Details

analyze1.8s (3.9%)

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)

sample6.9s (14.8%)

Results

3.0s	6664×	body	256	valid
1.1s	2665×	body	256	infinite
1.0s	799×	body	1024	valid
781.0ms	438×	body	1024	infinite
670.0ms	791×	body	512	valid
390.0ms	418×	body	512	infinite
3.0ms	2×	body	2048	valid

Bogosity

preprocess91.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1414×	`rational.json-simplify-44`
1324×	`rational.json-simplify-1`
896×	`rational.json-simplify-41`
766×	`rational.json-simplify-43`
762×	`rational.json-simplify-42`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	1067
1	228	1067
2	443	1067
3	1635	1023
4	5185	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
3

Call 2

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

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

Symmetry

(sort lambda1 lambda2)

(sort phi1 phi2)

Compiler

Compiled 42 to 26 computations (38.1% saved)

simplify82.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1330×	`rational.json-simplify-1`
1206×	`rational.json-simplify-64`
1164×	`rational.json-simplify-45`
1054×	`rational.json-simplify-42`
724×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	97
1	35	97
2	62	97
3	231	93
4	734	93
5	1867	93
6	4726	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 (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 (/.f64 (+.f64 phi1 phi2) 2) -2))) 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 (/.f64 (+.f64 phi1 phi2) 2) 2))) 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)))))

eval2.0ms (0%)

Compiler: Compiled 194 to 87 computations (55.2% saved)

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

39.0b

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.0b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (+.f64 phi1 phi2) 2) 2))) 2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
▶	39.0b	(.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

▶

39.0b

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

▶

39.0b

(*.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 73 to 44 computations (39.7% saved)

localize59.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 lambda1 lambda2) (.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
✓	0.4b	(*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))
✓	3.4b	(cos.f64 (/.f64 (+.f64 phi1 phi2) 2))
✓	36.2b	(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)

series27.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	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))))
3.0ms	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	@	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))))
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))))

rewrite106.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`rational.json-5`
1380×	`exponential.json-3`
1380×	`rational.json-1`
1380×	`rational.json-2`
1380×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	198
1	176	198
2	672	186
3	2757	186

Stop Event

1×	node limit

Counts

4 → 77

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

simplify278.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1194×	`rational.json-simplify-43`
950×	`rational.json-simplify-1`
662×	`rational.json-simplify-2`
628×	`rational.json-simplify-41`
490×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	539	17829
1	1269	17109
2	2797	15841
3	6596	15445

Stop Event

1×	node limit

Counts

221 → 363

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)))))
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(.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 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))))))
(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 (+.f64 phi1 phi2) 2)) 0)
(+.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 phi1 phi2) 2)))))
(+.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (+.f64 0 (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 phi1 phi2) 2))))))
(+.f64 0 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))
(+.f64 (*.f64 0 (cos.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 phi1 phi2) 2)))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))
(-.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) 0)
(*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) 1)
(*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (/.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
(*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 0))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (/.f64 1 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (*.f64 (/.f64 1 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) 1))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (*.f64 (/.f64 1 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 0)))
(*.f64 1 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))
(*.f64 (cos.f64 0) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))
(.f64 (/.f64 1 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (/.f64 (+.f64 1 (cos.f64 (.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))
(/.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) 1)
(/.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (/.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
(/.f64 (*.f64 2 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) 2)
(pow.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) 1)
(sin.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 phi1 phi2) 2)))
(sin.f64 (-.f64 (/.f64 (+.f64 phi1 phi2) 2) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))
(sin.f64 (-.f64 (/.f64 (+.f64 phi1 phi2) 2) (neg.f64 (/.f64 (PI.f64) 2))))
(sin.f64 (-.f64 (PI.f64) (-.f64 (/.f64 (+.f64 phi1 phi2) 2) (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))
(sin.f64 (-.f64 (neg.f64 (/.f64 (+.f64 phi1 phi2) 2)) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))))
(+.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) 0)
(+.f64 0 (/.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) 0)
(/.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) 1)
(/.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (/.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 (cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2))) (cos.f64 0)) 2)
(/.f64 (-.f64 1 (cos.f64 (*.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 phi1 phi2) 2)) 2))) 2)
(/.f64 (-.f64 1 (cos.f64 (+.f64 (-.f64 (/.f64 (+.f64 phi1 phi2) 2) (-.f64 (/.f64 (PI.f64) 2) (PI.f64))) (-.f64 (/.f64 (+.f64 phi1 phi2) 2) (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))) 2)
(/.f64 (-.f64 1 (cos.f64 (+.f64 (-.f64 (/.f64 (+.f64 phi1 phi2) 2) (neg.f64 (/.f64 (PI.f64) 2))) (-.f64 (/.f64 (+.f64 phi1 phi2) 2) (neg.f64 (/.f64 (PI.f64) 2)))))) 2)
(/.f64 (+.f64 (cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2))) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 phi1 phi2) 2)) (-.f64 (/.f64 (+.f64 phi1 phi2) 2) (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))) 2)
(/.f64 (+.f64 (cos.f64 0) (sin.f64 (+.f64 (/.f64 (+.f64 phi1 phi2) 2) (-.f64 (/.f64 (+.f64 phi1 phi2) 2) (-.f64 (/.f64 (PI.f64) 2) (PI.f64)))))) 2)
(/.f64 (+.f64 (cos.f64 0) (sin.f64 (+.f64 (/.f64 (+.f64 phi1 phi2) 2) (-.f64 (/.f64 (+.f64 phi1 phi2) 2) (neg.f64 (/.f64 (PI.f64) 2)))))) 2)
(/.f64 (+.f64 (cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2))) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 phi1 phi2) 2)) (-.f64 (/.f64 (+.f64 phi1 phi2) 2) (neg.f64 (/.f64 (PI.f64) 2)))))) 2)
(pow.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) 1)
(fabs.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))
(fabs.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2)))
(fabs.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 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))) (neg.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))
(fabs.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (neg.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))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
(fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (fabs.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))
(fabs.f64 (-.f64 0 (neg.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2))))
(fabs.f64 (-.f64 0 (/.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 (/.f64 (+.f64 phi1 phi2) 2)))) 2) (fabs.f64 (/.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))))
(fabs.f64 (*.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) (neg.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 (fabs.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (neg.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)) (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))) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))))
(fabs.f64 (*.f64 (neg.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (fabs.f64 (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 (/.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))))
(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 (/.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)))))
(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))))
(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 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)))) (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)) -1)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)))) (neg.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)))) (.f64 lambda2 (neg.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))) (+.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 lambda2 2) (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)) (pow.f64 (-.f64 phi1 phi2) 2)))) (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)))) 2)) (pow.f64 lambda1 2))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)))) (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (.f64 1 (pow.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)))))) 2))) (pow.f64 lambda1 2)) 1/2)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)))) (.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)) -1))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)))) (neg.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1)))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2))) (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)))))) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))) 2)))) (pow.f64 lambda1 2)) 1/2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)))) (+.f64 (.f64 1/2 (.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (.f64 lambda2 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 phi1 phi2) 2) (pow.f64 (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2)))) 2)))))) 2)) (pow.f64 lambda1 2))) (.f64 lambda2 (neg.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1))))))
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(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) lambda1)
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(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda1 (neg.f64 lambda2)))
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(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))
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(sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 lambda1 2)) (pow.f64 (-.f64 phi1 phi2) 2)))
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(.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))
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(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))
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(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi2)))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi2)) phi1) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (.f64 1/2 (.f64 (.f64 (pow.f64 phi1 3) (-.f64 (.f64 (+.f64 (.f64 1/24 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2)))) (.f64 1/8 (.f64 (sin.f64 (.f64 1/2 phi2)) (cos.f64 (.f64 1/2 phi2))))) (pow.f64 (-.f64 lambda1 lambda2) 2)) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi2)) (-.f64 (+.f64 1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2)) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 -2 phi2)))) 2))) (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))) (+.f64 (+.f64 (.f64 1/2 (.f64 (.f64 phi1 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) -1)) (.f64 phi2 -2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))))) (.f64 (.f64 (pow.f64 phi1 3) (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi2)))) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) 1/8)))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) -1)) (.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))))) (.f64 1/4 (pow.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) -1)) (.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 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))) 1/2))) (.f64 (.f64 (pow.f64 phi1 2) (-.f64 (+.f64 1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) -1/4) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))))) (.f64 1/4 (pow.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)) -1)) (.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)))) 1/2))))
(+.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 (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))))) (.f64 1/4 (pow.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))))) 2)))))) (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 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 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 (.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))))) (.f64 1/4 (pow.f64 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2)) (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 phi1 (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (neg.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (pow.f64 (-.f64 lambda1 lambda2) 2)))) (.f64 phi2 -2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (*.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))))))))))
(+.f64 (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 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) -1/4) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)))) (+.f64 -1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))) (.f64 1/2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (neg.f64 (/.f64 (+.f64 0 (sin.f64 (.f64 phi2 1))) 2))) (.f64 phi2 -2)))) 2))) (.f64 (pow.f64 phi1 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))))) (.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 (pow.f64 (-.f64 lambda1 lambda2) 2) (neg.f64 (/.f64 (+.f64 0 (sin.f64 (.f64 phi2 1))) 2))) (.f64 phi2 -2))) (.f64 (pow.f64 phi1 3) (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (/.f64 (+.f64 0 (sin.f64 (.f64 phi2 1))) 2) 1/6)) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (neg.f64 (/.f64 (+.f64 0 (sin.f64 (.f64 phi2 1))) 2))) (.f64 phi2 -2)) (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) -1/4) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)))) (+.f64 -1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))) (.f64 1/2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (neg.f64 (/.f64 (+.f64 0 (sin.f64 (.f64 phi2 1))) 2))) (.f64 phi2 -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 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2))))) (+.f64 (.f64 (pow.f64 phi1 2) (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) -1/4) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)))) (+.f64 -1 (pow.f64 (.f64 (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 (pow.f64 (-.f64 lambda1 lambda2) 2) (neg.f64 (/.f64 (sin.f64 (.f64 phi2 1)) 2))) (.f64 phi2 -2)))) 2)))) (+.f64 (.f64 phi1 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (neg.f64 (/.f64 (sin.f64 (.f64 phi2 1)) 2))) (.f64 phi2 -2))) (.f64 (pow.f64 phi1 3) (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (/.f64 (sin.f64 (.f64 phi2 1)) 2) 1/6)) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (neg.f64 (/.f64 (sin.f64 (.f64 phi2 1)) 2))) (.f64 phi2 -2)) (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) -1/4) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2)))) (+.f64 -1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (-.f64 lambda1 lambda2)) 2)))) (.f64 1/2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (neg.f64 (/.f64 (sin.f64 (.f64 phi2 1)) 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 phi1 (+.f64 (.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)) (.f64 1 (pow.f64 phi2 2))) phi1)) (*.f64 phi2 -1)))
(+.f64 phi1 (+.f64 (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 phi2 2)) phi1))))
(+.f64 (.f64 -1 phi2) (+.f64 phi1 (+.f64 (.f64 1/2 (/.f64 (.f64 phi2 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2))) (pow.f64 phi1 2))) (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (.f64 -1 phi2) 2)) phi1)))))
(+.f64 phi1 (+.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda1 lambda2)) 2)) (.f64 1 (pow.f64 phi2 2))) phi1)) (.f64 1/2 (/.f64 (.f64 phi2 (-.f64 (+.f64 (pow.f64 phi2 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda1 lambda2)) 2)) (.f64 1 (pow.f64 phi2 2)))) (pow.f64 phi1 2)))) (.f64 phi2 -1)))
(+.f64 (neg.f64 phi2) (+.f64 phi1 (.f64 1/2 (+.f64 (/.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 phi2 2))) (pow.f64 phi1 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 phi2 2)) phi1)))))
(+.f64 (+.f64 phi1 (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 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 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 (.f64 phi1 -1) (+.f64 phi2 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) (-.f64 lambda1 lambda2)) 2) phi1))))
(+.f64 (+.f64 phi2 (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 phi2 (+.f64 (neg.f64 phi1) (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))) 2) phi1))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1)))) 2) (.f64 phi2 (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi1 2))) (+.f64 (.f64 -1 phi1) phi2)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (-.f64 lambda1 lambda2)) 2) phi1)) (+.f64 (.f64 phi1 -1) (+.f64 phi2 (.f64 -1/2 (/.f64 (.f64 phi2 (pow.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1)))) (-.f64 lambda1 lambda2)) 2)) (pow.f64 phi1 2))))))
(+.f64 (+.f64 phi2 (neg.f64 phi1)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))) 2) phi1)) (.f64 -1/2 (/.f64 (.f64 phi2 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))) 2)) (pow.f64 phi1 2)))))
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(+.f64 (+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))) (.f64 phi2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))) (.f64 1/2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (neg.f64 (/.f64 (+.f64 0 (sin.f64 (.f64 phi1 1))) 2))) (.f64 phi1 -2)))))) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))))) (+.f64 (.f64 (pow.f64 phi2 3) (-.f64 (.f64 (/.f64 (+.f64 0 (sin.f64 (.f64 phi1 1))) 2) (.f64 1/6 (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 1/2 (.f64 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))) (+.f64 -1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))) (.f64 1/2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (neg.f64 (/.f64 (+.f64 0 (sin.f64 (.f64 phi1 1))) 2))) (.f64 phi1 -2)))) 2))) (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (neg.f64 (/.f64 (+.f64 0 (sin.f64 (.f64 phi1 1))) 2))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)) (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))))))))) (.f64 (pow.f64 phi2 2) (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))) (+.f64 -1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))) (.f64 1/2 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (neg.f64 (/.f64 (+.f64 0 (sin.f64 (.f64 phi1 1))) 2))) (.f64 phi1 -2)))) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2))) (.f64 (.f64 1/2 (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 (pow.f64 (-.f64 lambda1 lambda2) 2) (neg.f64 (/.f64 (sin.f64 (.f64 phi1 1)) 2))) (.f64 phi1 -2))) (+.f64 (.f64 (pow.f64 phi2 3) (-.f64 (.f64 (/.f64 (sin.f64 (.f64 phi1 1)) 2) (.f64 1/6 (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 1/2 (.f64 (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))) (+.f64 -1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))) (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (neg.f64 (/.f64 (sin.f64 (.f64 phi1 1)) 2))) (.f64 phi1 -2)) 1/2)) 2))) (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (neg.f64 (/.f64 (sin.f64 (.f64 phi1 1)) 2))) (.f64 phi1 -2)) (sqrt.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)) (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))))))))) (.f64 (pow.f64 phi2 2) (-.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)))) (+.f64 -1 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (.f64 1/2 phi1))) 2)))) (.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (neg.f64 (/.f64 (sin.f64 (.f64 phi1 1)) 2))) (.f64 phi1 -2)) 1/2)) 2))))))))
phi2
(+.f64 (*.f64 -1 phi1) phi2)
(+.f64 phi2 (*.f64 phi1 -1))
(+.f64 phi2 (neg.f64 phi1))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) (pow.f64 phi1 2)) (pow.f64 (.f64 -1 phi1) 2)) phi2)) (+.f64 (*.f64 -1 phi1) phi2))
(+.f64 (.f64 phi1 -1) (+.f64 phi2 (.f64 1/2 (/.f64 (-.f64 (+.f64 (pow.f64 phi1 2) (pow.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (-.f64 lambda1 lambda2)) 2)) (*.f64 1 (pow.f64 phi1 2))) phi2))))
(+.f64 (neg.f64 phi1) (+.f64 phi2 (.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 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 phi1 -1) (+.f64 (+.f64 phi2 (.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)) (.f64 1 (pow.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)) (.f64 1 (pow.f64 phi1 2))) phi2))))
(+.f64 (neg.f64 phi1) (+.f64 (.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 phi1 2)) phi2)) (+.f64 phi2 (.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 phi1 2))) (pow.f64 phi2 2))))))
(+.f64 (neg.f64 phi1) (+.f64 phi2 (+.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 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 phi1 2)) phi2)))))
(+.f64 (neg.f64 phi1) (+.f64 phi2 (.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 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 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 phi2 -1) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (*.f64 phi2 -1)))) (-.f64 lambda1 lambda2)) 2) phi2)) phi1))
(+.f64 phi1 (+.f64 (neg.f64 phi2) (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))) 2) phi2))))
(+.f64 (neg.f64 phi2) (+.f64 phi1 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))) 2) phi2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 phi1 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 phi2 2))) (+.f64 phi1 (+.f64 (.f64 -1 phi2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 -1 phi2)))) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi2)))))
(+.f64 (+.f64 (.f64 phi2 -1) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 phi2 -1)))) (-.f64 lambda1 lambda2)) 2) phi2)) phi1)) (.f64 -1/2 (/.f64 (.f64 phi1 (pow.f64 (.f64 (cos.f64 (.f64 1/2 (-.f64 phi1 (.f64 phi2 -1)))) (-.f64 lambda1 lambda2)) 2)) (pow.f64 phi2 2))))
(+.f64 (+.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 -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 -1/2 (/.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 phi1 (pow.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (*.f64 1/2 (-.f64 phi1 (neg.f64 phi2))))) 2)) (pow.f64 phi2 2)))))
(+.f64 phi1 (+.f64 (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)))))
(cos.f64 (*.f64 1/2 phi2))
(+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))
(+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) -1/2)))
(+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (cos.f64 (.f64 1/2 phi2)))) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (*.f64 1/2 phi2))))))
(+.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) -1/2))) (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (*.f64 1/2 phi2)) -1/8)))
(+.f64 (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1))) (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 -1/8 (pow.f64 phi1 2))))
(+.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)) (.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 (pow.f64 phi1 2) -1/8))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (cos.f64 (.f64 1/2 phi2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 phi1 3) (sin.f64 (.f64 1/2 phi2)))) (+.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 -1/2 (.f64 phi1 (sin.f64 (.f64 1/2 phi2)))))))
(+.f64 (.f64 (pow.f64 phi1 2) (.f64 (cos.f64 (.f64 1/2 phi2)) -1/8)) (+.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 (.f64 phi1 (.f64 (sin.f64 (.f64 1/2 phi2)) -1/2)) (.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 1/2 phi2)) 1/48)))))
(+.f64 (cos.f64 (.f64 1/2 phi2)) (+.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/48 (pow.f64 phi1 3)))) (.f64 (cos.f64 (.f64 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 (pow.f64 phi1 2) -1/8)) (+.f64 (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 -1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 1/48 (pow.f64 phi1 3))))))
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 phi1 -1))))
(cos.f64 (*.f64 1/2 (-.f64 phi2 (neg.f64 phi1))))
(cos.f64 (.f64 1/2 (-.f64 phi2 (.f64 -1 phi1))))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (+.f64 lambda1 (neg.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) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2))))
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(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) (.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2))))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (+.f64 lambda1 (neg.f64 lambda2)))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (+.f64 lambda1 (neg.f64 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 (neg.f64 lambda2)))
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(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) (.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (+.f64 lambda1 (neg.f64 lambda2)))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (+.f64 lambda1 (neg.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) lambda1) (.f64 -1 (.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 (neg.f64 lambda2)))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (+.f64 lambda1 (neg.f64 lambda2)))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)))
(.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) -1))
(.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (neg.f64 lambda2))
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(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) (.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (+.f64 lambda1 (neg.f64 lambda2)))
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(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) (.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2))))
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(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) (.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2)))
(.f64 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) -1))
(.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (neg.f64 lambda2))
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(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) (.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) (.f64 -1 (.f64 lambda2 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2))))
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(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) (.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(+.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 lambda2 (.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) 2) -1)))
(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) lambda1) (.f64 lambda2 (neg.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2))))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (+.f64 lambda1 (neg.f64 lambda2)))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2))
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(+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2)) (.f64 phi1 (.f64 (-.f64 lambda1 lambda2) (neg.f64 (/.f64 (sin.f64 (*.f64 phi2 1)) 2)))))
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(+.f64 (.f64 (pow.f64 phi1 2) (.f64 (-.f64 lambda1 lambda2) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) -1/4) (.f64 1/4 (pow.f64 (sin.f64 (.f64 1/2 phi2)) 2))))) (+.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi2)) 2) (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi2)) (sin.f64 (.f64 1/2 phi2)))) (.f64 (sin.f64 (.f64 1/2 phi2)) (.f64 (cos.f64 (.f64 1/2 phi2)) 1/8))) (.f64 (-.f64 lambda1 lambda2) (pow.f64 phi1 3)))) (.f64 phi1 (.f64 (.f64 (cos.f64 (.f64 1/2 phi2)) (.f64 (-.f64 lambda1 lambda2) (sin.f64 (.f64 1/2 phi2)))) -1))))
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(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (-.f64 lambda1 lambda2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (-.f64 lambda1 lambda2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (-.f64 lambda1 lambda2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) 2) (-.f64 lambda1 lambda2))
(.f64 (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 -1 phi1)))) 2) (-.f64 lambda1 lambda2))
(.f64 (-.f64 lambda1 lambda2) (pow.f64 (cos.f64 (.f64 1/2 (-.f64 phi2 (*.f64 phi1 -1)))) 2))
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(.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))
(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))

