Details

analyze9.0s (25.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
0.6%	99.2%	0.2%	13
1.8%	98%	0.2%	14

Compiler

Compiled 71 to 47 computations (33.8% saved)

sample18.6s (53.3%)

Results

14.1s	5530×	body	1024	valid
2.1s	1215×	body	512	valid
1.7s	407×	body	2048	valid
456.0ms	390×	body	256	valid
362.0ms	714×	body	128	valid
2.0ms	1×	body	1024	invalid
2.0ms	1×	body	512	invalid

preprocess65.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

661×	`cancel-sign-sub-inv_binary64`
351×	`distribute-rgt-neg-in_binary64`
312×	`fma-neg_binary64`
281×	`neg-mul-1_binary64`
263×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	1101
1	391	1057
2	968	1057
3	2393	1057
4	4809	1057
0	5	5

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
3
4

Call 2

Inputs
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 lambda1 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (sin.f64 (/.f64 (-.f64 R lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))))))))
(.f64 lambda2 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))))))))
(.f64 phi1 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 R) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 R) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 phi2 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 R)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 R)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Outputs
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (.f64 R 2))
(.f64 lambda1 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (sin.f64 (/.f64 (-.f64 R lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))))))))
(.f64 lambda1 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))))))))))
(.f64 2 (.f64 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) lambda1))
(.f64 2 (.f64 lambda1 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(.f64 2 (.f64 lambda1 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(.f64 lambda2 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))))))))
(.f64 lambda2 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))))))))))
(.f64 lambda2 (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (.f64 2 lambda2))
(.f64 lambda2 (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(.f64 phi1 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 R) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 R) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 phi1 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 R)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 R)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
(.f64 2 (.f64 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 R)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 R)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2))))) phi1))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2))))) (.f64 2 phi1))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2))))) (.f64 2 phi1))
(.f64 phi2 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 R)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 R)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 phi2 (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 R) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 R) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))))
(.f64 phi2 (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2)))))))
(.f64 2 (.f64 phi2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2)))))))
(.f64 2 (.f64 phi2 (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2)))))))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2)) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2)) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2)) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2)) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)))))))))
(.f64 (.f64 R 2) (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)))))))))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (.f64 (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)))))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2)))))))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 lambda2) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (.f64 (cos.f64 lambda2) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2))))) (.f64 R 2))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 lambda2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 lambda2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 lambda2)) (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2)))))))
(.f64 2 (.f64 R (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (cos.f64 lambda2)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (cos.f64 lambda2)) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 (.f64 R 2) (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (.f64 (cos.f64 phi1) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2)))))))

Compiler

Compiled 70 to 46 computations (34.3% saved)

simplify41.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

698×	`fma-def_binary64`
562×	`fma-neg_binary64`
317×	`cancel-sign-sub-inv_binary64`
288×	`distribute-rgt-neg-in_binary64`
278×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	103
1	59	99
2	127	99
3	292	99
4	710	99
5	1626	99
6	3178	99
7	4850	99

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Outputs
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (.f64 R 2))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))

eval2.0ms (0%)

Compiler: Compiled 133 to 84 computations (36.8% saved)

prune6.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

24.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
▶	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))

Status

Error

Program

24.3b

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

▶

24.3b

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))

Compiler

Compiled 276 to 182 computations (34.1% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))
✓	0.5b	(-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
✓	2.8b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
✓	3.0b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))

series39.0ms (0.1%)

Counts

4 → 112

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	lambda1	@	-inf	(-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
4.0ms	phi1	@	inf	(-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
3.0ms	lambda2	@	-inf	(*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))
3.0ms	phi2	@	inf	(-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
2.0ms	lambda2	@	inf	(-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))

rewrite44.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

242×	`add-sqr-sqrt_binary64`
235×	`pow1_binary64`
234×	`*-un-lft-identity_binary64`
225×	`add-log-exp_binary64`
225×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	67
1	466	67

Stop Event

1×	node limit

Counts

4 → 71

Calls

Call 1

Inputs
(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (/.f64 lambda2 2)) (cos.f64 (/.f64 lambda1 2))) (.f64 (cos.f64 (/.f64 lambda2 2)) (sin.f64 (/.f64 lambda1 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) 2) (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) (sqrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 (.f64 (-.f64 lambda2 lambda1) 1/2) (.f64 (-.f64 lambda2 lambda1) 1/2))) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 (*.f64 (-.f64 lambda2 lambda1) 1/2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2) (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (.f64 (-.f64 lambda2 lambda1) 1/2) (.f64 (-.f64 lambda2 lambda1) 1/2))) (cos.f64 (-.f64 lambda2 lambda1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 3) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)))) 1))))))

simplify88.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

614×	`cancel-sign-sub-inv_binary64`
363×	`fma-neg_binary64`
333×	`fma-def_binary64`
288×	`distribute-rgt-neg-in_binary64`
272×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	273	3999
1	923	3667
2	3201	3659

