambda1 (cos.f64 (/.f64 phi1 2))))
(+.f64 (-.f64 (/.f64 (.f64 (sin.f64 (/.f64 phi1 2)) (.f64 phi2 lambda1)) 4) (.f64 lambda1 (cos.f64 (/.f64 phi1 2)))) (/.f64 (.f64 (sin.f64 (/.f64 phi1 2)) (*.f64 phi2 lambda1)) 4))
(+.f64 (.f64 (.f64 phi2 lambda1) (sin.f64 (/.f64 phi1 2))) (neg.f64 (+.f64 (.f64 (.f64 phi2 lambda1) (.f64 (sin.f64 (/.f64 phi1 2)) 1/2)) (.f64 lambda1 (cos.f64 (/.f64 phi1 2))))))
(+.f64 (neg.f64 (.f64 lambda1 (cos.f64 (/.f64 phi1 2)))) (.f64 (.f64 phi2 lambda1) (-.f64 (sin.f64 (/.f64 phi1 2)) (.f64 1/2 (sin.f64 (/.f64 phi1 2))))))
(-.f64 (.f64 1/2 (.f64 lambda1 (.f64 phi2 (sin.f64 (/.f64 phi1 2))))) (.f64 lambda1 (cos.f64 (/.f64 phi1 2))))
(+.f64 (-.f64 (/.f64 (.f64 (sin.f64 (/.f64 phi1 2)) (.f64 phi2 lambda1)) 4) (.f64 lambda1 (cos.f64 (/.f64 phi1 2)))) (neg.f64 (neg.f64 (/.f64 (.f64 (sin.f64 (/.f64 phi1 2)) (*.f64 phi2 lambda1)) 4))))
(+.f64 (.f64 (.f64 phi2 lambda1) (sin.f64 (/.f64 phi1 2))) (neg.f64 (+.f64 (.f64 (.f64 phi2 lambda1) (.f64 (sin.f64 (/.f64 phi1 2)) 1/2)) (.f64 lambda1 (cos.f64 (/.f64 phi1 2))))))
(+.f64 (neg.f64 (.f64 lambda1 (cos.f64 (/.f64 phi1 2)))) (.f64 (.f64 phi2 lambda1) (-.f64 (sin.f64 (/.f64 phi1 2)) (.f64 1/2 (sin.f64 (/.f64 phi1 2))))))
(-.f64 (.f64 1/2 (.f64 lambda1 (.f64 phi2 (sin.f64 (/.f64 phi1 2))))) (.f64 lambda1 (cos.f64 (/.f64 phi1 2))))
(+.f64 (-.f64 (.f64 (sin.f64 (/.f64 phi1 2)) (.f64 phi2 lambda1)) (/.f64 (.f64 lambda1 (cos.f64 (/.f64 phi1 2))) 2)) (neg.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 (/.f64 phi1 2)) (.f64 phi2 lambda1))) (/.f64 (*.f64 lambda1 (cos.f64 (/.f64 phi1 2))) 2))))
(+.f64 (.f64 (.f64 phi2 lambda1) (sin.f64 (/.f64 phi1 2))) (neg.f64 (+.f64 (.f64 (.f64 phi2 lambda1) (.f64 (sin.f64 (/.f64 phi1 2)) 1/2)) (.f64 lambda1 (cos.f64 (/.f64 phi1 2))))))
(+.f64 (neg.f64 (.f64 lambda1 (cos.f64 (/.f64 phi1 2)))) (.f64 (.f64 phi2 lambda1) (-.f64 (sin.f64 (/.f64 phi1 2)) (.f64 1/2 (sin.f64 (/.f64 phi1 2))))))
(-.f64 (.f64 1/2 (.f64 lambda1 (.f64 phi2 (sin.f64 (/.f64 phi1 2))))) (.f64 lambda1 (cos.f64 (/.f64 phi1 2))))
(+.f64 (-.f64 (.f64 (sin.f64 (/.f64 phi1 2)) (.f64 phi2 lambda1)) (.f64 1/2 (.f64 (sin.f64 (/.f64 phi1 2)) (.f64 phi2 lambda1)))) (neg.f64 (.f64 lambda1 (cos.f64 (/.f64 phi1 2)))))
(+.f64 (.f64 (.f64 phi2 lambda1) (sin.f64 (/.f64 phi1 2))) (neg.f64 (+.f64 (.f64 (.f64 phi2 lambda1) (.f64 (sin.f64 (/.f64 phi1 2)) 1/2)) (.f64 lambda1 (cos.f64 (/.f64 phi1 2))))))
(+.f64 (neg.f64 (.f64 lambda1 (cos.f64 (/.f64 phi1 2)))) (.f64 (.f64 phi2 lambda1) (-.f64 (sin.f64 (/.f64 phi1 2)) (.f64 1/2 (sin.f64 (/.f64 phi1 2))))))
(-.f64 (.f64 1/2 (.f64 lambda1 (.f64 phi2 (sin.f64 (/.f64 phi1 2))))) (.f64 lambda1 (cos.f64 (/.f64 phi1 2))))
(+.f64 (-.f64 (.f64 (sin.f64 (/.f64 phi1 2)) (.f64 phi2 lambda1)) (/.f64 (.f64 (sin.f64 (/.f64 phi1 2)) (.f64 phi2 lambda1)) 4)) (neg.f64 (+.f64 (.f64 lambda1 (cos.f64 (/.f64 phi1 2))) (/.f64 (.f64 (sin.f64 (/.f64 phi1 2)) (*.f64 phi2 lambda1)) 4))))
(+.f64 (.f64 (.f64 phi2 lambda1) (sin.f64 (/.f64 phi1 2))) (neg.f64 (+.f64 (.f64 (.f64 phi2 lambda1) (.f64 (sin.f64 (/.f64 phi1 2)) 1/2)) (.f64 lambda1 (cos.f64 (/.f64 phi1 2))))))
(+.f64 (neg.f64 (.f64 lambda1 (cos.f64 (/.f64 phi1 2)))) (.f64 (.f64 phi2 lambda1) (-.f64 (sin.f64 (/.f64 phi1 2)) (.f64 1/2 (sin.f64 (/.f64 phi1 2))))))
(-.f64 (.f64 1/2 (.f64 lambda1 (.f64 phi2 (sin.f64 (/.f64 phi1 2))))) (.f64 lambda1 (cos.f64 (/.f64 phi1 2))))
(+.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 (/.f64 phi1 2)) (.f64 phi2 lambda1))) (.f64 lambda1 (cos.f64 (/.f64 phi1 2)))) (/.f64 (.f64 lambda1 (cos.f64 (/.f64 phi1 2))) 2)) (neg.f64 (.f64 3 (/.f64 (*.f64 lambda1 (cos.f64 (/.f64 phi1 2))) 2))))
(+.f64 (.f64 (.f64 phi2 lambda1) (sin.f64 (/.f64 phi1 2))) (neg.f64 (+.f64 (.f64 (.f64 phi2 lambda1) (.f64 (sin.f64 (/.f64 phi1 2)) 1/2)) (.f64 lambda1 (cos.f64 (/.f64 phi1 2))))))
(+.f64 (neg.f64 (.f64 lambda1 (cos.f64 (/.f64 phi1 2)))) (.f64 (.f64 phi2 lambda1) (-.f64 (sin.f64 (/.f64 phi1 2)) (.f64 1/2 (sin.f64 (/.f64 phi1 2))))))
(-.f64 (.f64 1/2 (.f64 lambda1 (.f64 phi2 (sin.f64 (/.f64 phi1 2))))) (.f64 lambda1 (cos.f64 (/.f64 phi1 2))))
(.f64 1/2 (.f64 lambda1 (+.f64 (.f64 (sin.f64 (/.f64 phi1 2)) phi2) (.f64 -2 (cos.f64 (/.f64 phi1 2))))))
(.f64 1/2 (.f64 lambda1 (+.f64 (.f64 phi2 (sin.f64 (/.f64 phi1 2))) (.f64 (cos.f64 (/.f64 phi1 2)) -2))))
(.f64 1/2 (-.f64 (.f64 (sin.f64 (/.f64 phi1 2)) (.f64 lambda1 (+.f64 phi2 phi2))) (+.f64 (.f64 (sin.f64 (/.f64 phi1 2)) (.f64 phi2 lambda1)) (.f64 lambda1 (*.f64 (cos.f64 (/.f64 phi1 2)) 2)))))
(.f64 1/2 (-.f64 (.f64 (sin.f64 (/.f64 phi1 2)) (.f64 lambda1 (+.f64 phi2 phi2))) (+.f64 (.f64 (.f64 phi2 lambda1) (sin.f64 (/.f64 phi1 2))) (.f64 lambda1 (*.f64 2 (cos.f64 (/.f64 phi1 2)))))))
(.f64 1/2 (+.f64 (.f64 (sin.f64 (/.f64 phi1 2)) (-.f64 (.f64 lambda1 (+.f64 phi2 phi2)) (.f64 phi2 lambda1))) (.f64 (cos.f64 (/.f64 phi1 2)) (.f64 lambda1 -2))))
(.f64 1/2 (+.f64 (.f64 lambda1 (.f64 (cos.f64 (/.f64 phi1 2)) -2)) (.f64 (*.f64 phi2 (sin.f64 (/.f64 phi1 2))) (-.f64 (+.f64 lambda1 lambda1) lambda1))))
(.f64 1/2 (.f64 lambda1 (-.f64 (.f64 phi2 (sin.f64 (/.f64 phi1 2))) (.f64 2 (cos.f64 (/.f64 phi1 2))))))