localize69.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (+.f64 phi1 phi2) 2) 2))) 2))
✓	0.6b	(+.f64 1 (cos.f64 (*.f64 (/.f64 (+.f64 phi1 phi2) 2) 2)))
✓	3.6b	(cos.f64 (*.f64 (/.f64 (+.f64 phi1 phi2) 2) 2))
✓	36.2b	(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (+.f64 phi1 phi2) 2) 2))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

Compiler

Compiled 194 to 98 computations (49.5% saved)

series30.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

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

rewrite146.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1292×	`rational.json-5`
1290×	`exponential.json-3`
1290×	`rational.json-1`
1290×	`rational.json-2`
1290×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	186
1	192	186
2	622	186
3	2459	186

Stop Event

1×	node limit

Counts

4 → 58

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (+.f64 phi1 phi2) 2) 2))) 2))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
(cos.f64 (*.f64 (/.f64 (+.f64 phi1 phi2) 2) 2))
(+.f64 1 (cos.f64 (*.f64 (/.f64 (+.f64 phi1 phi2) 2) 2)))
(.f64 (-.f64 lambda1 lambda2) (/.f64 (+.f64 1 (cos.f64 (.f64 (/.f64 (+.f64 phi1 phi2) 2) 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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(.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 (/.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 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 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simplify287.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1070×	`rational.json-simplify-44`
816×	`rational.json-simplify-1`
724×	`rational.json-simplify-2`
680×	`rational.json-simplify-47`
622×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	502	15916
1	1213	15770
2	2658	14750
3	5000	14586

Stop Event

1×	node limit

Counts

202 → 335

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

eval1.2s (2.5%)

Compiler: Compiled 45023 to 26633 computations (40.8% saved)

prune427.0ms (0.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	737	18	755
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	739	18	757

Error

4.5b

Counts

757 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	35.1b	(.f64 R (+.f64 (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))))))) (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2)))) (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 1/2))))
▶	39.6b	(.f64 R (+.f64 phi2 (+.f64 (neg.f64 phi1) (.f64 -1/4 (/.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)))))
▶	30.2b	(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
	47.7b	(.f64 R (.f64 (*.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))))))
▶	49.3b	(.f64 R (.f64 (*.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2)))))))
	35.2b	(.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2)))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) -1/2))))
	41.5b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1))))
	58.4b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
▶	52.0b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))
	59.4b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
	47.6b	(.f64 R (.f64 lambda2 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi1 phi2)))))))
	51.3b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
	47.1b	(.f64 R (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
	42.2b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 (-.f64 lambda1 lambda2) (/.f64 (-.f64 1 (cos.f64 (.f64 (-.f64 (/.f64 (PI.f64) 2) (/.f64 (+.f64 phi1 phi2) 2)) 2))) 2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	40.7b	(.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)))))
	45.1b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) lambda1))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
	49.0b	(*.f64 R (neg.f64 phi1))
▶	43.4b	(*.f64 R phi2)

Compiler

Compiled 754 to 548 computations (27.3% saved)

localize14.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 8 computations (60% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite119.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1900×	`rational.json-1`
1900×	`rational.json-2`
1900×	`rational.json-3`
1898×	`rational.json-5`
1896×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	80	17
2	268	17
3	948	17
4	3753	17

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

Outputs

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

simplify214.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1242×	`rational.json-simplify-49`
910×	`rational.json-simplify-47`
900×	`rational.json-simplify-2`
792×	`rational.json-simplify-1`
770×	`rational.json-simplify-111`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	528
1	46	522
2	101	522
3	257	522
4	973	522
5	2185	522
6	5479	522
7	7256	522

Stop Event

1×	node limit

Counts

42 → 14

Calls

Call 1

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

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

localize8.0ms (0%)

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

localize35.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))
✓	0.2b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))
✓	3.4b	(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))

Compiler

Compiled 46 to 22 computations (52.2% saved)

series36.0ms (0.1%)

Counts

3 → 100

Calls

27 calls:

Time	Variable		Point	Expression
10.0ms	phi1	@	-inf	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))
4.0ms	phi1	@	0	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))
3.0ms	phi2	@	-inf	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))
3.0ms	R	@	0	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))
2.0ms	lambda1	@	0	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1)))

rewrite93.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`rational.json-5`
988×	`exponential.json-3`
988×	`rational.json-1`
988×	`rational.json-2`
988×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	77
1	131	77
2	461	77
3	1820	77

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

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

Outputs

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

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

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

simplify162.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1114×	`rational.json-simplify-1`
972×	`rational.json-simplify-43`
840×	`rational.json-simplify-41`
730×	`rational.json-simplify-2`
564×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	254	5453
1	684	5317
2	1883	5073
3	4866	4889

Stop Event

1×	node limit

Counts

151 → 182

Calls

Call 1

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

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

localize50.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(+.f64 1 (cos.f64 (+.f64 phi1 phi2)))
✓	3.6b	(cos.f64 (+.f64 phi1 phi2))
✓	6.3b	(.f64 R (+.f64 phi2 (+.f64 (neg.f64 phi1) (.f64 -1/4 (/.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)))))
✓	7.0b	(/.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)

Compiler

Compiled 141 to 65 computations (53.9% saved)

series25.0ms (0.1%)

Counts

4 → 132

Calls

39 calls:

Time	Variable		Point	Expression
4.0ms	phi1	@	inf	(.f64 R (+.f64 phi2 (+.f64 (neg.f64 phi1) (.f64 -1/4 (/.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)))))
3.0ms	R	@	0	(.f64 R (+.f64 phi2 (+.f64 (neg.f64 phi1) (.f64 -1/4 (/.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)))))
1.0ms	lambda1	@	0	(.f64 R (+.f64 phi2 (+.f64 (neg.f64 phi1) (.f64 -1/4 (/.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)))))
1.0ms	phi1	@	-inf	(/.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)
1.0ms	phi1	@	inf	(/.f64 (*.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)

rewrite88.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1648×	`rational.json-5`
1646×	`exponential.json-3`
1646×	`rational.json-1`
1646×	`rational.json-2`
1646×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	211	138
2	732	138
3	2983	138

