Details

analyze858.0ms (2.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
0%	0%	99.8%	0.2%	0%	0%	0%	9
0%	0%	99.8%	0.2%	0%	0%	0%	10
0.8%	0.8%	99%	0.2%	0%	0%	0%	11
1.2%	1.2%	98.6%	0.2%	0%	0%	0%	12

Compiler

Compiled 38 to 22 computations (42.1% saved)

sample4.2s (12.5%)

Results

1.7s	6701×	body	256	valid
856.0ms	785×	body	1024	valid
673.0ms	2757×	body	256	infinite
329.0ms	456×	body	1024	infinite
328.0ms	765×	body	512	valid
324.0ms	407×	body	512	infinite
7.0ms	5×	body	2048	valid

Bogosity

preprocess190.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1048×	`rational_best-simplify-2`
882×	`rational_best-simplify-46`
756×	`rational_best-simplify-45`
696×	`rational_best-simplify-44`
584×	`rational_best-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	1067
1	193	1067
2	244	1067
3	281	1023
4	385	1023
5	475	1023
6	594	1023
7	935	1023
8	1561	1023
9	2706	1023
10	2967	1023
11	3320	1023
12	4356	1023
13	6885	1023
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

Call 2

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

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

Symmetry

(sort lambda1 lambda2)

Compiler

Compiled 42 to 26 computations (38.1% saved)

simplify101.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1162×	`rational_best-simplify-2`
1068×	`rational_best-simplify-129`
936×	`rational_best-simplify-51`
796×	`rational_best-simplify-1`
672×	`rational_best-simplify-52`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	97
1	28	97
2	33	97
3	37	93
4	52	93
5	65	93
6	84	93
7	124	93
8	194	93
9	322	93
10	582	93
11	851	93
12	1023	93
13	1714	93
14	3413	93
15	6554	93

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

eval2.0ms (0%)

Compiler: Compiled 195 to 85 computations (56.4% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	3	3	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	3	7

Error

37.1b

Counts

7 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.1b	(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
▶	37.1b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
▶	37.1b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

Status

Error

Program

▶

37.1b

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

▶

37.1b

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

▶

37.1b

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

Compiler

Compiled 109 to 67 computations (38.5% saved)

localize54.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
✓	0.3b	(*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))
✓	2.5b	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
✓	33.8b	(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Compiler

Compiled 180 to 72 computations (60% saved)

series23.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

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

rewrite85.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`rational_best-5`
1228×	`rational_best-2`
1228×	`rational_best-3`
1228×	`rational_best-1`
1226×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	186
1	171	186
2	628	186
3	2547	186

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (/.f64 1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 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phi2))))) (sqrt.f64 (.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (/.f64 1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (/.f64 1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))) (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (sqrt.f64 (.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 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simplify221.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1150×	`rational_best-simplify-132`
1050×	`rational_best-simplify-1`
946×	`rational_best-simplify-129`
778×	`rational_best-simplify-43`
660×	`rational_best-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	515	17814
1	1126	16858
2	2042	15670
3	3706	15670

Stop Event

1×	node limit

Counts

220 → 360

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

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

localize63.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))
✓	0.6b	(+.f64 1 (cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2))))
✓	2.3b	(cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))
✓	33.8b	(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Compiler

Compiled 194 to 98 computations (49.5% saved)

series22.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

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

rewrite386.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1222×	`rational_best-2`
1222×	`rational_best-3`
1222×	`rational_best-1`
1220×	`rational_best-5`
1218×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	186
1	183	186
2	611	186
3	2671	186

Stop Event

1×	node limit

Counts

4 → 62

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))) (#(struct:change #<rule 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2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (/.f64 1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (sqrt.f64 (.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (/.f64 1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (/.f64 1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))) (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (sqrt.f64 (.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 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simplify331.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1142×	`rational_best-simplify-47`
702×	`rational_best-simplify-2`
672×	`rational_best-simplify-44`
670×	`rational_best-simplify-1`
526×	`rational_best-simplify-132`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	499	16878
1	1122	16182
2	2213	15222
3	4561	15222
4	7377	15198

Stop Event

1×	node limit

Counts

206 → 345

Calls

Call 1

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

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

localize53.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))
	0.6b	(+.f64 1 (cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2))))
	2.3b	(cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))
✓	33.8b	(sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Compiler

Compiled 185 to 85 computations (54.1% saved)

series10.0ms (0%)

Counts

2 → 96

Calls

24 calls:

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

rewrite80.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1312×	`rational_best-2`
1312×	`rational_best-3`
1312×	`rational_best-1`
1310×	`rational_best-5`
1308×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	146
1	185	146
2	623	146
3	2764	146

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs

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

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

Outputs

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simplify290.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1430×	`rational_best-simplify-80`
1280×	`rational_best-simplify-78`
854×	`rational_best-simplify-1`
748×	`rational_best-simplify-47`
734×	`rational_best-simplify-132`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	474	16966
1	1064	16428
2	1955	15006
3	3291	14852
4	6379	14828

Stop Event

1×	node limit

Counts

142 → 323

Calls

Call 1

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

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

eval1.9s (5.7%)

Compiler: Compiled 70544 to 41061 computations (41.8% saved)

prune1.0s (3%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	1154	31	1185
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	1157	31	1188

Error

3.9b

Counts

1188 → 31

Alt Table

Click to see full alt table

Status	Error	Program
▶	55.2b	(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (neg.f64 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))
	47.3b	(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
	46.9b	(*.f64 R (+.f64 phi1 (neg.f64 phi2)))
	47.1b	(.f64 R (.f64 (*.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))))))
▶	33.2b	(.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
	33.2b	(.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (+.f64 (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2))) (.f64 -1 (*.f64 lambda1 (sqrt.f64 1/2))))))
	55.2b	(.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 (.f64 -1 lambda2) lambda1)))
	40.3b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1))))
	51.1b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))
▶	58.5b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
	47.1b	(.f64 R (.f64 lambda2 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (sqrt.f64 1/2))))
	47.0b	(.f64 R (.f64 lambda2 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))))))
	58.4b	(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
	50.6b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
▶	38.8b	(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 (+.f64 1 (cos.f64 phi1)) (.f64 (neg.f64 phi2) (sin.f64 phi1))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	41.5b	(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (+.f64 (.f64 (sin.f64 phi1) (+.f64 (neg.f64 phi2) (.f64 (pow.f64 phi2 3) 1/6))) (+.f64 (cos.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 phi1)))))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	39.6b	(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (+.f64 (.f64 (neg.f64 phi2) (sin.f64 phi1)) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 phi1)))))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.1b	(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (+.f64 phi1 phi2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	39.6b	(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi2)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	38.3b	(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	39.6b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (+.f64 (.f64 (sin.f64 phi1) (.f64 phi2 (.f64 -1/2 (-.f64 lambda1 lambda2)))) (+.f64 (.f64 1/2 (.f64 (-.f64 lambda1 lambda2) (+.f64 1 (cos.f64 phi1)))) (.f64 (cos.f64 phi1) (.f64 (-.f64 lambda1 lambda2) (.f64 -1/4 (pow.f64 phi2 2))))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	38.3b	(.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)))))
	41.5b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (neg.f64 phi2))) (.f64 (pow.f64 phi2 3) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) 1/6)))))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	41.5b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (neg.f64 phi2))) (.f64 (pow.f64 phi2 3) (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))) 1/6))) (+.f64 (.f64 (pow.f64 phi2 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 (cos.f64 (.f64 1/2 phi1)) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.1b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (/.f64 (/.f64 1 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	47.9b	(.f64 R (neg.f64 (.f64 lambda1 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (sqrt.f64 1/2)))))
	47.7b	(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi2 phi1))))))))
	55.3b	(*.f64 R (neg.f64 phi2))
	55.7b	(*.f64 R (neg.f64 phi1))
	53.1b	(*.f64 R phi2)
▶	53.7b	(*.f64 R phi1)

Compiler

Compiled 1792 to 1254 computations (30% saved)

localize103.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 lambda1 (sqrt.f64 1/2))
✓	0.4b	(*.f64 lambda2 (sqrt.f64 1/2))
✓	0.6b	(+.f64 1 (cos.f64 (+.f64 phi2 phi1)))
✓	2.3b	(cos.f64 (+.f64 phi2 phi1))

Compiler

Compiled 100 to 64 computations (36% saved)

series7.0ms (0%)

Counts

4 → 60

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	lambda1	@	0	(/.f64 lambda1 (sqrt.f64 1/2))
0.0ms	lambda2	@	0	(*.f64 lambda2 (sqrt.f64 1/2))
0.0ms	lambda1	@	inf	(/.f64 lambda1 (sqrt.f64 1/2))
0.0ms	lambda1	@	-inf	(/.f64 lambda1 (sqrt.f64 1/2))
0.0ms	lambda2	@	inf	(*.f64 lambda2 (sqrt.f64 1/2))

rewrite269.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	128	50
2	462	50
3	2046	50

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

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

simplify311.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1246×	`rational_best-simplify-80`
1144×	`rational_best-simplify-78`
1090×	`rational_best-simplify-94`
884×	`rational_best-simplify-135`
882×	`rational_best-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	203	2434
1	454	2358
2	1315	2358
3	4493	2358

Stop Event

1×	node limit

Counts

136 → 146

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 21 computations (50% saved)

series10.0ms (0%)

Counts

3 → 48

Calls

27 calls:

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

rewrite115.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1316×	`rational_best-simplify-57`
750×	`rational_best-5`
750×	`rational_best-2`
750×	`rational_best-1`
748×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	111	69
2	372	69
3	1615	69
4	6530	69

Stop Event

1×	node limit

Counts

3 → 44

Calls

Call 1

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

Outputs

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

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

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

simplify264.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1422×	`rational_best-simplify-80`
1394×	`rational_best-simplify-54`
1308×	`rational_best-simplify-78`
1006×	`rational_best-simplify-44`
684×	`rational_best-simplify-48`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	191	3610
1	452	3386
2	939	3216
3	2253	3216
4	5083	2944

Stop Event

1×	node limit

Counts

92 → 145

Calls

Call 1

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

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (neg.f64 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))
	0.2b	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)
✓	0.2b	(.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
	2.5b	(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))

Compiler

Compiled 88 to 46 computations (47.7% saved)

series10.0ms (0%)

Counts

2 → 76

Calls

24 calls:

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

rewrite57.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`rational_best-5`
926×	`rational_best-2`
926×	`rational_best-3`
926×	`rational_best-1`
924×	`rational_best-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	84
1	147	84
2	482	84
3	2026	62

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

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

Outputs

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

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

simplify167.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1484×	`rational_best-simplify-47`
1390×	`rational_best-simplify-80`
1252×	`rational_best-simplify-78`
930×	`rational_best-simplify-2`
860×	`rational_best-simplify-82`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	165	4262
1	377	4028
2	718	3794
3	1388	3762
4	3443	3566
5	6301	3566

Stop Event

1×	node limit

Counts

94 → 115

Calls

Call 1

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

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

localize44.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(.f64 (/.f64 (+.f64 (+.f64 1 (cos.f64 phi1)) (.f64 (neg.f64 phi2) (sin.f64 phi1))) 2) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))
✓	1.7b	(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 (+.f64 1 (cos.f64 phi1)) (.f64 (neg.f64 phi2) (sin.f64 phi1))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
✓	5.6b	(+.f64 (.f64 (/.f64 (+.f64 (+.f64 1 (cos.f64 phi1)) (.f64 (neg.f64 phi2) (sin.f64 phi1))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))
✓	27.3b	(sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 (+.f64 1 (cos.f64 phi1)) (.f64 (neg.f64 phi2) (sin.f64 phi1))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Compiler

Compiled 177 to 55 computations (68.9% saved)

series136.0ms (0.4%)

Counts

4 → 204

Calls

51 calls:

Time	Variable		Point	Expression
97.0ms	lambda1	@	0	(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 (+.f64 1 (cos.f64 phi1)) (.f64 (neg.f64 phi2) (sin.f64 phi1))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
3.0ms	R	@	0	(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 (+.f64 1 (cos.f64 phi1)) (.f64 (neg.f64 phi2) (sin.f64 phi1))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
2.0ms	lambda2	@	inf	(sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 (+.f64 1 (cos.f64 phi1)) (.f64 (neg.f64 phi2) (sin.f64 phi1))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
2.0ms	lambda1	@	0	(sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 (+.f64 1 (cos.f64 phi1)) (.f64 (neg.f64 phi2) (sin.f64 phi1))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
2.0ms	phi1	@	0	(sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 (+.f64 1 (cos.f64 phi1)) (.f64 (neg.f64 phi2) (sin.f64 phi1))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite243.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1512×	`rational_best-5`
1510×	`rational_best-4`
1510×	`rational_best-2`
1510×	`rational_best-3`
1510×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	330
1	217	330
2	736	330
3	3143	330

Stop Event

1×	node limit

Counts

4 → 42

Calls

Call 1

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

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

simplify999.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1236×	`rational_best-simplify-132`
1058×	`rational_best-simplify-1`
914×	`rational_best-simplify-2`
892×	`rational_best-simplify-44`
828×	`rational_best-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	623	37194
1	1455	36666
2	2754	33064
3	4382	33064
4	5614	33064

Stop Event

1×	node limit

Counts

246 → 606

Calls

Call 1

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

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

eval1.3s (3.9%)

Compiler: Compiled 59375 to 34734 computations (41.5% saved)

prune359.0ms (1.1%)

Pruning

49 alts after pruning (48 fresh and 1 done)

	Pruned	Kept	Total
New	1134	34	1168
Fresh	12	14	26
Picked	1	0	1
Done	3	1	4
Total	1150	49	1199

Error

0.4b

Counts

1199 → 49

Alt Table

Click to see full alt table

Status	Error	Program
	60.4b	(+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 lambda1))) R) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1)) lambda1))))
	59.0b	(+.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (pow.f64 phi2 2) R) -1/8) R)) (.f64 R (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (+.f64 (.f64 phi2 -1/2) (*.f64 1/48 (pow.f64 phi2 3))))))
	47.3b	(+.f64 (.f64 phi2 R) (.f64 R (neg.f64 phi1)))
	58.7b	(.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))) R)
	60.3b	(.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (*.f64 -1/2 lambda1)))) R)
	49.3b	(.f64 (.f64 lambda2 R) (sqrt.f64 (.f64 1/2 (+.f64 (.f64 (neg.f64 phi2) (sin.f64 phi1)) (+.f64 1 (cos.f64 phi1))))))
	58.4b	(.f64 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))) (neg.f64 lambda2))
	60.1b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda1 R))
▶	58.7b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda1 lambda2)))
	60.1b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 R))
	58.4b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (-.f64 lambda1 lambda2)))
	55.3b	(*.f64 phi2 (neg.f64 R))
▶	53.1b	(*.f64 phi2 R)
	55.7b	(*.f64 phi1 (neg.f64 R))
	49.4b	(.f64 lambda2 (.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (neg.f64 (.f64 phi2 (sin.f64 phi1)))))) (.f64 (sqrt.f64 1/2) R)))
	60.5b	(.f64 R (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (+.f64 (.f64 phi2 -1/2) (.f64 1/48 (pow.f64 phi2 3)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1))))))
	60.4b	(.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (*.f64 -1/8 lambda1))))))
	55.2b	(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (neg.f64 (.f64 lambda2 (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) 2) (/.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))))))
	58.8b	(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (*.f64 phi2 -1/2))))
	47.3b	(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
	46.9b	(*.f64 R (+.f64 phi1 (neg.f64 phi2)))
	60.4b	(.f64 R (.f64 (+.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 -1/8 (pow.f64 phi2 2)))) lambda1))
	60.5b	(.f64 R (.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/8 (pow.f64 phi2 2))) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/48 (pow.f64 phi2 3)))))) lambda1))
	60.2b	(.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2))) lambda1))
	58.5b	(.f64 R (.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) 2) (/.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) lambda1))
	47.1b	(.f64 R (.f64 (*.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))))))
	38.6b	(.f64 R (.f64 (sqrt.f64 (+.f64 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2))) (+.f64 (.f64 (cos.f64 phi1) (.f64 -1/2 (pow.f64 phi2 2))) 1))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
	38.7b	(.f64 R (.f64 (sqrt.f64 (+.f64 (cos.f64 phi2) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
▶	36.3b	(.f64 R (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
▶	29.5b	(.f64 R (.f64 (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
	33.2b	(.f64 R (.f64 (sqrt.f64 (+.f64 1 (.f64 (/.f64 1 (cos.f64 (+.f64 phi2 phi1))) (.f64 (cos.f64 (+.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1)))))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
	33.2b	(.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (/.f64 1 (/.f64 lambda1 (sqrt.f64 1/2)))))))))
	33.2b	(.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (+.f64 (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2))) (.f64 -1 (*.f64 lambda1 (sqrt.f64 1/2))))))
	40.3b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1))))
	51.1b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))
	60.1b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
	60.1b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
	49.4b	(.f64 R (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 (.f64 (neg.f64 phi2) (sin.f64 phi1)) (+.f64 1 (cos.f64 phi1)))))))
	47.0b	(.f64 R (.f64 lambda2 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))))))
	50.6b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
	40.8b	(.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.1b	(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (+.f64 phi1 phi2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	39.6b	(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi2)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
▶	38.3b	(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.1b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (/.f64 (/.f64 1 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	47.9b	(.f64 R (neg.f64 (.f64 lambda1 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (sqrt.f64 1/2)))))
	50.1b	(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 1/2 (+.f64 (.f64 (neg.f64 phi2) (sin.f64 phi1)) (+.f64 1 (cos.f64 phi1))))))))
	47.7b	(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi2 phi1))))))))
✓	53.7b	(*.f64 R phi1)

Compiler

Compiled 2386 to 1766 computations (26% saved)

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2)))))
	0.4b	(/.f64 lambda1 (sqrt.f64 1/2))
	0.4b	(*.f64 lambda2 (sqrt.f64 1/2))
✓	0.5b	(+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))