Stop Event

1×	node limit

Counts

183 → 162

Calls

Call 1

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

Outputs
(sin.f64 (*.f64 -1/2 lambda1))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (.f64 1/2 lambda2) (cos.f64 (.f64 -1/2 lambda1))))
(fma.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1))) (sin.f64 (*.f64 -1/2 lambda1)))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 1/2 (.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1))))))
(+.f64 (sin.f64 (.f64 -1/2 lambda1)) (fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 lambda2 lambda2)) (.f64 (.f64 1/2 lambda2) (cos.f64 (*.f64 -1/2 lambda1)))))
(+.f64 (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 -1/2 lambda1))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 lambda2 3) (cos.f64 (.f64 -1/2 lambda1)))) (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 lambda2 2) (sin.f64 (.f64 -1/2 lambda1)))) (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))))))
(fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (pow.f64 lambda2 3)) (+.f64 (sin.f64 (.f64 -1/2 lambda1)) (fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 lambda2 lambda2)) (.f64 (.f64 1/2 lambda2) (cos.f64 (*.f64 -1/2 lambda1))))))
(fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 lambda1)) (pow.f64 lambda2 3)) (+.f64 (.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1)))) (.f64 (+.f64 (.f64 -1/8 (.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 -1/2 lambda1)))))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 lambda2))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (sin.f64 (.f64 1/2 lambda2)))
(fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (sin.f64 (*.f64 1/2 lambda2)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 1/2 lambda2)) (.f64 -1/8 (.f64 (sin.f64 (*.f64 1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (sin.f64 (.f64 1/2 lambda2))) (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (*.f64 lambda1 lambda1))))
(fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (fma.f64 (.f64 -1/8 (sin.f64 (.f64 1/2 lambda2))) (.f64 lambda1 lambda1) (sin.f64 (.f64 1/2 lambda2))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (.f64 1/2 lambda2)) (+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 3))) (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 2))))))
(+.f64 (fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (sin.f64 (.f64 1/2 lambda2))) (fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda2)) (pow.f64 lambda1 3)) (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 lambda2)) (*.f64 lambda1 lambda1)))))
(+.f64 (fma.f64 -1/8 (.f64 lambda1 (.f64 lambda1 (sin.f64 (.f64 1/2 lambda2)))) (.f64 (cos.f64 (.f64 1/2 lambda2)) (.f64 (pow.f64 lambda1 3) 1/48))) (fma.f64 -1/2 (.f64 lambda1 (cos.f64 (.f64 1/2 lambda2))) (sin.f64 (*.f64 1/2 lambda2))))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))
(fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (*.f64 1/2 phi1)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(fma.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)) (.f64 (+.f64 (.f64 -1/8 (.f64 phi2 phi2)) 1) (sin.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 phi2 2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))))
(fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) (fma.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 phi2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)))))
(fma.f64 1/48 (.f64 (cos.f64 (.f64 1/2 phi1)) (pow.f64 phi2 3)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)) (.f64 (+.f64 (.f64 -1/8 (.f64 phi2 phi2)) 1) (sin.f64 (*.f64 1/2 phi1)))))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))
(fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (*.f64 -1/2 phi2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 phi1)) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2))))
(fma.f64 -1/8 (.f64 phi1 (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 phi1 2) (sin.f64 (.f64 -1/2 phi2)))) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))))
(fma.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 phi1 phi1)) (fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3)) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2)))))
(fma.f64 -1/8 (.f64 phi1 (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3)) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2)))))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))
(-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) 1) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))
(-.f64 (-.f64 (fma.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) 1) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))
(fma.f64 (neg.f64 (cos.f64 (.f64 -1/2 phi2))) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))) (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2))))
(-.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))
(-.f64 (+.f64 (fma.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) 1) (neg.f64 (.f64 (.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))
(-.f64 (-.f64 (-.f64 1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/24 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))))) (pow.f64 phi1 3))) (.f64 -1 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))
(-.f64 (+.f64 (fma.f64 -1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) 1) (.f64 -1 (+.f64 (.f64 (pow.f64 phi1 3) (.f64 (.f64 (sin.f64 (.f64 -1/2 phi2)) (cos.f64 (.f64 -1/2 phi2))) -1/6)) (.f64 (.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))
(-.f64 (-.f64 (fma.f64 -1 (fma.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) -1/6)) (.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2)))))) 1) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (-.f64 (-.f64 1 (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2))))) (fma.f64 (pow.f64 phi1 3) (.f64 (sin.f64 (.f64 -1/2 phi2)) (.f64 (cos.f64 (.f64 -1/2 phi2)) -1/6)) (.f64 (.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) -1/4 (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2))))))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))
(-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(-.f64 (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))
(-.f64 (+.f64 1 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1)))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))
(-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2) 1) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))) (pow.f64 phi2 2))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))
(-.f64 (fma.f64 -1 (.f64 (.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))) (+.f64 1 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))
(-.f64 (-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2) 1) (.f64 (.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1)))) (.f64 1/24 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))))) (pow.f64 phi2 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2)) (+.f64 (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)) (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))) (pow.f64 phi2 2))) (+.f64 1 (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 phi2 (sin.f64 (.f64 1/2 phi1))))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))
(-.f64 (fma.f64 -1 (.f64 (pow.f64 phi2 3) (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) 1/6)) (fma.f64 -1 (.f64 (.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))) (+.f64 1 (.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1)))))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))))
(-.f64 (-.f64 (-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2) 1) (.f64 (.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))) (.f64 (pow.f64 phi2 3) (.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) 1/6)))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) -1/6) (pow.f64 phi2 3) (-.f64 (fma.f64 (cos.f64 (.f64 1/2 phi1)) (.f64 (sin.f64 (.f64 1/2 phi1)) phi2) 1) (.f64 (.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (fma.f64 -1/2 (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))))))) (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))))) 1) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 -1 (.f64 lambda2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) 1) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (-.f64 1 (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda1))) (cos.f64 (.f64 -1/2 lambda1))))) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (cos.f64 phi1))))) 1)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 -1 (.f64 lambda2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (fma.f64 -1 (.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 lambda2)) (cos.f64 phi1))) 1)) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (-.f64 (fma.f64 (neg.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2)))) (.f64 (.f64 lambda2 lambda2) (.f64 (cos.f64 phi2) (cos.f64 phi1))) 1) (.f64 lambda2 (.f64 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (.f64 -1/2 lambda1))) (cos.f64 (.f64 -1/2 lambda1))))) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 lambda2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 2) (cos.f64 phi1))))) (+.f64 1 (.f64 -1 (.f64 (+.f64 (.f64 -1/24 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 3) (cos.f64 phi1)))))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (fma.f64 -1 (.f64 lambda2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (+.f64 (fma.f64 -1 (.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (.f64 (.f64 (cos.f64 phi2) (.f64 lambda2 lambda2)) (cos.f64 phi1))) 1) (neg.f64 (.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))) -1/6) (.f64 (.f64 (cos.f64 phi2) (pow.f64 lambda2 3)) (cos.f64 phi1)))))) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
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(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
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(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
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(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
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(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
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(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
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(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
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(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2)) (cos.f64 phi1))))
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(-.f64 (+.f64 1 (.f64 -1 (.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 lambda1 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2)))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2)))))))))) (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (cos.f64 phi2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (cos.f64 phi1)))))
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(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(pow.f64 (sin.f64 (*.f64 -1/2 lambda1)) 2)
(+.f64 (.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 lambda1)) 2))
(fma.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))
(+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (pow.f64 lambda2 2)) (+.f64 (.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)))
(fma.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (.f64 lambda2 lambda2) (fma.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)))
(fma.f64 (.f64 lambda2 lambda2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2))) (fma.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (pow.f64 lambda2 2)) (+.f64 (.f64 (+.f64 (.f64 -1/24 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))) (.f64 -1/8 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))))) (pow.f64 lambda2 3)) (+.f64 (.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 lambda1)) 2))))
(fma.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (.f64 lambda2 lambda2) (fma.f64 (.f64 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))) -1/6) (pow.f64 lambda2 3) (fma.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))))
(fma.f64 (.f64 lambda2 lambda2) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 -1/2 lambda1)) 2))) (fma.f64 (pow.f64 lambda2 3) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (.f64 (cos.f64 (.f64 -1/2 lambda1)) -1/6)) (fma.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 lambda2) lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 lambda2)) 2)
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2)))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))))) lambda1))
(+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 lambda1 (.f64 -1/2 (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2)))))))
(fma.f64 lambda1 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) -1) (pow.f64 (sin.f64 (*.f64 1/2 lambda2)) 2))
(+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2))) (pow.f64 lambda1 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2)))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2))))) lambda1)))
(fma.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2))) (.f64 lambda1 lambda1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 lambda1 (.f64 -1/2 (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2))))))))
(fma.f64 (.f64 lambda1 lambda1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2))) (fma.f64 lambda1 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) -1) (pow.f64 (sin.f64 (*.f64 1/2 lambda2)) 2)))
(+.f64 (.f64 (+.f64 (.f64 1/16 (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2)))) (+.f64 (.f64 1/16 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2)))) (+.f64 (.f64 1/48 (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2)))) (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))))))) (pow.f64 lambda1 3)) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2)) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2))) (pow.f64 lambda1 2)) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 lambda2)) (sin.f64 (.f64 1/2 lambda2)))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))))) lambda1))))
(fma.f64 (fma.f64 1/16 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) (fma.f64 1/16 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) (.f64 1/48 (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))))))) (pow.f64 lambda1 3) (fma.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2) (.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2))) (.f64 lambda1 lambda1) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 lambda1 (.f64 -1/2 (+.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2)))))))))
(fma.f64 (pow.f64 lambda1 3) (+.f64 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) 1/24) (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) 1/8)) (fma.f64 (.f64 lambda1 lambda1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2))) (fma.f64 lambda1 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) -1) (pow.f64 (sin.f64 (*.f64 1/2 lambda2)) 2))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)
(pow.f64 (sin.f64 (.f64 1/2 (+.f64 (.f64 -1 lambda1) lambda2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)