Stop Event

1×	node limit

Counts

4 → 53

Calls

Call 1

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

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

simplify202.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1290×	`rational.json-simplify-47`
1016×	`rational.json-simplify-2`
802×	`rational.json-simplify-46`
652×	`rational.json-simplify-1`
632×	`rational.json-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	334	11343
1	780	11225
2	1992	10841
3	5167	10815

Stop Event

1×	node limit

Counts

185 → 256

Calls

Call 1

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

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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))))))
✓	0.5b	(*.f64 lambda1 (sqrt.f64 1/2))
	0.6b	(+.f64 1 (cos.f64 (+.f64 phi1 phi2)))
	3.6b	(cos.f64 (+.f64 phi1 phi2))

Compiler

Compiled 73 to 40 computations (45.2% saved)

series10.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite74.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1336×	`exponential.json-3`
1336×	`rational.json-1`
1336×	`rational.json-2`
1336×	`rational.json-4`
1336×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	52
1	152	52
2	560	52
3	2359	52

Stop Event

1×	node limit

Counts

2 → 12

Calls

Call 1

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

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 (*.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 pow.f64 (*.f64 lambda1 (sqrt.f64 1/2)) 1)))))

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

simplify125.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1300×	`rational.json-simplify-2`
874×	`rational.json-simplify-47`
812×	`rational.json-simplify-49`
676×	`rational.json-simplify-55`
672×	`rational.json-simplify-43`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	131	3180
1	339	3090
2	833	2820
3	2044	2764
4	4548	2702

Stop Event

1×	node limit

Counts

60 → 65

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

eval414.0ms (0.9%)

Compiler: Compiled 19052 to 11173 computations (41.4% saved)

prune192.0ms (0.4%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	598	19	617
Fresh	3	10	13
Picked	1	0	1
Done	3	1	4
Total	605	30	635

Error

2.5b

Counts

635 → 30

Alt Table

Click to see full alt table

Status	Error	Program
▶	51.5b	(.f64 (-.f64 (.f64 -1/4 (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) phi1) R)
	52.4b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (neg.f64 lambda1)))
	52.9b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1)))
▶	49.0b	(*.f64 phi1 (neg.f64 R))
▶	30.2b	(*.f64 R (-.f64 phi2 phi1))
	35.1b	(.f64 R (+.f64 (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))))))) (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2)))) (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 1/2))))
	53.8b	(.f64 R (.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (.f64 1/2 (+.f64 phi1 phi2)) (/.f64 (PI.f64) 2))) (cos.f64 (.f64 (+.f64 phi1 phi2) -1/2))) 2) (neg.f64 lambda1)))
	47.7b	(.f64 R (.f64 (*.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))))))
	47.4b	(.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 -1 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))
	52.2b	(.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (+.f64 1 (cos.f64 phi2)) (.f64 (sin.f64 phi2) (neg.f64 phi1)))))))
▶	52.0b	(.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1)))))))
	47.4b	(.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))
	52.9b	(.f64 R (.f64 (*.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 1 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (neg.f64 phi1) phi2))))))))
	53.0b	(.f64 R (.f64 (*.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 1 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 phi1 phi2))))))))
	51.0b	(.f64 R (.f64 (*.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
	53.8b	(.f64 R (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 (+.f64 phi1 phi2) -1/2))) (neg.f64 lambda1)))
	53.9b	(.f64 R (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 1/2 (+.f64 phi1 phi2)))) (neg.f64 lambda1)))
	41.5b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1))))
▶	58.4b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
	59.4b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
	52.4b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda1)))
	52.9b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) (neg.f64 lambda1)))
	47.6b	(.f64 R (.f64 lambda2 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi1 phi2)))))))
	51.3b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
	51.2b	(.f64 R (.f64 lambda1 (neg.f64 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 phi2)))))))
	50.9b	(.f64 R (.f64 lambda1 (neg.f64 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 phi1)))))))
	47.1b	(.f64 R (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
	40.7b	(.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)))))
	45.1b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) lambda1))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
✓	43.4b	(*.f64 R phi2)

Compiler

Compiled 1186 to 906 computations (23.6% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 7 computations (56.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite77.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1552×	`rational.json-5`
1550×	`exponential.json-3`
1550×	`rational.json-1`
1550×	`rational.json-2`
1550×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	59	13
2	207	13
3	765	13
4	2976	13

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

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

Outputs

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

simplify233.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

940×	`rational.json-simplify-111`
766×	`rational.json-simplify-104`
758×	`rational.json-simplify-2`
604×	`rational.json-simplify-79`
582×	`rational.json-simplify-73`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	627
1	57	585
2	131	477
3	370	477
4	1425	477
5	3691	477
6	5664	477
7	7505	477

Stop Event

1×	node limit

Counts

33 → 17

Calls

Call 1

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

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

localize6.0ms (0%)

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

localize18.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
✓	0.2b	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2))
	3.4b	(cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))

Compiler

Compiled 46 to 22 computations (52.2% saved)

series26.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
13.0ms	phi1	@	inf	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
1.0ms	R	@	inf	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
1.0ms	lambda2	@	0	(.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2))
1.0ms	lambda2	@	0	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
1.0ms	phi1	@	-inf	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))

rewrite70.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`rational.json-5`
988×	`exponential.json-3`
988×	`rational.json-1`
988×	`rational.json-2`
988×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	131	60
2	461	60
3	1820	60

Stop Event

1×	node limit

Counts

2 → 12

Calls

Call 1

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

Outputs

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

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

simplify162.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1206×	`rational.json-simplify-2`
988×	`rational.json-simplify-47`
800×	`rational.json-simplify-49`
718×	`rational.json-simplify-111`
700×	`rational.json-simplify-43`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	137	4028
1	379	3844
2	843	3692
3	1869	3556
4	4220	3500

Stop Event

1×	node limit

Counts

96 → 114

Calls

Call 1

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

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

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))
✓	0.4b	(+.f64 1 (cos.f64 phi1))
✓	6.4b	(.f64 (-.f64 (.f64 -1/4 (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) phi1) R)
✓	7.0b	(/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)

Compiler

Compiled 96 to 52 computations (45.8% saved)

series17.0ms (0%)

Counts

4 → 96

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	R	@	0	(.f64 (-.f64 (.f64 -1/4 (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) phi1) R)
1.0ms	phi1	@	-inf	(.f64 (-.f64 (.f64 -1/4 (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) phi1) R)
1.0ms	lambda2	@	0	(.f64 (-.f64 (.f64 -1/4 (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) phi1) R)
1.0ms	phi1	@	-inf	(/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)
1.0ms	phi1	@	inf	(.f64 (-.f64 (.f64 -1/4 (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) phi1) R)

rewrite144.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1110×	`rational.json-5`
1108×	`exponential.json-3`
1108×	`rational.json-1`
1108×	`rational.json-2`
1108×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	128
1	164	128
2	524	128
3	2056	128

Stop Event

1×	node limit

Counts

4 → 35

Calls

Call 1

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

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

simplify338.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1608×	`rational.json-simplify-47`
1308×	`rational.json-simplify-41`
810×	`rational.json-simplify-54`
806×	`rational.json-simplify-49`
768×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	228	8125
1	490	8109
2	1096	7737
3	2386	7653
4	6521	7653

Stop Event

1×	node limit

Counts

131 → 196

Calls

Call 1

Inputs
(*.f64 2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1))
(+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1)) (.f64 -1/2 (*.f64 phi1 (pow.f64 (-.f64 lambda1 lambda2) 2))))
(+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1)) (+.f64 (.f64 -1/2 (.f64 phi1 (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 1/24 (*.f64 (pow.f64 phi1 3) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
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(+.f64 (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1) 0)
(+.f64 0 (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))
(-.f64 (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1) 0)
(.f64 1 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))
(.f64 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1) 1)
(.f64 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1) (/.f64 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1) (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)))
(.f64 (.f64 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1) (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) (/.f64 1 (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)))
(.f64 (.f64 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1) (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) (.f64 (/.f64 1 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) 1))
(.f64 (/.f64 1 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) (.f64 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1) (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)))
(.f64 (.f64 (.f64 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1) (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) (.f64 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1) (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))) (/.f64 (/.f64 1 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) (.f64 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1) (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1))))
(pow.f64 (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1) 1)
(+.f64 (.f64 (-.f64 (.f64 (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1) -1/4) phi1) R) 0)
(+.f64 0 (.f64 (-.f64 (.f64 (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1) -1/4) phi1) R))
(-.f64 (.f64 (-.f64 (.f64 (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1) -1/4) phi1) R) 0)
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1) -1/4) phi1) R) 1)
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1) -1/4) phi1) R) (/.f64 (.f64 (-.f64 (.f64 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1) -1/4) phi1) R) (.f64 (-.f64 (.f64 (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1) -1/4) phi1) R)))
(pow.f64 (.f64 (-.f64 (.f64 (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1) -1/4) phi1) R) 1)
(-.f64 (cos.f64 phi1) -1)
(-.f64 (+.f64 1 (cos.f64 phi1)) 0)
(*.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 (+.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 (cos.f64 phi1))) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1))) 1))
(.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1))) (.f64 (+.f64 1 (cos.f64 phi1)) (+.f64 1 (cos.f64 phi1))))
(.f64 (.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 (+.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))))
(pow.f64 (+.f64 1 (cos.f64 phi1)) 1)
(+.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) 0)
(+.f64 0 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(-.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) 0)
(/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) 1)
(/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(pow.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) 1)