Compiler

Compiled 150 to 69 computations (54% saved)

series26.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	phi2	@	-inf	(+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))
2.0ms	lambda2	@	-inf	(.f64 (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2)))))
1.0ms	lambda2	@	0	(.f64 (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2)))))
1.0ms	lambda1	@	0	(.f64 (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2)))))
1.0ms	phi2	@	0	(.f64 (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2)))))

rewrite67.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1620×	`rational_best-4`
1620×	`rational_best-2`
1620×	`rational_best-3`
1620×	`rational_best-1`
1620×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	76
1	222	76
2	782	76
3	3444	76

Stop Event

1×	node limit

Counts

2 → 21

Calls

Call 1

Inputs

(+.f64 1 (-.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 phi1))))

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

Outputs

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

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

simplify224.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1022×	`rational_best-simplify-2`
876×	`rational_best-simplify-43`
844×	`rational_best-simplify-80`
764×	`rational_best-simplify-78`
750×	`rational_best-simplify-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	164	7305
1	372	7233
2	729	7159
3	1534	6903
4	4008	6903
5	6729	5079

Stop Event

1×	node limit

Counts

93 → 113

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize14.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 17 computations (51.4% saved)

series8.0ms (0%)

Counts

2 → 72

Calls

21 calls:

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

rewrite111.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1316×	`rational_best-simplify-57`
752×	`rational_best-5`
752×	`rational_best-2`
752×	`rational_best-3`
752×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	110	42
2	374	42
3	1626	42
4	6543	42

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

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

Outputs

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

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

simplify162.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1712×	`rational_best-simplify-80`
1572×	`rational_best-simplify-78`
1038×	`rational_best-simplify-44`
1018×	`rational_best-simplify-82`
950×	`rational_best-simplify-132`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	2918
1	153	2810
2	343	2642
3	833	2252
4	3124	2252
5	5806	2252

Stop Event

1×	node limit

Counts

90 → 63

Calls

Call 1

Inputs
(*.f64 R (-.f64 lambda1 lambda2))
(+.f64 (.f64 -1/8 (.f64 R (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2)))) (.f64 R (-.f64 lambda1 lambda2)))
(+.f64 (.f64 -1/8 (.f64 R (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2)))) (+.f64 (.f64 R (-.f64 lambda1 lambda2)) (.f64 1/384 (.f64 R (*.f64 (pow.f64 phi2 4) (-.f64 lambda1 lambda2))))))
(+.f64 (.f64 -1/8 (.f64 R (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2)))) (+.f64 (.f64 R (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/46080 (.f64 R (.f64 (pow.f64 phi2 6) (-.f64 lambda1 lambda2)))) (.f64 1/384 (.f64 R (.f64 (pow.f64 phi2 4) (-.f64 lambda1 lambda2)))))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(.f64 -1 (.f64 lambda2 R))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(*.f64 R lambda1)
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(*.f64 R lambda1)
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(*.f64 R lambda1)
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(.f64 -1 (.f64 lambda2 R))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(.f64 -1 (.f64 lambda2 R))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda1 lambda2))) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda1 lambda2))))
(-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda1 lambda2))) 0)
(-.f64 0 (neg.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda1 lambda2)))))
(/.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda1 lambda2))) 1)
(/.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 R (-.f64 lambda1 lambda2))) (/.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 R (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda1 lambda2)))))
(/.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 (-.f64 lambda1 lambda2) (+.f64 R R))) 2)
(pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda1 lambda2))) 1)
(neg.f64 (neg.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda1 lambda2)))))
(+.f64 (*.f64 R (-.f64 lambda1 lambda2)) 0)
(+.f64 0 (*.f64 R (-.f64 lambda1 lambda2)))
(-.f64 (*.f64 R (-.f64 lambda1 lambda2)) 0)
(-.f64 0 (neg.f64 (*.f64 R (-.f64 lambda1 lambda2))))
(/.f64 (*.f64 R (-.f64 lambda1 lambda2)) 1)
(/.f64 (.f64 R (-.f64 lambda1 lambda2)) (/.f64 (.f64 R (-.f64 lambda1 lambda2)) (*.f64 R (-.f64 lambda1 lambda2))))
(/.f64 (*.f64 (-.f64 lambda1 lambda2) (+.f64 R R)) 2)
(pow.f64 (*.f64 R (-.f64 lambda1 lambda2)) 1)
(neg.f64 (neg.f64 (*.f64 R (-.f64 lambda1 lambda2))))

Outputs
(*.f64 R (-.f64 lambda1 lambda2))
(+.f64 (.f64 -1/8 (.f64 R (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2)))) (.f64 R (-.f64 lambda1 lambda2)))
(+.f64 (.f64 R (-.f64 lambda1 lambda2)) (.f64 R (.f64 -1/8 (.f64 (-.f64 lambda1 lambda2) (pow.f64 phi2 2)))))
(.f64 R (+.f64 (.f64 -1/8 (*.f64 (-.f64 lambda1 lambda2) (pow.f64 phi2 2))) (-.f64 lambda1 lambda2)))
(.f64 R (+.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (*.f64 -1/8 (pow.f64 phi2 2)))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (+.f64 (*.f64 -1/8 (pow.f64 phi2 2)) 1))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (+.f64 1 (*.f64 -1/8 (pow.f64 phi2 2))))
(+.f64 (.f64 -1/8 (.f64 R (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2)))) (+.f64 (.f64 R (-.f64 lambda1 lambda2)) (.f64 1/384 (.f64 R (*.f64 (pow.f64 phi2 4) (-.f64 lambda1 lambda2))))))
(+.f64 (.f64 R (.f64 -1/8 (.f64 (-.f64 lambda1 lambda2) (pow.f64 phi2 2)))) (+.f64 (.f64 R (-.f64 lambda1 lambda2)) (.f64 R (.f64 1/384 (*.f64 (-.f64 lambda1 lambda2) (pow.f64 phi2 4))))))
(+.f64 (.f64 R (.f64 -1/8 (.f64 (-.f64 lambda1 lambda2) (pow.f64 phi2 2)))) (.f64 R (+.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 1/384 (pow.f64 phi2 4))))))
(.f64 R (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 1/384 (pow.f64 phi2 4))) (+.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (*.f64 -1/8 (pow.f64 phi2 2))))))
(.f64 R (+.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 (.f64 1/384 (pow.f64 phi2 4)) (.f64 -1/8 (pow.f64 phi2 2))))))
(+.f64 (.f64 -1/8 (.f64 R (.f64 (pow.f64 phi2 2) (-.f64 lambda1 lambda2)))) (+.f64 (.f64 R (-.f64 lambda1 lambda2)) (+.f64 (.f64 -1/46080 (.f64 R (.f64 (pow.f64 phi2 6) (-.f64 lambda1 lambda2)))) (.f64 1/384 (.f64 R (.f64 (pow.f64 phi2 4) (-.f64 lambda1 lambda2)))))))
(+.f64 (.f64 R (.f64 -1/8 (.f64 (-.f64 lambda1 lambda2) (pow.f64 phi2 2)))) (+.f64 (.f64 R (-.f64 lambda1 lambda2)) (+.f64 (.f64 R (.f64 1/384 (.f64 (-.f64 lambda1 lambda2) (pow.f64 phi2 4)))) (.f64 R (.f64 -1/46080 (.f64 (-.f64 lambda1 lambda2) (pow.f64 phi2 6)))))))
(+.f64 (.f64 R (+.f64 (.f64 -1/8 (.f64 (-.f64 lambda1 lambda2) (pow.f64 phi2 2))) (-.f64 lambda1 lambda2))) (.f64 R (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 -1/46080 (pow.f64 phi2 6))) (.f64 (-.f64 lambda1 lambda2) (.f64 1/384 (pow.f64 phi2 4))))))
(.f64 R (+.f64 (.f64 (-.f64 lambda1 lambda2) (+.f64 (.f64 -1/46080 (pow.f64 phi2 6)) (.f64 1/384 (pow.f64 phi2 4)))) (+.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 -1/8 (pow.f64 phi2 2))))))
(.f64 R (+.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 (.f64 -1/8 (pow.f64 phi2 2)) (+.f64 (.f64 1/384 (pow.f64 phi2 4)) (*.f64 -1/46080 (pow.f64 phi2 6)))))))
(.f64 R (+.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 (.f64 1/384 (pow.f64 phi2 4)) (+.f64 (.f64 -1/46080 (pow.f64 phi2 6)) (*.f64 -1/8 (pow.f64 phi2 2)))))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))))
(.f64 -1 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2)))))
(neg.f64 (.f64 R (.f64 lambda2 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 R)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(+.f64 (neg.f64 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda2 -1))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (+.f64 lambda1 (neg.f64 lambda2))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(+.f64 (neg.f64 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda2 -1))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (+.f64 lambda1 (neg.f64 lambda2))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(+.f64 (neg.f64 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda2 -1))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (+.f64 lambda1 (neg.f64 lambda2))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(+.f64 (neg.f64 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda2 -1))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (+.f64 lambda1 (neg.f64 lambda2))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(+.f64 (neg.f64 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda2 -1))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (+.f64 lambda1 (neg.f64 lambda2))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(+.f64 (neg.f64 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda2 -1))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (+.f64 lambda1 (neg.f64 lambda2))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(+.f64 (neg.f64 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda2 -1))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (+.f64 lambda1 (neg.f64 lambda2))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
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(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda2 -1))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (+.f64 lambda1 (neg.f64 lambda2))))
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(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda2 -1))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (+.f64 lambda1 (neg.f64 lambda2))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2))))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R lambda1))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
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(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda2 -1))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (+.f64 lambda1 (neg.f64 lambda2))))
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(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda2 -1))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (+.f64 lambda1 (neg.f64 lambda2))))
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(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda2 -1))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (+.f64 lambda1 (neg.f64 lambda2))))
(.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))))
(.f64 -1 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2)))))
(neg.f64 (.f64 R (.f64 lambda2 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 R)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda2)))
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(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda2 -1))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (+.f64 lambda1 (neg.f64 lambda2))))
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(+.f64 (neg.f64 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda2 -1))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (+.f64 lambda1 (neg.f64 lambda2))))
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(+.f64 (neg.f64 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda2 -1))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (+.f64 lambda1 (neg.f64 lambda2))))
(.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2)))))
(.f64 -1 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2)))))
(neg.f64 (.f64 R (.f64 lambda2 (cos.f64 (*.f64 phi2 1/2)))))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 R)))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 lambda2)))
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(+.f64 (.f64 -1 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(+.f64 (neg.f64 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda2 -1))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (+.f64 lambda1 (neg.f64 lambda2))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(+.f64 (neg.f64 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda2 -1))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (+.f64 lambda1 (neg.f64 lambda2))))
(+.f64 (.f64 -1 (.f64 lambda2 (.f64 R (cos.f64 (.f64 1/2 phi2))))) (.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1)))
(+.f64 (.f64 -1 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (*.f64 phi2 1/2)))))
(+.f64 (neg.f64 (.f64 R (.f64 lambda2 (cos.f64 (.f64 phi2 1/2))))) (.f64 R (.f64 lambda1 (cos.f64 (.f64 phi2 1/2)))))
(.f64 R (+.f64 (.f64 lambda1 (cos.f64 (.f64 phi2 1/2))) (.f64 (cos.f64 (.f64 phi2 1/2)) (.f64 lambda2 -1))))
(.f64 R (.f64 (cos.f64 (*.f64 phi2 1/2)) (+.f64 lambda1 (neg.f64 lambda2))))
(.f64 -1 (.f64 lambda2 R))
(.f64 lambda2 (.f64 -1 R))
(neg.f64 (*.f64 R lambda2))
(*.f64 lambda2 (neg.f64 R))
(*.f64 R (neg.f64 lambda2))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 lambda2 (.f64 -1 R)) (*.f64 R lambda1))
(+.f64 (neg.f64 (.f64 R lambda2)) (.f64 R lambda1))
(.f64 R (+.f64 (.f64 lambda2 -1) lambda1))
(*.f64 R (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 lambda2 (.f64 -1 R)) (*.f64 R lambda1))
(+.f64 (neg.f64 (.f64 R lambda2)) (.f64 R lambda1))
(.f64 R (+.f64 (.f64 lambda2 -1) lambda1))
(*.f64 R (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 lambda2 (.f64 -1 R)) (*.f64 R lambda1))
(+.f64 (neg.f64 (.f64 R lambda2)) (.f64 R lambda1))
(.f64 R (+.f64 (.f64 lambda2 -1) lambda1))
(*.f64 R (+.f64 lambda1 (neg.f64 lambda2)))
(*.f64 R lambda1)
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 lambda2 (.f64 -1 R)) (*.f64 R lambda1))
(+.f64 (neg.f64 (.f64 R lambda2)) (.f64 R lambda1))
(.f64 R (+.f64 (.f64 lambda2 -1) lambda1))
(*.f64 R (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 lambda2 (.f64 -1 R)) (*.f64 R lambda1))
(+.f64 (neg.f64 (.f64 R lambda2)) (.f64 R lambda1))
(.f64 R (+.f64 (.f64 lambda2 -1) lambda1))
(*.f64 R (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 lambda2 (.f64 -1 R)) (*.f64 R lambda1))
(+.f64 (neg.f64 (.f64 R lambda2)) (.f64 R lambda1))
(.f64 R (+.f64 (.f64 lambda2 -1) lambda1))
(*.f64 R (+.f64 lambda1 (neg.f64 lambda2)))
(*.f64 R lambda1)
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 lambda2 (.f64 -1 R)) (*.f64 R lambda1))
(+.f64 (neg.f64 (.f64 R lambda2)) (.f64 R lambda1))
(.f64 R (+.f64 (.f64 lambda2 -1) lambda1))
(*.f64 R (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 lambda2 (.f64 -1 R)) (*.f64 R lambda1))
(+.f64 (neg.f64 (.f64 R lambda2)) (.f64 R lambda1))
(.f64 R (+.f64 (.f64 lambda2 -1) lambda1))
(*.f64 R (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 lambda2 (.f64 -1 R)) (*.f64 R lambda1))
(+.f64 (neg.f64 (.f64 R lambda2)) (.f64 R lambda1))
(.f64 R (+.f64 (.f64 lambda2 -1) lambda1))
(*.f64 R (+.f64 lambda1 (neg.f64 lambda2)))
(*.f64 R lambda1)
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 lambda2 (.f64 -1 R)) (*.f64 R lambda1))
(+.f64 (neg.f64 (.f64 R lambda2)) (.f64 R lambda1))
(.f64 R (+.f64 (.f64 lambda2 -1) lambda1))
(*.f64 R (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 lambda2 (.f64 -1 R)) (*.f64 R lambda1))
(+.f64 (neg.f64 (.f64 R lambda2)) (.f64 R lambda1))
(.f64 R (+.f64 (.f64 lambda2 -1) lambda1))
(*.f64 R (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
(+.f64 (.f64 lambda2 (.f64 -1 R)) (*.f64 R lambda1))
(+.f64 (neg.f64 (.f64 R lambda2)) (.f64 R lambda1))
(.f64 R (+.f64 (.f64 lambda2 -1) lambda1))
(*.f64 R (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 -1 (.f64 lambda2 R))
(.f64 lambda2 (.f64 -1 R))
(neg.f64 (*.f64 R lambda2))
(*.f64 lambda2 (neg.f64 R))
(*.f64 R (neg.f64 lambda2))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
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(+.f64 (neg.f64 (.f64 R lambda2)) (.f64 R lambda1))
(.f64 R (+.f64 (.f64 lambda2 -1) lambda1))
(*.f64 R (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
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(.f64 R (+.f64 (.f64 lambda2 -1) lambda1))
(*.f64 R (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
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(+.f64 (neg.f64 (.f64 R lambda2)) (.f64 R lambda1))
(.f64 R (+.f64 (.f64 lambda2 -1) lambda1))
(*.f64 R (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 -1 (.f64 lambda2 R))
(.f64 lambda2 (.f64 -1 R))
(neg.f64 (*.f64 R lambda2))
(*.f64 lambda2 (neg.f64 R))
(*.f64 R (neg.f64 lambda2))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
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(+.f64 (neg.f64 (.f64 R lambda2)) (.f64 R lambda1))
(.f64 R (+.f64 (.f64 lambda2 -1) lambda1))
(*.f64 R (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
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(+.f64 (neg.f64 (.f64 R lambda2)) (.f64 R lambda1))
(.f64 R (+.f64 (.f64 lambda2 -1) lambda1))
(*.f64 R (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 -1 (.f64 lambda2 R)) (*.f64 R lambda1))
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(+.f64 (neg.f64 (.f64 R lambda2)) (.f64 R lambda1))
(.f64 R (+.f64 (.f64 lambda2 -1) lambda1))
(*.f64 R (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda1 lambda2))) 0)
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(+.f64 0 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda1 lambda2))))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda1 lambda2))) 0)
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(-.f64 0 (neg.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda1 lambda2)))))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(/.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda1 lambda2))) 1)
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(/.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 R (-.f64 lambda1 lambda2))) (/.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 R (-.f64 lambda1 lambda2))) (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda1 lambda2)))))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(/.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 (-.f64 lambda1 lambda2) (+.f64 R R))) 2)
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda1 lambda2))) 1)
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(neg.f64 (neg.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda1 lambda2)))))
(.f64 R (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 phi2 1/2))))
(.f64 (.f64 R (-.f64 lambda1 lambda2)) (cos.f64 (*.f64 phi2 1/2)))
(+.f64 (*.f64 R (-.f64 lambda1 lambda2)) 0)
(*.f64 R (-.f64 lambda1 lambda2))
(+.f64 0 (*.f64 R (-.f64 lambda1 lambda2)))
(*.f64 R (-.f64 lambda1 lambda2))
(-.f64 (*.f64 R (-.f64 lambda1 lambda2)) 0)
(*.f64 R (-.f64 lambda1 lambda2))
(-.f64 0 (neg.f64 (*.f64 R (-.f64 lambda1 lambda2))))
(*.f64 R (-.f64 lambda1 lambda2))
(/.f64 (*.f64 R (-.f64 lambda1 lambda2)) 1)
(*.f64 R (-.f64 lambda1 lambda2))
(/.f64 (.f64 R (-.f64 lambda1 lambda2)) (/.f64 (.f64 R (-.f64 lambda1 lambda2)) (*.f64 R (-.f64 lambda1 lambda2))))
(*.f64 R (-.f64 lambda1 lambda2))
(/.f64 (*.f64 (-.f64 lambda1 lambda2) (+.f64 R R)) 2)
(*.f64 R (-.f64 lambda1 lambda2))
(pow.f64 (*.f64 R (-.f64 lambda1 lambda2)) 1)
(*.f64 R (-.f64 lambda1 lambda2))
(neg.f64 (neg.f64 (*.f64 R (-.f64 lambda1 lambda2))))
(*.f64 R (-.f64 lambda1 lambda2))