(.f64 lambda1 (-.f64 (.f64 (sin.f64 (/.f64 phi1 2)) (*.f64 1/2 phi2)) (cos.f64 (/.f64 phi1 2))))
(.f64 lambda1 (-.f64 (.f64 phi2 (*.f64 1/2 (sin.f64 (/.f64 phi1 2)))) (cos.f64 (/.f64 phi1 2))))
(.f64 lambda1 (-.f64 (.f64 1/2 (*.f64 phi2 (sin.f64 (/.f64 phi1 2)))) (cos.f64 (/.f64 phi1 2))))
(.f64 (.f64 lambda1 (-.f64 (.f64 (sin.f64 (/.f64 phi1 2)) (.f64 1/2 phi2)) (cos.f64 (/.f64 phi1 2)))) 1)
(.f64 lambda1 (-.f64 (.f64 phi2 (*.f64 1/2 (sin.f64 (/.f64 phi1 2)))) (cos.f64 (/.f64 phi1 2))))
(.f64 lambda1 (-.f64 (.f64 1/2 (*.f64 phi2 (sin.f64 (/.f64 phi1 2)))) (cos.f64 (/.f64 phi1 2))))
(.f64 1 (.f64 lambda1 (-.f64 (.f64 (sin.f64 (/.f64 phi1 2)) (.f64 1/2 phi2)) (cos.f64 (/.f64 phi1 2)))))
(.f64 lambda1 (-.f64 (.f64 phi2 (*.f64 1/2 (sin.f64 (/.f64 phi1 2)))) (cos.f64 (/.f64 phi1 2))))
(.f64 lambda1 (-.f64 (.f64 1/2 (*.f64 phi2 (sin.f64 (/.f64 phi1 2)))) (cos.f64 (/.f64 phi1 2))))
(.f64 (.f64 lambda1 (-.f64 (cos.f64 (/.f64 phi1 2)) (.f64 (sin.f64 (/.f64 phi1 2)) (.f64 1/2 phi2)))) -1)
(-.f64 (.f64 lambda1 (cos.f64 (/.f64 phi1 2))) (+.f64 (.f64 lambda1 (-.f64 (cos.f64 (/.f64 phi1 2)) (.f64 phi2 (.f64 1/2 (sin.f64 (/.f64 phi1 2)))))) (*.f64 lambda1 (cos.f64 (/.f64 phi1 2)))))
(-.f64 0 (+.f64 (.f64 lambda1 (-.f64 (cos.f64 (/.f64 phi1 2)) (.f64 phi2 (*.f64 1/2 (sin.f64 (/.f64 phi1 2)))))) 0))
(.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (/.f64 phi1 2)) (.f64 1/2 (*.f64 phi2 (sin.f64 (/.f64 phi1 2))))))
(.f64 (.f64 lambda1 (+.f64 (.f64 (sin.f64 (/.f64 phi1 2)) phi2) (.f64 -2 (cos.f64 (/.f64 phi1 2))))) 1/2)
(.f64 1/2 (.f64 lambda1 (+.f64 (.f64 phi2 (sin.f64 (/.f64 phi1 2))) (.f64 (cos.f64 (/.f64 phi1 2)) -2))))
(.f64 -1 (.f64 lambda1 (-.f64 (cos.f64 (/.f64 phi1 2)) (.f64 (sin.f64 (/.f64 phi1 2)) (.f64 1/2 phi2)))))
(-.f64 (.f64 lambda1 (cos.f64 (/.f64 phi1 2))) (+.f64 (.f64 lambda1 (-.f64 (cos.f64 (/.f64 phi1 2)) (.f64 phi2 (.f64 1/2 (sin.f64 (/.f64 phi1 2)))))) (*.f64 lambda1 (cos.f64 (/.f64 phi1 2)))))
(-.f64 0 (+.f64 (.f64 lambda1 (-.f64 (cos.f64 (/.f64 phi1 2)) (.f64 phi2 (*.f64 1/2 (sin.f64 (/.f64 phi1 2)))))) 0))
(.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (/.f64 phi1 2)) (.f64 1/2 (*.f64 phi2 (sin.f64 (/.f64 phi1 2))))))
(.f64 1/4 (.f64 2 (.f64 lambda1 (+.f64 (.f64 (sin.f64 (/.f64 phi1 2)) phi2) (*.f64 -2 (cos.f64 (/.f64 phi1 2)))))))
(.f64 1/2 (.f64 lambda1 (+.f64 (.f64 phi2 (sin.f64 (/.f64 phi1 2))) (.f64 (cos.f64 (/.f64 phi1 2)) -2))))
(.f64 (.f64 2 (.f64 lambda1 (+.f64 (.f64 (sin.f64 (/.f64 phi1 2)) phi2) (*.f64 -2 (cos.f64 (/.f64 phi1 2)))))) 1/4)
(.f64 1/2 (.f64 lambda1 (+.f64 (.f64 phi2 (sin.f64 (/.f64 phi1 2))) (.f64 (cos.f64 (/.f64 phi1 2)) -2))))
(/.f64 (.f64 lambda1 (-.f64 (.f64 (sin.f64 (/.f64 phi1 2)) (*.f64 1/2 phi2)) (cos.f64 (/.f64 phi1 2)))) 1)
(.f64 lambda1 (-.f64 (.f64 phi2 (*.f64 1/2 (sin.f64 (/.f64 phi1 2)))) (cos.f64 (/.f64 phi1 2))))
(.f64 lambda1 (-.f64 (.f64 1/2 (*.f64 phi2 (sin.f64 (/.f64 phi1 2)))) (cos.f64 (/.f64 phi1 2))))
(/.f64 (.f64 lambda1 (-.f64 (cos.f64 (/.f64 phi1 2)) (.f64 (sin.f64 (/.f64 phi1 2)) (*.f64 1/2 phi2)))) -1)
(-.f64 (.f64 lambda1 (cos.f64 (/.f64 phi1 2))) (+.f64 (.f64 lambda1 (-.f64 (cos.f64 (/.f64 phi1 2)) (.f64 phi2 (.f64 1/2 (sin.f64 (/.f64 phi1 2)))))) (*.f64 lambda1 (cos.f64 (/.f64 phi1 2)))))
(-.f64 0 (+.f64 (.f64 lambda1 (-.f64 (cos.f64 (/.f64 phi1 2)) (.f64 phi2 (*.f64 1/2 (sin.f64 (/.f64 phi1 2)))))) 0))
(.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (/.f64 phi1 2)) (.f64 1/2 (*.f64 phi2 (sin.f64 (/.f64 phi1 2))))))
(/.f64 (.f64 lambda1 (+.f64 (.f64 (sin.f64 (/.f64 phi1 2)) phi2) (*.f64 -2 (cos.f64 (/.f64 phi1 2))))) 2)
(/.f64 (.f64 lambda1 (+.f64 (.f64 phi2 (sin.f64 (/.f64 phi1 2))) (*.f64 (cos.f64 (/.f64 phi1 2)) -2))) 2)
(/.f64 (.f64 2 (.f64 lambda1 (+.f64 (.f64 (sin.f64 (/.f64 phi1 2)) phi2) (.f64 -2 (cos.f64 (/.f64 phi1 2)))))) 4)
(/.f64 (.f64 lambda1 (+.f64 (.f64 phi2 (sin.f64 (/.f64 phi1 2))) (*.f64 (cos.f64 (/.f64 phi1 2)) -2))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 lambda1 (+.f64 (.f64 (sin.f64 (/.f64 phi1 2)) phi2) (.f64 -2 (cos.f64 (/.f64 phi1 2)))))) (.f64 2 (.f64 lambda1 (+.f64 (.f64 (sin.f64 (/.f64 phi1 2)) phi2) (.f64 -2 (cos.f64 (/.f64 phi1 2))))))) 8)
(/.f64 (.f64 lambda1 (+.f64 (.f64 phi2 (sin.f64 (/.f64 phi1 2))) (*.f64 (cos.f64 (/.f64 phi1 2)) -2))) 2)
(pow.f64 (.f64 lambda1 (-.f64 (.f64 (sin.f64 (/.f64 phi1 2)) (*.f64 1/2 phi2)) (cos.f64 (/.f64 phi1 2)))) 1)
(.f64 lambda1 (-.f64 (.f64 phi2 (*.f64 1/2 (sin.f64 (/.f64 phi1 2)))) (cos.f64 (/.f64 phi1 2))))
(.f64 lambda1 (-.f64 (.f64 1/2 (*.f64 phi2 (sin.f64 (/.f64 phi1 2)))) (cos.f64 (/.f64 phi1 2))))
(neg.f64 (.f64 lambda1 (-.f64 (cos.f64 (/.f64 phi1 2)) (.f64 (sin.f64 (/.f64 phi1 2)) (*.f64 1/2 phi2)))))
(-.f64 (.f64 lambda1 (cos.f64 (/.f64 phi1 2))) (+.f64 (.f64 lambda1 (-.f64 (cos.f64 (/.f64 phi1 2)) (.f64 phi2 (.f64 1/2 (sin.f64 (/.f64 phi1 2)))))) (*.f64 lambda1 (cos.f64 (/.f64 phi1 2)))))
(-.f64 0 (+.f64 (.f64 lambda1 (-.f64 (cos.f64 (/.f64 phi1 2)) (.f64 phi2 (*.f64 1/2 (sin.f64 (/.f64 phi1 2)))))) 0))
(.f64 (neg.f64 lambda1) (-.f64 (cos.f64 (/.f64 phi1 2)) (.f64 1/2 (*.f64 phi2 (sin.f64 (/.f64 phi1 2))))))