Outputs
(*.f64 2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1))
(+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1)) (.f64 -1/2 (*.f64 phi1 (pow.f64 (-.f64 lambda1 lambda2) 2))))
(+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1)) (.f64 phi1 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/2)))
(+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (*.f64 -1/2 phi1)))
(+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (*.f64 phi1 -1/2)))
(+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1)) (+.f64 (.f64 -1/2 (.f64 phi1 (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 1/24 (*.f64 (pow.f64 phi1 3) (pow.f64 (-.f64 lambda1 lambda2) 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1)) (+.f64 (.f64 phi1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/2)) (.f64 1/24 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 phi1 3)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1)) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (*.f64 (pow.f64 phi1 3) 1/24))))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 phi1 -1/2)) (+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (*.f64 1/24 (pow.f64 phi1 3)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 1/24 (pow.f64 phi1 3)) (.f64 phi1 -1/2))))
(+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1)) (+.f64 (.f64 -1/2 (.f64 phi1 (pow.f64 (-.f64 lambda1 lambda2) 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 5) (pow.f64 (-.f64 lambda1 lambda2) 2))) (.f64 1/24 (*.f64 (pow.f64 phi1 3) (pow.f64 (-.f64 lambda1 lambda2) 2))))))
(+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1)) (+.f64 (.f64 phi1 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) -1/2)) (+.f64 (.f64 1/24 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 phi1 3))) (.f64 -1/720 (*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (pow.f64 phi1 5))))))
(+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1)) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 -1/2 phi1)) (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 (pow.f64 phi1 3) 1/24)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (*.f64 (pow.f64 phi1 5) -1/720)))))
(+.f64 (+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 phi1 -1/2)) (+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 1/24 (pow.f64 phi1 3))))) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (*.f64 -1/720 (pow.f64 phi1 5))))
(+.f64 (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (.f64 phi1 -1/2)) (+.f64 (.f64 2 (/.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) phi1)) (.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 (.f64 -1/720 (pow.f64 phi1 5)) (.f64 1/24 (pow.f64 phi1 3))))))
(/.f64 (*.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1)
(+.f64 (.f64 -2 (/.f64 (.f64 lambda2 (.f64 (+.f64 1 (cos.f64 phi1)) lambda1)) phi1)) (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1))
(+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (.f64 -2 (/.f64 (.f64 lambda2 (.f64 lambda1 (+.f64 1 (cos.f64 phi1)))) phi1)))
(+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (.f64 -2 (/.f64 (.f64 lambda1 (.f64 (+.f64 1 (cos.f64 phi1)) lambda2)) phi1)))
(+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (.f64 -2 (/.f64 (.f64 lambda1 (.f64 lambda2 (+.f64 1 (cos.f64 phi1)))) phi1)))
(+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (.f64 -2 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (.f64 lambda1 lambda2)) phi1)))
(+.f64 (.f64 -2 (/.f64 (.f64 lambda2 (.f64 (+.f64 1 (cos.f64 phi1)) lambda1)) phi1)) (+.f64 (.f64 (+.f64 (/.f64 (cos.f64 phi1) phi1) (/.f64 1 phi1)) (pow.f64 lambda1 2)) (/.f64 (*.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1)))
(+.f64 (.f64 -2 (/.f64 (.f64 lambda2 (.f64 lambda1 (+.f64 1 (cos.f64 phi1)))) phi1)) (+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (*.f64 (+.f64 (/.f64 (cos.f64 phi1) phi1) (/.f64 1 phi1)) (pow.f64 lambda1 2))))
(+.f64 (.f64 -2 (/.f64 (.f64 lambda1 (.f64 (+.f64 1 (cos.f64 phi1)) lambda2)) phi1)) (+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (*.f64 (+.f64 (/.f64 (cos.f64 phi1) phi1) (/.f64 1 phi1)) (pow.f64 lambda1 2))))
(+.f64 (.f64 -2 (/.f64 (.f64 lambda1 (.f64 lambda2 (+.f64 1 (cos.f64 phi1)))) phi1)) (+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (*.f64 (+.f64 (/.f64 (cos.f64 phi1) phi1) (/.f64 1 phi1)) (pow.f64 lambda1 2))))
(+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (.f64 lambda1 lambda2)) phi1)) (*.f64 (+.f64 (/.f64 (cos.f64 phi1) phi1) (/.f64 1 phi1)) (pow.f64 lambda1 2))))
(+.f64 (.f64 -2 (/.f64 (.f64 lambda2 (.f64 (+.f64 1 (cos.f64 phi1)) lambda1)) phi1)) (+.f64 (.f64 (+.f64 (/.f64 (cos.f64 phi1) phi1) (/.f64 1 phi1)) (pow.f64 lambda1 2)) (/.f64 (*.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1)))
(+.f64 (.f64 -2 (/.f64 (.f64 lambda2 (.f64 lambda1 (+.f64 1 (cos.f64 phi1)))) phi1)) (+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (*.f64 (+.f64 (/.f64 (cos.f64 phi1) phi1) (/.f64 1 phi1)) (pow.f64 lambda1 2))))
(+.f64 (.f64 -2 (/.f64 (.f64 lambda1 (.f64 (+.f64 1 (cos.f64 phi1)) lambda2)) phi1)) (+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (*.f64 (+.f64 (/.f64 (cos.f64 phi1) phi1) (/.f64 1 phi1)) (pow.f64 lambda1 2))))
(+.f64 (.f64 -2 (/.f64 (.f64 lambda1 (.f64 lambda2 (+.f64 1 (cos.f64 phi1)))) phi1)) (+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (*.f64 (+.f64 (/.f64 (cos.f64 phi1) phi1) (/.f64 1 phi1)) (pow.f64 lambda1 2))))
(+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (.f64 lambda1 lambda2)) phi1)) (*.f64 (+.f64 (/.f64 (cos.f64 phi1) phi1) (/.f64 1 phi1)) (pow.f64 lambda1 2))))
(/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1)
(+.f64 (.f64 -2 (/.f64 (.f64 lambda2 (.f64 (+.f64 1 (cos.f64 phi1)) lambda1)) phi1)) (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1))
(+.f64 (.f64 -2 (/.f64 (.f64 lambda2 (.f64 lambda1 (+.f64 1 (cos.f64 phi1)))) phi1)) (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1))
(+.f64 (.f64 -2 (/.f64 (.f64 lambda1 (.f64 (+.f64 1 (cos.f64 phi1)) lambda2)) phi1)) (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1))
(+.f64 (.f64 -2 (/.f64 (.f64 lambda1 (.f64 lambda2 (+.f64 1 (cos.f64 phi1)))) phi1)) (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1))
(+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (.f64 lambda1 lambda2)) phi1)) (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1))
(+.f64 (.f64 -2 (/.f64 (.f64 lambda2 (.f64 (+.f64 1 (cos.f64 phi1)) lambda1)) phi1)) (+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1)))
(+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (+.f64 (.f64 -2 (/.f64 (.f64 lambda2 (.f64 lambda1 (+.f64 1 (cos.f64 phi1)))) phi1)) (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1)))
(+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (+.f64 (.f64 -2 (/.f64 (.f64 lambda1 (.f64 (+.f64 1 (cos.f64 phi1)) lambda2)) phi1)) (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1)))
(+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (+.f64 (.f64 -2 (/.f64 (.f64 lambda1 (.f64 lambda2 (+.f64 1 (cos.f64 phi1)))) phi1)) (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1)))
(+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (.f64 lambda1 lambda2)) phi1)) (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1)))
(+.f64 (.f64 -2 (/.f64 (.f64 lambda2 (.f64 (+.f64 1 (cos.f64 phi1)) lambda1)) phi1)) (+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1)))
(+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (+.f64 (.f64 -2 (/.f64 (.f64 lambda2 (.f64 lambda1 (+.f64 1 (cos.f64 phi1)))) phi1)) (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1)))
(+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (+.f64 (.f64 -2 (/.f64 (.f64 lambda1 (.f64 (+.f64 1 (cos.f64 phi1)) lambda2)) phi1)) (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1)))
(+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (+.f64 (.f64 -2 (/.f64 (.f64 lambda1 (.f64 lambda2 (+.f64 1 (cos.f64 phi1)))) phi1)) (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1)))
(+.f64 (/.f64 (.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (.f64 lambda1 lambda2)) phi1)) (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1)))
(/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1)
(+.f64 (.f64 -2 (/.f64 (.f64 lambda2 (.f64 (+.f64 1 (cos.f64 phi1)) lambda1)) phi1)) (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1))
(+.f64 (.f64 -2 (/.f64 (.f64 lambda2 (.f64 lambda1 (+.f64 1 (cos.f64 phi1)))) phi1)) (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1))
(+.f64 (.f64 -2 (/.f64 (.f64 lambda1 (.f64 (+.f64 1 (cos.f64 phi1)) lambda2)) phi1)) (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1))
(+.f64 (.f64 -2 (/.f64 (.f64 lambda1 (.f64 lambda2 (+.f64 1 (cos.f64 phi1)))) phi1)) (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1))
(+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (.f64 lambda1 lambda2)) phi1)) (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1))
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2
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(+.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 1 (cos.f64 phi1))
(.f64 (.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 (+.f64 1 (cos.f64 phi1))) (*.f64 (+.f64 1 (cos.f64 phi1)) (+.f64 1 (cos.f64 phi1)))))
(+.f64 1 (cos.f64 phi1))
(/.f64 (+.f64 1 (cos.f64 phi1)) 1)
(+.f64 1 (cos.f64 phi1))
(/.f64 (+.f64 1 (cos.f64 phi1)) (/.f64 (+.f64 1 (cos.f64 phi1)) (+.f64 1 (cos.f64 phi1))))
(+.f64 1 (cos.f64 phi1))
(pow.f64 (+.f64 1 (cos.f64 phi1)) 1)
(+.f64 1 (cos.f64 phi1))
(+.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) 0)
(*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1)))
(+.f64 0 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)))
(*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1)))
(-.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) 0)
(*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1)))
(/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) 1)
(*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1)))
(/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (/.f64 (.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2))))
(*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1)))
(pow.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 (-.f64 lambda1 lambda2) 2)) 1)
(*.f64 (pow.f64 (-.f64 lambda1 lambda2) 2) (+.f64 1 (cos.f64 phi1)))

localize181.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
	0.4b	(+.f64 1 (cos.f64 phi1))
	0.5b	(*.f64 lambda1 (sqrt.f64 1/2))
✓	0.8b	(.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1)))))))

Compiler

Compiled 101 to 49 computations (51.5% saved)

series53.0ms (0.1%)

Counts

2 → 68

Calls

21 calls:

Time	Variable		Point	Expression
10.0ms	phi2	@	-inf	(.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1)))))))
9.0ms	phi2	@	inf	(.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1)))))))
4.0ms	R	@	0	(.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1)))))))
3.0ms	lambda1	@	0	(.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1)))))))
3.0ms	phi1	@	inf	(.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1)))))))

rewrite194.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	116
1	196	116
2	656	116
3	2606	116

Stop Event

1×	node limit

Counts

2 → 12

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify226.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1668×	`rational.json-simplify-55`
1264×	`rational.json-simplify-43`
1206×	`rational.json-simplify-104`
1082×	`rational.json-simplify-76`
786×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	6048
1	405	6004
2	948	5476
3	2375	5204
4	5541	5204