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
✓	0.1b	(.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))
✓	0.4b	(+.f64 1 (cos.f64 phi1))
✓	33.8b	(sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Compiler

Compiled 128 to 44 computations (65.6% saved)

series30.0ms (0.1%)

Counts

4 → 148

Calls

39 calls:

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

rewrite73.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1332×	`rational_best-simplify-54`
1204×	`rational_best-5`
1204×	`rational_best-2`
1204×	`rational_best-3`
1204×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	196
1	174	196
2	570	196
3	2484	196

Stop Event

1×	node limit

Counts

4 → 47

Calls

Call 1

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

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

simplify375.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1284×	`rational_best-simplify-44`
1172×	`rational_best-simplify-47`
868×	`rational_best-simplify-2`
866×	`rational_best-simplify-1`
646×	`rational_best-simplify-132`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	567	21817
1	1305	21239
2	2888	19555
3	5308	19555
4	7426	19555

Stop Event

1×	node limit

Counts

195 → 433

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (*.f64 phi1 phi2))) (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi1 phi2))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) phi2)) 2)))))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi1 phi2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3))) (.f64 (pow.f64 phi1 3) (.f64 (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) phi2)) 2)) phi2)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) phi2)) 2))))))))
phi1
(+.f64 (*.f64 -1 phi2) phi1)
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 -1 phi2) 2)) phi1)) (+.f64 (*.f64 -1 phi2) phi1))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (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 (+.f64 (pow.f64 phi2 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (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 -1/4 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) (+.f64 (*.f64 -1 phi1) phi2))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) (+.f64 (.f64 -1 phi1) (+.f64 phi2 (.f64 -1/4 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (.f64 phi2 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2))))))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (sqrt.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (+.f64 1 (cos.f64 phi1)) lambda1)))))
(+.f64 (sqrt.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (+.f64 1 (cos.f64 phi1)) lambda1)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2)))) (*.f64 lambda2 (+.f64 1 (cos.f64 phi1))))) 2)) (pow.f64 lambda1 2))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (+.f64 1 (cos.f64 phi1)) lambda1)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2)) 3))) (.f64 (-.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (+.f64 1 (cos.f64 phi1))))) 2)) (.f64 lambda2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 3)))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))) (pow.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (+.f64 1 (cos.f64 phi1))))) 2)) (pow.f64 lambda1 2)))))))
(.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))) (.f64 -1/2 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 1/2 (.f64 (/.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1/2 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) 2)) (*.f64 (sqrt.f64 1/2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1))))))))
(+.f64 (.f64 1/4 (.f64 (/.f64 (.f64 lambda2 (-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1/2 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) 2))) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 lambda1 2))) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) (+.f64 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 1/2 (.f64 (/.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 -1/2 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) 2)) (*.f64 (sqrt.f64 1/2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 1/2 (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 1/2 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) 2)) (.f64 (sqrt.f64 1/2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) (+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 1/2 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))))
(+.f64 (.f64 -1/4 (.f64 (/.f64 (.f64 lambda2 (-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 1/2 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) 2))) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 lambda1 2))) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2)) (pow.f64 (.f64 1/2 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) 2)) (.f64 (sqrt.f64 1/2) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) (+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 1/2 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))))
(sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2))))) (.f64 -1/2 (.f64 (.f64 lambda2 (.f64 (+.f64 1 (cos.f64 phi1)) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2))))) (+.f64 (.f64 -1/2 (.f64 (.f64 lambda2 (.f64 (+.f64 1 (cos.f64 phi1)) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)))))))) (.f64 1/2 (.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))) (pow.f64 (.f64 -1/2 (.f64 (.f64 (+.f64 1 (cos.f64 phi1)) lambda1) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)))))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 1/2 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2))))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2))))) (+.f64 (.f64 -1/2 (.f64 (.f64 lambda2 (.f64 (+.f64 1 (cos.f64 phi1)) lambda1)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)))))))) (+.f64 (.f64 1/4 (.f64 (.f64 (pow.f64 lambda2 3) (.f64 (-.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))) (pow.f64 (.f64 -1/2 (.f64 (.f64 (+.f64 1 (cos.f64 phi1)) lambda1) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)))))))) 2)) (.f64 (+.f64 1 (cos.f64 phi1)) lambda1))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)))) 3))))) (.f64 1/2 (.f64 (.f64 (pow.f64 lambda2 2) (-.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))) (pow.f64 (.f64 -1/2 (.f64 (.f64 (+.f64 1 (cos.f64 phi1)) lambda1) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)))))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)))))))))))
(.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)))) (pow.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) 2)) (.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (*.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 1/4 (.f64 (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)))) (pow.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) 2)) lambda1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 lambda2 2))) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)))) (pow.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) 2)) (.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (*.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 1/2 (*.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)))) (pow.f64 (.f64 1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) 2)) (.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) (.f64 1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))))
(+.f64 (.f64 -1/4 (.f64 (/.f64 (.f64 lambda1 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)))) (pow.f64 (.f64 1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) 2))) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 lambda2 2))) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) (+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)))) (pow.f64 (.f64 1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) 2)) (.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) (.f64 1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))))
(sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))) (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2)))))) 2)) (pow.f64 phi2 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2)))))) (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))
(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))) 2)) (.f64 phi1 (pow.f64 phi2 3))) (+.f64 (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2)))))) 2)) (pow.f64 phi2 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2)))))) (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))
phi2
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 (.f64 -1 phi1) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (*.f64 -1 phi1) 2)) phi2)) phi2))
(+.f64 (.f64 -1 phi1) (+.f64 (.f64 1/2 (/.f64 (.f64 phi1 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 -1 phi1) 2))) (pow.f64 phi2 2))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 -1 phi1) 2)) phi2)) phi2)))
(*.f64 -1 phi2)
(+.f64 phi1 (*.f64 -1 phi2))
(+.f64 phi1 (+.f64 (.f64 -1 phi2) (.f64 -1/4 (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 phi1 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi2 2))) (+.f64 phi1 (+.f64 (.f64 -1 phi2) (.f64 -1/4 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 phi1 2)))
(+.f64 2 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 (.f64 -1/720 (pow.f64 phi1 6)) (+.f64 2 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (*.f64 -1/2 (pow.f64 phi1 2)))))
(pow.f64 (-.f64 lambda1 lambda2) 2)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (-.f64 lambda1 lambda2) 2))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi1 4) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi1 4) (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (.f64 -1/1440 (.f64 (pow.f64 phi1 6) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))
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(*.f64 1 (+.f64 1 (cos.f64 phi1)))
(*.f64 (+.f64 1 (cos.f64 phi1)) 1)
(*.f64 (+.f64 1 (cos.f64 phi1)) (/.f64 (+.f64 1 (cos.f64 phi1)) (+.f64 1 (cos.f64 phi1))))
(.f64 (+.f64 1 (cos.f64 phi1)) (.f64 (+.f64 1 (cos.f64 phi1)) (/.f64 1 (+.f64 1 (cos.f64 phi1)))))
(*.f64 (+.f64 1 (cos.f64 phi1)) (/.f64 1 (/.f64 (+.f64 1 (cos.f64 phi1)) (+.f64 1 (cos.f64 phi1)))))
(*.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) (+.f64 1 (cos.f64 phi1))) (+.f64 1 (cos.f64 phi1)))
(.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1))) (.f64 (+.f64 1 (cos.f64 phi1)) (+.f64 1 (cos.f64 phi1))))
(.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (+.f64 1 (cos.f64 phi1))) (/.f64 1 (+.f64 1 (cos.f64 phi1))))
(.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (/.f64 1 (+.f64 1 (cos.f64 phi1)))) (+.f64 1 (cos.f64 phi1)))
(.f64 (/.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1))) (.f64 (+.f64 1 (cos.f64 phi1)) (+.f64 1 (cos.f64 phi1)))) (.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (+.f64 1 (cos.f64 phi1))) (*.f64 (+.f64 1 (cos.f64 phi1)) (+.f64 1 (cos.f64 phi1)))))
(/.f64 (+.f64 1 (cos.f64 phi1)) 1)
(/.f64 (+.f64 1 (cos.f64 phi1)) (/.f64 (+.f64 1 (cos.f64 phi1)) (+.f64 1 (cos.f64 phi1))))
(/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) 2) 2)
(pow.f64 (+.f64 1 (cos.f64 phi1)) 1)
(+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) 0)
(+.f64 0 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))))
(-.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) 0)
(/.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) 1)
(/.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (/.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))))
(/.f64 (.f64 2 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)))) 2)
(pow.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) 1)
(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R) 0)
(+.f64 0 (.f64 (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R))
(-.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R) 0)
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R) 1)
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R) (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R) (.f64 (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) (+.f64 R R)) 2)
(pow.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R) 1)

Outputs
(sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (*.f64 phi1 phi2))) (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -1 (*.f64 phi2 phi1))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 (neg.f64 phi1))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi1 phi2))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) phi2)) 2)))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 phi1 2) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4)) (pow.f64 (.f64 -1 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -1 (*.f64 phi2 phi1)))))
(+.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 phi2 (neg.f64 phi1))) (.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)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (neg.f64 phi2)) 2)) (*.f64 1/2 (pow.f64 phi1 2))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 phi2 (neg.f64 phi1)) (.f64 (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4)) (pow.f64 (.f64 phi2 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2)) (.f64 1/2 (pow.f64 phi1 2))))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi1 phi2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3))) (.f64 (pow.f64 phi1 3) (.f64 (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) phi2)) 2)) phi2)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) phi2)) 2))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -1 (.f64 phi2 phi1))) (+.f64 (.f64 1/2 (.f64 (pow.f64 phi1 2) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4)) (pow.f64 (.f64 -1 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 1/2 (.f64 (pow.f64 phi1 3) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3))) (.f64 phi2 (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4)) (pow.f64 (.f64 -1 (.f64 phi2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2)))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 (neg.f64 phi1))) (+.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 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (neg.f64 phi2)) 2)) (.f64 1/2 (pow.f64 phi1 2)))) (.f64 1/2 (.f64 (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (neg.f64 phi2)) 2)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3))) (*.f64 phi2 (pow.f64 phi1 3))))))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 phi2 (neg.f64 phi1)) (.f64 (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4)) (pow.f64 (.f64 phi2 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2)) (.f64 1/2 (pow.f64 phi1 2)))))) (.f64 1/2 (.f64 (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/4)) (pow.f64 (.f64 phi2 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))) 2)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) 3))) (.f64 phi2 (pow.f64 phi1 3))))))
phi1
(+.f64 (*.f64 -1 phi2) phi1)
(+.f64 phi1 (*.f64 phi2 -1))
(+.f64 phi1 (neg.f64 phi2))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 -1 phi2) 2)) phi1)) (+.f64 (*.f64 -1 phi2) phi1))
(+.f64 (+.f64 phi1 (.f64 phi2 -1)) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))))) (pow.f64 (*.f64 phi2 -1) 2)) phi1)))
(+.f64 (+.f64 phi1 (neg.f64 phi2)) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (*.f64 1/2 (+.f64 1 (cos.f64 phi1))))) (pow.f64 (neg.f64 phi2) 2)) phi1)))
(+.f64 phi1 (+.f64 (neg.f64 phi2) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (*.f64 1/2 (+.f64 1 (cos.f64 phi1))))) (pow.f64 (neg.f64 phi2) 2)) phi1))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (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 (+.f64 (pow.f64 phi2 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 -1 phi2) 2)) phi2) (pow.f64 phi1 2))))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))))) (pow.f64 (.f64 phi2 -1) 2)) phi1)) (+.f64 (.f64 1/2 (/.f64 (.f64 phi2 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))))) (pow.f64 (.f64 phi2 -1) 2))) (pow.f64 phi1 2))) (+.f64 phi1 (.f64 phi2 -1))))
(+.f64 (neg.f64 phi2) (+.f64 (+.f64 phi1 (.f64 1/2 (/.f64 (.f64 phi2 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))) (pow.f64 (neg.f64 phi2) 2))) (pow.f64 phi1 2)))) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (*.f64 1/2 (+.f64 1 (cos.f64 phi1))))) (pow.f64 (neg.f64 phi2) 2)) phi1))))
(+.f64 (+.f64 phi1 (neg.f64 phi2)) (.f64 1/2 (+.f64 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))) (pow.f64 (neg.f64 phi2) 2)) phi1) (/.f64 (.f64 phi2 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))) (pow.f64 (neg.f64 phi2) 2))) (pow.f64 phi1 2)))))
(*.f64 -1 phi1)
(neg.f64 phi1)
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 phi2 (*.f64 -1 phi1))
(+.f64 phi2 (neg.f64 phi1))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) (+.f64 (*.f64 -1 phi1) phi2))
(+.f64 (+.f64 phi2 (.f64 -1 phi1)) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))) phi1)))
(+.f64 (neg.f64 phi1) (+.f64 phi2 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))) phi1))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) (+.f64 (.f64 -1 phi1) (+.f64 phi2 (.f64 -1/4 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (.f64 phi2 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))) phi1)) (+.f64 (.f64 -1/4 (/.f64 (.f64 phi2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 phi1 2))) (+.f64 phi2 (.f64 -1 phi1))))
(+.f64 (neg.f64 phi1) (+.f64 (+.f64 phi2 (.f64 -1/4 (/.f64 (.f64 phi2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 phi1 2)))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))) phi1))))
(+.f64 (+.f64 phi2 (neg.f64 phi1)) (.f64 -1/4 (+.f64 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))) phi1) (/.f64 (.f64 phi2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 phi1 2)))))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2)))
(sqrt.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda2 2))) (pow.f64 (-.f64 phi1 phi2) 2)))
(sqrt.f64 (+.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (.f64 1/2 (pow.f64 lambda2 2))) (pow.f64 (-.f64 phi1 phi2) 2)))
(+.f64 (sqrt.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (+.f64 1 (cos.f64 phi1)) lambda1)))))
(+.f64 (sqrt.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda2 2))) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda2 2))) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 -1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (.f64 lambda2 lambda1)))))
(+.f64 (sqrt.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda2 2))) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda2 2))) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 -1/2 (.f64 lambda1 (+.f64 1 (cos.f64 phi1)))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (.f64 1/2 (pow.f64 lambda2 2))) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (.f64 1/2 (pow.f64 lambda2 2))) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 -1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (.f64 lambda1 lambda2)))))
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(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1)))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))) (.f64 phi2 (neg.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 (cos.f64 phi1))))))) (.f64 (pow.f64 phi2 2) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))) (neg.f64 phi1)) 2)))))))
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(+.f64 (.f64 -1 (.f64 (.f64 phi1 phi2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))) 2)) (.f64 phi1 (pow.f64 phi2 3))) (+.f64 (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 1 (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2)))))) 2)) (pow.f64 phi2 2)) (sqrt.f64 (/.f64 1 (+.f64 (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2)))))) (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))
(+.f64 (.f64 -1 (.f64 (.f64 phi2 phi1) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1)))))) (+.f64 (.f64 (.f64 (pow.f64 phi2 2) (-.f64 1 (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))))))))) 2))) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))))))))) (.f64 (/.f64 (.f64 phi1 (.f64 (-.f64 1 (pow.f64 (.f64 -1 (.f64 phi1 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))))))))) 2)) (pow.f64 phi2 3))) (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1)))))) (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))))))))))))
(+.f64 (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))) (/.f64 (.f64 phi1 (.f64 (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))) (neg.f64 phi1)) 2)) (pow.f64 phi2 3))) (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (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 (cos.f64 phi1))))))) (.f64 (pow.f64 phi2 2) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))) (neg.f64 phi1)) 2)))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (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 (cos.f64 phi1))))))) (.f64 phi2 (neg.f64 phi1)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1)))))) (.f64 (.f64 phi2 phi1) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (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 (cos.f64 phi1)))))))) (+.f64 (.f64 (pow.f64 phi2 2) (-.f64 1 (pow.f64 (.f64 phi1 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))))) 2))) (/.f64 (.f64 phi1 (.f64 (-.f64 1 (pow.f64 (.f64 phi1 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))))) 2)) (pow.f64 phi2 3))) (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (*.f64 1/2 (+.f64 1 (cos.f64 phi1)))))))))
phi2
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 phi2 (*.f64 -1 phi1))
(+.f64 phi2 (neg.f64 phi1))
(+.f64 (.f64 -1 phi1) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (*.f64 -1 phi1) 2)) phi2)) phi2))
(+.f64 phi2 (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))))) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (*.f64 -1 phi1)))
(+.f64 phi2 (+.f64 (neg.f64 phi1) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (*.f64 1/2 (+.f64 1 (cos.f64 phi1))))) (pow.f64 (neg.f64 phi1) 2)) phi2))))
(+.f64 (.f64 -1 phi1) (+.f64 (.f64 1/2 (/.f64 (.f64 phi1 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 -1 phi1) 2))) (pow.f64 phi2 2))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (.f64 -1 phi1) 2)) phi2)) phi2)))
(+.f64 (.f64 -1 phi1) (+.f64 phi2 (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))))) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (.f64 1/2 (/.f64 (.f64 phi1 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))))) (pow.f64 (.f64 -1 phi1) 2))) (pow.f64 phi2 2))))))
(+.f64 (neg.f64 phi1) (+.f64 phi2 (.f64 1/2 (+.f64 (/.f64 (.f64 phi1 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))) (pow.f64 (neg.f64 phi1) 2))) (pow.f64 phi2 2)) (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))) (pow.f64 (neg.f64 phi1) 2)) phi2)))))
(+.f64 (+.f64 phi2 (neg.f64 phi1)) (.f64 1/2 (+.f64 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))) (pow.f64 (neg.f64 phi1) 2)) phi2) (/.f64 (.f64 phi1 (-.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))) (pow.f64 (neg.f64 phi1) 2))) (pow.f64 phi2 2)))))
(*.f64 -1 phi2)
(*.f64 phi2 -1)
(neg.f64 phi2)
(+.f64 phi1 (*.f64 -1 phi2))
(+.f64 phi1 (*.f64 phi2 -1))
(+.f64 phi1 (neg.f64 phi2))
(+.f64 phi1 (+.f64 (.f64 -1 phi2) (.f64 -1/4 (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))) phi2)) (+.f64 phi1 (*.f64 phi2 -1)))
(+.f64 phi1 (+.f64 (neg.f64 phi2) (.f64 -1/4 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))) phi2))))
(+.f64 (+.f64 phi1 (neg.f64 phi2)) (.f64 -1/4 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))) phi2)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 phi1 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi2 2))) (+.f64 phi1 (+.f64 (.f64 -1 phi2) (.f64 -1/4 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)))))
(+.f64 (+.f64 (.f64 phi2 -1) (.f64 -1/4 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))) phi2))) (+.f64 phi1 (.f64 -1/4 (/.f64 (.f64 phi1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1)))) (pow.f64 phi2 2)))))
(+.f64 phi1 (+.f64 (+.f64 (neg.f64 phi2) (.f64 -1/4 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))) phi2))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (*.f64 phi1 (+.f64 1 (cos.f64 phi1)))) (pow.f64 phi2 2)))))
(+.f64 (+.f64 phi1 (neg.f64 phi2)) (.f64 -1/4 (+.f64 (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 phi1 (+.f64 1 (cos.f64 phi1)))) (pow.f64 phi2 2)) (/.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))) phi2))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 phi1 2)))
(+.f64 2 (*.f64 (pow.f64 phi1 2) -1/2))
(+.f64 2 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 (.f64 (pow.f64 phi1 2) -1/2) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) 2))
(+.f64 2 (+.f64 (.f64 (pow.f64 phi1 2) -1/2) (.f64 1/24 (pow.f64 phi1 4))))
(+.f64 (.f64 -1/720 (pow.f64 phi1 6)) (+.f64 2 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (*.f64 -1/2 (pow.f64 phi1 2)))))
(+.f64 (+.f64 (.f64 (pow.f64 phi1 2) -1/2) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) 2)) (*.f64 -1/720 (pow.f64 phi1 6)))
(+.f64 (+.f64 2 (.f64 1/24 (pow.f64 phi1 4))) (+.f64 (.f64 (pow.f64 phi1 2) -1/2) (*.f64 -1/720 (pow.f64 phi1 6))))
(pow.f64 (-.f64 lambda1 lambda2) 2)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (-.f64 lambda1 lambda2) 2))
(+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/4 (pow.f64 (.f64 (-.f64 lambda1 lambda2) phi1) 2)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi1 4) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 phi1 4) (.f64 1/48 (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 -1/4 (pow.f64 (.f64 (-.f64 lambda1 lambda2) phi1) 2))))
(+.f64 (.f64 -1/4 (pow.f64 (.f64 (-.f64 lambda1 lambda2) phi1) 2)) (+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/48 (pow.f64 phi1 4)))))
(+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/48 (pow.f64 phi1 4)) (*.f64 (pow.f64 phi1 2) -1/4))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 phi1 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi1 4) (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (.f64 -1/1440 (.f64 (pow.f64 phi1 6) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(+.f64 (.f64 -1/4 (pow.f64 (.f64 (-.f64 lambda1 lambda2) phi1) 2)) (+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 phi1 6) (.f64 -1/1440 (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (pow.f64 phi1 4) (.f64 1/48 (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (.f64 -1/4 (pow.f64 (.f64 (-.f64 lambda1 lambda2) phi1) 2)) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/48 (pow.f64 phi1 4))) (+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/1440 (pow.f64 phi1 6))))))
(+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 -1/1440 (pow.f64 phi1 6)) (.f64 1/48 (pow.f64 phi1 4)))) (.f64 -1/4 (pow.f64 (*.f64 (-.f64 lambda1 lambda2) phi1) 2))))
(.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(.f64 1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))))
(.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))
(.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(.f64 1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))))
(.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))
(.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(.f64 1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))))
(.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))
(.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(.f64 1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))))
(.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))
(.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(.f64 1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))))
(.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))
(.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(.f64 1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))))
(.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))
(.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(.f64 1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))))
(.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))
(.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(.f64 1/2 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1))))
(.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/2 (+.f64 1 (cos.f64 phi1))))
(.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))))
(.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda2 2)))
(.f64 (+.f64 1 (cos.f64 phi1)) (.f64 1/2 (pow.f64 lambda2 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (.f64 -1 (.f64 lambda2 (*.f64 (+.f64 1 (cos.f64 phi1)) lambda1))))
(+.f64 (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda2 2))) (.f64 lambda2 (.f64 -1 (*.f64 lambda1 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda2 2))) (neg.f64 (.f64 lambda1 (.f64 lambda2 (+.f64 1 (cos.f64 phi1))))))
(.f64 (+.f64 1 (cos.f64 phi1)) (+.f64 (.f64 -1 (.f64 lambda1 lambda2)) (.f64 1/2 (pow.f64 lambda2 2))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (+.f64 (.f64 -1 (.f64 lambda2 (.f64 (+.f64 1 (cos.f64 phi1)) lambda1))) (.f64 1/2 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)))))
(+.f64 (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda2 2))) (+.f64 (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2))) (.f64 lambda2 (.f64 -1 (*.f64 lambda1 (+.f64 1 (cos.f64 phi1)))))))
(+.f64 (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda2 2))) (+.f64 (.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2))) (neg.f64 (.f64 lambda1 (.f64 lambda2 (+.f64 1 (cos.f64 phi1)))))))
(+.f64 (.f64 lambda2 (neg.f64 (.f64 lambda1 (+.f64 1 (cos.f64 phi1))))) (.f64 (+.f64 1 (cos.f64 phi1)) (+.f64 (.f64 1/2 (pow.f64 lambda1 2)) (*.f64 1/2 (pow.f64 lambda2 2)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1)))) (+.f64 (.f64 -1 (.f64 lambda2 (.f64 (+.f64 1 (cos.f64 phi1)) lambda1))) (.f64 1/2 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)))))
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(.f64 1/2 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)))
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(*.f64 phi1 (neg.f64 R))
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(.f64 (.f64 (sqrt.f64 1/2) (*.f64 lambda2 R)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (.f64 lambda2 (*.f64 (sqrt.f64 1/2) R)))
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(pow.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) R) 1)
(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 phi1)) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 86 to 63 computations (26.7% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite119.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`rational_best-2`
882×	`rational_best-3`
882×	`rational_best-1`
880×	`rational_best-4`
880×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	64
1	148	64
2	458	64
3	1953	64
4	7728	64