eval428.0ms (1.2%)

Compiler: Compiled 24901 to 15384 computations (38.2% saved)

prune1.3s (3.8%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	308	34	342
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	309	35	344

Error

22.5b

Counts

344 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	34.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	30.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))))
	34.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (.f64 -1/2 lambda1)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	36.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 (.f64 (-.f64 lambda2 lambda1) 1/2) (.f64 (-.f64 lambda2 lambda1) 1/2))) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	24.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (-.f64 (.f64 (sin.f64 (/.f64 lambda2 2)) (cos.f64 (/.f64 lambda1 2))) (.f64 (cos.f64 (/.f64 lambda2 2)) (sin.f64 (/.f64 lambda1 2)))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	24.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (log.f64 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) 2)))))))
	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cbrt.f64 (pow.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))) 3))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	36.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (.f64 lambda1 lambda1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2))) (fma.f64 lambda1 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) -1) (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	35.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	31.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)) (.f64 (+.f64 (.f64 -1/8 (.f64 phi2 phi2)) 1) (sin.f64 (.f64 1/2 phi1)))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))))
	24.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2) (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) 2)))))))
	34.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2))) (.f64 (cos.f64 (.f64 -1/2 phi2)) (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))))))))
	25.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 3) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 3)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	31.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
▶	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	34.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	31.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)))))))
	34.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	26.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (pow.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))) 3) 1/3)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	31.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))))))
	31.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))))
	33.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	32.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	41.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3) 1/3) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	34.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (log.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
	32.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	33.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
	31.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))
	36.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	38.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (-.f64 1 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda1 (.f64 lambda1 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2))))) (.f64 lambda1 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) -1))))) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
	24.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (-.f64 (.f64 (sin.f64 (/.f64 lambda2 2)) (cos.f64 (/.f64 lambda1 2))) (.f64 (cos.f64 (/.f64 lambda2 2)) (sin.f64 (/.f64 lambda1 2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))

Compiler

Compiled 4958 to 3450 computations (30.4% saved)

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.4b	(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))
	2.8b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
	3.0b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))
✓	3.2b	(cos.f64 (-.f64 lambda2 lambda1))

series6.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite78.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`prod-diff_binary64`
263×	`fma-def_binary64`
184×	`expm1-udef_binary64`
184×	`log1p-udef_binary64`
125×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	192	18
2	2699	16

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

Outputs
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Outputs

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simplify36.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

525×	`fma-neg_binary64`
509×	`fma-def_binary64`
290×	`distribute-rgt-neg-out_binary64`
240×	`distribute-lft-neg-out_binary64`
232×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	538
1	248	498
2	707	431
3	2660	422

Stop Event

1×	node limit

Counts

122 → 127

Calls

Call 1

Inputs
(cos.f64 (neg.f64 lambda1))
(+.f64 (cos.f64 (neg.f64 lambda1)) (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1))))))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 (neg.f64 lambda1)))) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 lambda2)
(+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1))))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 lambda1))))
(-.f64 (+.f64 1/2 (.f64 1/2 (.f64 lambda2 (sin.f64 (neg.f64 lambda1))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda1))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))) (.f64 1/2 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda1))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 lambda2 3) (sin.f64 (neg.f64 lambda1)))) (.f64 1/2 (.f64 lambda2 (sin.f64 (neg.f64 lambda1))))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda1))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda2)))
(-.f64 (+.f64 1/2 (.f64 -1/2 (.f64 (sin.f64 lambda2) lambda1))) (*.f64 1/2 (cos.f64 lambda2)))
(-.f64 (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 1/2 (.f64 -1/2 (.f64 (sin.f64 lambda2) lambda1)))) (*.f64 1/2 (cos.f64 lambda2)))
(-.f64 (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (.f64 1/12 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 1/2 (.f64 -1/2 (.f64 (sin.f64 lambda2) lambda1))))) (*.f64 1/2 (cos.f64 lambda2)))
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2))))