Stop Event

1×	node limit

Counts

80 → 101

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
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(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (neg.f64 (.f64 (sqrt.f64 1/2) (*.f64 R lambda1))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) 1/2)))))
(.f64 R (.f64 lambda1 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) 1/2)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (sin.f64 phi1) (.f64 R (.f64 phi2 lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sin.f64 phi1) (.f64 (.f64 phi2 (.f64 R lambda1)) (sqrt.f64 1/2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))) 1/2)))
(+.f64 (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (neg.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)))) (.f64 1/2 (.f64 (.f64 (sin.f64 phi1) (.f64 R (.f64 lambda1 phi2))) (*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1))))))))
(+.f64 (.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 1 (cos.f64 phi1)) 1/2))))) (.f64 1/2 (.f64 (.f64 lambda1 (.f64 (.f64 R phi2) (sin.f64 phi1))) (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1))) 1/2)))))
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(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (sin.f64 phi1) (.f64 R (.f64 phi2 lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) (+.f64 (.f64 1/8 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 R (.f64 (pow.f64 phi2 2) lambda1)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 3))))) (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (cos.f64 phi1)))))))
(+.f64 (.f64 1/8 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R (.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 lambda1 (pow.f64 phi2 2))))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 3))))) (+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sin.f64 phi1) (.f64 (.f64 phi2 (.f64 R lambda1)) (sqrt.f64 1/2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))) 1/2))))
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(+.f64 (.f64 R (.f64 lambda1 (neg.f64 (sqrt.f64 (.f64 (+.f64 1 (cos.f64 phi1)) 1/2))))) (+.f64 (.f64 1/2 (.f64 R (.f64 (.f64 lambda1 (.f64 (sin.f64 phi1) phi2)) (sqrt.f64 (.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1))) 1/2))))) (.f64 (.f64 (.f64 R lambda1) (pow.f64 (.f64 (sin.f64 phi1) phi2) 2)) (.f64 (sqrt.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 3)))) 1/8))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (sin.f64 phi1) (.f64 R (.f64 phi2 lambda1)))) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) (+.f64 (.f64 1/16 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sin.f64 phi1) 3) (.f64 R (.f64 (pow.f64 phi2 3) lambda1)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 5))))) (+.f64 (.f64 1/8 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 R (.f64 (pow.f64 phi2 2) lambda1)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 3))))) (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sin.f64 phi1) 3) (.f64 (pow.f64 phi2 3) (.f64 R lambda1)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 5))) 1/16)) (+.f64 (.f64 1/8 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R (.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 lambda1 (pow.f64 phi2 2))))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 3))))) (+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (.f64 (.f64 (sin.f64 phi1) (.f64 (.f64 phi2 (.f64 R lambda1)) (sqrt.f64 1/2))) (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))) 1/2)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 phi1) (.f64 R (.f64 lambda1 phi2))) (.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1))))))) (+.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (neg.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)))) (.f64 1/8 (.f64 (sqrt.f64 1/2) (.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 R (.f64 lambda1 (pow.f64 phi2 2)))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 3))))))) (.f64 1/16 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sin.f64 phi1) 3) (.f64 R (*.f64 lambda1 (pow.f64 phi2 3))))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 5)))))))
(+.f64 (.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 1 (cos.f64 phi1)) 1/2))))) (+.f64 (+.f64 (.f64 (.f64 (.f64 R lambda1) (pow.f64 (.f64 (sin.f64 phi1) phi2) 2)) (.f64 (sqrt.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 3)) 1/2)) 1/8)) (.f64 R (.f64 (.f64 lambda1 (pow.f64 (.f64 (sin.f64 phi1) phi2) 3)) (.f64 (sqrt.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 5)) 1/2)) 1/16)))) (.f64 1/2 (.f64 (.f64 lambda1 (.f64 (.f64 R phi2) (sin.f64 phi1))) (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1))) 1/2))))))
(+.f64 (.f64 (.f64 (.f64 R lambda1) (pow.f64 (.f64 (sin.f64 phi1) phi2) 2)) (.f64 (sqrt.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 3)))) 1/8)) (+.f64 (+.f64 (.f64 R (.f64 lambda1 (neg.f64 (sqrt.f64 (.f64 (+.f64 1 (cos.f64 phi1)) 1/2))))) (.f64 1/2 (.f64 R (.f64 (.f64 lambda1 (.f64 (sin.f64 phi1) phi2)) (sqrt.f64 (.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1))) 1/2)))))) (.f64 1/16 (.f64 (.f64 R (.f64 lambda1 (pow.f64 (.f64 (sin.f64 phi1) phi2) 3))) (sqrt.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 5)) 1/2))))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (*.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) lambda1) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (neg.f64 phi2))))))))
(neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (*.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2))))
(.f64 lambda1 (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (*.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (*.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) lambda1) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (neg.f64 phi2))))))))
(neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (*.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2))))
(.f64 lambda1 (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (*.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (*.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) lambda1) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (neg.f64 phi2))))))))
(neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (*.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2))))
(.f64 lambda1 (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (*.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (*.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) lambda1) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (neg.f64 phi2))))))))
(neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (*.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2))))
(.f64 lambda1 (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (*.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (*.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) lambda1) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (neg.f64 phi2))))))))
(neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (*.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2))))
(.f64 lambda1 (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (*.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (*.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) lambda1) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (neg.f64 phi2))))))))
(neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (*.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2))))
(.f64 lambda1 (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (*.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (*.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) lambda1) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (neg.f64 phi2))))))))
(neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (*.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2))))
(.f64 lambda1 (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (*.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (*.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) lambda1) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (neg.f64 phi2))))))))
(neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (*.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2))))
(.f64 lambda1 (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (*.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (*.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) lambda1) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (neg.f64 phi2))))))))
(neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (*.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2))))
(.f64 lambda1 (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (*.f64 (sin.f64 phi1) phi2))) 1/2))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 -1 (*.f64 (sin.f64 phi1) phi2)))))))
(.f64 (.f64 (sqrt.f64 1/2) lambda1) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (neg.f64 phi2))))))))
(neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (*.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2))))
(.f64 lambda1 (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (*.f64 (sin.f64 phi1) phi2))) 1/2))))
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(.f64 (.f64 (sqrt.f64 1/2) lambda1) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
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(+.f64 (.f64 lambda1 (neg.f64 (sqrt.f64 (.f64 (+.f64 1 (cos.f64 phi1)) 1/2)))) (+.f64 (.f64 1/2 (.f64 (.f64 lambda1 (.f64 (sin.f64 phi1) phi2)) (sqrt.f64 (.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1))) 1/2)))) (.f64 (.f64 lambda1 (pow.f64 (.f64 (sin.f64 phi1) phi2) 2)) (.f64 (sqrt.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 3)))) 1/8))))
(+.f64 (.f64 1/16 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sin.f64 phi1) 3) (.f64 (pow.f64 phi2 3) lambda1))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 5))))) (+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 1/2) lambda1) (sqrt.f64 (+.f64 1 (cos.f64 phi1))))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (sin.f64 phi1) (.f64 phi2 lambda1))) (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))))) (.f64 1/8 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (pow.f64 phi2 2) lambda1))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 3))))))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (.f64 (sqrt.f64 1/2) lambda1))) (+.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))) (.f64 (sin.f64 phi1) (.f64 (.f64 lambda1 phi2) (sqrt.f64 1/2))))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 3))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 lambda1 (pow.f64 phi2 2))))))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 5))) (.f64 (pow.f64 (sin.f64 phi1) 3) (.f64 (.f64 lambda1 (pow.f64 phi2 3)) (sqrt.f64 1/2)))))))
(+.f64 (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (neg.f64 (.f64 (sqrt.f64 1/2) lambda1))) (+.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1)))) (.f64 (.f64 lambda1 phi2) (.f64 (sqrt.f64 1/2) (sin.f64 phi1))))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 3))) (.f64 (sqrt.f64 1/2) (.f64 lambda1 (.f64 (pow.f64 phi2 2) (pow.f64 (sin.f64 phi1) 2))))))) (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 5))) (.f64 (sqrt.f64 1/2) (.f64 lambda1 (*.f64 (pow.f64 (sin.f64 phi1) 3) (pow.f64 phi2 3))))))))
(+.f64 (+.f64 (.f64 (.f64 lambda1 (.f64 (sin.f64 phi1) phi2)) (.f64 (sqrt.f64 (.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1))) 1/2)) 1/2)) (+.f64 (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 1 (cos.f64 phi1)) 1/2)))) (.f64 1/8 (.f64 (.f64 lambda1 (pow.f64 (.f64 (sin.f64 phi1) phi2) 2)) (sqrt.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 3)) 1/2)))))) (.f64 (.f64 lambda1 (pow.f64 (.f64 (sin.f64 phi1) phi2) 3)) (.f64 (sqrt.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 5)) 1/2)) 1/16)))
(+.f64 (.f64 lambda1 (neg.f64 (sqrt.f64 (.f64 (+.f64 1 (cos.f64 phi1)) 1/2)))) (+.f64 (+.f64 (.f64 1/2 (.f64 (.f64 lambda1 (.f64 (sin.f64 phi1) phi2)) (sqrt.f64 (.f64 (/.f64 1 (+.f64 1 (cos.f64 phi1))) 1/2)))) (.f64 (.f64 lambda1 (pow.f64 (.f64 (sin.f64 phi1) phi2) 2)) (.f64 (sqrt.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 3)))) 1/8))) (.f64 1/16 (.f64 (.f64 lambda1 (pow.f64 (.f64 (sin.f64 phi1) phi2) 3)) (sqrt.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (cos.f64 phi1)) 5)) 1/2))))))
(+.f64 (.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))) 0)
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(+.f64 0 (.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(-.f64 (.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))) 0)
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(/.f64 (.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))) 1)
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(/.f64 (.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))) (/.f64 (.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))) (.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1)))))))))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(pow.f64 (.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))) 1)
(.f64 (.f64 (sqrt.f64 1/2) (.f64 R lambda1)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 R (.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (neg.f64 phi2)))))))))
(.f64 R (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2)))))
(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
(+.f64 (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1)))))) 0)
(.f64 (.f64 (sqrt.f64 1/2) lambda1) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (neg.f64 phi2))))))))
(neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (*.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2))))
(.f64 lambda1 (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (*.f64 (sin.f64 phi1) phi2))) 1/2))))
(+.f64 0 (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1)))))))
(.f64 (.f64 (sqrt.f64 1/2) lambda1) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (neg.f64 phi2))))))))
(neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (*.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2))))
(.f64 lambda1 (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (*.f64 (sin.f64 phi1) phi2))) 1/2))))
(-.f64 (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1)))))) 0)
(.f64 (.f64 (sqrt.f64 1/2) lambda1) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (neg.f64 phi2))))))))
(neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (*.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2))))
(.f64 lambda1 (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (*.f64 (sin.f64 phi1) phi2))) 1/2))))
(/.f64 (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1)))))) 1)
(.f64 (.f64 (sqrt.f64 1/2) lambda1) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (neg.f64 phi2))))))))
(neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (*.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2))))
(.f64 lambda1 (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (*.f64 (sin.f64 phi1) phi2))) 1/2))))
(/.f64 (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1)))))) (/.f64 (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1)))))) (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))))
(.f64 (.f64 (sqrt.f64 1/2) lambda1) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (neg.f64 phi2))))))))
(neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (*.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2))))
(.f64 lambda1 (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (*.f64 (sin.f64 phi1) phi2))) 1/2))))
(pow.f64 (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1)))))) 1)
(.f64 (.f64 (sqrt.f64 1/2) lambda1) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 phi1) (neg.f64 phi2)) (+.f64 1 (cos.f64 phi1))))))
(.f64 lambda1 (.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi1) (neg.f64 phi2))))))))
(neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (+.f64 1 (*.f64 (sin.f64 phi1) (neg.f64 phi2)))) 1/2))))
(.f64 lambda1 (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (*.f64 (sin.f64 phi1) phi2))) 1/2))))

eval742.0ms (1.6%)

Compiler: Compiled 15809 to 10176 computations (35.6% saved)

prune501.0ms (1.1%)

Pruning

42 alts after pruning (38 fresh and 4 done)

	Pruned	Kept	Total
New	519	18	537
Fresh	4	20	24
Picked	1	0	1
Done	1	4	5
Total	525	42	567

Error

2.4b

Counts

567 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	39.5b	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 R (-.f64 phi2 phi1)))) 1)
	50.6b	(.f64 (-.f64 (.f64 -1/4 (/.f64 (*.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1)) phi1) R)
	50.2b	(.f64 (-.f64 (.f64 -1/4 (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1)) phi1) R)
	51.7b	(.f64 (-.f64 (.f64 -1/4 (/.f64 (*.f64 2 (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) phi1) R)
	51.8b	(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
	51.0b	(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (neg.f64 (.f64 (sqrt.f64 1/2) (*.f64 R lambda1))))
	52.4b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (neg.f64 lambda1)))
▶	59.9b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 (neg.f64 R)))
	52.9b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1)))
✓	49.0b	(*.f64 phi1 (neg.f64 R))
	60.4b	(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 R)))
	59.9b	(.f64 lambda2 (neg.f64 (.f64 (cos.f64 (*.f64 1/2 phi1)) R)))
✓	30.2b	(*.f64 R (-.f64 phi2 phi1))
▶	35.1b	(.f64 R (+.f64 (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))))))) (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2)))) (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 1/2))))
	60.9b	(.f64 R (.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (.f64 (+.f64 phi1 phi2) -1/2) (/.f64 (PI.f64) 2))) (cos.f64 (.f64 (+.f64 phi1 phi2) -1/2))) 2) (neg.f64 lambda2)))
	61.0b	(.f64 R (.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (.f64 1/2 (+.f64 phi1 phi2)) (/.f64 (PI.f64) 2))) (cos.f64 (.f64 (+.f64 phi1 phi2) -1/2))) 2) (neg.f64 lambda2)))
	53.8b	(.f64 R (.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (.f64 1/2 (+.f64 phi1 phi2)) (/.f64 (PI.f64) 2))) (cos.f64 (.f64 (+.f64 phi1 phi2) -1/2))) 2) (neg.f64 lambda1)))
▶	47.7b	(.f64 R (.f64 (*.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))))))
	47.4b	(.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 -1 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))
	52.2b	(.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (+.f64 1 (cos.f64 phi2)) (.f64 (sin.f64 phi2) (neg.f64 phi1)))))))
	47.4b	(.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))
	52.9b	(.f64 R (.f64 (*.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 1 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (neg.f64 phi1) phi2))))))))
	53.0b	(.f64 R (.f64 (*.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 1 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 phi1 phi2))))))))
	61.0b	(.f64 R (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 (+.f64 phi1 phi2) -1/2))) (neg.f64 lambda2)))
	53.8b	(.f64 R (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 (+.f64 phi1 phi2) -1/2))) (neg.f64 lambda1)))
	61.0b	(.f64 R (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 1/2 (+.f64 phi1 phi2)))) (neg.f64 lambda2)))
▶	53.9b	(.f64 R (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 1/2 (+.f64 phi1 phi2)))) (neg.f64 lambda1)))
	41.5b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1))))
✓	58.4b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
	59.4b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
	60.4b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda2)))
	52.4b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda1)))
	59.9b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) (neg.f64 lambda2)))
	52.9b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) (neg.f64 lambda1)))
	51.3b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
	50.9b	(.f64 R (.f64 lambda1 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) 1/2)))))
	51.2b	(.f64 R (.f64 lambda1 (neg.f64 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 phi2)))))))
	40.7b	(.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)))))
	45.1b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) lambda1))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
▶	52.8b	(*.f64 R (neg.f64 lambda1))
✓	43.4b	(*.f64 R phi2)
	52.9b	(neg.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 R lambda1) (sqrt.f64 2))))

Compiler

Compiled 1557 to 1198 computations (23.1% saved)

localize102.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2)))) (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 1/2))
✓	0.4b	(/.f64 lambda2 (sqrt.f64 1/2))
	0.6b	(+.f64 1 (cos.f64 (+.f64 phi1 phi2)))
	3.6b	(cos.f64 (+.f64 phi1 phi2))

Compiler

Compiled 154 to 90 computations (41.6% saved)

series15.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite116.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	151	54
2	569	54
3	2400	54

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify205.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

920×	`rational.json-simplify-2`
870×	`rational.json-simplify-55`
810×	`rational.json-simplify-47`
750×	`rational.json-simplify-104`
658×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	3332
1	353	3332
2	811	3248
3	1870	3196
4	5165	3196

Stop Event

1×	node limit

Counts

62 → 70

Calls

Call 1

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

Outputs
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi2))) (/.f64 lambda2 (sqrt.f64 1/2))))
(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi2))) (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2))))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (cos.f64 phi2)))) (/.f64 (.f64 phi1 (.f64 lambda2 (sin.f64 phi2))) (sqrt.f64 1/2)))) (.f64 1/2 (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi2))) (/.f64 lambda2 (sqrt.f64 1/2)))))
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(.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi2 phi1)))) (.f64 1/2 (/.f64 lambda2 (sqrt.f64 1/2))))

localize13.0ms (0%)

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

localize26.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 31 to 17 computations (45.2% saved)

series12.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite135.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`rational.json-5`
892×	`exponential.json-3`
892×	`rational.json-1`
892×	`rational.json-2`
892×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	114	27
2	410	27
3	1623	27
4	7584	27

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

Outputs

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

simplify190.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1408×	`rational.json-simplify-49`
1188×	`rational.json-simplify-43`
1114×	`rational.json-simplify-54`
868×	`rational.json-simplify-47`
762×	`rational.json-simplify-44`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	1326
1	120	1250
2	283	1220
3	715	1196
4	2926	1184
5	6748	1184

Stop Event

1×	node limit

Counts

42 → 32

Calls

Call 1

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

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

localize65.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 1/2 (+.f64 phi1 phi2)))
✓	0.2b	(.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 1/2 (+.f64 phi1 phi2)))) (neg.f64 lambda1))
✓	0.2b	(.f64 R (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 1/2 (+.f64 phi1 phi2)))) (neg.f64 lambda1)))
✓	6.5b	(sin.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 1/2 (+.f64 phi1 phi2))))

Compiler

Compiled 72 to 40 computations (44.4% saved)

series31.0ms (0.1%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	R	@	0	(.f64 R (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 1/2 (+.f64 phi1 phi2)))) (neg.f64 lambda1)))
2.0ms	lambda1	@	0	(.f64 R (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 1/2 (+.f64 phi1 phi2)))) (neg.f64 lambda1)))
2.0ms	lambda1	@	inf	(.f64 R (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 1/2 (+.f64 phi1 phi2)))) (neg.f64 lambda1)))
1.0ms	phi2	@	0	(.f64 R (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 1/2 (+.f64 phi1 phi2)))) (neg.f64 lambda1)))
1.0ms	phi1	@	0	(.f64 R (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 1/2 (+.f64 phi1 phi2)))) (neg.f64 lambda1)))

rewrite189.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1058×	`rational.json-5`
1056×	`exponential.json-3`
1056×	`rational.json-1`
1056×	`rational.json-2`
1056×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	104
1	165	104
2	533	104
3	2110	104