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

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

Outputs

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

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

simplify274.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1808×	`rational_best-simplify-132`
832×	`rational_best-simplify-2`
672×	`rational_best-simplify-78`
630×	`rational_best-simplify-24`
534×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	3520
1	227	3520
2	615	3436
3	1484	3436
4	3313	3436
5	7177	3436

Stop Event

1×	node limit

Counts

78 → 62

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 phi1 2)))
(+.f64 2 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 (.f64 -1/720 (pow.f64 phi1 6)) (+.f64 2 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (*.f64 -1/2 (pow.f64 phi1 2)))))
(+.f64 1 (cos.f64 phi1))
(+.f64 1 (cos.f64 phi1))
(+.f64 1 (cos.f64 phi1))
(+.f64 1 (cos.f64 phi1))
(+.f64 1 (cos.f64 phi1))
(+.f64 1 (cos.f64 phi1))
(+.f64 1 (cos.f64 phi1))
(+.f64 1 (cos.f64 phi1))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2))) (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 4) (.f64 (-.f64 1/24 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)))) (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (sqrt.f64 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 1/24 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))) 1/720) (.f64 (pow.f64 phi1 6) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)))) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 4) (.f64 (-.f64 1/24 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)))) (sqrt.f64 2))))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)))
(.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))) (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))) (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))) (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))) (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))) (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))) (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))) (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))) (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))) (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(-.f64 (cos.f64 phi1) -1)
(-.f64 (+.f64 (cos.f64 phi1) 1) 0)
(-.f64 0 (-.f64 -1 (cos.f64 phi1)))
(*.f64 1 (+.f64 (cos.f64 phi1) 1))
(*.f64 (+.f64 (cos.f64 phi1) 1) 1)
(*.f64 (+.f64 (cos.f64 phi1) 1) (/.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1)))
(.f64 (+.f64 (cos.f64 phi1) 1) (.f64 (+.f64 (cos.f64 phi1) 1) (/.f64 1 (+.f64 (cos.f64 phi1) 1))))
(*.f64 (+.f64 (cos.f64 phi1) 1) (/.f64 1 (/.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1))))
(*.f64 (/.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1)) (+.f64 (cos.f64 phi1) 1))
(.f64 (/.f64 1 (+.f64 (cos.f64 phi1) 1)) (.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1)))
(.f64 (.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1)) (/.f64 1 (+.f64 (cos.f64 phi1) 1)))
(.f64 (.f64 (+.f64 (cos.f64 phi1) 1) (/.f64 1 (+.f64 (cos.f64 phi1) 1))) (+.f64 (cos.f64 phi1) 1))
(.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) 1)) (.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1))) (.f64 (.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1)) (*.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1))))
(.f64 (/.f64 (/.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1)) (+.f64 (cos.f64 phi1) 1)) (.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1)))
(.f64 (/.f64 (.f64 (+.f64 (cos.f64 phi1) 1) (/.f64 1 (+.f64 (cos.f64 phi1) 1))) (+.f64 (cos.f64 phi1) 1)) (*.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1)))
(/.f64 (+.f64 (cos.f64 phi1) 1) 1)
(/.f64 (+.f64 (cos.f64 phi1) 1) (/.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1)))
(/.f64 (-.f64 (*.f64 (cos.f64 phi1) 2) -2) 2)
(/.f64 (+.f64 2 (*.f64 (cos.f64 phi1) 2)) 2)
(pow.f64 (+.f64 (cos.f64 phi1) 1) 1)
(neg.f64 (-.f64 -1 (cos.f64 phi1)))
(+.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))) 0)
(+.f64 0 (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
(-.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))) 0)
(-.f64 0 (neg.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))) 1)
(/.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))) (/.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (.f64 (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2)))) 2)) 2)
(pow.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))) 1)
(neg.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2)))))))

Outputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 phi1 2)))
(+.f64 2 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (.f64 -1/2 (pow.f64 phi1 2))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 1/24 (pow.f64 phi1 4))))
(+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 2 (.f64 1/24 (pow.f64 phi1 4))))
(+.f64 (.f64 -1/720 (pow.f64 phi1 6)) (+.f64 2 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (*.f64 -1/2 (pow.f64 phi1 2)))))
(+.f64 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (.f64 1/24 (pow.f64 phi1 4))) (+.f64 2 (*.f64 -1/720 (pow.f64 phi1 6))))
(+.f64 (+.f64 2 (.f64 1/24 (pow.f64 phi1 4))) (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (*.f64 -1/720 (pow.f64 phi1 6))))
(+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 2 (*.f64 -1/720 (pow.f64 phi1 6)))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 phi1 2)) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (*.f64 -1/720 (pow.f64 phi1 6)))))
(+.f64 1 (cos.f64 phi1))
(+.f64 1 (cos.f64 phi1))
(+.f64 1 (cos.f64 phi1))
(+.f64 1 (cos.f64 phi1))
(+.f64 1 (cos.f64 phi1))
(+.f64 1 (cos.f64 phi1))
(+.f64 1 (cos.f64 phi1))
(+.f64 1 (cos.f64 phi1))
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2))) (sqrt.f64 2))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 4) (.f64 (-.f64 1/24 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)))) (sqrt.f64 2)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 4) (.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)) (-.f64 1/24 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)))) (sqrt.f64 2))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)) (.f64 (pow.f64 phi1 4) (-.f64 1/24 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)))) (sqrt.f64 2)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (sqrt.f64 2))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)) (.f64 (pow.f64 phi1 4) (-.f64 1/24 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)))) (sqrt.f64 2)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (sqrt.f64 2))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 4) (.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)) (-.f64 1/24 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)))) (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (sqrt.f64 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 1/24 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))) 1/720) (.f64 (pow.f64 phi1 6) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)))) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 4) (.f64 (-.f64 1/24 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)))) (sqrt.f64 2))))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 4) (.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)) (-.f64 1/24 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)))) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 1/24 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) 2)) 1/720) (.f64 (pow.f64 phi1 6) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)))) (sqrt.f64 2)))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (sqrt.f64 2)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)) (.f64 (pow.f64 phi1 4) (-.f64 1/24 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)))) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)) (.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 1/24 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) 2)) 1/720) (pow.f64 phi1 6))) (sqrt.f64 2))))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)) (.f64 (pow.f64 phi1 4) (-.f64 1/24 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)))) (sqrt.f64 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 1/24 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) 2)) 1/720) (.f64 (pow.f64 phi1 6) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)))) (sqrt.f64 2))))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2))) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 4) (.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)) (-.f64 1/24 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)))) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 phi1 6) (.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)) (+.f64 (.f64 -1/4 (/.f64 (-.f64 1/24 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) 2)) 1/720))) (sqrt.f64 2))))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)))
(.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)))
(.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)))
(.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)))
(.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)))
(.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)))
(.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)))
(.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)))
(.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))) (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))) (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))) (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
(.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
(.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
(.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
(.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))) (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))) (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))) (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
(.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))) (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))) (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))) (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
(-.f64 (cos.f64 phi1) -1)
(+.f64 1 (cos.f64 phi1))
(-.f64 (+.f64 (cos.f64 phi1) 1) 0)
(+.f64 1 (cos.f64 phi1))
(-.f64 0 (-.f64 -1 (cos.f64 phi1)))
(+.f64 1 (cos.f64 phi1))
(*.f64 1 (+.f64 (cos.f64 phi1) 1))
(+.f64 1 (cos.f64 phi1))
(*.f64 (+.f64 (cos.f64 phi1) 1) 1)
(+.f64 1 (cos.f64 phi1))
(*.f64 (+.f64 (cos.f64 phi1) 1) (/.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1)))
(+.f64 1 (cos.f64 phi1))
(.f64 (+.f64 (cos.f64 phi1) 1) (.f64 (+.f64 (cos.f64 phi1) 1) (/.f64 1 (+.f64 (cos.f64 phi1) 1))))
(+.f64 1 (cos.f64 phi1))
(*.f64 (+.f64 (cos.f64 phi1) 1) (/.f64 1 (/.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1))))
(+.f64 1 (cos.f64 phi1))
(*.f64 (/.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1)) (+.f64 (cos.f64 phi1) 1))
(+.f64 1 (cos.f64 phi1))
(.f64 (/.f64 1 (+.f64 (cos.f64 phi1) 1)) (.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1)))
(+.f64 1 (cos.f64 phi1))
(.f64 (.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1)) (/.f64 1 (+.f64 (cos.f64 phi1) 1)))
(+.f64 1 (cos.f64 phi1))
(.f64 (.f64 (+.f64 (cos.f64 phi1) 1) (/.f64 1 (+.f64 (cos.f64 phi1) 1))) (+.f64 (cos.f64 phi1) 1))
(+.f64 1 (cos.f64 phi1))
(.f64 (/.f64 (/.f64 1 (+.f64 (cos.f64 phi1) 1)) (.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1))) (.f64 (.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1)) (*.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1))))
(+.f64 1 (cos.f64 phi1))
(.f64 (/.f64 (/.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1)) (+.f64 (cos.f64 phi1) 1)) (.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1)))
(+.f64 1 (cos.f64 phi1))
(.f64 (/.f64 (.f64 (+.f64 (cos.f64 phi1) 1) (/.f64 1 (+.f64 (cos.f64 phi1) 1))) (+.f64 (cos.f64 phi1) 1)) (*.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1)))
(+.f64 1 (cos.f64 phi1))
(/.f64 (+.f64 (cos.f64 phi1) 1) 1)
(+.f64 1 (cos.f64 phi1))
(/.f64 (+.f64 (cos.f64 phi1) 1) (/.f64 (+.f64 (cos.f64 phi1) 1) (+.f64 (cos.f64 phi1) 1)))
(+.f64 1 (cos.f64 phi1))
(/.f64 (-.f64 (*.f64 (cos.f64 phi1) 2) -2) 2)
(+.f64 1 (cos.f64 phi1))
(/.f64 (+.f64 2 (*.f64 (cos.f64 phi1) 2)) 2)
(+.f64 1 (cos.f64 phi1))
(pow.f64 (+.f64 (cos.f64 phi1) 1) 1)
(+.f64 1 (cos.f64 phi1))
(neg.f64 (-.f64 -1 (cos.f64 phi1)))
(+.f64 1 (cos.f64 phi1))
(+.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))) 0)
(.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(+.f64 0 (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
(.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(-.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))) 0)
(.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(-.f64 0 (neg.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2)))))))
(.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))) 1)
(.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))) (/.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2)))))))
(.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (.f64 (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2)))) 2)) 2)
(.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(pow.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))) 1)
(.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(neg.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2)))))))
(.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))

eval535.0ms (1.6%)