Outputs
(cos.f64 (neg.f64 lambda1))
(cos.f64 lambda1)
(+.f64 (cos.f64 (neg.f64 lambda1)) (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))))
(+.f64 (cos.f64 lambda1) (*.f64 (neg.f64 lambda2) (neg.f64 (sin.f64 lambda1))))
(-.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 (neg.f64 lambda1))))
(fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1))))))
(+.f64 (cos.f64 lambda1) (fma.f64 -1 (.f64 lambda2 (neg.f64 (sin.f64 lambda1))) (.f64 -1/2 (.f64 (cos.f64 lambda1) (.f64 lambda2 lambda2)))))
(+.f64 (cos.f64 lambda1) (fma.f64 (.f64 -1/2 (.f64 lambda2 lambda2)) (cos.f64 lambda1) (*.f64 lambda2 (neg.f64 (sin.f64 (neg.f64 lambda1))))))
(fma.f64 (cos.f64 lambda1) (.f64 -1/2 (.f64 lambda2 lambda2)) (fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1)))
(fma.f64 (cos.f64 lambda1) (.f64 lambda2 (.f64 lambda2 -1/2)) (fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1)))
(+.f64 (cos.f64 (neg.f64 lambda1)) (+.f64 (.f64 1/6 (.f64 (pow.f64 lambda2 3) (sin.f64 (neg.f64 lambda1)))) (+.f64 (.f64 -1 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))) (.f64 -1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))))))
(+.f64 (cos.f64 lambda1) (fma.f64 1/6 (.f64 (neg.f64 (sin.f64 lambda1)) (pow.f64 lambda2 3)) (fma.f64 -1 (.f64 lambda2 (neg.f64 (sin.f64 lambda1))) (.f64 -1/2 (.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2))))))
(+.f64 (.f64 (sin.f64 (neg.f64 lambda1)) (+.f64 (.f64 1/6 (pow.f64 lambda2 3)) (neg.f64 lambda2))) (+.f64 (.f64 (cos.f64 lambda1) (.f64 -1/2 (*.f64 lambda2 lambda2))) (cos.f64 lambda1)))
(fma.f64 (neg.f64 (sin.f64 lambda1)) (fma.f64 1/6 (pow.f64 lambda2 3) (neg.f64 lambda2)) (.f64 (+.f64 (.f64 -1/2 (*.f64 lambda2 lambda2)) 1) (cos.f64 lambda1)))
(+.f64 (cos.f64 lambda1) (fma.f64 (cos.f64 lambda1) (.f64 lambda2 (.f64 lambda2 -1/2)) (.f64 (sin.f64 lambda1) (-.f64 lambda2 (.f64 1/6 (pow.f64 lambda2 3))))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 lambda2)
(+.f64 (cos.f64 lambda2) (*.f64 (sin.f64 lambda2) lambda1))
(+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))
(fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))
(+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1)))
(+.f64 (cos.f64 lambda2) (fma.f64 -1/2 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (*.f64 lambda1 (sin.f64 lambda2))))
(+.f64 (cos.f64 lambda2) (fma.f64 lambda1 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)))))
(fma.f64 lambda1 (sin.f64 lambda2) (.f64 (+.f64 (.f64 -1/2 (*.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 (cos.f64 lambda2) (+.f64 (.f64 -1/2 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (*.f64 (sin.f64 lambda2) lambda1))))
(fma.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) (+.f64 (cos.f64 lambda2) (fma.f64 -1/2 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (.f64 lambda1 (sin.f64 lambda2)))))
(+.f64 (fma.f64 lambda1 (sin.f64 lambda2) (.f64 -1/2 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)))) (fma.f64 (.f64 (sin.f64 lambda2) -1/6) (pow.f64 lambda1 3) (cos.f64 lambda2)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (*.f64 -1/6 (pow.f64 lambda1 3)))))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(cos.f64 (+.f64 (*.f64 -1 lambda1) lambda2))
(cos.f64 (fma.f64 -1 lambda2 lambda1))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (-.f64 lambda1 lambda2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(fma.f64 (cos.f64 lambda1) -1/2 1/2)
(-.f64 (+.f64 1/2 (.f64 1/2 (.f64 lambda2 (sin.f64 (neg.f64 lambda1))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda1))))
(+.f64 1/2 (-.f64 (.f64 (.f64 1/2 lambda2) (neg.f64 (sin.f64 lambda1))) (*.f64 (cos.f64 lambda1) 1/2)))
(+.f64 1/2 (.f64 1/2 (-.f64 (.f64 lambda2 (sin.f64 (neg.f64 lambda1))) (cos.f64 lambda1))))
(fma.f64 (cos.f64 lambda1) -1/2 (fma.f64 lambda2 (*.f64 -1/2 (sin.f64 lambda1)) 1/2))
(fma.f64 1/2 (neg.f64 (fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1))) 1/2)
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))) (.f64 1/2 (.f64 lambda2 (sin.f64 (neg.f64 lambda1)))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda1))))
(+.f64 1/2 (-.f64 (fma.f64 1/4 (.f64 (cos.f64 lambda1) (.f64 lambda2 lambda2)) (.f64 (.f64 1/2 lambda2) (neg.f64 (sin.f64 lambda1)))) (*.f64 (cos.f64 lambda1) 1/2)))
(+.f64 1/2 (+.f64 (.f64 (cos.f64 lambda1) (.f64 1/4 (.f64 lambda2 lambda2))) (.f64 1/2 (-.f64 (*.f64 lambda2 (sin.f64 (neg.f64 lambda1))) (cos.f64 lambda1)))))
(+.f64 (fma.f64 lambda2 (.f64 -1/2 (sin.f64 lambda1)) 1/2) (.f64 (cos.f64 lambda1) (-.f64 (.f64 1/4 (.f64 lambda2 lambda2)) 1/2)))
(+.f64 (fma.f64 lambda2 (.f64 -1/2 (sin.f64 lambda1)) 1/2) (.f64 (cos.f64 lambda1) (fma.f64 lambda2 (*.f64 lambda2 1/4) -1/2)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 (neg.f64 lambda1)))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 lambda2 3) (sin.f64 (neg.f64 lambda1)))) (.f64 1/2 (.f64 lambda2 (sin.f64 (neg.f64 lambda1))))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda1))))
(+.f64 1/2 (-.f64 (fma.f64 1/4 (.f64 (cos.f64 lambda1) (.f64 lambda2 lambda2)) (fma.f64 -1/12 (.f64 (neg.f64 (sin.f64 lambda1)) (pow.f64 lambda2 3)) (.f64 (.f64 1/2 lambda2) (neg.f64 (sin.f64 lambda1))))) (.f64 (cos.f64 lambda1) 1/2)))
(+.f64 (fma.f64 (.f64 (cos.f64 lambda1) (.f64 lambda2 lambda2)) 1/4 (.f64 (sin.f64 (neg.f64 lambda1)) (+.f64 (.f64 lambda2 1/2) (.f64 (pow.f64 lambda2 3) -1/12)))) (+.f64 1/2 (.f64 (cos.f64 lambda1) -1/2)))
(+.f64 1/2 (fma.f64 (neg.f64 (sin.f64 lambda1)) (fma.f64 (pow.f64 lambda2 3) -1/12 (.f64 lambda2 1/2)) (.f64 (cos.f64 lambda1) (-.f64 (.f64 1/4 (.f64 lambda2 lambda2)) 1/2))))
(+.f64 1/2 (-.f64 (.f64 (cos.f64 lambda1) (fma.f64 lambda2 (.f64 lambda2 1/4) -1/2)) (.f64 (sin.f64 lambda1) (fma.f64 (pow.f64 lambda2 3) -1/12 (.f64 lambda2 1/2)))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda2 lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda2 lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda2 lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (neg.f64 (+.f64 (.f64 -1 lambda2) lambda1)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda2 lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda2)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 lambda2)))
(fma.f64 -1/2 (cos.f64 lambda2) 1/2)
(-.f64 (+.f64 1/2 (.f64 -1/2 (.f64 (sin.f64 lambda2) lambda1))) (*.f64 1/2 (cos.f64 lambda2)))
(+.f64 1/2 (-.f64 (.f64 (.f64 -1/2 (sin.f64 lambda2)) lambda1) (*.f64 (cos.f64 lambda2) 1/2)))
(+.f64 1/2 (fma.f64 (.f64 -1/2 (sin.f64 lambda2)) lambda1 (.f64 -1/2 (cos.f64 lambda2))))
(+.f64 1/2 (*.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))))
(-.f64 (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 1/2 (.f64 -1/2 (.f64 (sin.f64 lambda2) lambda1)))) (*.f64 1/2 (cos.f64 lambda2)))
(+.f64 (fma.f64 1/4 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (+.f64 1/2 (.f64 (.f64 -1/2 (sin.f64 lambda2)) lambda1))) (*.f64 -1/2 (cos.f64 lambda2)))
(+.f64 (fma.f64 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) 1/4 1/2) (fma.f64 (.f64 -1/2 (sin.f64 lambda2)) lambda1 (.f64 -1/2 (cos.f64 lambda2))))
(+.f64 (.f64 -1/2 (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))) (fma.f64 (cos.f64 lambda2) (.f64 lambda1 (*.f64 lambda1 1/4)) 1/2))
(+.f64 (fma.f64 (sin.f64 lambda2) (.f64 lambda1 -1/2) 1/2) (.f64 (cos.f64 lambda2) (fma.f64 lambda1 (*.f64 lambda1 1/4) -1/2)))
(-.f64 (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) (+.f64 (.f64 1/12 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (+.f64 1/2 (.f64 -1/2 (.f64 (sin.f64 lambda2) lambda1))))) (*.f64 1/2 (cos.f64 lambda2)))
(+.f64 (fma.f64 1/4 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (fma.f64 1/12 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) (+.f64 1/2 (.f64 (.f64 -1/2 (sin.f64 lambda2)) lambda1)))) (.f64 -1/2 (cos.f64 lambda2)))
(+.f64 (fma.f64 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) 1/4 (fma.f64 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) 1/12 (fma.f64 -1/2 (.f64 lambda1 (sin.f64 lambda2)) 1/2))) (*.f64 -1/2 (cos.f64 lambda2)))
(+.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) (+.f64 (.f64 (pow.f64 lambda1 3) 1/12) (.f64 lambda1 -1/2))) (.f64 (cos.f64 lambda2) (-.f64 (.f64 lambda1 (.f64 lambda1 1/4)) 1/2))))
(+.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) (+.f64 (.f64 (pow.f64 lambda1 3) 1/12) (.f64 lambda1 -1/2))) (.f64 (cos.f64 lambda2) (fma.f64 lambda1 (*.f64 lambda1 1/4) -1/2))))
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda2 lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda2 lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda2 lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)
(-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 (.f64 -1 lambda1) lambda2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda2 lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(fma.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)