eval1.1s (0.9%)

Compiler: Compiled 18904 to 10930 computations (42.2% saved)

prune944.0ms (0.8%)

Pruning

50 alts after pruning (46 fresh and 4 done)

	Pruned	Kept	Total
New	876	13	889
Fresh	9	33	42
Picked	0	1	1
Done	3	3	6
Total	888	50	938

Error

2.8b

Counts

938 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	28.3b	(/.f64 (.f64 R (.f64 4 (-.f64 (*.f64 phi2 4) (+.f64 phi2 (+.f64 phi2 (+.f64 phi2 phi1)))))) 4)
	28.4b	(-.f64 (/.f64 (.f64 R phi2) 2) (+.f64 (-.f64 (.f64 R (.f64 phi2 4)) (-.f64 (.f64 R (.f64 phi2 3)) (.f64 R phi1))) (.f64 (.f64 R phi2) -3/2)))
	28.1b	(-.f64 (+.f64 (/.f64 (.f64 R (-.f64 phi2 phi1)) 4) (.f64 (-.f64 phi2 phi1) (.f64 R 1/2))) (-.f64 0 (/.f64 (.f64 R (-.f64 phi2 phi1)) 4)))
	28.3b	(-.f64 (+.f64 (neg.f64 (.f64 (+.f64 phi1 phi2) (neg.f64 R))) (.f64 R (-.f64 (.f64 phi1 -1/2) phi1))) (/.f64 (.f64 phi1 R) 2))
	28.3b	(-.f64 (.f64 (.f64 phi1 R) -3/2) (.f64 R (-.f64 (-.f64 (neg.f64 phi2) phi1) (.f64 phi1 -1/2))))
	52.1b	(-.f64 (.f64 (.f64 lambda1 (.f64 R phi2)) (.f64 phi1 1/4)) (*.f64 R lambda1))
	28.1b	(-.f64 (.f64 phi2 R) (.f64 R phi1))
	41.4b	(-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 phi1 R))
	28.2b	(-.f64 (.f64 R (+.f64 phi1 phi2)) (-.f64 (/.f64 (.f64 phi1 R) 2) (.f64 (.f64 phi1 -1/2) (*.f64 R 3))))
	28.4b	(+.f64 (/.f64 (.f64 phi2 R) -1/2) (.f64 R (-.f64 (*.f64 phi2 3) phi1)))
	36.1b	(+.f64 (.f64 phi2 (.f64 R 1/2)) (+.f64 (.f64 R (.f64 phi2 3/2)) (+.f64 -1 (-.f64 1 (*.f64 (+.f64 phi2 phi1) R)))))
	28.2b	(+.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (-.f64 (.f64 phi1 -1/2) phi1))) (.f64 phi1 (.f64 R -1/2)))
	28.2b	(+.f64 (.f64 R (+.f64 phi1 phi2)) (-.f64 (.f64 R (-.f64 (.f64 phi1 -1/2) phi1)) (/.f64 (.f64 phi1 R) 2)))
	51.6b	(.f64 (-.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi1))) (.f64 lambda1 R))
	28.1b	(.f64 (-.f64 (.f64 2 phi2) (+.f64 phi2 phi1)) R)
	46.1b	(.f64 (-.f64 (.f64 1/2 R) (+.f64 R (*.f64 -3/2 R))) phi2)
	28.1b	(*.f64 (-.f64 phi2 phi1) R)
	52.3b	(.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 -1/2 (sin.f64 (.f64 1/2 phi2))))) (.f64 lambda2 R))
	51.8b	(.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1) (neg.f64 R))
	51.5b	(.f64 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1) (neg.f64 R))
	51.6b	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi2 phi1))) (*.f64 lambda1 (neg.f64 R)))
	41.0b	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (*.f64 (-.f64 lambda2 lambda1) R))
	53.0b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 R))
	51.5b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 (neg.f64 R)))
✓	44.3b	(*.f64 phi1 (neg.f64 R))
	51.5b	(.f64 lambda2 (.f64 (-.f64 (-.f64 (/.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (.f64 3 (/.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) -2))) R))
	51.5b	(.f64 lambda2 (.f64 (-.f64 (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 4)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 4))) (.f64 (sin.f64 (/.f64 (+.f64 phi1 phi2) 4)) (sin.f64 (/.f64 (+.f64 phi1 phi2) 4)))) R))
	52.4b	(.f64 lambda2 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 phi1 -1/2))) R))
	52.1b	(.f64 lambda2 (.f64 (sqrt.f64 (+.f64 1/2 (.f64 1/2 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))) R))
	52.0b	(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi2)) R))
✓	51.8b	(.f64 R (-.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 lambda1))) (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1)))
	52.5b	(.f64 R (-.f64 (.f64 1/4 (.f64 phi2 (.f64 phi1 lambda1))) lambda1))
	53.2b	(.f64 R (+.f64 (.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 phi2))) (-.f64 (.f64 (pow.f64 phi1 2) -1/8) -1)) (.f64 (.f64 lambda2 (sin.f64 (.f64 1/2 phi2))) (+.f64 (.f64 (pow.f64 phi1 3) 1/48) (.f64 phi1 -1/2)))))
	58.0b	(.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)))))))
	52.5b	(.f64 R (+.f64 (neg.f64 lambda1) (.f64 (.f64 phi2 phi1) (.f64 lambda1 1/4))))
	42.7b	(.f64 R (+.f64 lambda2 (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 lambda1))))
	60.2b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
	53.0b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda2))
	48.8b	(.f64 R (.f64 lambda2 (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (+.f64 phi1 phi2))) 1/2))))
	59.9b	(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
	52.0b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
	44.1b	(.f64 R (sqrt.f64 (-.f64 (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda2 lambda1) (+.f64 1/2 (.f64 1/2 (-.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) phi2)))))))))
	43.5b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	42.3b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (/.f64 (-.f64 (+.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (-.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) 2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	41.8b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (-.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	43.6b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (cos.f64 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	43.5b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (cos.f64 phi1) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
✓	51.5b	(*.f64 R (neg.f64 lambda1))
✓	46.0b	(*.f64 R phi2)
	62.0b	(.f64 -1/2 (.f64 phi1 (.f64 lambda2 (.f64 (sin.f64 (*.f64 1/2 phi2)) R))))