Compiler: Compiled 34379 to 22563 computations (34.4% saved)

prune237.0ms (0.7%)

Pruning

54 alts after pruning (49 fresh and 5 done)

	Pruned	Kept	Total
New	709	18	727
Fresh	12	31	43
Picked	1	0	1
Done	0	5	5
Total	722	54	776

Error

0.4b

Counts

776 → 54

Alt Table

Click to see full alt table

Status	Error	Program
	60.4b	(+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 lambda1))) R) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1)) lambda1))))
	59.0b	(+.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (pow.f64 phi2 2) R) -1/8) R)) (.f64 R (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (+.f64 (.f64 phi2 -1/2) (*.f64 1/48 (pow.f64 phi2 3))))))
	47.3b	(+.f64 (.f64 phi2 R) (.f64 R (neg.f64 phi1)))
▶	60.3b	(.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (*.f64 -1/2 lambda1)))) R)
	48.6b	(.f64 (.f64 (sqrt.f64 1/2) (*.f64 lambda2 R)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
	48.5b	(.f64 (.f64 lambda2 R) (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 phi1)))))
	58.4b	(.f64 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))) (neg.f64 lambda2))
	55.3b	(*.f64 (neg.f64 phi2) R)
	60.1b	(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R lambda1))
	58.7b	(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 (neg.f64 (.f64 R lambda2)) (.f64 R lambda1)))
	60.2b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda2 (neg.f64 R)))
✓	58.7b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda1 lambda2)))
	60.1b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 R))
▶	58.4b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (-.f64 lambda1 lambda2)))
✓	53.1b	(*.f64 phi2 R)
▶	55.7b	(*.f64 phi1 (neg.f64 R))
	49.4b	(.f64 lambda2 (.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (neg.f64 (.f64 phi2 (sin.f64 phi1)))))) (.f64 (sqrt.f64 1/2) R)))
	60.3b	(.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 R)))
	60.5b	(.f64 R (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (+.f64 (.f64 phi2 -1/2) (.f64 1/48 (pow.f64 phi2 3)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1))))))
▶	60.4b	(.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (*.f64 -1/8 lambda1))))))
	58.8b	(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (*.f64 phi2 -1/2))))
	38.4b	(.f64 R (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))) (.f64 (+.f64 (.f64 -1/6 (sin.f64 phi1)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 phi1) (-.f64 (.f64 -1/2 (cos.f64 phi1)) (pow.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) 2))) (+.f64 1 (cos.f64 phi1))))) (.f64 (pow.f64 phi2 3) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 phi1)) (pow.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) 2)) (.f64 (pow.f64 phi2 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)))) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 phi1) (.f64 phi2 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)))) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)))))))
	47.3b	(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
	46.9b	(*.f64 R (+.f64 phi1 (neg.f64 phi2)))
	46.0b	(.f64 R (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))
	49.2b	(.f64 R (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (*.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
	60.4b	(.f64 R (.f64 (+.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 -1/8 (pow.f64 phi2 2)))) lambda1))
	38.7b	(.f64 R (.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (+.f64 1 (cos.f64 phi2)))))
	60.2b	(.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2))) lambda1))
	58.5b	(.f64 R (.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) 2) (/.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) lambda1))
	47.1b	(.f64 R (.f64 (*.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))))))
	38.6b	(.f64 R (.f64 (sqrt.f64 (+.f64 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2))) (+.f64 (.f64 (cos.f64 phi1) (.f64 -1/2 (pow.f64 phi2 2))) 1))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
✓	29.5b	(.f64 R (.f64 (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
▶	36.4b	(.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2))) (.f64 -1 (*.f64 lambda1 (sqrt.f64 1/2))))))
	41.8b	(.f64 R (.f64 (sqrt.f64 2) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
	40.3b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1))))
	51.1b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))
	60.1b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
	60.1b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
	45.1b	(.f64 R (.f64 lambda2 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 1/2))))
	49.4b	(.f64 R (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 (.f64 (neg.f64 phi2) (sin.f64 phi1)) (+.f64 1 (cos.f64 phi1)))))))
	47.0b	(.f64 R (.f64 lambda2 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))))))
	48.5b	(.f64 R (.f64 lambda2 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
	50.6b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
	39.6b	(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi2)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
✓	38.3b	(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	40.8b	(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 2 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.1b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (/.f64 (/.f64 1 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	47.9b	(.f64 R (neg.f64 (.f64 lambda1 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (sqrt.f64 1/2)))))
	49.4b	(.f64 R (neg.f64 (.f64 lambda1 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (sqrt.f64 1/2)))))
	50.1b	(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 1/2 (+.f64 (.f64 (neg.f64 phi2) (sin.f64 phi1)) (+.f64 1 (cos.f64 phi1))))))))
	47.7b	(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi2 phi1))))))))
	49.2b	(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 phi1)))))))
✓	53.7b	(*.f64 R phi1)

Compiler

Compiled 2524 to 1901 computations (24.7% saved)

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2))) (.f64 -1 (.f64 lambda1 (sqrt.f64 1/2)))))
	0.4b	(+.f64 1 (cos.f64 phi1))
✓	0.5b	(/.f64 lambda2 (sqrt.f64 1/2))
✓	0.5b	(*.f64 lambda1 (sqrt.f64 1/2))

Compiler

Compiled 98 to 74 computations (24.5% saved)

series7.0ms (0%)

Counts

3 → 48

Calls

15 calls:

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

rewrite62.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`rational_best-2`
930×	`rational_best-1`
926×	`rational_best-3`
924×	`rational_best-4`
924×	`exponential-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	81
1	157	79
2	494	79
3	2113	79

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

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

Outputs

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

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

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

simplify206.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1008×	`rational_best-simplify-2`
776×	`rational_best-simplify-132`
588×	`rational_best-simplify-1`
518×	`rational_best-simplify-49`
512×	`rational_best-simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	4231
1	331	4111
2	759	4011
3	1758	4011
4	3212	4011
5	6086	4011

Stop Event

1×	node limit

Counts

105 → 122

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/2) lambda1)
(*.f64 (sqrt.f64 1/2) lambda1)
(*.f64 (sqrt.f64 1/2) lambda1)
(*.f64 (sqrt.f64 1/2) lambda1)
(*.f64 (sqrt.f64 1/2) lambda1)
(*.f64 (sqrt.f64 1/2) lambda1)
(*.f64 (sqrt.f64 1/2) lambda1)
(*.f64 (sqrt.f64 1/2) lambda1)
(*.f64 (sqrt.f64 1/2) lambda1)
(*.f64 (sqrt.f64 1/2) lambda1)
(*.f64 (sqrt.f64 1/2) lambda1)
(*.f64 (sqrt.f64 1/2) lambda1)
(.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) lambda1)) (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) lambda1)) (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2))))) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) lambda1)) (*.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) lambda1)) (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2))))) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 4) (.f64 (-.f64 1/24 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (+.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) lambda1)) (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2)))))) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) lambda1)) (*.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2)))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) lambda1)) (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2))))) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 phi1 4) (.f64 (-.f64 1/24 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (+.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) lambda1)) (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2)))))) (sqrt.f64 2))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) lambda1)) (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2))))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 1/24 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))) 1/720) (.f64 (pow.f64 phi1 6) (+.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) lambda1)) (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2)))))) (sqrt.f64 2))))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) lambda1)) (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2)))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) lambda1)) (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2)))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) lambda1)) (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2)))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) lambda1)) (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2)))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) lambda1)) (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2)))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) lambda1)) (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2)))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) lambda1)) (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2)))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) lambda1)) (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2)))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 1/2 (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 1/2 (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 1/2 (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(.f64 1/2 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
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(.f64 1/2 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 1/2 (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 1/2 (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 1/2 (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(.f64 1/2 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 1/2 (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 1/2 (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 1/2 (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 1/2 (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 1/2 (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 1/2 (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 1/2 (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 1/2 (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 1/2 (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (*.f64 lambda1 (sqrt.f64 1/2)) 0)
(+.f64 0 (*.f64 lambda1 (sqrt.f64 1/2)))
(-.f64 (*.f64 lambda1 (sqrt.f64 1/2)) 0)
(-.f64 0 (*.f64 lambda1 (neg.f64 (sqrt.f64 1/2))))
(/.f64 (*.f64 lambda1 (sqrt.f64 1/2)) 1)
(/.f64 (.f64 lambda1 (sqrt.f64 1/2)) (/.f64 (.f64 lambda1 (sqrt.f64 1/2)) (*.f64 lambda1 (sqrt.f64 1/2))))
(/.f64 (*.f64 lambda1 (neg.f64 (sqrt.f64 1/2))) -1)
(/.f64 (.f64 lambda1 (.f64 (sqrt.f64 1/2) -2)) -2)
(/.f64 (*.f64 (sqrt.f64 1/2) (+.f64 lambda1 lambda1)) 2)
(/.f64 (-.f64 0 (.f64 lambda1 (.f64 (sqrt.f64 1/2) -2))) 2)
(pow.f64 (*.f64 lambda1 (sqrt.f64 1/2)) 1)
(neg.f64 (*.f64 lambda1 (neg.f64 (sqrt.f64 1/2))))
(+.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 0)
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1))
(+.f64 0 (/.f64 lambda2 (sqrt.f64 1/2)))
(-.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 0)
(.f64 1/2 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 2))
(*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 1)
(*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 lambda2 (sqrt.f64 1/2))))
(.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 1 (/.f64 lambda2 (sqrt.f64 1/2)))))
(*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 1 (/.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 lambda2 (sqrt.f64 1/2)))))
(*.f64 1 (/.f64 lambda2 (sqrt.f64 1/2)))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) 2)
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (*.f64 (/.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 lambda2 (sqrt.f64 1/2))) 2))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (+.f64 (/.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 lambda2 (sqrt.f64 1/2))) 1))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (+.f64 1 (/.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 lambda2 (sqrt.f64 1/2)))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 1/2) lambda2) 1))) 1))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 1/2) lambda2) 1))) (/.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 lambda2 (sqrt.f64 1/2)))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (+.f64 1 (.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 1/2) lambda2) 1)))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (+.f64 (/.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 lambda2 (sqrt.f64 1/2))) (.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 1/2) lambda2) 1)))))
(.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (/.f64 1 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1))) (.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (/.f64 1 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1)))))
(*.f64 (/.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 lambda2 (sqrt.f64 1/2))) (/.f64 lambda2 (sqrt.f64 1/2)))
(.f64 1/4 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 4))
(.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1)) (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1)))
(.f64 (.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1)) (+.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1))))
(.f64 (/.f64 1 (/.f64 lambda2 (sqrt.f64 1/2))) (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 lambda2 (sqrt.f64 1/2))))
(.f64 (/.f64 1 (/.f64 lambda2 (sqrt.f64 1/2))) (+.f64 (.f64 1/2 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 lambda2 (sqrt.f64 1/2)))) (.f64 1/2 (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 lambda2 (sqrt.f64 1/2))))))
(.f64 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 lambda2 (sqrt.f64 1/2))) (/.f64 1 (/.f64 lambda2 (sqrt.f64 1/2))))
(.f64 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 2) 1/2)
(.f64 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 1 (/.f64 lambda2 (sqrt.f64 1/2)))) (/.f64 lambda2 (sqrt.f64 1/2)))
(.f64 2 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1))
(.f64 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1)) (/.f64 1 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1)))
(.f64 (/.f64 1/2 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 2)) (.f64 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 2) (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 2)))
(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1)) (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1))) (.f64 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1)) (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 (*.f64 (sqrt.f64 1/2) lambda2) 1))))
(.f64 (/.f64 (/.f64 1 (/.f64 lambda2 (sqrt.f64 1/2))) (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 lambda2 (sqrt.f64 1/2)))) (.f64 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 lambda2 (sqrt.f64 1/2))) (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 lambda2 (sqrt.f64 1/2)))))
(.f64 (/.f64 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 2) 1/2) 1/4)
(.f64 (/.f64 (/.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 lambda2 (sqrt.f64 1/2))) (/.f64 lambda2 (sqrt.f64 1/2))) (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 lambda2 (sqrt.f64 1/2))))
(.f64 (/.f64 (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 1 (/.f64 lambda2 (sqrt.f64 1/2)))) (/.f64 lambda2 (sqrt.f64 1/2))) (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (/.f64 lambda2 (sqrt.f64 1/2))))
(.f64 (/.f64 2 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1)) (.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (/.f64 (*.f64 (sqrt.f64 1/2) lambda2) 1)))
(pow.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 1)
(+.f64 (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (*.f64 lambda1 (neg.f64 (sqrt.f64 1/2))))) 0)
(+.f64 0 (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (*.f64 lambda1 (neg.f64 (sqrt.f64 1/2))))))
(-.f64 (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (*.f64 lambda1 (neg.f64 (sqrt.f64 1/2))))) 0)
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (*.f64 lambda1 (neg.f64 (sqrt.f64 1/2))))) 1)
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (.f64 lambda1 (neg.f64 (sqrt.f64 1/2))))) (/.f64 (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (.f64 lambda1 (neg.f64 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (*.f64 lambda1 (neg.f64 (sqrt.f64 1/2)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (.f64 lambda1 (neg.f64 (sqrt.f64 1/2)))) 2)) 2)
(pow.f64 (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) lambda2) 1) (*.f64 lambda1 (neg.f64 (sqrt.f64 1/2))))) 1)

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

localize5.0ms (0%)

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

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 17 computations (51.4% saved)

series6.0ms (0%)

Counts

1 → 32

Calls

12 calls:

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

rewrite110.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1316×	`rational_best-simplify-57`
752×	`rational_best-5`
752×	`rational_best-2`
752×	`rational_best-3`
752×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	110	29
2	374	29
3	1626	29
4	6543	29

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

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

Outputs

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

simplify206.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1628×	`rational_best-simplify-80`
1554×	`rational_best-simplify-82`
1538×	`rational_best-simplify-47`
1490×	`rational_best-simplify-78`
602×	`rational_best-simplify-44`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	61	1827
1	121	1785
2	246	1485
3	530	1317
4	1880	1305
5	4444	1305
6	6622	1305

Stop Event

1×	node limit

Counts

41 → 51

Calls

Call 1

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

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

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 lambda1))))
✓	0.1b	(.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)
✓	1.8b	(.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 lambda1)))
✓	2.7b	(.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (*.f64 -1/2 lambda1)))) R)

Compiler

Compiled 82 to 56 computations (31.7% saved)

series14.0ms (0%)

Counts

4 → 124

Calls

36 calls:

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

rewrite77.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`rational_best-5`
1144×	`rational_best-4`
1144×	`rational_best-2`
1144×	`rational_best-3`
1144×	`rational_best-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	154
1	161	154
2	559	154
3	2419	142

Stop Event

1×	node limit

Counts

4 → 42

Calls

Call 1

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

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

simplify209.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1248×	`rational_best-simplify-2`
1158×	`rational_best-simplify-78`
928×	`rational_best-simplify-80`
720×	`rational_best-simplify-44`
712×	`rational_best-simplify-132`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	179	7340
1	394	7308
2	1271	7308
3	2751	7308
4	5237	7308

Stop Event

1×	node limit

Counts

166 → 162

Calls

Call 1

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

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

localize54.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.8b	(.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 lambda1)))
✓	2.0b	(.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (*.f64 -1/8 lambda1))))))
✓	2.2b	(+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1)))))
✓	6.7b	(.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1))

Compiler

Compiled 130 to 91 computations (30% saved)

series13.0ms (0%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	phi1	@	inf	(.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (*.f64 -1/8 lambda1))))))
1.0ms	R	@	0	(.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (*.f64 -1/8 lambda1))))))
1.0ms	phi1	@	inf	(+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1)))))
1.0ms	lambda1	@	0	(.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1))
1.0ms	phi2	@	0	(.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1))

rewrite70.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`rational_best-5`
1430×	`rational_best-4`
1430×	`rational_best-2`
1430×	`rational_best-3`
1430×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	175
1	211	175
2	697	175
3	3015	175

Stop Event

1×	node limit

Counts

3 → 27

Calls

Call 1

Inputs

(*.f64 (pow.f64 phi2 2) (*.f64 -1/8 lambda1))

(+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (*.f64 -1/2 lambda1))) (*.f64 (cos.f64 (*.f64 1/2 phi1)) (+.f64 lambda1 (*.f64 (pow.f64 phi2 2) (*.f64 -1/8 lambda1)))))

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

Outputs

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

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

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

simplify239.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1012×	`rational_best-simplify-1`
996×	`rational_best-simplify-2`
994×	`rational_best-simplify-80`
804×	`rational_best-simplify-132`
728×	`rational_best-simplify-78`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	8337
1	345	8291
2	807	8231
3	1853	8231
4	3262	8231
5	5847	8231