Stop Event

1×	node limit

Counts

4 → 53

Calls

Call 1

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

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

simplify304.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1384×	`rational.json-simplify-47`
900×	`rational.json-simplify-44`
854×	`rational.json-simplify-2`
838×	`rational.json-simplify-1`
736×	`rational.json-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	235	8491
1	600	7543
2	1674	7299
3	3850	7113

Stop Event

1×	node limit

Counts

185 → 201

Calls

Call 1

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

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

localize49.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2)))))
✓	0.4b	(*.f64 (sqrt.f64 1/2) lambda2)
	0.6b	(+.f64 1 (cos.f64 (+.f64 phi1 phi2)))
	3.6b	(cos.f64 (+.f64 phi1 phi2))

Compiler

Compiled 63 to 34 computations (46% saved)

series9.0ms (0%)

Counts

2 → 16

Calls

12 calls:

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

rewrite107.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1274×	`exponential.json-3`
1274×	`rational.json-1`
1274×	`rational.json-2`
1274×	`rational.json-4`
1274×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	141	48
2	526	44
3	2238	44

Stop Event

1×	node limit

Counts

2 → 12

Calls

Call 1

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

Outputs

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

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

simplify209.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1078×	`rational.json-simplify-2`
1032×	`rational.json-simplify-46`
766×	`rational.json-simplify-47`
640×	`rational.json-simplify-111`
612×	`rational.json-simplify-55`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	125	2140
1	305	2112
2	725	1914
3	1760	1798
4	3969	1748
5	7762	1748

Stop Event

1×	node limit

Counts

28 → 62

Calls

Call 1

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

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

eval739.0ms (1.6%)

Compiler: Compiled 22944 to 14507 computations (36.8% saved)

prune362.0ms (0.8%)

Pruning

49 alts after pruning (42 fresh and 7 done)

	Pruned	Kept	Total
New	654	11	665
Fresh	2	31	33
Picked	0	1	1
Done	2	6	8
Total	658	49	707

Error

0.5b

Counts

707 → 49

Alt Table

Click to see full alt table

Status	Error	Program
	39.5b	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 R (-.f64 phi2 phi1)))) 1)
	50.6b	(.f64 (-.f64 (.f64 -1/4 (/.f64 (*.f64 (pow.f64 lambda2 2) (+.f64 1 (cos.f64 phi1))) phi1)) phi1) R)
	50.2b	(.f64 (-.f64 (.f64 -1/4 (/.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) (pow.f64 lambda1 2)) phi1)) phi1) R)
	51.7b	(.f64 (-.f64 (.f64 -1/4 (/.f64 (*.f64 2 (pow.f64 (-.f64 lambda1 lambda2) 2)) phi1)) phi1) R)
	51.8b	(.f64 (.f64 R lambda1) (neg.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 phi1) (-.f64 1 (.f64 (sin.f64 phi1) phi2))) 1/2))))
	51.0b	(.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi1))) (neg.f64 (.f64 (sqrt.f64 1/2) (*.f64 R lambda1))))
	53.8b	(.f64 (sin.f64 (.f64 1/2 (-.f64 (PI.f64) phi1))) (*.f64 R (neg.f64 lambda1)))
	52.4b	(.f64 (cos.f64 (.f64 1/2 phi2)) (*.f64 R (neg.f64 lambda1)))
✓	59.9b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 lambda2 (neg.f64 R)))
	52.9b	(.f64 (cos.f64 (.f64 1/2 phi1)) (*.f64 R (neg.f64 lambda1)))
✓	49.0b	(*.f64 phi1 (neg.f64 R))
	59.9b	(.f64 lambda2 (.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 R)))
	60.4b	(.f64 lambda2 (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 R)))
✓	30.2b	(*.f64 R (-.f64 phi2 phi1))
	33.1b	(.f64 R (+.f64 (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 1/2 (-.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 phi2)))))))) (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2)))) (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 1/2))))
	33.0b	(.f64 R (+.f64 (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))))))) (.f64 (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 1/2))))
	37.6b	(.f64 R (+.f64 (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))))))) (.f64 (sqrt.f64 (+.f64 1 (cos.f64 phi2))) (*.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 1/2))))
	60.9b	(.f64 R (.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (.f64 (+.f64 phi1 phi2) -1/2) (/.f64 (PI.f64) 2))) (cos.f64 (.f64 (+.f64 phi1 phi2) -1/2))) 2) (neg.f64 lambda2)))
	61.0b	(.f64 R (.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (.f64 1/2 (+.f64 phi1 phi2)) (/.f64 (PI.f64) 2))) (cos.f64 (.f64 (+.f64 phi1 phi2) -1/2))) 2) (neg.f64 lambda2)))
	53.8b	(.f64 R (.f64 (/.f64 (+.f64 (sin.f64 (+.f64 (.f64 1/2 (+.f64 phi1 phi2)) (/.f64 (PI.f64) 2))) (cos.f64 (.f64 (+.f64 phi1 phi2) -1/2))) 2) (neg.f64 lambda1)))
	45.7b	(.f64 R (.f64 (.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))
	52.9b	(.f64 R (.f64 (*.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (neg.f64 phi1) phi2)))))))
	52.9b	(.f64 R (.f64 (*.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 phi1 phi2)))))))
✓	47.7b	(.f64 R (.f64 (*.f64 (sqrt.f64 1/2) lambda2) (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))))))
	47.4b	(.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 -1 (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))
	52.2b	(.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 (+.f64 1 (cos.f64 phi2)) (.f64 (sin.f64 phi2) (neg.f64 phi1)))))))
	47.4b	(.f64 R (.f64 (.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 1 (-.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))
	52.9b	(.f64 R (.f64 (*.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 1 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (-.f64 (neg.f64 phi1) phi2))))))))
	53.0b	(.f64 R (.f64 (*.f64 lambda1 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (+.f64 1 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (+.f64 phi1 phi2))))))))
	61.0b	(.f64 R (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 (+.f64 phi1 phi2) -1/2))) (neg.f64 lambda2)))
	53.8b	(.f64 R (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 (+.f64 phi1 phi2) -1/2))) (neg.f64 lambda1)))
	61.0b	(.f64 R (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) 2) (*.f64 1/2 (+.f64 phi1 phi2)))) (neg.f64 lambda2)))
	61.4b	(.f64 R (.f64 (sin.f64 (*.f64 phi2 -1/2)) (neg.f64 lambda1)))
	61.3b	(.f64 R (.f64 (sin.f64 (*.f64 -1/2 phi1)) (neg.f64 lambda1)))
	41.5b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1))))
✓	58.4b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda2)))
	59.4b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2))) lambda1))
	60.4b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda2)))
	52.4b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi2)) (neg.f64 lambda1)))
	59.9b	(.f64 R (.f64 (cos.f64 (*.f64 1/2 phi1)) (neg.f64 lambda2)))
	50.4b	(.f64 R (.f64 lambda2 (sqrt.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) 1/2))))
	51.3b	(.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))
	50.9b	(.f64 R (.f64 lambda1 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 (cos.f64 phi1)) 1/2)))))
	51.2b	(.f64 R (.f64 lambda1 (neg.f64 (sqrt.f64 (*.f64 1/2 (+.f64 1 (cos.f64 phi2)))))))
	40.7b	(.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)))))
	45.1b	(.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) lambda1))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
✓	52.8b	(*.f64 R (neg.f64 lambda1))
✓	43.4b	(*.f64 R phi2)
	52.9b	(neg.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 R lambda1) (sqrt.f64 2))))

Compiler

Compiled 979 to 760 computations (22.4% saved)

regimes2.5s (5.4%)

Counts

69 → 6

Calls

Call 1

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

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

Calls

9 calls:

902.0ms	R
416.0ms	phi1
319.0ms	(-.f64 lambda1 lambda2)
288.0ms	lambda2
203.0ms	phi2

Results

Error	Segments	Branch
16.9b	15	`R`
17.1b	3	`lambda1`
15.9b	5	`lambda2`
14.4b	9	`phi1`
17.8b	3	`phi2`
19.1b	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)))))`
19.1b	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))))`
19.1b	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)))`
12.8b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1249 to 705 computations (43.6% saved)

bsearch2.0ms (0%)

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	-2.2993286331747812e+51	-1.8522035267605528e+50
0.0ms	-7.114968323551678e+75	-1.9952061790161627e+74
0.0ms	-9.936343067731997e+79	-4.930227923166145e+77
0.0ms	-4.955959877215475e+102	-1.210603103799861e+101
0.0ms	-1.2967969403990907e+121	-4.40258930144389e+119

Compiler

Compiled 43 to 28 computations (34.9% saved)

regimes2.2s (4.6%)

Counts

67 → 6

Calls

Call 1

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

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

Calls

9 calls:

849.0ms	R
411.0ms	phi1
199.0ms	(-.f64 lambda1 lambda2)
191.0ms	phi2
173.0ms	lambda1

Results

Error	Segments	Branch
20.0b	13	`R`
16.6b	6	`lambda1`
16.7b	6	`lambda2`
16.8b	7	`phi1`
18.0b	3	`phi2`
19.1b	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)))))`
19.1b	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))))`
19.1b	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)))`
14.8b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1177 to 667 computations (43.3% saved)

bsearch2.0ms (0%)

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	-2.2993286331747812e+51	-1.8522035267605528e+50
0.0ms	-7.114968323551678e+75	-1.9952061790161627e+74
0.0ms	-9.936343067731997e+79	-4.930227923166145e+77
0.0ms	-4.955959877215475e+102	-1.210603103799861e+101
0.0ms	-1.2967969403990907e+121	-4.40258930144389e+119

Compiler

Compiled 43 to 28 computations (34.9% saved)

regimes3.2s (6.9%)

Counts

63 → 6

Calls

Call 1

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

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

Calls

9 calls:

1.1s	R
525.0ms	phi1
384.0ms	lambda1
308.0ms	phi2
289.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
20.1b	13	`R`
18.6b	5	`lambda1`
18.6b	5	`lambda2`
16.8b	7	`phi1`
18.1b	3	`phi2`
19.1b	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)))))`
19.1b	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))))`
19.1b	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)))`
14.9b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1083 to 619 computations (42.8% saved)

bsearch2.0ms (0%)

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	-2.2993286331747812e+51	-1.8522035267605528e+50
0.0ms	-7.114968323551678e+75	-1.9952061790161627e+74
0.0ms	-9.936343067731997e+79	-4.930227923166145e+77
0.0ms	-4.955959877215475e+102	-1.210603103799861e+101
0.0ms	-1.2967969403990907e+121	-4.40258930144389e+119

Compiler

Compiled 43 to 28 computations (34.9% saved)

regimes2.8s (6%)

Counts

61 → 6

Calls

Call 1

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

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

Calls

9 calls:

676.0ms	R
584.0ms	lambda2
496.0ms	phi1
333.0ms	lambda1
290.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
20.1b	13	`R`
18.6b	5	`lambda1`
18.7b	5	`lambda2`
16.8b	7	`phi1`
18.1b	3	`phi2`
19.1b	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)))))`
19.1b	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))))`
19.1b	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)))`
14.9b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1037 to 588 computations (43.3% saved)

bsearch2.0ms (0%)

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	-2.2993286331747812e+51	-1.8522035267605528e+50
0.0ms	-7.114968323551678e+75	-1.9952061790161627e+74
0.0ms	-9.936343067731997e+79	-4.930227923166145e+77
0.0ms	-4.955959877215475e+102	-1.210603103799861e+101
0.0ms	-1.2967969403990907e+121	-4.40258930144389e+119

Compiler

Compiled 43 to 28 computations (34.9% saved)

regimes2.9s (6.1%)

Counts

60 → 7

Calls

Call 1

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

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

Calls

9 calls:

468.0ms	lambda2
442.0ms	R
439.0ms	(-.f64 lambda1 lambda2)
370.0ms	phi1
352.0ms	lambda1

Results

Error	Segments	Branch
24.9b	8	`R`
20.0b	5	`lambda1`
20.6b	4	`lambda2`
18.4b	7	`phi1`
19.8b	5	`phi2`
19.1b	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)))))`
19.1b	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))))`
19.1b	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)))`
19.1b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 1016 to 574 computations (43.5% saved)

bsearch264.0ms (0.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
28.0ms	5.8911674045595446e-158	1.0706484310242758e-157
34.0ms	-5.3501372442672034e-95	-1.3682237577822243e-95
43.0ms	-7.222071567775639e-60	-1.078395020612546e-60
52.0ms	-5.4128475689811156e-6	-1.1142342803615014e-7
47.0ms	-1930665714220323000.0	-17139066490605300.0
56.0ms	-4.010503547113015e+102	-1.6738523443275668e+100

Results

159.0ms	466×	body	256	valid
47.0ms	71×	body	512	valid
38.0ms	39×	body	1024	valid
2.0ms	6×	body	256	infinite

Compiler

Compiled 1391 to 932 computations (33% saved)

regimes1.6s (3.5%)

Counts

51 → 7

Calls

Call 1

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

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

Calls

6 calls:

463.0ms	R
300.0ms	lambda1
272.0ms	phi1
220.0ms	phi2
211.0ms	(-.f64 lambda1 lambda2)