Compiler

Compiled 1057 to 740 computations (30% saved)

regimes6.1s (5.2%)

Counts

85 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

9 calls:

1.3s	phi1
1.1s	lambda2
933.0ms	(-.f64 lambda1 lambda2)
770.0ms	phi2
699.0ms	R

Results

Error	Segments	Branch
22.9b	5	`R`
25.0b	3	`lambda1`
23.2b	4	`lambda2`
16.6b	7	`phi1`
18.8b	6	`phi2`
15.9b	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)))))`
15.9b	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))))`
15.9b	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)))`
20.9b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1678 to 912 computations (45.6% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.1551387536462717e+273	3.701939217994156e+287
0.0ms	-inf	-1.2081440906948106e+298

Compiler

Compiled 45 to 28 computations (37.8% saved)

regimes6.4s (5.5%)

Counts

81 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

9 calls:

1.7s	(-.f64 lambda1 lambda2)
1.1s	phi2
909.0ms	phi1
714.0ms	lambda1
687.0ms	R

Results

Error	Segments	Branch
23.1b	5	`R`
25.0b	3	`lambda1`
24.3b	2	`lambda2`
17.7b	5	`phi1`
19.2b	6	`phi2`
16.4b	3	`(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))`
16.4b	2	`(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))`
16.4b	2	`(+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))`
21.2b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1498 to 802 computations (46.5% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.1551387536462717e+273	3.701939217994156e+287
0.0ms	-inf	-1.2081440906948106e+298

Compiler

Compiled 45 to 28 computations (37.8% saved)

regimes6.7s (5.7%)

Counts

80 → 3

Calls

Call 1

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

Outputs

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

Calls

9 calls:

1.3s	lambda1
1.2s	R
1.1s	phi1
949.0ms	phi2
854.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
23.1b	5	`R`
25.0b	3	`lambda1`
24.3b	2	`lambda2`
17.7b	5	`phi1`
19.2b	6	`phi2`
16.4b	3	`(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))`
16.4b	2	`(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))`
16.4b	2	`(+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))`
21.2b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1453 to 780 computations (46.3% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.1551387536462717e+273	3.701939217994156e+287
0.0ms	-inf	-1.2081440906948106e+298

Compiler

Compiled 45 to 28 computations (37.8% saved)

regimes4.8s (4.1%)

Counts

74 → 5

Calls

Call 1

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

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

Calls

6 calls:

1.1s	(-.f64 lambda1 lambda2)
881.0ms	R
846.0ms	phi2
819.0ms	lambda1
659.0ms	phi1

Results

Error	Segments	Branch
23.1b	5	`R`
25.0b	3	`lambda1`
24.3b	2	`lambda2`
17.7b	5	`phi1`
19.2b	6	`phi2`
21.2b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1153 to 609 computations (47.2% saved)

bsearch838.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
259.0ms	7.238867708801129e-91	3.7318597399876104e-78
102.0ms	4.143998861099649e-167	3.988998499687982e-166
89.0ms	1.9087227403471929e-193	1.0225297879529385e-189
387.0ms	-4.061554182510427e+27	-9.84934581806007e+22

Results

731.0ms	453×	body	256	valid
79.0ms	38×	body	1024	valid
14.0ms	21×	body	512	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 1121 to 790 computations (29.5% saved)

regimes5.8s (4.9%)

Counts

61 → 5

Calls

Call 1

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

Calls

6 calls:

1.7s	phi2
1.3s	(-.f64 lambda1 lambda2)
929.0ms	lambda1
820.0ms	phi1
527.0ms	R

Results

Error	Segments	Branch
23.8b	5	`R`
25.0b	3	`lambda1`
24.3b	2	`lambda2`
17.7b	5	`phi1`
20.4b	5	`phi2`
22.1b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 816 to 445 computations (45.5% saved)

bsearch418.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
154.0ms	7.238867708801129e-91	3.7318597399876104e-78
58.0ms	4.143998861099649e-167	3.988998499687982e-166
89.0ms	1.9087227403471929e-193	1.0225297879529385e-189
116.0ms	-4.061554182510427e+27	-9.84934581806007e+22

Results

303.0ms	463×	body	256	valid
61.0ms	30×	body	1024	valid
12.0ms	19×	body	512	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 993 to 710 computations (28.5% saved)

regimes2.2s (1.9%)

Counts

49 → 3

Calls

Call 1

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

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

Calls

5 calls:

513.0ms	lambda1
499.0ms	phi1
430.0ms	phi2
388.0ms	R
282.0ms	lambda2

Results

Error	Segments	Branch
27.0b	3	`R`
24.9b	4	`lambda1`
25.8b	2	`lambda2`
19.9b	3	`phi1`
21.3b	5	`phi2`

Compiler

Compiled 608 to 313 computations (48.5% saved)

bsearch573.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
446.0ms	1.9087227403471929e-193	1.0225297879529385e-189
126.0ms	-9.607400787077962e+30	-4.061554182510427e+27

Results

523.0ms	227×	body	256	valid
37.0ms	21×	body	1024	valid
5.0ms	8×	body	512	valid

Compiler

Compiled 541 to 388 computations (28.3% saved)

regimes3.1s (2.7%)

Counts

46 → 8

Calls

Call 1

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

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

Calls

5 calls:

1.5s	phi1
467.0ms	lambda2
443.0ms	lambda1
413.0ms	phi2
226.0ms	R

Results

Error	Segments	Branch
27.0b	3	`R`
25.4b	4	`lambda1`
25.8b	2	`lambda2`
21.2b	8	`phi1`
26.5b	3	`phi2`

Compiler

Compiled 574 to 295 computations (48.6% saved)

bsearch581.0ms (0.5%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
81.0ms	1.9087227403471929e-193	1.0225297879529385e-189
34.0ms	3.7592813523679005e-224	4.984794261493931e-224
87.0ms	-7.741649235721785e-246	-1.0360354191449017e-246
58.0ms	-2.5117035686205756e-135	-3.871400863651067e-136
96.0ms	-1.407677996740946e-91	-2.601766329594185e-92
123.0ms	-8.466428252941037e-72	-8.413476593327261e-80
101.0ms	-0.03218852066620985	-0.0004210307498479475

Results

364.0ms	647×	body	256	valid
105.0ms	44×	body	1024	valid
51.0ms	29×	body	512	valid

Compiler

Compiled 1314 to 978 computations (25.6% saved)

regimes1.7s (1.4%)

Counts

44 → 8

Calls

Call 1

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

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

Calls

5 calls:

680.0ms	phi1
310.0ms	lambda1
239.0ms	phi2
231.0ms	lambda2
191.0ms	R

Results

Error	Segments	Branch
27.0b	3	`R`
25.5b	4	`lambda1`
25.8b	2	`lambda2`
21.2b	8	`phi1`
26.5b	3	`phi2`

Compiler

Compiled 552 to 283 computations (48.7% saved)

bsearch716.0ms (0.6%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
186.0ms	1.9087227403471929e-193	1.0225297879529385e-189
46.0ms	3.7592813523679005e-224	4.984794261493931e-224
74.0ms	-7.741649235721785e-246	-1.0360354191449017e-246
95.0ms	-2.5117035686205756e-135	-3.871400863651067e-136
110.0ms	-1.407677996740946e-91	-2.601766329594185e-92
107.0ms	-8.466428252941037e-72	-8.413476593327261e-80
98.0ms	-0.03218852066620985	-0.0004210307498479475

Results

436.0ms	641×	body	256	valid
198.0ms	50×	body	1024	valid
59.0ms	29×	body	512	valid

Compiler

Compiled 1282 to 962 computations (25% saved)

regimes3.4s (2.9%)

Counts

41 → 8

Calls

Call 1

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

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

Calls

5 calls:

1.5s	phi1
633.0ms	lambda2
546.0ms	phi2
410.0ms	lambda1
216.0ms	R

Results

Error	Segments	Branch
27.0b	3	`R`
25.5b	4	`lambda1`
24.9b	5	`lambda2`
21.2b	8	`phi1`
26.5b	3	`phi2`