eval299.0ms (0.9%)

Compiler: Compiled 18366 to 10983 computations (40.2% saved)

prune945.0ms (2.7%)

Pruning

40 alts after pruning (40 fresh and 0 done)

	Pruned	Kept	Total
New	249	20	269
Fresh	14	20	34
Picked	1	0	1
Done	0	0	0
Total	264	40	304

Error

22.4b

Counts

304 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	31.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)) (.f64 (+.f64 (.f64 -1/8 (.f64 phi2 phi2)) 1) (sin.f64 (.f64 1/2 phi1)))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	34.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	30.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))))
	33.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 -1/2 (cos.f64 lambda2) 1/2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (log.f64 (exp.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) 2)))))))))
	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	24.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (-.f64 (.f64 (sin.f64 (/.f64 lambda2 2)) (cos.f64 (/.f64 lambda1 2))) (.f64 (cos.f64 (/.f64 lambda2 2)) (sin.f64 (/.f64 lambda1 2)))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	36.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (.f64 lambda1 lambda1) (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2))) (fma.f64 lambda1 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) -1) (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	24.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (cbrt.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (cbrt.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	25.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3)) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	35.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))))
	24.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2) (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))) 2)))))))
▶	24.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	25.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 3) (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 3)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	31.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	33.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	24.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (cbrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	26.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (pow.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))) 3) 1/3)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	36.8b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (fma.f64 -1/8 (.f64 phi1 (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3)) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (*.f64 -1/2 phi2))))) 2)))))))))
	34.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	31.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)))))))
	34.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	34.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	31.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))))))
	31.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
	33.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	32.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	31.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2)))))))))
	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (log.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
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	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
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	24.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cos.f64 (+.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	46.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1)))) (sin.f64 1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	36.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 (.f64 (-.f64 lambda2 lambda1) 1/2) (.f64 (-.f64 lambda2 lambda1) 1/2))) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	24.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (-.f64 (.f64 (sin.f64 (/.f64 lambda2 2)) (cos.f64 (/.f64 lambda1 2))) (.f64 (cos.f64 (/.f64 lambda2 2)) (sin.f64 (/.f64 lambda1 2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	24.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) 3) (pow.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 3)) (fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (-.f64 (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	36.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	41.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3) 1/3) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))

Compiler

Compiled 5860 to 4018 computations (31.4% saved)

localize49.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.4b	(-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
	2.8b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
	3.0b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))
✓	8.9b	(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))

series41.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	lambda1	@	inf	(-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
6.0ms	lambda1	@	-inf	(-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
4.0ms	lambda1	@	inf	(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
4.0ms	lambda2	@	inf	(-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
3.0ms	lambda2	@	-inf	(-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))

rewrite57.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

282×	`expm1-udef_binary64`
282×	`log1p-udef_binary64`
213×	`fma-neg_binary64`
163×	`add-sqr-sqrt_binary64`
158×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	319	22
2	4064	22

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs

(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))

(-.f64 1/2 (*.f64 1/2 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 lambda2)) (cbrt.f64 (sin.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 lambda1)) (cbrt.f64 (sin.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/6) (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 1/3) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 lambda2 lambda1)))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) 2) (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) (sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3))) (/.f64 1 (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2)) (*.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))) (/.f64 1 (*.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2)) (*.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1))))) (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 1/2) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3))) (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2)) (*.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))) (*.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 3)))) (neg.f64 (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2)) (*.f64 1/4 (cos.f64 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2)))) (neg.f64 (*.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2) 3)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)) (*.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) (-.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2))) 1))))))

simplify40.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

681×	`distribute-rgt-neg-in_binary64`
568×	`fma-neg_binary64`
559×	`associate-l_binary64`
402×	`fma-def_binary64`
338×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	574
1	99	569
2	240	526
3	558	522
4	1262	522
5	3494	522

Stop Event

1×	node limit

Counts

92 → 68

Calls

Call 1

Inputs
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1)))) (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda2)))
(-.f64 (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) 1/2) (*.f64 1/2 (cos.f64 lambda2)))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))