Results

Error	Segments	Branch
24.9b	8	`R`
20.0b	5	`lambda1`
20.6b	4	`lambda2`
18.4b	7	`phi1`
19.8b	5	`phi2`
19.1b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 697 to 398 computations (42.9% saved)

bsearch372.0ms (0.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
28.0ms	5.8911674045595446e-158	1.0706484310242758e-157
98.0ms	-5.3501372442672034e-95	-1.3682237577822243e-95
52.0ms	-7.222071567775639e-60	-1.078395020612546e-60
61.0ms	-5.4128475689811156e-6	-1.1142342803615014e-7
58.0ms	-1930665714220323000.0	-17139066490605300.0
74.0ms	-4.010503547113015e+102	-1.6738523443275668e+100

Results

227.0ms	449×	body	256	valid
63.0ms	85×	body	512	valid
56.0ms	42×	body	1024	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 1293 to 890 computations (31.2% saved)

regimes1.2s (2.5%)

Counts

41 → 7

Calls

Call 1

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

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

Calls

6 calls:

298.0ms	phi1
271.0ms	(-.f64 lambda1 lambda2)
185.0ms	phi2
140.0ms	lambda2
134.0ms	R

Results

Error	Segments	Branch
25.9b	7	`R`
21.3b	5	`lambda1`
20.4b	5	`lambda2`
18.4b	7	`phi1`
21.2b	3	`phi2`
20.5b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 497 to 289 computations (41.9% saved)

bsearch971.0ms (2.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
34.0ms	5.8911674045595446e-158	1.0706484310242758e-157
45.0ms	-5.3501372442672034e-95	-1.3682237577822243e-95
675.0ms	-7.222071567775639e-60	-1.078395020612546e-60
57.0ms	-59.71301746875314	-0.6598255113736368
117.0ms	-2.1700057598755233e+28	-2.9953060983371154e+25
44.0ms	-2.438226379443725e+54	-3.214555732559263e+50

Results

775.0ms	499×	body	256	valid
147.0ms	56×	body	1024	valid
34.0ms	53×	body	512	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 1453 to 1044 computations (28.1% saved)

regimes1.1s (2.3%)

Counts

40 → 7

Calls

Call 1

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

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

Calls

6 calls:

241.0ms	phi1
205.0ms	R
181.0ms	(-.f64 lambda1 lambda2)
155.0ms	lambda1
147.0ms	lambda2

Results

Error	Segments	Branch
25.9b	7	`R`
21.4b	5	`lambda1`
20.4b	5	`lambda2`
18.6b	7	`phi1`
21.2b	3	`phi2`
20.5b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 472 to 278 computations (41.1% saved)

bsearch285.0ms (0.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
25.0ms	5.8911674045595446e-158	1.0706484310242758e-157
34.0ms	-5.3501372442672034e-95	-1.3682237577822243e-95
45.0ms	-7.222071567775639e-60	-1.078395020612546e-60
60.0ms	-5.4128475689811156e-6	-1.1142342803615014e-7
62.0ms	-2.1700057598755233e+28	-2.9953060983371154e+25
59.0ms	-2.438226379443725e+54	-3.214555732559263e+50

Results

198.0ms	523×	body	256	valid
38.0ms	41×	body	1024	valid
27.0ms	44×	body	512	valid

Compiler

Compiled 1153 to 864 computations (25.1% saved)

regimes609.0ms (1.3%)

Counts

26 → 5

Calls

Call 1

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

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

Calls

6 calls:

121.0ms	phi1
115.0ms	(-.f64 lambda1 lambda2)
105.0ms	lambda1
91.0ms	lambda2
90.0ms	R

Results

Error	Segments	Branch
27.3b	5	`R`
23.1b	5	`lambda1`
22.8b	5	`lambda2`
19.8b	5	`phi1`
21.2b	3	`phi2`
20.5b	6	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 268 to 158 computations (41% saved)

bsearch141.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
24.0ms	5.8911674045595446e-158	1.0706484310242758e-157
33.0ms	-5.3501372442672034e-95	-1.3682237577822243e-95
37.0ms	-7.222071567775639e-60	-1.078395020612546e-60
46.0ms	-5.4128475689811156e-6	-1.1142342803615014e-7

Results

92.0ms	299×	body	256	valid
22.0ms	33×	body	512	valid
18.0ms	20×	body	1024	valid

Compiler

Compiled 705 to 512 computations (27.4% saved)

regimes379.0ms (0.8%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

5 calls:

109.0ms	phi2
98.0ms	phi1
62.0ms	lambda1
51.0ms	lambda2
49.0ms	R

Results

Error	Segments	Branch
29.0b	3	`R`
24.7b	3	`lambda1`
25.0b	3	`lambda2`
26.5b	5	`phi1`
25.0b	6	`phi2`

Compiler

Compiled 222 to 128 computations (42.3% saved)

bsearch122.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	3.0837652507379806e-99	6.331132846306526e-91
67.0ms	-3.177200146596061e+171	-4.170798021216106e+167

Results

66.0ms	210×	body	256	valid
23.0ms	37×	body	512	valid
23.0ms	25×	body	1024	valid
2.0ms	5×	body	256	infinite
1.0ms	1×	body	512	infinite

Compiler

Compiled 512 to 376 computations (26.6% saved)

regimes487.0ms (1%)

Counts

21 → 6

Calls

Call 1

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

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

Calls

5 calls:

189.0ms	R
91.0ms	phi1
86.0ms	phi2
58.0ms	lambda1
53.0ms	lambda2

Results

Error	Segments	Branch
29.0b	3	`R`
25.0b	3	`lambda1`
25.0b	3	`lambda2`
26.5b	5	`phi1`
25.0b	6	`phi2`

Compiler

Compiled 200 to 118 computations (41% saved)

bsearch608.0ms (1.3%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
48.0ms	5.018915792808764e-40	8.673920667015639e-38
182.0ms	2.9481772950669986e-143	2.1485337602229856e-128
174.0ms	4.5602894335126765e-239	2.7431723419608913e-237
37.0ms	1.1307585944711147e-272	3.6669557103368796e-272
167.0ms	-1.448150866469966e-97	-2.5839699139412045e-105

Results

518.0ms	528×	body	256	valid
42.0ms	36×	body	1024	valid
31.0ms	44×	body	512	valid

Compiler

Compiled 1007 to 760 computations (24.5% saved)

regimes505.0ms (1.1%)

Counts

19 → 5

Calls

Call 1

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

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

Calls

5 calls:

146.0ms	lambda2
93.0ms	lambda1
90.0ms	phi2
83.0ms	phi1
18.0ms	R

Results

Error	Segments	Branch
30.2b	1	`R`
26.7b	2	`lambda1`
28.8b	2	`lambda2`
27.2b	5	`phi1`
26.0b	5	`phi2`

Compiler

Compiled 180 to 107 computations (40.6% saved)

bsearch432.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
54.0ms	5.018915792808764e-40	8.673920667015639e-38
124.0ms	2.9481772950669986e-143	2.1485337602229856e-128
54.0ms	4.5602894335126765e-239	2.7431723419608913e-237
199.0ms	-5.165324294985982e-249	-1.2875769301422061e-252

Results

359.0ms	447×	body	256	valid
32.0ms	27×	body	1024	valid
27.0ms	38×	body	512	valid

Compiler

Compiled 877 to 668 computations (23.8% saved)

regimes301.0ms (0.6%)

Counts

7 → 5

Calls

Call 1

Inputs
(*.f64 R phi2)
(*.f64 R (neg.f64 lambda1))
(*.f64 R (neg.f64 phi1))
(*.f64 phi1 (neg.f64 R))
(*.f64 R (-.f64 phi2 phi1))
(*.f64 R (+.f64 phi2 (neg.f64 phi1)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 R (-.f64 phi2 phi1)))) 1)

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

Calls

5 calls:

178.0ms	phi2
54.0ms	phi1
28.0ms	lambda2
28.0ms	lambda1
9.0ms	R

Results

Error	Segments	Branch
30.2b	1	`R`
26.9b	2	`lambda1`
28.9b	2	`lambda2`
27.7b	5	`phi1`
26.5b	5	`phi2`

Compiler

Compiled 72 to 47 computations (34.7% saved)

bsearch374.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
56.0ms	5.018915792808764e-40	8.673920667015639e-38
127.0ms	2.9481772950669986e-143	2.1485337602229856e-128
129.0ms	4.5602894335126765e-239	2.7431723419608913e-237
61.0ms	-5.165324294985982e-249	-1.2875769301422061e-252

Results

299.0ms	444×	body	256	valid
32.0ms	27×	body	1024	valid
30.0ms	41×	body	512	valid

Compiler

Compiled 717 to 540 computations (24.7% saved)

regimes415.0ms (0.9%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

5 calls:

159.0ms	lambda1
156.0ms	phi1
35.0ms	R
32.0ms	phi2
30.0ms	lambda2

Results

Error	Segments	Branch
41.0b	4	`R`
37.1b	3	`lambda1`
39.4b	5	`lambda2`
31.1b	6	`phi1`
30.0b	5	`phi2`

Compiler

Compiled 50 to 37 computations (26% saved)

bsearch458.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
84.0ms	5.018915792808764e-40	8.673920667015639e-38
163.0ms	2.9481772950669986e-143	2.1485337602229856e-128
158.0ms	4.5602894335126765e-239	2.7431723419608913e-237
53.0ms	-5.165324294985982e-249	-1.2875769301422061e-252

Results

262.0ms	451×	body	256	valid
117.0ms	21×	body	1024	valid
67.0ms	40×	body	512	valid

Compiler

Compiled 678 to 533 computations (21.4% saved)

regimes223.0ms (0.5%)

Accuracy

Total -25.4b remaining (-70.4%)

Threshold costs -25.4b (-70.4%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

160.0ms	lambda2
23.0ms	phi1
20.0ms	lambda1
11.0ms	phi2
6.0ms	R

Results

Error	Segments	Branch
43.4b	1	`R`
39.0b	2	`lambda1`
41.8b	2	`lambda2`
40.8b	5	`phi1`
36.1b	2	`phi2`

Compiler

Compiled 42 to 33 computations (21.4% saved)

bsearch49.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
49.0ms	5.018915792808764e-40	8.673920667015639e-38

Results

34.0ms	97×	body	256	valid
6.0ms	9×	body	512	valid
6.0ms	6×	body	1024	valid

Compiler

Compiled 178 to 133 computations (25.3% saved)