Compiler

Compiled 522 to 268 computations (48.7% saved)

bsearch872.0ms (0.7%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
102.0ms	1.9087227403471929e-193	1.0225297879529385e-189
49.0ms	3.7592813523679005e-224	4.984794261493931e-224
84.0ms	-7.741649235721785e-246	-1.0360354191449017e-246
212.0ms	-2.5117035686205756e-135	-3.871400863651067e-136
87.0ms	-1.407677996740946e-91	-2.601766329594185e-92
161.0ms	-8.466428252941037e-72	-8.413476593327261e-80
177.0ms	-0.03218852066620985	-0.0004210307498479475

Results

711.0ms	636×	body	256	valid
61.0ms	48×	body	1024	valid
53.0ms	36×	body	512	valid

Compiler

Compiled 1258 to 950 computations (24.5% saved)

regimes2.6s (2.3%)

Counts

40 → 8

Calls

Call 1

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

Outputs
(-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2)))
(.f64 (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1) (neg.f64 R))
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 R (-.f64 (.f64 1/4 (.f64 phi2 (.f64 phi1 lambda1))) lambda1))
(*.f64 R (-.f64 phi2 phi1))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi2)) R))
(*.f64 R (-.f64 phi2 phi1))

Calls

5 calls:

1.1s	phi1
576.0ms	lambda1
355.0ms	R
337.0ms	lambda2
256.0ms	phi2

Results

Error	Segments	Branch
27.0b	3	`R`
25.5b	4	`lambda1`
24.9b	5	`lambda2`
21.3b	8	`phi1`
26.5b	3	`phi2`

Compiler

Compiled 513 to 263 computations (48.7% saved)

bsearch632.0ms (0.5%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
108.0ms	1.9087227403471929e-193	1.0225297879529385e-189
41.0ms	3.7592813523679005e-224	4.984794261493931e-224
72.0ms	-7.741649235721785e-246	-1.0360354191449017e-246
52.0ms	-2.5117035686205756e-135	-3.871400863651067e-136
111.0ms	-1.407677996740946e-91	-2.601766329594185e-92
151.0ms	-8.466428252941037e-72	-8.413476593327261e-80
96.0ms	-0.03218852066620985	-0.0004210307498479475

Results

488.0ms	655×	body	256	valid
75.0ms	36×	body	1024	valid
35.0ms	29×	body	512	valid

Compiler

Compiled 1282 to 950 computations (25.9% saved)

regimes2.3s (2%)

Counts

39 → 8

Calls

Call 1

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

Outputs
(-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 (neg.f64 R)))
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 R (-.f64 (.f64 1/4 (.f64 phi2 (.f64 phi1 lambda1))) lambda1))
(*.f64 R (-.f64 phi2 phi1))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi2)) R))
(*.f64 R (-.f64 phi2 phi1))

Calls

5 calls:

749.0ms	phi1
415.0ms	R
414.0ms	lambda1
351.0ms	lambda2
322.0ms	phi2

Results

Error	Segments	Branch
27.0b	3	`R`
25.5b	4	`lambda1`
24.9b	5	`lambda2`
21.3b	8	`phi1`
26.5b	3	`phi2`

Compiler

Compiled 504 to 258 computations (48.8% saved)

bsearch689.0ms (0.6%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
130.0ms	1.9087227403471929e-193	1.0225297879529385e-189
43.0ms	3.7592813523679005e-224	4.984794261493931e-224
84.0ms	-7.741649235721785e-246	-1.0360354191449017e-246
116.0ms	-2.5117035686205756e-135	-3.871400863651067e-136
105.0ms	-1.407677996740946e-91	-2.601766329594185e-92
134.0ms	-8.466428252941037e-72	-8.413476593327261e-80
74.0ms	-0.03218852066620985	-0.0004210307498479475

Results

484.0ms	635×	body	256	valid
168.0ms	58×	body	1024	valid
18.0ms	27×	body	512	valid

Compiler

Compiled 1282 to 950 computations (25.9% saved)

regimes1.8s (1.6%)

Counts

38 → 8

Calls

Call 1

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

Outputs
(-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2)))
(*.f64 R (neg.f64 lambda1))
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 R (-.f64 (.f64 1/4 (.f64 phi2 (.f64 phi1 lambda1))) lambda1))
(*.f64 R (-.f64 phi2 phi1))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi2)) R))
(*.f64 R (-.f64 phi2 phi1))

Calls

5 calls:

799.0ms	phi1
351.0ms	lambda2
260.0ms	lambda1
253.0ms	phi2
73.0ms	R

Results

Error	Segments	Branch
28.1b	1	`R`
25.7b	4	`lambda1`
24.9b	5	`lambda2`
21.5b	8	`phi1`
26.5b	3	`phi2`

Compiler

Compiled 495 to 253 computations (48.9% saved)

bsearch745.0ms (0.6%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
121.0ms	1.9087227403471929e-193	1.0225297879529385e-189
52.0ms	3.7592813523679005e-224	4.984794261493931e-224
75.0ms	-7.741649235721785e-246	-1.0360354191449017e-246
123.0ms	-2.5117035686205756e-135	-3.871400863651067e-136
92.0ms	-1.407677996740946e-91	-2.601766329594185e-92
137.0ms	-8.466428252941037e-72	-8.413476593327261e-80
143.0ms	-0.03218852066620985	-0.0004210307498479475

Results

523.0ms	660×	body	256	valid
106.0ms	39×	body	1024	valid
46.0ms	21×	body	512	valid

Compiler

Compiled 1202 to 886 computations (26.3% saved)

regimes2.3s (2%)

Counts

34 → 8

Calls

Call 1

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

Outputs
(-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2)))
(*.f64 R (neg.f64 lambda1))
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(.f64 R (-.f64 (.f64 1/4 (.f64 phi2 (.f64 phi1 lambda1))) lambda1))
(*.f64 R (-.f64 phi2 phi1))
(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2))))
(*.f64 R (-.f64 phi2 phi1))

Calls

5 calls:

981.0ms	phi1
596.0ms	lambda2
465.0ms	lambda1
171.0ms	phi2
62.0ms	R

Results

Error	Segments	Branch
28.1b	1	`R`
25.7b	4	`lambda1`
24.9b	5	`lambda2`
21.5b	8	`phi1`
26.5b	3	`phi2`

Compiler

Compiled 463 to 234 computations (49.5% saved)

bsearch658.0ms (0.6%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
96.0ms	1.9087227403471929e-193	1.0225297879529385e-189
59.0ms	3.7592813523679005e-224	4.984794261493931e-224
72.0ms	-7.741649235721785e-246	-1.0360354191449017e-246
79.0ms	-2.5117035686205756e-135	-3.871400863651067e-136
108.0ms	-1.407677996740946e-91	-2.601766329594185e-92
127.0ms	-8.466428252941037e-72	-8.413476593327261e-80
117.0ms	-0.03218852066620985	-0.0004210307498479475

Results

449.0ms	640×	body	256	valid
115.0ms	50×	body	1024	valid
44.0ms	30×	body	512	valid

Compiler

Compiled 1202 to 886 computations (26.3% saved)

regimes947.0ms (0.8%)