Outputs
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
(pow.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 (cos.f64 lambda1) -1/2))
(fma.f64 (cos.f64 lambda1) -1/2 1/2)
(-.f64 (+.f64 1/2 (.f64 1/4 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1)))) (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (-.f64 (.f64 (.f64 1/4 (.f64 lambda2 lambda2)) (cos.f64 lambda1)) (.f64 1/2 (cos.f64 lambda1))))
(+.f64 1/2 (.f64 (cos.f64 lambda1) (-.f64 (.f64 1/4 (*.f64 lambda2 lambda2)) 1/2)))
(fma.f64 (cos.f64 lambda1) (fma.f64 1/4 (*.f64 lambda2 lambda2) -1/2) 1/2)
(fma.f64 (cos.f64 lambda1) (fma.f64 lambda2 (*.f64 lambda2 1/4) -1/2) 1/2)
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
(+.f64 1/2 (.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2))
(fma.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2 1/2)
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
(+.f64 1/2 (.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2))
(fma.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2 1/2)
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
(+.f64 1/2 (.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2))
(fma.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2 1/2)
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
(+.f64 1/2 (.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2))
(fma.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2 1/2)
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
(+.f64 1/2 (.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2))
(fma.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2 1/2)
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
(+.f64 1/2 (.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2))
(fma.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2 1/2)
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
(+.f64 1/2 (.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2))
(fma.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2 1/2)
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
(+.f64 1/2 (.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2))
(fma.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda2)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 lambda2)))
(+.f64 1/2 (*.f64 (cos.f64 lambda2) -1/2))
(fma.f64 (cos.f64 lambda2) -1/2 1/2)
(-.f64 (+.f64 (.f64 1/4 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))) 1/2) (*.f64 1/2 (cos.f64 lambda2)))
(+.f64 (fma.f64 1/4 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) 1/2) (*.f64 -1/2 (cos.f64 lambda2)))
(+.f64 (fma.f64 1/4 (.f64 lambda1 (.f64 lambda1 (cos.f64 lambda2))) 1/2) (*.f64 (cos.f64 lambda2) -1/2))
(+.f64 1/2 (.f64 (cos.f64 lambda2) (-.f64 (.f64 1/4 (*.f64 lambda1 lambda1)) 1/2)))
(fma.f64 (cos.f64 lambda2) (fma.f64 lambda1 (*.f64 lambda1 1/4) -1/2) 1/2)
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
(+.f64 1/2 (.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2))
(fma.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2 1/2)
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
(+.f64 1/2 (.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2))
(fma.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2 1/2)
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
(+.f64 1/2 (.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2))
(fma.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2 1/2)
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
(+.f64 1/2 (.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2))
(fma.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2 1/2)
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
(+.f64 1/2 (.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2))
(fma.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2 1/2)
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
(+.f64 1/2 (.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2))
(fma.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2 1/2)
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
(+.f64 1/2 (.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2))
(fma.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2 1/2)
(-.f64 1/2 (.f64 1/2 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))
(+.f64 1/2 (.f64 -1/2 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))
(+.f64 1/2 (.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2))
(fma.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) -1/2 1/2)

eval291.0ms (0.8%)

Compiler: Compiled 22275 to 10785 computations (51.6% saved)

prune965.0ms (2.8%)

Pruning

41 alts after pruning (41 fresh and 0 done)

	Pruned	Kept	Total
New	247	17	264
Fresh	15	24	39
Picked	1	0	1
Done	0	0	0
Total	263	41	304

Error

22.2b

Counts

304 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	36.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (fma.f64 -1/8 (.f64 phi1 (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3)) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2))))) 2)))))))))
	41.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3) 1/3) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	34.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	30.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))))
	24.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2) (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2)))))))))
	36.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	34.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 3)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	24.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2)))))))))
	31.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)) (.f64 (+.f64 (.f64 -1/8 (.f64 phi2 phi2)) 1) (sin.f64 (.f64 1/2 phi1)))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	33.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 -1/2 (cos.f64 lambda2) 1/2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	31.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))))
▶	24.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 1) 2)))))))))
	35.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (fma.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1))) (sin.f64 (.f64 -1/2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	25.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3)) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	31.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	33.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	24.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (cbrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	26.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (pow.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1)))) 3) 1/3)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	34.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	31.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)))))))
	34.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	34.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	31.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))))))
	31.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
	33.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	32.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (log.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	33.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (-.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))) (.f64 (sin.f64 (-.f64 lambda2 lambda1)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
	34.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	32.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	24.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)) (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cos.f64 (+.f64 lambda2 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	35.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (.f64 1/2 lambda2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	24.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (-.f64 (.f64 (sin.f64 (/.f64 lambda2 2)) (cos.f64 (/.f64 lambda1 2))) (.f64 (cos.f64 (/.f64 lambda2 2)) (sin.f64 (/.f64 lambda1 2)))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	24.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (-.f64 (.f64 (sin.f64 (/.f64 lambda2 2)) (cos.f64 (/.f64 lambda1 2))) (.f64 (cos.f64 (/.f64 lambda2 2)) (sin.f64 (/.f64 lambda1 2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	35.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 (.f64 (-.f64 lambda2 lambda1) 1/2) (.f64 (-.f64 lambda2 lambda1) 1/2))) (cos.f64 (-.f64 lambda2 lambda1)))) (sqrt.f64 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
	24.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (fabs.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))))
	31.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))))))))

Compiler

Compiled 6420 to 4266 computations (33.6% saved)

localize55.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.8b	(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
	3.0b	(sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))
✓	3.8b	(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 1)
	8.9b	(cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))

series128.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	phi1	@	inf	(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 1)
36.0ms	phi2	@	inf	(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 1)
25.0ms	phi1	@	-inf	(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 1)
18.0ms	phi2	@	-inf	(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 1)
3.0ms	phi2	@	0	(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 1)

rewrite43.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`prod-diff_binary64`
256×	`fma-def_binary64`
182×	`log1p-udef_binary64`
181×	`expm1-udef_binary64`
163×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	9
1	231	9
2	2711	9

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (cos.f64 (*.f64 -1/2 (neg.f64 phi1)))) (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 (neg.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 2) (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) (sqrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1) 2) (+.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))) (/.f64 1 (+.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1) 2) (+.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1) 1)) (expm1.f64 (*.f64 3 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1) 1) (expm1.f64 (*.f64 2 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))) (+.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1) 2) (+.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))) (+.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1) 2) (-.f64 1 (*.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))) (+.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))))) (neg.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1) 2) (+.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))))) (neg.f64 (+.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1)) 2) (cbrt.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1)) (sqrt.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1)) (*.f64 (sqrt.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 1))))))

simplify34.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

676×	`fma-def_binary64`
492×	`distribute-rgt-in_binary64`
488×	`distribute-lft-in_binary64`
333×	`times-frac_binary64`
283×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	1014
1	402	982
2	1500	838