simplify119.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	251	3196

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 lambda1 lambda2) -10000000000000000373409337471459889719393275754491820381027730410378005080671497101378613371421126415052399029342192009216) (.f64 R (+.f64 (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))))))) (.f64 (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 1/2)))) (if (<=.f64 (-.f64 lambda1 lambda2) -3999999999999999908198053060981346513787370879696600024519983898927973808723159645213045177926046187520) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -50000000000000000013304932354183638268701200590600404549065988726744879458156544) (.f64 R (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -5000000000000000235300672479527347945779800703933315382139354767449124765696) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -1999999999999999986441897348723255952923416883888128) (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (.f64 R (-.f64 phi2 phi1)))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -10000000000000000373409337471459889719393275754491820381027730410378005080671497101378613371421126415052399029342192009216) (.f64 R (+.f64 (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))))))) (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2)))) (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 1/2)))) (if (<=.f64 (-.f64 lambda1 lambda2) -3999999999999999908198053060981346513787370879696600024519983898927973808723159645213045177926046187520) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -50000000000000000013304932354183638268701200590600404549065988726744879458156544) (.f64 R (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -5000000000000000235300672479527347945779800703933315382139354767449124765696) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -1999999999999999986441897348723255952923416883888128) (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (.f64 R (-.f64 phi2 phi1)))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -10000000000000000373409337471459889719393275754491820381027730410378005080671497101378613371421126415052399029342192009216) (.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2)))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) -1/2)))) (if (<=.f64 (-.f64 lambda1 lambda2) -3999999999999999908198053060981346513787370879696600024519983898927973808723159645213045177926046187520) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -50000000000000000013304932354183638268701200590600404549065988726744879458156544) (.f64 R (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -5000000000000000235300672479527347945779800703933315382139354767449124765696) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -1999999999999999986441897348723255952923416883888128) (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (*.f64 R (-.f64 phi2 phi1)))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -10000000000000000373409337471459889719393275754491820381027730410378005080671497101378613371421126415052399029342192009216) (.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2)))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) -1/2)))) (if (<=.f64 (-.f64 lambda1 lambda2) -3999999999999999908198053060981346513787370879696600024519983898927973808723159645213045177926046187520) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -50000000000000000013304932354183638268701200590600404549065988726744879458156544) (.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2)))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) -1/2)))) (if (<=.f64 (-.f64 lambda1 lambda2) -5000000000000000235300672479527347945779800703933315382139354767449124765696) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -1999999999999999986441897348723255952923416883888128) (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (.f64 R (-.f64 phi2 phi1)))))))
(if (<=.f64 phi1 -16999999999999999687548481198199885520374802511651306369906205132529469537145924881711613414394036224) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -95000000000000000) (.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))))) (if (<=.f64 phi1 -3246626956972881/1180591620717411303424) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -551821675271585/452312848583266388373324160190187140051835877600158453279131187530910662656) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 phi1 -126821299469787/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 3246211519334497/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (*.f64 R (-.f64 phi2 phi1))))))))
(if (<=.f64 phi1 -17999999999999999897718261530532710659157074050397725173125021793518205539544203961683388933500567552) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -380000000000000000) (.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))))) (if (<=.f64 phi1 -4457913959828945/37778931862957161709568) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -4884978764699277/3618502788666131106986593281521497120414687020801267626233049500247285301248) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 phi1 -42273766489929/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 3246211519334497/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (.f64 R (-.f64 phi2 phi1))))))))
(if (<=.f64 phi1 -330000000000000004409053041463916596751399087243264) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -529999999999999968559497216) (.f64 R (.f64 lambda2 (sqrt.f64 (.f64 (+.f64 1 (cos.f64 phi1)) 1/2)))) (if (<=.f64 phi1 -7656119366529843/9007199254740992) (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) lambda1))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 phi1 -4052723123306067/3618502788666131106986593281521497120414687020801267626233049500247285301248) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 phi1 -211368832449645/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 3246211519334497/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (*.f64 R (-.f64 phi2 phi1))))))))
(if (<=.f64 phi1 -47999999999999999674605536369358142870162005213315072) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -20499999999999999035444297728) (.f64 R (.f64 lambda2 (sqrt.f64 (.f64 (+.f64 1 (cos.f64 phi1)) 1/2)))) (if (<=.f64 phi1 -3872340515953109/18889465931478580854784) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -3618502788666131/1809251394333065553493296640760748560207343510400633813116524750123642650624) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 phi1 -7815949715471317/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 3246211519334497/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (*.f64 R (-.f64 phi2 phi1))))))))
(if (<=.f64 phi1 -1983393922805251/4722366482869645213696) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -4161278206966051/904625697166532776746648320380374280103671755200316906558262375061821325312) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 phi1 -3757668132438133/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 3246211519334497/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (*.f64 R (-.f64 phi2 phi1))))))
(if (<=.f64 lambda1 -2850000000000000188597008308653020928279511191365867163400488247738010591569036000407836778716669671989821116553299689987433246813237896722674410826397906303305375547392) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) (if (<=.f64 lambda1 5687876567655377/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (.f64 R (-.f64 phi2 phi1)) (.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))
(if (<=.f64 phi2 -492525077454931/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 7918067634262499/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (if (<=.f64 phi2 2199467820938877/29326237612518360273324834748083034614499060912302748190148044495166529541481373859169571088204419456439664137440255713356182385415243137741255706666562129531405183291370713192721204491754474266874920968429307133415352886893299285622127397997029678383104) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi2 5663458069607753/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 5670233501203789/1532495540865888858358347027150309183618739122183602176) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 lambda1))) (.f64 R (-.f64 phi2 phi1)))))))
(if (<=.f64 phi2 -8061134813471455/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 2162810023923229/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 lambda1))) (if (<=.f64 phi2 3620108141084501/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 8336775742310435/12259964326927110866866776217202473468949912977468817408) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 lambda1))) (*.f64 R (-.f64 phi2 phi1))))))
(if (<=.f64 phi2 -2166833037861127/1031825256124346184281913642415071497107123683664299847906173259817722465931103241160971202905580445106785927721205329450942085077153682689942458942310428861149192742185556805017053745461770392681687954898849977351851617759280394021168743942904368118143630040815894528) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 6745034650879223/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi2 5993757216606705/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 4980610507814139/766247770432944429179173513575154591809369561091801088) (.f64 R (neg.f64 lambda1)) (*.f64 R (-.f64 phi2 phi1))))))
(if (<=.f64 phi2 -3198658293985473/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264) (.f64 R (neg.f64 phi1)) (if (<=.f64 phi2 2162810023923229/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi2 8950677443466013/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792) (.f64 R (neg.f64 phi1)) (if (<=.f64 phi2 1915619426082361/95780971304118053647396689196894323976171195136475136) (.f64 R (neg.f64 lambda1)) (*.f64 R phi2)))))
(if (<=.f64 phi2 4750736176684255/766247770432944429179173513575154591809369561091801088) (.f64 R (neg.f64 lambda1)) (.f64 R phi2))
(*.f64 R phi2)

Outputs
(if (<=.f64 (-.f64 lambda1 lambda2) -10000000000000000373409337471459889719393275754491820381027730410378005080671497101378613371421126415052399029342192009216) (.f64 R (+.f64 (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))))))) (.f64 (sqrt.f64 (-.f64 (+.f64 1 (.f64 (cos.f64 phi1) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (sin.f64 phi2)))) (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 1/2)))) (if (<=.f64 (-.f64 lambda1 lambda2) -3999999999999999908198053060981346513787370879696600024519983898927973808723159645213045177926046187520) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -50000000000000000013304932354183638268701200590600404549065988726744879458156544) (.f64 R (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -5000000000000000235300672479527347945779800703933315382139354767449124765696) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -1999999999999999986441897348723255952923416883888128) (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (.f64 R (-.f64 phi2 phi1)))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -10000000000000000373409337471459889719393275754491820381027730410378005080671497101378613371421126415052399029342192009216) (.f64 R (+.f64 (neg.f64 (.f64 lambda1 (sqrt.f64 (.f64 1/2 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))))))) (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2)))) (.f64 (/.f64 lambda2 (sqrt.f64 1/2)) 1/2)))) (if (<=.f64 (-.f64 lambda1 lambda2) -3999999999999999908198053060981346513787370879696600024519983898927973808723159645213045177926046187520) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -50000000000000000013304932354183638268701200590600404549065988726744879458156544) (.f64 R (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -5000000000000000235300672479527347945779800703933315382139354767449124765696) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -1999999999999999986441897348723255952923416883888128) (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (.f64 R (-.f64 phi2 phi1)))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -10000000000000000373409337471459889719393275754491820381027730410378005080671497101378613371421126415052399029342192009216) (.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2)))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) -1/2)))) (if (<=.f64 (-.f64 lambda1 lambda2) -3999999999999999908198053060981346513787370879696600024519983898927973808723159645213045177926046187520) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -50000000000000000013304932354183638268701200590600404549065988726744879458156544) (.f64 R (sqrt.f64 (+.f64 (pow.f64 phi1 2) (.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (-.f64 lambda1 lambda2) 2))))) (if (<=.f64 (-.f64 lambda1 lambda2) -5000000000000000235300672479527347945779800703933315382139354767449124765696) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -1999999999999999986441897348723255952923416883888128) (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (*.f64 R (-.f64 phi2 phi1)))))))
(if (<=.f64 (-.f64 lambda1 lambda2) -10000000000000000373409337471459889719393275754491820381027730410378005080671497101378613371421126415052399029342192009216) (.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2)))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) -1/2)))) (if (<=.f64 (-.f64 lambda1 lambda2) -3999999999999999908198053060981346513787370879696600024519983898927973808723159645213045177926046187520) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -50000000000000000013304932354183638268701200590600404549065988726744879458156544) (.f64 R (.f64 (sqrt.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2)))) (+.f64 (.f64 lambda2 (sqrt.f64 1/2)) (.f64 (/.f64 lambda1 (sqrt.f64 1/2)) -1/2)))) (if (<=.f64 (-.f64 lambda1 lambda2) -5000000000000000235300672479527347945779800703933315382139354767449124765696) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 (-.f64 lambda1 lambda2) -1999999999999999986441897348723255952923416883888128) (.f64 R (sqrt.f64 (+.f64 (.f64 (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (.f64 R (-.f64 phi2 phi1)))))))
(if (<=.f64 phi1 -16999999999999999687548481198199885520374802511651306369906205132529469537145924881711613414394036224) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -95000000000000000) (.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))))) (if (<=.f64 phi1 -3246626956972881/1180591620717411303424) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -551821675271585/452312848583266388373324160190187140051835877600158453279131187530910662656) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 phi1 -126821299469787/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 3246211519334497/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (*.f64 R (-.f64 phi2 phi1))))))))
(if (<=.f64 phi1 -17999999999999999897718261530532710659157074050397725173125021793518205539544203961683388933500567552) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -380000000000000000) (.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))))) (if (<=.f64 phi1 -4457913959828945/37778931862957161709568) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -4884978764699277/3618502788666131106986593281521497120414687020801267626233049500247285301248) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 phi1 -42273766489929/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 3246211519334497/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (.f64 R (-.f64 phi2 phi1))))))))
(if (<=.f64 phi1 -330000000000000004409053041463916596751399087243264) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -529999999999999968559497216) (.f64 R (.f64 lambda2 (sqrt.f64 (.f64 (+.f64 1 (cos.f64 phi1)) 1/2)))) (if (<=.f64 phi1 -7656119366529843/9007199254740992) (.f64 R (sqrt.f64 (+.f64 (.f64 (-.f64 lambda1 lambda2) (.f64 1/2 (.f64 (+.f64 1 (cos.f64 (+.f64 phi1 phi2))) lambda1))) (.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) (if (<=.f64 phi1 -4052723123306067/3618502788666131106986593281521497120414687020801267626233049500247285301248) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 phi1 -211368832449645/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 3246211519334497/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (*.f64 R (-.f64 phi2 phi1))))))))
(if (<=.f64 phi1 -47999999999999999674605536369358142870162005213315072) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -20499999999999999035444297728) (.f64 R (.f64 lambda2 (sqrt.f64 (.f64 (+.f64 1 (cos.f64 phi1)) 1/2)))) (if (<=.f64 phi1 -3872340515953109/18889465931478580854784) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -3618502788666131/1809251394333065553493296640760748560207343510400633813116524750123642650624) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 phi1 -7815949715471317/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 3246211519334497/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (*.f64 R (-.f64 phi2 phi1))))))))
(if (<=.f64 phi1 -1983393922805251/4722366482869645213696) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 -4161278206966051/904625697166532776746648320380374280103671755200316906558262375061821325312) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (if (<=.f64 phi1 -3757668132438133/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi1 3246211519334497/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (+.f64 lambda2 (neg.f64 lambda1)))) (*.f64 R (-.f64 phi2 phi1))))))
(if (<=.f64 lambda1 -2850000000000000188597008308653020928279511191365867163400488247738010591569036000407836778716669671989821116553299689987433246813237896722674410826397906303305375547392) (.f64 R (.f64 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))) (neg.f64 lambda1))) (if (<=.f64 lambda1 5687876567655377/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (.f64 R (-.f64 phi2 phi1)) (.f64 R (.f64 lambda2 (cos.f64 (*.f64 1/2 (+.f64 phi1 phi2)))))))
(if (<=.f64 phi2 -492525077454931/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 7918067634262499/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968) (.f64 R (.f64 lambda2 (cos.f64 (.f64 1/2 (+.f64 phi1 phi2))))) (if (<=.f64 phi2 2199467820938877/29326237612518360273324834748083034614499060912302748190148044495166529541481373859169571088204419456439664137440255713356182385415243137741255706666562129531405183291370713192721204491754474266874920968429307133415352886893299285622127397997029678383104) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi2 5663458069607753/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 5670233501203789/1532495540865888858358347027150309183618739122183602176) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 lambda1))) (.f64 R (-.f64 phi2 phi1)))))))
(if (<=.f64 phi2 -8061134813471455/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 2162810023923229/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 lambda1))) (if (<=.f64 phi2 3620108141084501/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 8336775742310435/12259964326927110866866776217202473468949912977468817408) (.f64 R (.f64 (cos.f64 (.f64 1/2 phi1)) (neg.f64 lambda1))) (*.f64 R (-.f64 phi2 phi1))))))
(if (<=.f64 phi2 -2166833037861127/1031825256124346184281913642415071497107123683664299847906173259817722465931103241160971202905580445106785927721205329450942085077153682689942458942310428861149192742185556805017053745461770392681687954898849977351851617759280394021168743942904368118143630040815894528) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 6745034650879223/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi2 5993757216606705/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (.f64 R (-.f64 phi2 phi1)) (if (<=.f64 phi2 4980610507814139/766247770432944429179173513575154591809369561091801088) (.f64 R (neg.f64 lambda1)) (*.f64 R (-.f64 phi2 phi1))))))
(if (<=.f64 phi2 -3198658293985473/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264) (.f64 R (neg.f64 phi1)) (if (<=.f64 phi2 2162810023923229/3665779701564795034165604343510379326812382614037843523768505561895816192685171732396196386025552432054958017180031964169522798176905392217656963333320266191425647911421339149090150561469309283359365121053663391676919110861662410702765924749628709797888) (.f64 R (neg.f64 lambda1)) (if (<=.f64 phi2 8950677443466013/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792) (.f64 R (neg.f64 phi1)) (if (<=.f64 phi2 1915619426082361/95780971304118053647396689196894323976171195136475136) (.f64 R (neg.f64 lambda1)) (*.f64 R phi2)))))
(if (<=.f64 phi2 4750736176684255/766247770432944429179173513575154591809369561091801088) (.f64 R (neg.f64 lambda1)) (.f64 R phi2))
(*.f64 R phi2)

Compiler

Compiled 1238 to 671 computations (45.8% saved)

soundness1.3s (2.8%)

Algorithm

5×	egg-herbie

Rules

1330×	`rational.json-simplify-1`
1330×	`rational.json-simplify-1`
1330×	`rational.json-simplify-1`
1206×	`rational.json-simplify-64`
1206×	`rational.json-simplify-64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	97
1	35	97
2	62	97
3	231	93
4	734	93
5	1867	93
6	4726	93
0	502	15916
1	1213	15770
2	2658	14750
3	5000	14586
0	20	97
1	35	97
2	62	97
3	231	93
4	734	93
5	1867	93
6	4726	93
0	539	17829
1	1269	17109
2	2797	15841
3	6596	15445
0	20	97
1	35	97
2	62	97
3	231	93
4	734	93
5	1867	93
6	4726	93

Stop Event

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

Compiler

Compiled 574 to 326 computations (43.2% saved)

end1.6s (3.5%)

Compiler: Compiled 1711 to 826 computations (51.7% saved)