Counts

32 → 5

Calls

Call 1

Inputs
(*.f64 R phi2)
(*.f64 R (neg.f64 lambda1))
(*.f64 R (neg.f64 phi1))
(*.f64 phi1 (neg.f64 R))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 (-.f64 phi2 phi1) R)
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(-.f64 (.f64 phi2 R) (.f64 R phi1))
(+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R)))
(.f64 (-.f64 (.f64 2 phi2) (+.f64 phi2 phi1)) R)
(-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 phi1 R))
(.f64 R (-.f64 (.f64 1/4 (.f64 phi2 (.f64 phi1 lambda1))) lambda1))
(.f64 (-.f64 (.f64 1/2 R) (+.f64 R (*.f64 -3/2 R))) phi2)
(-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2)))
(.f64 R (+.f64 (neg.f64 lambda1) (.f64 phi1 (.f64 (.f64 phi2 lambda1) 1/4))))
(.f64 R (+.f64 (neg.f64 lambda1) (.f64 (.f64 phi2 phi1) (.f64 lambda1 1/4))))
(+.f64 (/.f64 (.f64 phi2 R) -1/2) (.f64 R (-.f64 (*.f64 phi2 3) phi1)))
(-.f64 (.f64 (.f64 lambda1 (.f64 R phi2)) (.f64 phi1 1/4)) (*.f64 R lambda1))
(-.f64 (.f64 (.f64 R phi2) 1/2) (.f64 R (-.f64 (+.f64 phi1 phi2) (.f64 phi2 3/2))))
(-.f64 (.f64 (.f64 phi1 R) -3/2) (.f64 R (-.f64 (-.f64 (neg.f64 phi2) phi1) (.f64 phi1 -1/2))))
(+.f64 (.f64 R (+.f64 (+.f64 phi1 phi2) (-.f64 (.f64 phi1 -1/2) phi1))) (.f64 phi1 (.f64 R -1/2)))
(+.f64 (/.f64 (.f64 R (-.f64 phi2 phi1)) 4) (/.f64 (.f64 (-.f64 phi2 phi1) (*.f64 R 3)) 4))
(-.f64 (.f64 (.f64 R phi2) 1/2) (+.f64 (.f64 R (+.f64 phi1 phi2)) (.f64 R (*.f64 phi2 -3/2))))
(-.f64 (-.f64 (/.f64 (.f64 R phi2) 2) (.f64 phi2 (.f64 R -3/2))) (.f64 R (+.f64 phi1 phi2)))
(-.f64 (/.f64 (.f64 R phi2) 2) (+.f64 (.f64 R (+.f64 phi1 phi2)) (.f64 (.f64 R phi2) -3/2)))
(/.f64 (.f64 R (.f64 4 (-.f64 (*.f64 phi2 4) (+.f64 phi2 (+.f64 phi2 (+.f64 phi2 phi1)))))) 4)
(+.f64 (.f64 R (+.f64 phi1 phi2)) (-.f64 (.f64 R (-.f64 (.f64 phi1 -1/2) phi1)) (/.f64 (.f64 phi1 R) 2)))
(-.f64 (.f64 R (+.f64 phi1 phi2)) (-.f64 (/.f64 (.f64 phi1 R) 2) (.f64 (.f64 phi1 -1/2) (*.f64 R 3))))
(+.f64 (.f64 phi2 (.f64 R 1/2)) (+.f64 (.f64 R (.f64 phi2 3/2)) (+.f64 -1 (-.f64 1 (*.f64 (+.f64 phi2 phi1) R)))))
(-.f64 (+.f64 (neg.f64 (.f64 (+.f64 phi1 phi2) (neg.f64 R))) (.f64 R (-.f64 (.f64 phi1 -1/2) phi1))) (/.f64 (.f64 phi1 R) 2))
(-.f64 (+.f64 (/.f64 (.f64 R (-.f64 phi2 phi1)) 4) (.f64 (-.f64 phi2 phi1) (.f64 R 1/2))) (-.f64 0 (/.f64 (.f64 R (-.f64 phi2 phi1)) 4)))
(-.f64 (/.f64 (.f64 R phi2) 2) (+.f64 (-.f64 (.f64 R (.f64 phi2 4)) (-.f64 (.f64 R (.f64 phi2 3)) (.f64 R phi1))) (.f64 (.f64 R phi2) -3/2)))

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

Calls

5 calls:

351.0ms	phi1
250.0ms	lambda1
162.0ms	phi2
64.0ms	lambda2
56.0ms	R

Results

Error	Segments	Branch
28.1b	1	`R`
25.7b	4	`lambda1`
28.1b	1	`lambda2`
24.0b	5	`phi1`
26.5b	3	`phi2`

Compiler

Compiled 447 to 224 computations (49.9% saved)

bsearch651.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
303.0ms	-7.741649235721785e-246	-1.0360354191449017e-246
107.0ms	-1.7967670846579653e-175	-1.3450625829741175e-177
117.0ms	-8.466428252941037e-72	-8.413476593327261e-80
124.0ms	-0.03218852066620985	-0.0004210307498479475

Results

564.0ms	415×	body	256	valid
51.0ms	31×	body	1024	valid
26.0ms	18×	body	512	valid

Compiler

Compiled 696 to 513 computations (26.3% saved)

regimes596.0ms (0.5%)

Counts

13 → 5

Calls

Call 1

Inputs
(*.f64 R phi2)
(*.f64 R (neg.f64 lambda1))
(*.f64 R (neg.f64 phi1))
(*.f64 phi1 (neg.f64 R))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 (-.f64 phi2 phi1) R)
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(-.f64 (.f64 phi2 R) (.f64 R phi1))
(+.f64 (.f64 phi2 R) (.f64 phi1 (neg.f64 R)))
(.f64 (-.f64 (.f64 2 phi2) (+.f64 phi2 phi1)) R)
(-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 phi1 R))
(.f64 R (-.f64 (.f64 1/4 (.f64 phi2 (.f64 phi1 lambda1))) lambda1))
(.f64 (-.f64 (.f64 1/2 R) (+.f64 R (*.f64 -3/2 R))) phi2)

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

Calls

5 calls:

294.0ms	phi1
131.0ms	lambda1
90.0ms	phi2
44.0ms	lambda2
31.0ms	R

Results

Error	Segments	Branch
28.1b	1	`R`
25.7b	4	`lambda1`
28.1b	1	`lambda2`
24.0b	5	`phi1`
26.5b	3	`phi2`

Compiler

Compiled 121 to 68 computations (43.8% saved)

bsearch664.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
57.0ms	-7.741649235721785e-246	-1.0360354191449017e-246
115.0ms	-1.7967670846579653e-175	-1.3450625829741175e-177
97.0ms	-8.466428252941037e-72	-8.413476593327261e-80
395.0ms	-0.03218852066620985	-0.0004210307498479475

Results

566.0ms	418×	body	256	valid
63.0ms	32×	body	1024	valid
9.0ms	14×	body	512	valid

Compiler

Compiled 682 to 513 computations (24.8% saved)

regimes399.0ms (0.3%)

Counts

9 → 5

Calls

Call 1

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

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

Calls

5 calls:

134.0ms	phi2
116.0ms	phi1
109.0ms	lambda1
25.0ms	lambda2
12.0ms	R

Results

Error	Segments	Branch
28.1b	1	`R`
25.7b	4	`lambda1`
28.1b	1	`lambda2`
24.0b	5	`phi1`
26.5b	3	`phi2`

Compiler

Compiled 81 to 46 computations (43.2% saved)

bsearch524.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
86.0ms	-7.741649235721785e-246	-1.0360354191449017e-246
196.0ms	-1.7967670846579653e-175	-1.3450625829741175e-177
130.0ms	-8.466428252941037e-72	-8.413476593327261e-80
82.0ms	-0.03218852066620985	-0.0004210307498479475

Results

303.0ms	416×	body	256	valid
146.0ms	26×	body	1024	valid
14.0ms	22×	body	512	valid

Compiler

Compiled 668 to 499 computations (25.3% saved)

regimes314.0ms (0.3%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

5 calls:

91.0ms	phi1
77.0ms	lambda1
76.0ms	phi2
40.0ms	R
18.0ms	lambda2

Results

Error	Segments	Branch
28.1b	1	`R`
25.7b	4	`lambda1`
28.1b	1	`lambda2`
24.0b	5	`phi1`
26.5b	3	`phi2`

Compiler

Compiled 66 to 42 computations (36.4% saved)

bsearch365.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
56.0ms	-7.741649235721785e-246	-1.0360354191449017e-246
93.0ms	-1.7967670846579653e-175	-1.3450625829741175e-177
116.0ms	-8.466428252941037e-72	-8.413476593327261e-80
101.0ms	-0.03218852066620985	-0.0004210307498479475

Results

297.0ms	415×	body	256	valid
35.0ms	25×	body	512	valid
23.0ms	24×	body	1024	valid

Compiler

Compiled 654 to 492 computations (24.8% saved)

regimes563.0ms (0.5%)

Counts

4 → 6

Calls

Call 1

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

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

Calls

5 calls:

145.0ms	lambda2
136.0ms	lambda1
127.0ms	R
101.0ms	phi2
48.0ms	phi1

Results

Error	Segments	Branch
38.0b	8	`R`
35.3b	7	`lambda1`
37.3b	9	`lambda2`
28.9b	3	`phi1`
28.6b	6	`phi2`