Stop Event

1×	node limit

Counts

135 → 140

Calls

Call 1

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

Outputs
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) lambda1)
(+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)))
(+.f64 (.f64 -1/4 (.f64 phi1 (.f64 phi2 lambda1))) (+.f64 (.f64 -1/8 (*.f64 (pow.f64 phi2 2) lambda1)) lambda1))
(+.f64 lambda1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) (.f64 -1/4 (.f64 phi2 (*.f64 phi1 lambda1)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) (+.f64 lambda1 (.f64 phi2 (.f64 -1/4 (*.f64 lambda1 phi1)))))
(+.f64 lambda1 (+.f64 (.f64 phi2 (.f64 -1/4 (.f64 lambda1 phi1))) (.f64 -1/8 (*.f64 (pow.f64 phi2 2) lambda1))))
(+.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (.f64 phi2 (.f64 -1/4 (*.f64 lambda1 phi1))))
(+.f64 (.f64 -1/4 (.f64 phi1 (.f64 phi2 lambda1))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) lambda1))) (+.f64 (.f64 -1/8 (*.f64 (pow.f64 phi2 2) lambda1)) lambda1)))
(+.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (.f64 (pow.f64 phi1 2) (.f64 -1/8 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))))) (.f64 -1/4 (.f64 phi2 (*.f64 phi1 lambda1)))))
(+.f64 (.f64 phi2 (.f64 -1/4 (.f64 lambda1 phi1))) (+.f64 lambda1 (.f64 -1/8 (+.f64 (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (pow.f64 phi1 2)) (.f64 (pow.f64 phi2 2) lambda1)))))
(+.f64 lambda1 (+.f64 (.f64 -1/8 (+.f64 (.f64 (pow.f64 phi2 2) lambda1) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (pow.f64 phi1 2)))) (.f64 phi2 (.f64 -1/4 (.f64 lambda1 phi1)))))
(+.f64 (.f64 phi2 (.f64 -1/4 (.f64 lambda1 phi1))) (+.f64 lambda1 (.f64 -1/8 (+.f64 (.f64 (pow.f64 phi2 2) lambda1) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (pow.f64 phi1 2))))))
(+.f64 (.f64 -1/8 (+.f64 (.f64 (pow.f64 phi2 2) lambda1) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (pow.f64 phi1 2)))) (+.f64 lambda1 (.f64 phi2 (.f64 -1/4 (.f64 lambda1 phi1)))))
(+.f64 (.f64 -1/4 (.f64 phi1 (.f64 phi2 lambda1))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) lambda1))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) (+.f64 (.f64 1/96 (.f64 (pow.f64 phi1 3) (.f64 phi2 lambda1))) lambda1))))
(+.f64 (.f64 -1/4 (.f64 phi2 (.f64 phi1 lambda1))) (+.f64 (+.f64 lambda1 (.f64 1/96 (.f64 phi2 (.f64 (pow.f64 phi1 3) lambda1)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) (.f64 (pow.f64 phi1 2) (.f64 -1/8 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))))))))
(+.f64 (.f64 -1/8 (+.f64 (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (pow.f64 phi1 2)) (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (+.f64 lambda1 (.f64 phi2 (.f64 1/96 (.f64 lambda1 (pow.f64 phi1 3))))) (.f64 phi2 (.f64 -1/4 (*.f64 lambda1 phi1)))))
(+.f64 (+.f64 lambda1 (.f64 phi2 (.f64 1/96 (.f64 lambda1 (pow.f64 phi1 3))))) (+.f64 (.f64 -1/8 (+.f64 (.f64 (pow.f64 phi2 2) lambda1) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (pow.f64 phi1 2)))) (.f64 phi2 (.f64 -1/4 (*.f64 lambda1 phi1)))))
(+.f64 (+.f64 lambda1 (.f64 -1/8 (+.f64 (.f64 (pow.f64 phi2 2) lambda1) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (pow.f64 phi1 2))))) (+.f64 (.f64 phi2 (.f64 -1/4 (.f64 lambda1 phi1))) (.f64 phi2 (.f64 1/96 (*.f64 lambda1 (pow.f64 phi1 3))))))
(+.f64 (.f64 -1/8 (+.f64 (.f64 (pow.f64 phi2 2) lambda1) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (pow.f64 phi1 2)))) (+.f64 (.f64 phi2 (.f64 1/96 (.f64 lambda1 (pow.f64 phi1 3)))) (+.f64 lambda1 (.f64 phi2 (.f64 -1/4 (*.f64 lambda1 phi1))))))
(+.f64 (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) lambda1)))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) lambda1)))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) lambda1)))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) lambda1)))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) lambda1) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) lambda1) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) lambda1) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) lambda1) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(.f64 (cos.f64 (.f64 1/2 phi1)) lambda1)
(.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda1 (cos.f64 (.f64 phi1 1/2))))
(.f64 lambda1 (+.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 phi2 -1/2))))
(.f64 lambda1 (+.f64 (cos.f64 (.f64 phi1 1/2)) (.f64 phi2 (.f64 -1/2 (sin.f64 (*.f64 phi1 1/2))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda1)))
(.f64 -1/8 (.f64 (.f64 (pow.f64 phi2 2) lambda1) (cos.f64 (.f64 phi1 1/2))))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda1))) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 -1/8 (.f64 (.f64 (pow.f64 phi2 2) lambda1) (cos.f64 (.f64 phi1 1/2)))))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 -1/8 (.f64 (pow.f64 phi2 2) (.f64 lambda1 (cos.f64 (.f64 phi1 1/2))))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 -1/8 (.f64 (pow.f64 phi2 2) (.f64 lambda1 (cos.f64 (.f64 phi1 1/2))))))
(+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 -1/8 (.f64 (pow.f64 phi2 2) (.f64 lambda1 (cos.f64 (.f64 phi1 1/2))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda1)))
(.f64 -1/8 (.f64 (.f64 (pow.f64 phi2 2) lambda1) (cos.f64 (.f64 phi1 1/2))))
(.f64 -1/8 (.f64 (pow.f64 phi2 2) (.f64 lambda1 (cos.f64 (.f64 phi1 1/2)))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda1))) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1))))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 -1/8 (.f64 (.f64 (pow.f64 phi2 2) lambda1) (cos.f64 (.f64 phi1 1/2)))))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 -1/8 (.f64 (pow.f64 phi2 2) (.f64 lambda1 (cos.f64 (.f64 phi1 1/2))))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 -1/8 (.f64 (pow.f64 phi2 2) (.f64 lambda1 (cos.f64 (.f64 phi1 1/2))))))
(+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 -1/8 (.f64 (pow.f64 phi2 2) (.f64 lambda1 (cos.f64 (.f64 phi1 1/2))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (pow.f64 phi2 2) lambda1))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1)))))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2))) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 phi2 (.f64 -1/2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 phi2 -1/2))))
(.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2))) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 phi2 (.f64 -1/2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 phi2 -1/2))))
(.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2))) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 phi2 (.f64 -1/2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 phi2 -1/2))))
(.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2))) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 phi2 (.f64 -1/2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 phi2 -1/2))))
(.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2))) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 phi2 (.f64 -1/2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 phi2 -1/2))))
(.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2))) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 phi2 (.f64 -1/2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 phi2 -1/2))))
(.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2))) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 phi2 (.f64 -1/2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 phi2 -1/2))))
(.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2))) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) lambda1)
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 -1/2 (.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 phi2 (.f64 -1/2 (sin.f64 (*.f64 phi1 1/2))))))
(.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 phi2 -1/2))))
(.f64 -1 (.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 (.f64 1/8 (pow.f64 phi2 2)) 1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 lambda1 (.f64 -1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 (.f64 (pow.f64 phi2 2) 1/8) -1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))))
(neg.f64 (.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 -1 (.f64 (pow.f64 phi2 2) 1/8))) (.f64 phi2 (.f64 1/2 (sin.f64 (*.f64 phi1 1/2)))))))
(.f64 lambda1 (neg.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 -1 (.f64 (pow.f64 phi2 2) 1/8))) (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 phi2 1/2)))))
(.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 -1 (.f64 (pow.f64 phi2 2) 1/8))) (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 phi2 1/2))) (neg.f64 lambda1))
(.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 -1 (.f64 (pow.f64 phi2 2) 1/8))) (.f64 phi2 (.f64 1/2 (sin.f64 (*.f64 phi1 1/2))))) (neg.f64 lambda1))
(.f64 -1 (.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 (.f64 1/8 (pow.f64 phi2 2)) 1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 lambda1 (.f64 -1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 (.f64 (pow.f64 phi2 2) 1/8) -1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))))
(neg.f64 (.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 -1 (.f64 (pow.f64 phi2 2) 1/8))) (.f64 phi2 (.f64 1/2 (sin.f64 (*.f64 phi1 1/2)))))))
(.f64 lambda1 (neg.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 -1 (.f64 (pow.f64 phi2 2) 1/8))) (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 phi2 1/2)))))
(.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 -1 (.f64 (pow.f64 phi2 2) 1/8))) (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 phi2 1/2))) (neg.f64 lambda1))
(.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 -1 (.f64 (pow.f64 phi2 2) 1/8))) (.f64 phi2 (.f64 1/2 (sin.f64 (*.f64 phi1 1/2))))) (neg.f64 lambda1))
(.f64 -1 (.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 (.f64 1/8 (pow.f64 phi2 2)) 1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 lambda1 (.f64 -1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 (.f64 (pow.f64 phi2 2) 1/8) -1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))))
(neg.f64 (.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 -1 (.f64 (pow.f64 phi2 2) 1/8))) (.f64 phi2 (.f64 1/2 (sin.f64 (*.f64 phi1 1/2)))))))
(.f64 lambda1 (neg.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 -1 (.f64 (pow.f64 phi2 2) 1/8))) (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 phi2 1/2)))))
(.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 -1 (.f64 (pow.f64 phi2 2) 1/8))) (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 phi2 1/2))) (neg.f64 lambda1))
(.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 -1 (.f64 (pow.f64 phi2 2) 1/8))) (.f64 phi2 (.f64 1/2 (sin.f64 (*.f64 phi1 1/2))))) (neg.f64 lambda1))
(.f64 -1 (.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 (.f64 1/8 (pow.f64 phi2 2)) 1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))))
(.f64 lambda1 (.f64 -1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 (.f64 (pow.f64 phi2 2) 1/8) -1)) (.f64 1/2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2)))))))
(neg.f64 (.f64 lambda1 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 -1 (.f64 (pow.f64 phi2 2) 1/8))) (.f64 phi2 (.f64 1/2 (sin.f64 (*.f64 phi1 1/2)))))))
(.f64 lambda1 (neg.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 -1 (.f64 (pow.f64 phi2 2) 1/8))) (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 phi2 1/2)))))
(.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 -1 (.f64 (pow.f64 phi2 2) 1/8))) (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 phi2 1/2))) (neg.f64 lambda1))
(.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 -1 (.f64 (pow.f64 phi2 2) 1/8))) (.f64 phi2 (.f64 1/2 (sin.f64 (*.f64 phi1 1/2))))) (neg.f64 lambda1))
(.f64 (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) lambda1) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1)))) R)
(.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))) R)
(.f64 R (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) lambda1) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1)))) R)
(.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))) R)
(.f64 R (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) lambda1) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1)))) R)
(.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))) R)
(.f64 R (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) lambda1) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1)))) R)
(.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))) R)
(.f64 R (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1)) lambda1) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (.f64 (sin.f64 (*.f64 1/2 phi1)) lambda1)))) R)
(.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))) R)
(.f64 R (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
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(.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))) R)
(.f64 R (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2))) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) lambda1))
(.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda1 R))
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(.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 phi2 -1/2))) (.f64 lambda1 R))
(.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda1 R))
(.f64 R (.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2))) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) lambda1))
(.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda1 R))
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(.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 phi2 -1/2))) (.f64 lambda1 R))
(.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda1 R))
(.f64 R (.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2))) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) lambda1))
(.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda1 R))
(.f64 lambda1 (.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) R))
(.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 phi2 -1/2))) (.f64 lambda1 R))
(.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda1 R))
(.f64 R (.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2))) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) lambda1))
(.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda1 R))
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(.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda1 R))
(.f64 R (.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2))) (cos.f64 (.f64 1/2 phi1))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) lambda1))
(.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 phi1 1/2))))) (.f64 lambda1 R))
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(+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1))))) (/.f64 1 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1))))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1))))))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(/.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1))))) 1)
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(/.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1))))) (/.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1)))))))
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(/.f64 (.f64 2 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (*.f64 -1/8 lambda1)))))) 2)
(/.f64 (.f64 2 (+.f64 (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))) (.f64 lambda1 (.f64 (sin.f64 (.f64 phi1 1/2)) (*.f64 phi2 -1/2))))) 2)
(/.f64 (.f64 2 (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2))))) 2)
(/.f64 (.f64 2 (+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2))))) 2)
(/.f64 (.f64 2 (+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2))))) 2)
(pow.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1))))) 1)
(+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (.f64 phi1 1/2))))
(+.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (*.f64 -1/8 lambda1))))) R) 0)
(.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))) R)
(.f64 R (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(+.f64 0 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (*.f64 -1/8 lambda1))))) R))
(.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))) R)
(.f64 R (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(-.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (*.f64 -1/8 lambda1))))) R) 0)
(.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))) R)
(.f64 R (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(/.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (*.f64 -1/8 lambda1))))) R) 1)
(.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))) R)
(.f64 R (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(/.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1))))) R) (/.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1))))) R) (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (*.f64 -1/8 lambda1))))) R)))
(.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))) R)
(.f64 R (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1))))) R)) 2)
(.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))) R)
(.f64 R (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(pow.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 lambda1 (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (*.f64 -1/8 lambda1))))) R) 1)
(.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))) R)
(.f64 R (+.f64 (.f64 phi2 (.f64 -1/2 (.f64 lambda1 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 (sin.f64 (.f64 phi1 1/2)) (.f64 lambda1 -1/2))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))
(.f64 R (+.f64 (.f64 phi2 (.f64 lambda1 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) (.f64 (+.f64 lambda1 (.f64 -1/8 (.f64 (pow.f64 phi2 2) lambda1))) (cos.f64 (*.f64 phi1 1/2)))))

eval264.0ms (0.8%)

Compiler: Compiled 15827 to 11148 computations (29.6% saved)

prune160.0ms (0.5%)

Pruning

56 alts after pruning (48 fresh and 8 done)

	Pruned	Kept	Total
New	547	10	557
Fresh	6	38	44
Picked	1	0	1
Done	1	8	9
Total	555	56	611

Error

0.4b

Counts

611 → 56

Alt Table

Click to see full alt table

Status	Error	Program
	59.0b	(+.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (pow.f64 phi2 2) R) -1/8) R)) (.f64 R (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (+.f64 (.f64 phi2 -1/2) (*.f64 1/48 (pow.f64 phi2 3))))))
	47.3b	(+.f64 (.f64 phi2 R) (.f64 R (neg.f64 phi1)))
✓	60.3b	(.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (*.f64 -1/2 lambda1)))) R)
	62.0b	(.f64 (+.f64 lambda1 (.f64 -1/4 (.f64 lambda1 (.f64 phi1 phi2)))) R)
	60.2b	(.f64 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) lambda1) R)
	48.6b	(.f64 (.f64 (sqrt.f64 1/2) (*.f64 lambda2 R)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
	48.5b	(.f64 (.f64 lambda2 R) (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 phi1)))))
	58.4b	(.f64 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))) (neg.f64 lambda2))
	60.1b	(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
	55.3b	(*.f64 (neg.f64 phi2) R)
	60.1b	(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R lambda1))
	58.7b	(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 (neg.f64 (.f64 R lambda2)) (.f64 R lambda1)))
	60.2b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda2 (neg.f64 R)))
✓	58.7b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda1 lambda2)))
	59.9b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 (neg.f64 R)))
✓	58.4b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (-.f64 lambda1 lambda2)))
✓	53.1b	(*.f64 phi2 R)
✓	55.7b	(*.f64 phi1 (neg.f64 R))
	49.4b	(.f64 lambda2 (.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (neg.f64 (.f64 phi2 (sin.f64 phi1)))))) (.f64 (sqrt.f64 1/2) R)))
	60.3b	(.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 R)))
	60.3b	(.f64 lambda1 (.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) R))
	60.1b	(.f64 lambda1 (.f64 (cos.f64 (*.f64 phi1 1/2)) R))
	60.5b	(.f64 R (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (+.f64 (.f64 phi2 -1/2) (.f64 1/48 (pow.f64 phi2 3)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1))))))
	58.8b	(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (*.f64 phi2 -1/2))))
	38.4b	(.f64 R (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))) (.f64 (+.f64 (.f64 -1/6 (sin.f64 phi1)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 phi1) (-.f64 (.f64 -1/2 (cos.f64 phi1)) (pow.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) 2))) (+.f64 1 (cos.f64 phi1))))) (.f64 (pow.f64 phi2 3) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 phi1)) (pow.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) 2)) (.f64 (pow.f64 phi2 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)))) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 phi1) (.f64 phi2 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)))) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)))))))
	47.3b	(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
	46.9b	(*.f64 R (+.f64 phi1 (neg.f64 phi2)))
	48.5b	(.f64 R (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (*.f64 1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
	46.0b	(.f64 R (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))
	49.2b	(.f64 R (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (*.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
	38.7b	(.f64 R (.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (+.f64 1 (cos.f64 phi2)))))
	58.5b	(.f64 R (.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) 2) (/.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) lambda1))
	47.1b	(.f64 R (.f64 (*.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))))))
	38.6b	(.f64 R (.f64 (sqrt.f64 (+.f64 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2))) (+.f64 (.f64 (cos.f64 phi1) (.f64 -1/2 (pow.f64 phi2 2))) 1))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
✓	29.5b	(.f64 R (.f64 (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
	49.4b	(.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (*.f64 lambda1 (neg.f64 (sqrt.f64 1/2)))))
	41.8b	(.f64 R (.f64 (sqrt.f64 2) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
	41.9b	(.f64 R (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) (neg.f64 lambda1)))))
	40.3b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1))))
	51.1b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))
	60.1b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
	45.1b	(.f64 R (.f64 lambda2 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 1/2))))
	49.4b	(.f64 R (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 (.f64 (neg.f64 phi2) (sin.f64 phi1)) (+.f64 1 (cos.f64 phi1)))))))
	47.0b	(.f64 R (.f64 lambda2 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))))))
	48.5b	(.f64 R (.f64 lambda2 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
	50.6b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
	39.6b	(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi2)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
✓	38.3b	(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	40.8b	(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 2 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	37.1b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (/.f64 (/.f64 1 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	47.9b	(.f64 R (neg.f64 (.f64 lambda1 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (sqrt.f64 1/2)))))
	50.1b	(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 1/2 (+.f64 (.f64 (neg.f64 phi2) (sin.f64 phi1)) (+.f64 1 (cos.f64 phi1))))))))
	47.7b	(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi2 phi1))))))))
	49.2b	(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 phi1)))))))
✓	53.7b	(*.f64 R phi1)
	62.0b	(*.f64 R lambda1)