Stop Event

1×	node limit

Counts

63 → 56

Calls

Call 1

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

Outputs
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))
(fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (*.f64 1/2 phi1)))
(fma.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 phi1)) phi2) (sin.f64 (*.f64 1/2 phi1)))
(+.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (/.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 1 (sin.f64 (.f64 1/2 phi1))))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 1/2 phi1))) 2))))) (.f64 1/8 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 1/2 phi1))) 2)))) (.f64 (pow.f64 phi2 2) (+.f64 1 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(fma.f64 (fma.f64 1/2 (.f64 -1/4 (+.f64 (/.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (sin.f64 (.f64 1/2 phi1)) 1)) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) 2)))) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) 2)) 1/8)) (.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) (.f64 phi2 phi2)) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) 2)) 1/8 (.f64 -1/8 (+.f64 (/.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (sin.f64 (.f64 1/2 phi1)) 1)) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) 2))))) (.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) (.f64 phi2 phi2)) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (*.f64 1/2 phi1))))
(fma.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) (.f64 (fma.f64 (/.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (sin.f64 (.f64 1/2 phi1)) 1)) -1/8 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi1)) 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) 2)) 0)) (.f64 phi2 phi2)) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 phi1)) phi2) (sin.f64 (*.f64 1/2 phi1))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (/.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 1 (sin.f64 (.f64 1/2 phi1))))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 1/2 phi1))) 2))))) (.f64 1/8 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 1/2 phi1))) 2)))) (.f64 (pow.f64 phi2 2) (+.f64 1 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 (pow.f64 phi2 3) (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (.f64 -1/4 (/.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 1 (sin.f64 (.f64 1/2 phi1))))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 1/2 phi1))) 2))))) (+.f64 1 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 3) (pow.f64 (+.f64 1 (sin.f64 (.f64 1/2 phi1))) 3))) (.f64 1/6 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 3) (pow.f64 (+.f64 1 (sin.f64 (.f64 1/2 phi1))) 3))) (+.f64 (.f64 1/8 (/.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 1 (sin.f64 (.f64 1/2 phi1))))) (.f64 -3/8 (/.f64 (.f64 (cos.f64 (.f64 1/2 phi1)) (sin.f64 (.f64 1/2 phi1))) (pow.f64 (+.f64 1 (sin.f64 (.f64 1/2 phi1))) 2)))))))) (+.f64 1 (sin.f64 (.f64 1/2 phi1))))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)))))
(fma.f64 (fma.f64 1/2 (.f64 -1/4 (+.f64 (/.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (sin.f64 (.f64 1/2 phi1)) 1)) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) 2)))) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) 2)) 1/8)) (.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) (.f64 phi2 phi2)) (fma.f64 (pow.f64 phi2 3) (.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) (fma.f64 -1/4 (/.f64 (cos.f64 (.f64 1/2 phi1)) (/.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) (.f64 -1/4 (+.f64 (/.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (sin.f64 (.f64 1/2 phi1)) 1)) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) 2)))))) (fma.f64 -1/48 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 3) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) 3)) (.f64 1/6 (fma.f64 -1/4 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 3) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) 3)) (fma.f64 1/8 (/.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (sin.f64 (.f64 1/2 phi1)) 1)) (.f64 -3/8 (/.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) 2))))))))) (+.f64 (sin.f64 (.f64 1/2 phi1)) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)))))
(+.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1))) (.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) (+.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) 2)) 1/8 (.f64 -1/8 (+.f64 (/.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (sin.f64 (.f64 1/2 phi1)) 1)) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) 2))))) (.f64 phi2 phi2)) (.f64 (pow.f64 phi2 3) (fma.f64 -1/4 (.f64 (/.f64 (cos.f64 (.f64 1/2 phi1)) (+.f64 (sin.f64 (.f64 1/2 phi1)) 1)) (.f64 -1/4 (+.f64 (/.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (sin.f64 (.f64 1/2 phi1)) 1)) (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) 2))))) (fma.f64 1/6 (fma.f64 -1/4 (/.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 3) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) 3)) (fma.f64 -3/8 (/.f64 (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 1/2 phi1))) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) 2)) (/.f64 1/8 (/.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) (cos.f64 (.f64 1/2 phi1)))))) (/.f64 (.f64 -1/48 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 3)) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) 3))))))))
(fma.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) (.f64 (.f64 phi2 phi2) (+.f64 (fma.f64 (/.f64 (sin.f64 (.f64 1/2 phi1)) (+.f64 (sin.f64 (.f64 1/2 phi1)) 1)) -1/8 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi1)) 2) (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) 2)) 0)) (.f64 phi2 (fma.f64 -1/4 (+.f64 (.f64 -1/4 (pow.f64 (/.f64 (cos.f64 (.f64 -1/2 phi1)) (+.f64 (sin.f64 (.f64 1/2 phi1)) 1)) 3)) (.f64 (.f64 (/.f64 -1/4 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1)) (sin.f64 (.f64 1/2 phi1))) (/.f64 (cos.f64 (.f64 -1/2 phi1)) (+.f64 (sin.f64 (.f64 1/2 phi1)) 1)))) (+.f64 (.f64 (pow.f64 (/.f64 (cos.f64 (.f64 -1/2 phi1)) (+.f64 (sin.f64 (.f64 1/2 phi1)) 1)) 3) -1/16) (+.f64 (/.f64 -1/16 (/.f64 (pow.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) 2) (.f64 (sin.f64 (.f64 1/2 phi1)) (cos.f64 (.f64 -1/2 phi1))))) (/.f64 1/48 (/.f64 (+.f64 (sin.f64 (.f64 1/2 phi1)) 1) (cos.f64 (.f64 -1/2 phi1)))))))))) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1))))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 1/2 (+.f64 (.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (.f64 -1/2 phi2)))
(fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (*.f64 -1/2 phi2)))
(+.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (/.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 1 (sin.f64 (.f64 -1/2 phi2))))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2))))) (.f64 1/8 (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2)))) (.f64 (pow.f64 phi1 2) (+.f64 1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(fma.f64 (fma.f64 1/2 (.f64 -1/4 (+.f64 (/.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 1 (sin.f64 (.f64 -1/2 phi2)))) (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2)))) (.f64 1/8 (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2)))) (.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) (.f64 phi1 phi1)) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2))))
(fma.f64 (fma.f64 1/8 (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2)) (.f64 -1/8 (+.f64 (/.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 1 (sin.f64 (.f64 -1/2 phi2)))) (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2))))) (.f64 phi1 (.f64 phi1 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))))) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (*.f64 -1/2 phi2))))
(fma.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) (.f64 (fma.f64 (/.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 1 (sin.f64 (.f64 -1/2 phi2)))) -1/8 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2)) 0)) (.f64 phi1 phi1)) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (.f64 (pow.f64 phi1 3) (.f64 (+.f64 (.f64 1/48 (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 3) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 3))) (+.f64 (.f64 1/6 (+.f64 (.f64 -1/8 (/.f64 (cos.f64 (.f64 -1/2 phi2)) (+.f64 1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 3) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 3))) (.f64 3/8 (/.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (sin.f64 (.f64 -1/2 phi2))) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2)))))) (.f64 1/4 (/.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) (+.f64 (.f64 -1/4 (/.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 1 (sin.f64 (.f64 -1/2 phi2))))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2))))) (+.f64 1 (sin.f64 (.f64 -1/2 phi2))))))) (+.f64 1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (/.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 1 (sin.f64 (.f64 -1/2 phi2))))) (.f64 -1/4 (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2))))) (.f64 1/8 (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2)))) (.f64 (pow.f64 phi1 2) (+.f64 1 (sin.f64 (.f64 -1/2 phi2))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2)))))
(fma.f64 (pow.f64 phi1 3) (.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) (fma.f64 1/48 (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 3) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 3)) (fma.f64 1/6 (fma.f64 -1/8 (/.f64 (cos.f64 (.f64 -1/2 phi2)) (+.f64 1 (sin.f64 (.f64 -1/2 phi2)))) (fma.f64 1/4 (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 3) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 3)) (.f64 3/8 (/.f64 (cos.f64 (.f64 -1/2 phi2)) (/.f64 (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2) (sin.f64 (.f64 -1/2 phi2))))))) (.f64 1/4 (/.f64 (cos.f64 (.f64 -1/2 phi2)) (/.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) (.f64 -1/4 (+.f64 (/.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 1 (sin.f64 (.f64 -1/2 phi2)))) (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2)))))))))) (fma.f64 (fma.f64 1/2 (.f64 -1/4 (+.f64 (/.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 1 (sin.f64 (.f64 -1/2 phi2)))) (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2)))) (.f64 1/8 (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2)))) (.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) (.f64 phi1 phi1)) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2)))))
(+.f64 (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2))) (.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) (+.f64 (.f64 (pow.f64 phi1 3) (fma.f64 1/48 (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 3) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 3)) (fma.f64 1/6 (fma.f64 -1/8 (/.f64 (cos.f64 (.f64 -1/2 phi2)) (+.f64 1 (sin.f64 (.f64 -1/2 phi2)))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 3) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 3)) 1/4 (/.f64 (.f64 (.f64 3/8 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2))) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2)))) (.f64 1/4 (.f64 (/.f64 (cos.f64 (.f64 -1/2 phi2)) (+.f64 1 (sin.f64 (.f64 -1/2 phi2)))) (.f64 -1/4 (+.f64 (/.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 1 (sin.f64 (.f64 -1/2 phi2)))) (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2))))))))) (.f64 (fma.f64 1/8 (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2)) (.f64 -1/8 (+.f64 (/.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 1 (sin.f64 (.f64 -1/2 phi2)))) (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2))))) (*.f64 phi1 phi1)))))
(fma.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) (.f64 (.f64 phi1 phi1) (+.f64 (.f64 phi1 (fma.f64 1/6 (fma.f64 (pow.f64 (/.f64 (cos.f64 (.f64 -1/2 phi2)) (+.f64 1 (sin.f64 (.f64 -1/2 phi2)))) 3) 1/4 (fma.f64 3/8 (.f64 (/.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2)) (sin.f64 (.f64 -1/2 phi2))) (/.f64 (.f64 (cos.f64 (.f64 -1/2 phi2)) -1/8) (+.f64 1 (sin.f64 (.f64 -1/2 phi2)))))) (fma.f64 1/4 (.f64 (/.f64 (cos.f64 (.f64 -1/2 phi2)) (/.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) -1/4)) (+.f64 (/.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 1 (sin.f64 (.f64 -1/2 phi2)))) (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2)))) (.f64 1/48 (pow.f64 (/.f64 (cos.f64 (.f64 -1/2 phi2)) (+.f64 1 (sin.f64 (.f64 -1/2 phi2)))) 3))))) (fma.f64 (/.f64 (sin.f64 (.f64 -1/2 phi2)) (+.f64 1 (sin.f64 (.f64 -1/2 phi2)))) -1/8 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (pow.f64 (+.f64 1 (sin.f64 (.f64 -1/2 phi2))) 2)) 0)))) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (*.f64 -1/2 phi2))))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (.f64 -1/2 (+.f64 (.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))