Compiler

Compiled 50 to 37 computations (26% saved)

bsearch665.0ms (0.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
141.0ms	6.700528289470227e-5	54.55883489050568
117.0ms	1.0849064643692987e-16	6.184523801214382e-11
63.0ms	3.40245533428648e-25	1.072823056708751e-24
246.0ms	1.194563705806761e-58	5.8098454880395635e-58
96.0ms	2.0934849721943513e-162	5.3009478469091e-159

Results

394.0ms	534×	body	256	valid
48.0ms	30×	body	1024	valid
32.0ms	28×	body	512	valid

Compiler

Compiled 762 to 597 computations (21.7% saved)

regimes217.0ms (0.2%)

Accuracy

Total -25.3b remaining (-69.1%)

Threshold costs -25.3b (-69.1%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

68.0ms	R
49.0ms	phi1
41.0ms	phi2
37.0ms	lambda1
21.0ms	lambda2

Results

Error	Segments	Branch
43.5b	4	`R`
41.8b	2	`lambda1`
44.7b	2	`lambda2`
41.9b	3	`phi1`
36.6b	2	`phi2`

Compiler

Compiled 42 to 33 computations (21.4% saved)

bsearch137.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
137.0ms	6.700528289470227e-5	54.55883489050568

Results

104.0ms	126×	body	256	valid
10.0ms	10×	body	1024	valid
5.0ms	8×	body	512	valid

Compiler

Compiled 216 to 163 computations (24.5% saved)

simplify157.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	329	3730

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) -inf.0) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) 4999999999999999606891439222088170743356359581629103514674898302336536884368180344372105812195669071086632859212554450592370239000406022955616895750847586724854960694891108814617789564851396347504833175725001428207654045160442233287179879902741358285114579838690012111568896) (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (-.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (*.f64 R (-.f64 phi2 phi1))))
(if (<=.f64 (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) -inf.0) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) 4999999999999999606891439222088170743356359581629103514674898302336536884368180344372105812195669071086632859212554450592370239000406022955616895750847586724854960694891108814617789564851396347504833175725001428207654045160442233287179879902741358285114579838690012111568896) (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (/.f64 (-.f64 (+.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (-.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) 2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (.f64 R (-.f64 phi2 phi1))))
(if (<=.f64 (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) -inf.0) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) 4999999999999999606891439222088170743356359581629103514674898302336536884368180344372105812195669071086632859212554450592370239000406022955616895750847586724854960694891108814617789564851396347504833175725001428207654045160442233287179879902741358285114579838690012111568896) (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (.f64 R (-.f64 phi2 phi1))))
(if (<=.f64 phi1 -350000000000000020971520) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 phi1 5016456510113119/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176) (.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 7701500895843123/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (.f64 R phi2) (if (<=.f64 phi1 7717921907136101/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (-.f64 lambda2 lambda1) R)) (.f64 R (-.f64 phi2 phi1))))))
(if (<=.f64 phi1 -169999999999999995805696) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 phi1 8668436849475469/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (-.f64 lambda2 lambda1) R)) (if (<=.f64 phi1 5576948924576055/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (.f64 R phi2) (if (<=.f64 phi1 7717921907136101/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (-.f64 lambda2 lambda1) R)) (.f64 R (-.f64 phi2 phi1))))))
(if (<=.f64 phi1 -74999999999999997972909654016) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 phi1 5016456510113119/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176) (.f64 R (+.f64 lambda2 (.f64 (cos.f64 (.f64 phi1 1/2)) (neg.f64 lambda1)))) (.f64 R (-.f64 phi2 phi1))))
(if (<=.f64 phi1 -1498797955988901/288230376151711744) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 phi1 -6257774519299541/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (.f64 R (.f64 lambda1 (neg.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))) (if (<=.f64 phi1 -1504535092089487/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -5892103094213055/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (if (<=.f64 phi1 -8856227212065807/1968050491570179337085559162931578630651709906891441055118891257892079288351255876848165899096642389501163344805155428792843027262027135257611196407910211298273454174395669565233333102153340134967208776281070666030600772398529804270112502942856537090575466233856) (.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (neg.f64 R)) (if (<=.f64 phi1 586055956014831/13023465689218465379062210528752456635048356098273258125773941038601635230112562639690297267327254474107284981627799297745876565730701884922584679789708652433779604647488309684498199777171511767048759797140403519495489742260696213459304448) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 3184847909140617/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi2)) R)) (*.f64 R (-.f64 phi2 phi1)))))))))
(if (<=.f64 phi1 -7932099951695107/18446744073709551616) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 phi1 -242445077749771/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816) (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (neg.f64 R)) (if (<=.f64 phi1 -7339195571168229/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -6677716840108129/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (if (<=.f64 phi1 -7380189343388173/984025245785089668542779581465789315325854953445720527559445628946039644175627938424082949548321194750581672402577714396421513631013567628805598203955105649136727087197834782616666551076670067483604388140535333015300386199264902135056251471428268545287733116928) (.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (neg.f64 R)) (if (<=.f64 phi1 586055956014831/13023465689218465379062210528752456635048356098273258125773941038601635230112562639690297267327254474107284981627799297745876565730701884922584679789708652433779604647488309684498199777171511767048759797140403519495489742260696213459304448) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 3009873906067871/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi2)) R)) (*.f64 R (-.f64 phi2 phi1)))))))))
(if (<=.f64 phi1 -7932099951695107/18446744073709551616) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 phi1 -18649621365367/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704) (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (neg.f64 R)) (if (<=.f64 phi1 -8807034685401875/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -1964034364737685/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) (if (<=.f64 phi1 -1328434081809871/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232) (.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (neg.f64 R)) (if (<=.f64 phi1 4792635373632395/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 4263988033596151/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi2)) R)) (*.f64 R (-.f64 phi2 phi1)))))))))
(if (<=.f64 phi1 -3458764513820541/4611686018427387904) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 phi1 -6962525309737013/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (neg.f64 R)) (if (<=.f64 phi1 -96326941871583/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -5564764033423441/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) (if (<=.f64 phi1 -3542490884826323/984025245785089668542779581465789315325854953445720527559445628946039644175627938424082949548321194750581672402577714396421513631013567628805598203955105649136727087197834782616666551076670067483604388140535333015300386199264902135056251471428268545287733116928) (.f64 R (-.f64 (.f64 1/4 (.f64 phi2 (.f64 phi1 lambda1))) lambda1)) (if (<=.f64 phi1 4063321295036161/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 2311583159860125/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi2)) R)) (.f64 R (-.f64 phi2 phi1)))))))))
(if (<=.f64 phi1 -3458764513820541/4611686018427387904) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 phi1 -2033776718772351/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 lambda1 (neg.f64 R))) (if (<=.f64 phi1 -8366682951131781/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -253687772111951/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) (if (<=.f64 phi1 -2755270688198251/1968050491570179337085559162931578630651709906891441055118891257892079288351255876848165899096642389501163344805155428792843027262027135257611196407910211298273454174395669565233333102153340134967208776281070666030600772398529804270112502942856537090575466233856) (.f64 R (-.f64 (.f64 1/4 (.f64 phi2 (.f64 phi1 lambda1))) lambda1)) (if (<=.f64 phi1 5001010824659891/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 928044454370927/1254114127528279663858649702758819738757691336351197686075754380957778013777036862877289423055073845679040662969631723812346323072954131093770936672842951023567968290121184491680065097304421119039367020544) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi2)) R)) (.f64 R (-.f64 phi2 phi1)))))))))
(if (<=.f64 phi1 -7932099951695107/18446744073709551616) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 phi1 -130547349557569/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi1 -6972235792609817/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -2749648110632759/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) (if (<=.f64 phi1 -8265812064594753/1968050491570179337085559162931578630651709906891441055118891257892079288351255876848165899096642389501163344805155428792843027262027135257611196407910211298273454174395669565233333102153340134967208776281070666030600772398529804270112502942856537090575466233856) (.f64 R (-.f64 (.f64 1/4 (.f64 phi2 (.f64 phi1 lambda1))) lambda1)) (if (<=.f64 phi1 8751768943154809/208375451027495446064995368460039306160773697572372130012383056617626163681801002235044756277236071585716559706044788763934025051691230158761354876635338438940473674359812954951971196434744188272780156754246456311927835876171139415348871168) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 1695160983897425/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224) (.f64 lambda2 (.f64 (cos.f64 (.f64 1/2 phi2)) R)) (.f64 R (-.f64 phi2 phi1)))))))))
(if (<=.f64 phi1 -7932099951695107/18446744073709551616) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 phi1 -3381798007586549/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi1 -3302638007025703/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -2749648110632759/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) (if (<=.f64 phi1 -1722044180123907/984025245785089668542779581465789315325854953445720527559445628946039644175627938424082949548321194750581672402577714396421513631013567628805598203955105649136727087197834782616666551076670067483604388140535333015300386199264902135056251471428268545287733116928) (.f64 R (-.f64 (.f64 1/4 (.f64 phi2 (.f64 phi1 lambda1))) lambda1)) (if (<=.f64 phi1 7918267139044827/208375451027495446064995368460039306160773697572372130012383056617626163681801002235044756277236071585716559706044788763934025051691230158761354876635338438940473674359812954951971196434744188272780156754246456311927835876171139415348871168) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 3260696731573527/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) (.f64 R (-.f64 phi2 phi1)))))))))
(if (<=.f64 phi1 -8854437155380585/18446744073709551616) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 phi1 -5997033914328727/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi1 -7071782957314403/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -1525239130966889/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232) (.f64 R (neg.f64 lambda1)) (.f64 R (-.f64 phi2 phi1))))))
(if (<=.f64 phi1 -7932099951695107/18446744073709551616) (.f64 (-.f64 (.f64 2 phi2) (+.f64 phi2 phi1)) R) (if (<=.f64 phi1 -5172161658661781/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi1 -1539823708447491/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -7872201966280717/1968050491570179337085559162931578630651709906891441055118891257892079288351255876848165899096642389501163344805155428792843027262027135257611196407910211298273454174395669565233333102153340134967208776281070666030600772398529804270112502942856537090575466233856) (.f64 R (neg.f64 lambda1)) (.f64 R (-.f64 phi2 phi1))))))
(if (<=.f64 phi1 -7932099951695107/18446744073709551616) (-.f64 (.f64 phi2 R) (.f64 R phi1)) (if (<=.f64 phi1 -466240534134175/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi1 -178220336625867/71288134650346800291268306339067051951456695425758748915299883092176174487635584164154887676833928121541286087087412614229511011271491218722697833120659596691437416786879139845044909253853184) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -3345685835669305/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464) (.f64 R (neg.f64 lambda1)) (.f64 R (-.f64 phi2 phi1))))))
(if (<=.f64 phi1 -7932099951695107/18446744073709551616) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -7129625917170701/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi1 -2566372847412485/570305077202774402330146450712536415611653563406069991322399064737409395901084673313239101414671424972330288696699300913836088090171929749781582664965276773531499334295033118760359274030825472) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -8265812064594753/1968050491570179337085559162931578630651709906891441055118891257892079288351255876848165899096642389501163344805155428792843027262027135257611196407910211298273454174395669565233333102153340134967208776281070666030600772398529804270112502942856537090575466233856) (.f64 R (neg.f64 lambda1)) (*.f64 R (-.f64 phi2 phi1))))))
(if (<=.f64 phi2 2572236175320287/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (.f64 R (neg.f64 phi1)) (if (<=.f64 phi2 1696173182187249/14134776518227074636666380005943348126619871175004951664972849610340958208) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi2 2858371882135883/2722258935367507707706996859454145691648) (.f64 R (neg.f64 phi1)) (if (<=.f64 phi2 1044544094588061/5070602400912917605986812821504) (.f64 R phi2) (if (<=.f64 phi2 1936908127739503/18446744073709551616) (.f64 R (neg.f64 lambda1)) (.f64 R phi2))))))
(if (<=.f64 phi2 1936908127739503/18446744073709551616) (.f64 R (neg.f64 lambda1)) (.f64 R phi2))
(*.f64 R phi2)