Compiler

Compiled 1293 to 974 computations (24.7% saved)

regimes1.4s (4.1%)

Counts

97 → 4

Calls

Call 1

Inputs
(*.f64 R lambda1)
(*.f64 R phi1)
(*.f64 R phi2)
(*.f64 phi2 R)
(*.f64 R (neg.f64 phi1))
(*.f64 R (neg.f64 phi2))
(*.f64 phi1 (neg.f64 R))
(*.f64 phi2 (neg.f64 R))
(*.f64 (neg.f64 phi2) R)
(*.f64 R (+.f64 phi1 (neg.f64 phi2)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 phi2 R) (.f64 R (neg.f64 phi1)))
(.f64 (+.f64 lambda1 (.f64 -1/4 (.f64 lambda1 (.f64 phi1 phi2)))) R)
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 lambda1 (.f64 (cos.f64 (*.f64 phi1 1/2)) R))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 R))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda1 R))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R lambda1))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 R)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 (neg.f64 R)))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda2 (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 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (-.f64 lambda1 lambda2)))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda1 lambda2)))
(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))
(.f64 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))) (neg.f64 lambda2))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 (neg.f64 (.f64 R lambda2)) (.f64 R lambda1)))
(.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 (.f64 -1 lambda2) lambda1)))
(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 2 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
(.f64 (.f64 lambda2 R) (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 phi1)))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 phi1)))))))
(.f64 R (.f64 lambda2 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi2 phi1))))))))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2))) lambda1))
(.f64 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) lambda1) R)
(.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (*.f64 -1/2 lambda1)))) R)
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (neg.f64 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))
(.f64 R (.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) 2) (/.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) lambda1))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (*.f64 phi2 -1/2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi2)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.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 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 lambda2 R)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(.f64 R (neg.f64 (.f64 lambda1 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (sqrt.f64 1/2)))))
(.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (*.f64 lambda1 (neg.f64 (sqrt.f64 1/2)))))
(.f64 R (.f64 lambda2 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (sqrt.f64 1/2))))
(.f64 R (.f64 (*.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))))))
(.f64 R (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (*.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (*.f64 1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(.f64 R (neg.f64 (.f64 lambda1 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (sqrt.f64 1/2)))))
(.f64 R (.f64 (sqrt.f64 2) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
(.f64 R (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 (.f64 (neg.f64 phi2) (sin.f64 phi1)) (+.f64 1 (cos.f64 phi1)))))))
(.f64 R (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) (neg.f64 lambda1)))))
(.f64 (.f64 lambda2 R) (sqrt.f64 (.f64 1/2 (+.f64 (.f64 (neg.f64 phi2) (sin.f64 phi1)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 1/2 (+.f64 (.f64 (neg.f64 phi2) (sin.f64 phi1)) (+.f64 1 (cos.f64 phi1))))))))
(.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 lambda1 (.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) R))
(.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (*.f64 -1/8 lambda1))))))
(+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 lambda1))) R) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1)) lambda1))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 (+.f64 1 (cos.f64 phi1)) (.f64 (neg.f64 phi2) (sin.f64 phi1))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (neg.f64 (.f64 lambda2 (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) 2) (/.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (+.f64 phi1 phi2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (neg.f64 (.f64 phi2 (sin.f64 phi1)))))) (.f64 (sqrt.f64 1/2) R)))
(.f64 R (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
(.f64 R (.f64 (sqrt.f64 (+.f64 (cos.f64 phi2) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
(.f64 R (.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (+.f64 1 (cos.f64 phi2)))))
(.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2))) (.f64 -1 (*.f64 lambda1 (sqrt.f64 1/2))))))
(.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
(.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (+.f64 (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2))) (.f64 -1 (*.f64 lambda1 (sqrt.f64 1/2))))))
(.f64 R (.f64 (+.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 -1/8 (pow.f64 phi2 2)))) lambda1))
(.f64 R (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (+.f64 (.f64 phi2 -1/2) (.f64 1/48 (pow.f64 phi2 3)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1))))))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (pow.f64 phi2 2) R) -1/8) R)) (.f64 R (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (+.f64 (.f64 phi2 -1/2) (*.f64 1/48 (pow.f64 phi2 3))))))
(.f64 R (.f64 lambda2 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 1/2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (+.f64 (.f64 (neg.f64 phi2) (sin.f64 phi1)) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 phi1)))))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (+.f64 (.f64 (sin.f64 phi1) (.f64 phi2 (.f64 -1/2 (-.f64 lambda1 lambda2)))) (+.f64 (.f64 1/2 (.f64 (-.f64 lambda1 lambda2) (+.f64 1 (cos.f64 phi1)))) (.f64 (cos.f64 phi1) (.f64 (-.f64 lambda1 lambda2) (.f64 -1/4 (pow.f64 phi2 2))))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))
(.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (/.f64 1 (/.f64 lambda1 (sqrt.f64 1/2)))))))))
(.f64 R (.f64 (sqrt.f64 (+.f64 1 (.f64 (/.f64 1 (cos.f64 (+.f64 phi2 phi1))) (.f64 (cos.f64 (+.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1)))))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
(.f64 R (.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/8 (pow.f64 phi2 2))) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/48 (pow.f64 phi2 3)))))) lambda1))
(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (+.f64 (.f64 (sin.f64 phi1) (+.f64 (neg.f64 phi2) (.f64 (pow.f64 phi2 3) 1/6))) (+.f64 (cos.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 phi1)))))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (/.f64 (/.f64 1 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (.f64 (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
(.f64 R (.f64 (sqrt.f64 (+.f64 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2))) (+.f64 (.f64 (cos.f64 phi1) (.f64 -1/2 (pow.f64 phi2 2))) 1))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (neg.f64 phi2))) (.f64 (pow.f64 phi2 3) (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))) 1/6))) (+.f64 (.f64 (pow.f64 phi2 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 (cos.f64 (.f64 1/2 phi1)) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (+.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (+.f64 (.f64 (pow.f64 phi2 2) (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (neg.f64 phi2))) (.f64 (pow.f64 phi2 3) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) 1/6)))))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))) (.f64 (+.f64 (.f64 -1/6 (sin.f64 phi1)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 phi1) (-.f64 (.f64 -1/2 (cos.f64 phi1)) (pow.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) 2))) (+.f64 1 (cos.f64 phi1))))) (.f64 (pow.f64 phi2 3) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 phi1)) (pow.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) 2)) (.f64 (pow.f64 phi2 2) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)))) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 phi1) (.f64 phi2 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)))) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) lambda2)))))))

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

Calls

9 calls:

461.0ms	R
157.0ms	(-.f64 lambda1 lambda2)
154.0ms	phi2
153.0ms	lambda2
126.0ms	phi1

Results

Error	Segments	Branch
25.7b	6	`R`
23.2b	3	`lambda1`
21.8b	4	`lambda2`
20.9b	3	`phi1`
19.5b	4	`phi2`
17.8b	3	`(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))`
17.8b	2	`(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))`
17.8b	2	`(+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))`
17.1b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 2186 to 1292 computations (40.9% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-4.1526968062965804e-210	-3.383521234753535e-215
0.0ms	-1.7172522838188618e-152	-1.2700923526890124e-156
0.0ms	-3.50270741594425e+127	-2.3359047808490127e+127

Compiler

Compiled 43 to 28 computations (34.9% saved)

regimes2.1s (6%)

Counts

92 → 4

Calls

Call 1

Inputs
(*.f64 R lambda1)
(*.f64 R phi1)
(*.f64 R phi2)
(*.f64 phi2 R)
(*.f64 R (neg.f64 phi1))
(*.f64 R (neg.f64 phi2))
(*.f64 phi1 (neg.f64 R))
(*.f64 phi2 (neg.f64 R))
(*.f64 (neg.f64 phi2) R)
(*.f64 R (+.f64 phi1 (neg.f64 phi2)))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(+.f64 (.f64 phi2 R) (.f64 R (neg.f64 phi1)))
(.f64 (+.f64 lambda1 (.f64 -1/4 (.f64 lambda1 (.f64 phi1 phi2)))) R)
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) lambda1))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) lambda1))
(.f64 lambda1 (.f64 (cos.f64 (*.f64 phi1 1/2)) R))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda1 R))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda1 R))
(.f64 (cos.f64 (.f64 phi2 1/2)) (*.f64 R lambda1))
(.f64 (.f64 R lambda1) (cos.f64 (*.f64 phi1 1/2)))
(.f64 lambda2 (.f64 (cos.f64 (*.f64 phi2 1/2)) (neg.f64 R)))
(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 (neg.f64 R)))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 lambda2 (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 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (-.f64 lambda1 lambda2)))
(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (-.f64 lambda1 lambda2)))
(.f64 R (.f64 lambda2 (neg.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))))))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))
(.f64 (.f64 R (cos.f64 (*.f64 1/2 (+.f64 phi2 phi1)))) (neg.f64 lambda2))
(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1))))
(.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 (neg.f64 (.f64 R lambda2)) (.f64 R lambda1)))
(.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 (.f64 -1 lambda2) lambda1)))
(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 2 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (.f64 lambda2 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 phi1))))))
(.f64 (.f64 lambda2 R) (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 phi1)))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 phi1)))))))
(.f64 R (.f64 lambda2 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi2 phi1))))))))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) lambda1) (.f64 lambda2 (cos.f64 (*.f64 1/2 phi2)))) R)
(.f64 R (sqrt.f64 (+.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2))) lambda1))
(.f64 (.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) lambda1) R)
(.f64 (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) lambda1) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (*.f64 -1/2 lambda1)))) R)
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (neg.f64 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))
(.f64 R (.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) 2) (/.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) lambda1))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (*.f64 phi2 -1/2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi2)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.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 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 lambda2 R)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))
(.f64 R (neg.f64 (.f64 lambda1 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (sqrt.f64 1/2)))))
(.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (*.f64 lambda1 (neg.f64 (sqrt.f64 1/2)))))
(.f64 R (.f64 lambda2 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (sqrt.f64 1/2))))
(.f64 R (.f64 (*.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))))))
(.f64 R (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (*.f64 -1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) (*.f64 1/2 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(.f64 R (neg.f64 (.f64 lambda1 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (sqrt.f64 1/2)))))
(.f64 R (.f64 (sqrt.f64 2) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
(.f64 R (.f64 lambda2 (sqrt.f64 (.f64 1/2 (+.f64 (.f64 (neg.f64 phi2) (sin.f64 phi1)) (+.f64 1 (cos.f64 phi1)))))))
(.f64 R (.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) (neg.f64 lambda1)))))
(.f64 (.f64 lambda2 R) (sqrt.f64 (.f64 1/2 (+.f64 (.f64 (neg.f64 phi2) (sin.f64 phi1)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 1/2 (+.f64 (.f64 (neg.f64 phi2) (sin.f64 phi1)) (+.f64 1 (cos.f64 phi1))))))))
(.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 lambda1 (.f64 (+.f64 (.f64 (cos.f64 (.f64 phi1 1/2)) (+.f64 1 (.f64 -1/8 (pow.f64 phi2 2)))) (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 phi1 1/2))))) R))
(.f64 R (+.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 (.f64 -1/2 lambda1))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (*.f64 -1/8 lambda1))))))
(+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 phi2 lambda1))) R) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1)) lambda1))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 (+.f64 1 (cos.f64 phi1)) (.f64 (neg.f64 phi2) (sin.f64 phi1))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (+.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1) (neg.f64 (.f64 lambda2 (.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) 2) (/.f64 1 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))))))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (+.f64 phi1 phi2) 2) 4))) 2) (/.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 lambda2 (.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (neg.f64 (.f64 phi2 (sin.f64 phi1)))))) (.f64 (sqrt.f64 1/2) R)))
(.f64 R (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
(.f64 R (.f64 (sqrt.f64 (+.f64 (cos.f64 phi2) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
(.f64 R (.f64 (+.f64 (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) lambda2)) (sqrt.f64 (+.f64 1 (cos.f64 phi2)))))
(.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (+.f64 (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2))) (.f64 -1 (*.f64 lambda1 (sqrt.f64 1/2))))))
(.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
(.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (+.f64 (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2))) (.f64 -1 (*.f64 lambda1 (sqrt.f64 1/2))))))
(.f64 R (.f64 (+.f64 (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 -1/2))) (.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 -1/8 (pow.f64 phi2 2)))) lambda1))
(.f64 R (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) lambda1) (+.f64 (.f64 phi2 -1/2) (.f64 1/48 (pow.f64 phi2 3)))) (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 lambda1 (.f64 (pow.f64 phi2 2) (.f64 -1/8 lambda1))))))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (+.f64 (.f64 (.f64 (pow.f64 phi2 2) R) -1/8) R)) (.f64 R (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (-.f64 lambda1 lambda2)) (+.f64 (.f64 phi2 -1/2) (*.f64 1/48 (pow.f64 phi2 3))))))
(.f64 R (.f64 lambda2 (sqrt.f64 (.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 1/2))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (+.f64 (.f64 (neg.f64 phi2) (sin.f64 phi1)) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 phi1)))))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (+.f64 (.f64 (sin.f64 phi1) (.f64 phi2 (.f64 -1/2 (-.f64 lambda1 lambda2)))) (+.f64 (.f64 1/2 (.f64 (-.f64 lambda1 lambda2) (+.f64 1 (cos.f64 phi1)))) (.f64 (cos.f64 phi1) (.f64 (-.f64 lambda1 lambda2) (.f64 -1/4 (pow.f64 phi2 2))))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))
(.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) (/.f64 1 (/.f64 lambda1 (sqrt.f64 1/2)))))))))
(.f64 R (.f64 (sqrt.f64 (+.f64 1 (.f64 (/.f64 1 (cos.f64 (+.f64 phi2 phi1))) (.f64 (cos.f64 (+.f64 phi2 phi1)) (cos.f64 (+.f64 phi2 phi1)))))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2))))))
(.f64 R (.f64 (+.f64 (.f64 phi2 (.f64 -1/2 (sin.f64 (.f64 1/2 phi1)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 -1/8 (pow.f64 phi2 2))) (+.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 1/48 (pow.f64 phi2 3)))))) lambda1))
(.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (+.f64 (.f64 (sin.f64 phi1) (+.f64 (neg.f64 phi2) (.f64 (pow.f64 phi2 3) 1/6))) (+.f64 (cos.f64 phi1) (.f64 -1/2 (.f64 (pow.f64 phi2 2) (cos.f64 phi1)))))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (.f64 (.f64 (/.f64 (/.f64 1 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2)) (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))

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

Calls

9 calls:

487.0ms	lambda2
347.0ms	phi1
326.0ms	phi2
228.0ms	R
217.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Results

Error	Segments	Branch
28.3b	6	`R`
24.6b	3	`lambda1`
23.3b	5	`lambda2`
21.8b	4	`phi1`
20.2b	4	`phi2`
21.0b	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)))))`
21.0b	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))))`
21.0b	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)))`
20.4b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1819 to 1038 computations (42.9% saved)

bsearch96.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
36.0ms	3.4582252538259853e+37	1.1627042769421716e+40
34.0ms	-1.191618325579262e-132	-2.3215495022793912e-135
24.0ms	-7.267640742984729e+57	-5.593436065495841e+56

Results

64.0ms	298×	body	256	valid
12.0ms	33×	body	512	valid
12.0ms	21×	body	1024	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 1163 to 842 computations (27.6% saved)

regimes1.8s (5.3%)

Counts

78 → 4

Calls

Call 1

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

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

Calls

9 calls:

492.0ms	R
398.0ms	phi2
292.0ms	phi1
235.0ms	lambda2
123.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
29.2b	8	`R`
26.9b	3	`lambda1`
26.7b	4	`lambda2`
22.3b	4	`phi1`
20.3b	4	`phi2`
23.1b	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)))))`
23.1b	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))))`
23.1b	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)))`
22.5b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1319 to 743 computations (43.7% saved)

bsearch107.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
35.0ms	0.21213669644112315	1161.6195557359545
39.0ms	-1.191618325579262e-132	-2.3215495022793912e-135
32.0ms	-7.267640742984729e+57	-5.593436065495841e+56

Results

77.0ms	303×	body	256	valid
13.0ms	24×	body	1024	valid
10.0ms	25×	body	512	valid

Compiler

Compiled 1131 to 826 computations (27% saved)

regimes1.0s (3%)

Counts

74 → 4

Calls

Call 1

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

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

Calls

9 calls:

254.0ms	R
136.0ms	(-.f64 lambda1 lambda2)
131.0ms	phi1
126.0ms	lambda2
120.0ms	phi2

Results

Error	Segments	Branch
31.1b	7	`R`
26.9b	3	`lambda1`
26.7b	4	`lambda2`
24.9b	4	`phi1`
23.4b	4	`phi2`
25.7b	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)))))`
25.7b	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))))`
25.7b	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)))`
25.0b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1241 to 685 computations (44.8% saved)

bsearch88.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
27.0ms	3.2812368633704274e-26	3.287931346054635e-24
35.0ms	-1.191618325579262e-132	-2.3215495022793912e-135
26.0ms	-7.267640742984729e+57	-5.593436065495841e+56

Results

56.0ms	281×	body	256	valid
14.0ms	25×	body	1024	valid
11.0ms	30×	body	512	valid
1.0ms	2×	body	256	infinite

Compiler

Compiled 1004 to 691 computations (31.2% saved)

regimes1.2s (3.6%)

Counts

50 → 4

Calls

Call 1

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

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

Calls

6 calls:

368.0ms	R
302.0ms	phi1
241.0ms	lambda1
122.0ms	lambda2
84.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
31.1b	7	`R`
26.9b	3	`lambda1`
26.7b	4	`lambda2`
24.9b	4	`phi1`
23.4b	4	`phi2`
25.0b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 614 to 335 computations (45.4% saved)

bsearch91.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
31.0ms	3.2812368633704274e-26	3.287931346054635e-24
33.0ms	-1.191618325579262e-132	-2.3215495022793912e-135
26.0ms	-7.267640742984729e+57	-5.593436065495841e+56

Results

57.0ms	277×	body	256	valid
15.0ms	25×	body	1024	valid
13.0ms	34×	body	512	valid

Compiler

Compiled 1004 to 691 computations (31.2% saved)

regimes987.0ms (2.9%)

Counts

49 → 4

Calls

Call 1

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

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

Calls

6 calls:

262.0ms	lambda2
220.0ms	(-.f64 lambda1 lambda2)
205.0ms	R
113.0ms	phi1
97.0ms	phi2

Results

Error	Segments	Branch
32.1b	7	`R`
27.7b	3	`lambda1`
26.9b	6	`lambda2`
25.3b	4	`phi1`
23.6b	4	`phi2`
26.2b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 583 to 321 computations (44.9% saved)

bsearch94.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
29.0ms	3.2812368633704274e-26	3.287931346054635e-24
39.0ms	-1.191618325579262e-132	-2.3215495022793912e-135
25.0ms	-7.267640742984729e+57	-5.593436065495841e+56

Results

63.0ms	286×	body	256	valid
13.0ms	23×	body	1024	valid
12.0ms	27×	body	512	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 920 to 621 computations (32.5% saved)

regimes1.0s (3%)

Counts

47 → 3

Calls

Call 1

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

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

Calls

6 calls:

213.0ms	lambda2
208.0ms	(-.f64 lambda1 lambda2)
183.0ms	phi1
148.0ms	lambda1
144.0ms	R

Results

Error	Segments	Branch
34.5b	6	`R`
28.9b	3	`lambda1`
26.9b	8	`lambda2`
27.5b	3	`phi1`
24.9b	3	`phi2`
28.4b	4	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 533 to 304 computations (43% saved)

bsearch85.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	3.2812368633704274e-26	3.287931346054635e-24
55.0ms	-0.7233958963077165	-8.460512366981963e-5

Results

40.0ms	194×	body	256	valid
32.0ms	22×	body	1024	valid
9.0ms	24×	body	512	valid

Compiler

Compiled 510 to 373 computations (26.9% saved)

regimes1.2s (3.6%)

Counts

30 → 5

Calls

Call 1

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

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

Calls

6 calls:

257.0ms	phi1
241.0ms	phi2
232.0ms	R
204.0ms	lambda1
150.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
39.4b	9	`R`
35.1b	7	`lambda1`
36.8b	7	`lambda2`
32.6b	6	`phi1`
31.7b	5	`phi2`
37.1b	11	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 262 to 145 computations (44.7% saved)

bsearch263.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
133.0ms	3.287931346054635e-24	2.5291211469400892e-21
33.0ms	1.3959169892963393e-155	1.1701583835792107e-151
61.0ms	2.1477906520730792e-301	4.830965897376998e-299
35.0ms	-1.191618325579262e-132	-2.3215495022793912e-135

Results

218.0ms	424×	body	256	valid
19.0ms	44×	body	512	valid
18.0ms	28×	body	1024	valid

Compiler

Compiled 988 to 739 computations (25.2% saved)

regimes617.0ms (1.8%)

Counts

28 → 5

Calls

Call 1

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

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

Calls

6 calls:

120.0ms	lambda2
120.0ms	(-.f64 lambda1 lambda2)
116.0ms	R
101.0ms	lambda1
77.0ms	phi1

Results

Error	Segments	Branch
39.4b	9	`R`
38.8b	7	`lambda1`
35.8b	9	`lambda2`
34.1b	5	`phi1`
32.8b	5	`phi2`
38.6b	9	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 240 to 132 computations (45% saved)

bsearch141.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
36.0ms	3.287931346054635e-24	2.5291211469400892e-21
32.0ms	8.652452867372294e-198	9.707203555467181e-195
42.0ms	-2.1457298024742794e-269	-1.1159038126859728e-274
30.0ms	-1.191618325579262e-132	-2.3215495022793912e-135

Results

90.0ms	438×	body	256	valid
23.0ms	39×	body	1024	valid
20.0ms	51×	body	512	valid

Compiler

Compiled 918 to 687 computations (25.2% saved)

regimes612.0ms (1.8%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

5 calls:

290.0ms	R
158.0ms	lambda2
68.0ms	phi2
61.0ms	lambda1
30.0ms	phi1

Results

Error	Segments	Branch
42.0b	6	`R`
42.7b	6	`lambda1`
40.8b	7	`lambda2`
38.3b	2	`phi1`
38.0b	2	`phi2`

Compiler

Compiled 181 to 99 computations (45.3% saved)

bsearch35.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
35.0ms	9.711963388297125e-150	7.282690058986584e-144

Results

24.0ms	123×	body	256	valid
5.0ms	9×	body	1024	valid
4.0ms	12×	body	512	valid

Compiler

Compiled 261 to 190 computations (27.2% saved)

regimes282.0ms (0.8%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

5 calls:

122.0ms	lambda2
103.0ms	phi2
28.0ms	lambda1
22.0ms	phi1
6.0ms	R

Results

Error	Segments	Branch
46.9b	1	`R`
44.4b	5	`lambda1`
45.9b	2	`lambda2`
39.7b	3	`phi1`
39.5b	2	`phi2`

Compiler

Compiled 73 to 44 computations (39.7% saved)

bsearch35.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
34.0ms	5.5211829967945e-5	0.023597025432652716

Results

21.0ms	102×	body	256	valid
8.0ms	14×	body	1024	valid
4.0ms	12×	body	512	valid

Compiler

Compiled 213 to 156 computations (26.8% saved)

regimes273.0ms (0.8%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

5 calls:

129.0ms	lambda1
86.0ms	phi2
25.0ms	R
16.0ms	phi1
15.0ms	lambda2

Results

Error	Segments	Branch
50.4b	4	`R`
49.6b	5	`lambda1`
50.6b	3	`lambda2`
41.3b	3	`phi1`
41.1b	3	`phi2`

Compiler

Compiled 67 to 42 computations (37.3% saved)

bsearch125.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
92.0ms	5.5211829967945e-5	0.023597025432652716
33.0ms	-3.475032156178877e-32	-5.528346528493308e-36

Results

70.0ms	30×	body	512	valid
40.0ms	206×	body	256	valid
11.0ms	20×	body	1024	valid

Compiler

Compiled 341 to 260 computations (23.8% saved)

regimes149.0ms (0.4%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

5 calls:

87.0ms	lambda2
20.0ms	R
19.0ms	lambda1
11.0ms	phi1
9.0ms	phi2

Results

Error	Segments	Branch
50.4b	4	`R`
50.4b	5	`lambda1`
50.6b	3	`lambda2`
41.3b	3	`phi1`
46.4b	2	`phi2`

Compiler

Compiled 51 to 36 computations (29.4% saved)

bsearch75.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	0.0828052049756258	5213.636454810481
43.0ms	-3.4220040930970076e-15	-8.367073338351803e-26

Results

55.0ms	264×	body	256	valid
13.0ms	17×	body	1024	valid
3.0ms	7×	body	512	valid

Compiler

Compiled 379 to 290 computations (23.5% saved)

regimes54.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	lambda2
11.0ms	R
11.0ms	phi1
11.0ms	lambda1
8.0ms	phi2

Results

Error	Segments	Branch
52.1b	2	`R`
51.8b	3	`lambda1`
52.1b	2	`lambda2`
46.1b	2	`phi1`
46.4b	2	`phi2`

Compiler

Compiled 47 to 34 computations (27.7% saved)

bsearch32.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	0.0828052049756258	5213.636454810481

Results

23.0ms	114×	body	256	valid
5.0ms	9×	body	1024	valid
2.0ms	5×	body	512	valid

Compiler

Compiled 189 to 140 computations (25.9% saved)

regimes18.0ms (0.1%)

Accuracy

Total -8.6b remaining (-16%)

Threshold costs -8.6b (-16%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 R phi1)

Calls

5 calls:

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

Results

Error	Segments	Branch
53.7b	1	`R`
53.7b	1	`lambda1`
53.7b	1	`lambda2`
53.7b	1	`phi1`
53.7b	1	`phi2`

Compiler

Compiled 41 to 32 computations (22% saved)

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	1882

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 lambda1 lambda2) -30000000000000002255234607495546258824142871930572246404487273070732977757272456139936233032932741062847978651165575789800325120) (.f64 R (.f64 (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2)))))) (if (<=.f64 (-.f64 lambda1 lambda2) -4717453031026927/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -740298315191607/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 2 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))))))
(if (<=.f64 phi2 -4999999999999999719059744987206815407898577214256598482944) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (if (<=.f64 phi2 -7032675134151867/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 phi2 2649999999999999893119795492888449646592) (.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2)))))) (*.f64 R (+.f64 phi2 (neg.f64 phi1))))))
(if (<=.f64 phi2 -1200000000000000023171116165960292210384514014055552253952) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (if (<=.f64 phi2 -399583814440447/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 phi2 8286623314361713/36028797018963968) (.f64 R (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2)))))) (*.f64 R (+.f64 phi2 (neg.f64 phi1))))))
(if (<=.f64 phi2 -2600000000000000021166656382327217573625147196276142505984) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (if (<=.f64 phi2 -2148162586431843/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 phi2 552958846246525/170141183460469231731687303715884105728) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (.f64 R (+.f64 phi2 (neg.f64 phi1))))))
(if (<=.f64 phi2 -680000000000000001515327703142799366334704674293791326208) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (if (<=.f64 phi2 -1470468437140845/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 phi2 552958846246525/170141183460469231731687303715884105728) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (.f64 R (+.f64 phi2 (neg.f64 phi1))))))
(if (<=.f64 phi2 -660000000000000004032885298102136051049092757477287526400) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (if (<=.f64 phi2 -6383111685397477/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) (.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 phi2 552958846246525/170141183460469231731687303715884105728) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (*.f64 R (+.f64 phi2 (neg.f64 phi1))))))
(if (<=.f64 phi2 -760928193040519/1152921504606846976) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (if (<=.f64 phi2 5444517870735015/5444517870735015415413993718908291383296) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (*.f64 R (+.f64 phi2 (neg.f64 phi1)))))
(if (<=.f64 phi2 -7032675134151867/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (if (<=.f64 phi2 5655053629744163/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (if (<=.f64 phi2 8453675831600253/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) (if (<=.f64 phi2 2858371882135883/680564733841876926926749214863536422912) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (*.f64 R (+.f64 phi2 (neg.f64 phi1)))))))
(if (<=.f64 phi2 -2148162586431843/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (if (<=.f64 phi2 -35326763291325/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (if (<=.f64 phi2 104791769913659/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896) (.f64 R phi1) (if (<=.f64 phi2 8983454486712775/2722258935367507707706996859454145691648) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (*.f64 R (+.f64 phi2 (neg.f64 phi1)))))))
(if (<=.f64 phi2 6467188579655845/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (.f64 R (+.f64 phi2 (neg.f64 phi1))))
(if (<=.f64 phi2 2720894750872159/9223372036854775808) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (.f64 R phi2))
(if (<=.f64 phi2 -8476709496519237/5846006549323611672814739330865132078623730171904) (.f64 R (neg.f64 phi2)) (if (<=.f64 phi2 5902958103587057/4611686018427387904) (.f64 R phi1) (*.f64 R phi2)))
(if (<=.f64 phi1 -7656353255721115/10633823966279326983230456482242756608) (.f64 R (neg.f64 phi1)) (if (<=.f64 phi1 3422735716801577/18014398509481984) (.f64 R phi2) (*.f64 R phi1)))
(if (<=.f64 phi1 1/8) (.f64 R phi2) (.f64 R phi1))
(*.f64 R phi1)
(*.f64 R lambda1)

Outputs
(if (<=.f64 (-.f64 lambda1 lambda2) -30000000000000002255234607495546258824142871930572246404487273070732977757272456139936233032932741062847978651165575789800325120) (.f64 R (.f64 (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2)))))) (if (<=.f64 (-.f64 lambda1 lambda2) -4717453031026927/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -740298315191607/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 2 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -30000000000000002255234607495546258824142871930572246404487273070732977757272456139936233032932741062847978651165575789800325120) (.f64 R (.f64 (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 phi2) (sin.f64 phi1))))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2)))))) (if (<=.f64 (-.f64 lambda1 lambda2) -4717453031026927/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -740298315191607/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (.f64 R (sqrt.f64 (+.f64 (.f64 1 (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))))))
(if (<=.f64 phi2 -4999999999999999719059744987206815407898577214256598482944) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (if (<=.f64 phi2 -7032675134151867/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 phi2 2649999999999999893119795492888449646592) (.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2)))))) (*.f64 R (+.f64 phi2 (neg.f64 phi1))))))
(if (<=.f64 phi2 -1200000000000000023171116165960292210384514014055552253952) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (if (<=.f64 phi2 -399583814440447/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 phi2 8286623314361713/36028797018963968) (.f64 R (.f64 (sqrt.f64 (+.f64 (cos.f64 phi1) 1)) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 lambda1 (sqrt.f64 1/2)))))) (*.f64 R (+.f64 phi2 (neg.f64 phi1))))))
(if (<=.f64 phi2 -2600000000000000021166656382327217573625147196276142505984) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (if (<=.f64 phi2 -2148162586431843/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 phi2 552958846246525/170141183460469231731687303715884105728) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (.f64 R (+.f64 phi2 (neg.f64 phi1))))))
(if (<=.f64 phi2 -680000000000000001515327703142799366334704674293791326208) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (if (<=.f64 phi2 -1470468437140845/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 phi2 552958846246525/170141183460469231731687303715884105728) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (.f64 R (+.f64 phi2 (neg.f64 phi1))))))
(if (<=.f64 phi2 -660000000000000004032885298102136051049092757477287526400) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (if (<=.f64 phi2 -6383111685397477/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) (.f64 R (sqrt.f64 (+.f64 (.f64 (/.f64 (+.f64 1 (cos.f64 phi1)) 2) (.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 phi2 552958846246525/170141183460469231731687303715884105728) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (*.f64 R (+.f64 phi2 (neg.f64 phi1))))))
(if (<=.f64 phi2 -760928193040519/1152921504606846976) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (if (<=.f64 phi2 5444517870735015/5444517870735015415413993718908291383296) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (*.f64 R (+.f64 phi2 (neg.f64 phi1)))))
(if (<=.f64 phi2 -7032675134151867/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (if (<=.f64 phi2 5655053629744163/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (if (<=.f64 phi2 8453675831600253/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) (if (<=.f64 phi2 2858371882135883/680564733841876926926749214863536422912) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (*.f64 R (+.f64 phi2 (neg.f64 phi1)))))))
(if (<=.f64 phi2 -2148162586431843/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (if (<=.f64 phi2 -35326763291325/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (if (<=.f64 phi2 104791769913659/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896) (.f64 R phi1) (if (<=.f64 phi2 8983454486712775/2722258935367507707706996859454145691648) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (*.f64 R (+.f64 phi2 (neg.f64 phi1)))))))
(if (<=.f64 phi2 6467188579655845/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (.f64 R (+.f64 phi2 (neg.f64 phi1))))
(if (<=.f64 phi2 2720894750872159/9223372036854775808) (.f64 R (+.f64 phi1 (neg.f64 phi2))) (.f64 R phi2))
(if (<=.f64 phi2 -8476709496519237/5846006549323611672814739330865132078623730171904) (.f64 R (neg.f64 phi2)) (if (<=.f64 phi2 5902958103587057/4611686018427387904) (.f64 R phi1) (*.f64 R phi2)))
(if (<=.f64 phi1 -7656353255721115/10633823966279326983230456482242756608) (.f64 R (neg.f64 phi1)) (if (<=.f64 phi1 3422735716801577/18014398509481984) (.f64 R phi2) (*.f64 R phi1)))
(if (<=.f64 phi1 1/8) (.f64 R phi2) (.f64 R phi1))
(*.f64 R phi1)
(*.f64 R lambda1)

Compiler

Compiled 755 to 477 computations (36.8% saved)

soundness1.1s (3.3%)

Algorithm

6×	egg-herbie

Rules

1430×	`rational_best-simplify-80`
1280×	`rational_best-simplify-78`
1162×	`rational_best-simplify-2`
1162×	`rational_best-simplify-2`
1162×	`rational_best-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	97
1	28	97
2	33	97
3	37	93
4	52	93
5	65	93
6	84	93
7	124	93
8	194	93
9	322	93
10	582	93
11	851	93
12	1023	93
13	1714	93
14	3413	93
15	6554	93
0	474	16966
1	1064	16428
2	1955	15006
3	3291	14852
4	6379	14828
0	20	97
1	28	97
2	33	97
3	37	93
4	52	93
5	65	93
6	84	93
7	124	93
8	194	93
9	322	93
10	582	93
11	851	93
12	1023	93
13	1714	93
14	3413	93
15	6554	93
0	20	97
1	28	97
2	33	97
3	37	93
4	52	93
5	65	93
6	84	93
7	124	93
8	194	93
9	322	93
10	582	93
11	851	93
12	1023	93
13	1714	93
14	3413	93
15	6554	93
0	515	17814
1	1126	16858
2	2042	15670
3	3706	15670
0	20	97
1	28	97
2	33	97
3	37	93
4	52	93
5	65	93
6	84	93
7	124	93
8	194	93
9	322	93
10	582	93
11	851	93
12	1023	93
13	1714	93
14	3413	93
15	6554	93

Stop Event

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

Compiler

Compiled 1054 to 496 computations (52.9% saved)

end220.0ms (0.6%)

Compiler: Compiled 896 to 425 computations (52.6% saved)