Outputs
(if (<=.f64 (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) -inf.0) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) 4999999999999999606891439222088170743356359581629103514674898302336536884368180344372105812195669071086632859212554450592370239000406022955616895750847586724854960694891108814617789564851396347504833175725001428207654045160442233287179879902741358285114579838690012111568896) (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 1/2 (/.f64 (-.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 phi1) (sin.f64 phi2))) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (*.f64 R (-.f64 phi2 phi1))))
(if (<=.f64 (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) -inf.0) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) 4999999999999999606891439222088170743356359581629103514674898302336536884368180344372105812195669071086632859212554450592370239000406022955616895750847586724854960694891108814617789564851396347504833175725001428207654045160442233287179879902741358285114579838690012111568896) (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (/.f64 (-.f64 (+.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) (-.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) 2) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (.f64 R (-.f64 phi2 phi1))))
(if (<=.f64 (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) -inf.0) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) 4999999999999999606891439222088170743356359581629103514674898302336536884368180344372105812195669071086632859212554450592370239000406022955616895750847586724854960694891108814617789564851396347504833175725001428207654045160442233287179879902741358285114579838690012111568896) (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (.f64 R (-.f64 phi2 phi1))))
(if (<=.f64 phi1 -350000000000000020971520) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 phi1 5016456510113119/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176) (.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 7701500895843123/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (.f64 R phi2) (if (<=.f64 phi1 7717921907136101/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (-.f64 lambda2 lambda1) R)) (.f64 R (-.f64 phi2 phi1))))))
(if (<=.f64 phi1 -169999999999999995805696) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 phi1 8668436849475469/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (-.f64 lambda2 lambda1) R)) (if (<=.f64 phi1 5576948924576055/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032) (.f64 R phi2) (if (<=.f64 phi1 7717921907136101/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (.f64 (-.f64 lambda2 lambda1) R)) (.f64 R (-.f64 phi2 phi1))))))
(if (<=.f64 phi1 -74999999999999997972909654016) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 phi1 5016456510113119/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176) (.f64 R (+.f64 lambda2 (.f64 (cos.f64 (.f64 phi1 1/2)) (neg.f64 lambda1)))) (.f64 R (-.f64 phi2 phi1))))
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(if (<=.f64 phi1 -7932099951695107/18446744073709551616) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 phi1 -3381798007586549/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi1 -3302638007025703/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -2749648110632759/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) (if (<=.f64 phi1 -1722044180123907/984025245785089668542779581465789315325854953445720527559445628946039644175627938424082949548321194750581672402577714396421513631013567628805598203955105649136727087197834782616666551076670067483604388140535333015300386199264902135056251471428268545287733116928) (.f64 R (-.f64 (.f64 1/4 (.f64 phi2 (.f64 phi1 lambda1))) lambda1)) (if (<=.f64 phi1 7918267139044827/208375451027495446064995368460039306160773697572372130012383056617626163681801002235044756277236071585716559706044788763934025051691230158761354876635338438940473674359812954951971196434744188272780156754246456311927835876171139415348871168) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 3260696731573527/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 phi2)))) (.f64 R (-.f64 phi2 phi1)))))))))
(if (<=.f64 phi1 -8854437155380585/18446744073709551616) (-.f64 (.f64 R (+.f64 phi2 phi2)) (.f64 R (+.f64 phi1 phi2))) (if (<=.f64 phi1 -5997033914328727/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi1 -7071782957314403/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -1525239130966889/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232) (.f64 R (neg.f64 lambda1)) (.f64 R (-.f64 phi2 phi1))))))
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(if (<=.f64 phi2 1936908127739503/18446744073709551616) (.f64 R (neg.f64 lambda1)) (.f64 R phi2))
(*.f64 R phi2)

Compiler

Compiled 1474 to 801 computations (45.7% saved)

soundness1.9s (1.6%)

Algorithm

6×	egg-herbie

Rules

1492×	`rational_best-simplify-55`
1238×	`rational_best-simplify-55`
1238×	`rational_best-simplify-55`
1238×	`rational_best-simplify-55`
1114×	`rational_best-simplify-57`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	20	97
1	39	97
2	84	97
3	179	93
4	516	87
5	2056	81
0	670	17936
1	1833	17394
2	4812	16944
0	707	37662
1	2025	35734
2	4674	33218
0	20	97
1	39	97
2	84	97
3	179	93
4	516	87
5	2056	81
0	20	97
1	39	97
2	84	97
3	179	93
4	516	87
5	2056	81
0	698	21112
1	1937	20586
2	5061	20420

Stop Event

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

Compiler

Compiled 356 to 180 computations (49.4% saved)

end1.5s (1.3%)

Remove: (sort lambda1 lambda2)
Compiler: Compiled 2129 to 938 computations (55.9% saved)