eval342.0ms (1%)

Compiler: Compiled 26338 to 13192 computations (49.9% saved)

prune959.0ms (2.7%)

Pruning

40 alts after pruning (40 fresh and 0 done)

	Pruned	Kept	Total
New	274	5	279
Fresh	5	35	40
Picked	1	0	1
Done	0	0	0
Total	280	40	320

Error

22.1b

Counts

320 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	41.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3) 1/3) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	34.7b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	30.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 1/2 phi1)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))))
	24.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2) (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2)))))))))
	36.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 lambda2 (.f64 (sin.f64 (.f64 -1/2 lambda1)) (cos.f64 (.f64 -1/2 lambda1))) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	34.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 3)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	23.5b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 (neg.f64 phi1) -1/2))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (sin.f64 (.f64 (neg.f64 phi1) -1/2)))) 2)))))))))
	31.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)) (.f64 (+.f64 (.f64 -1/8 (.f64 phi2 phi2)) 1) (sin.f64 (.f64 1/2 phi1)))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	33.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 -1/2 (cos.f64 lambda2) 1/2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	31.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))))
	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))))
	24.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3)))) 1) 2)))))))))
	31.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2) (sin.f64 (.f64 1/2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	33.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	34.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	31.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi2)))))))
	24.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (cbrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) -1/2 1/2)) 2))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	34.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	34.9b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	31.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (.f64 -1/2 phi2)) 2) (.f64 (pow.f64 (sin.f64 (.f64 1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2))))))))
	31.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2)))))))))
	33.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 1/2 lambda2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	32.6b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sqrt.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (log.f64 (exp.f64 (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
	33.0b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (-.f64 (.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))) (.f64 (sin.f64 (-.f64 lambda2 lambda1)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	24.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)) 2)) (+.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))))
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	32.3b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (.f64 -1/2 lambda1)) 2)) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
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	24.2b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (fabs.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
	24.1b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 1)) 1) (expm1.f64 (.f64 1/2 (log1p.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))))) 2)))))))))
	35.4b	(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (fma.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1))) (sin.f64 (.f64 -1/2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))

Compiler

Compiled 3162 to 2102 computations (33.5% saved)

regimes764.0ms (2.2%)

Accuracy

Total -39.3b remaining (-167.2%)

Threshold costs -39.3b (-167.2%)

Counts

78 → 1

Calls

Call 1

Inputs
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (+.f64 (.f64 (sin.f64 (.f64 phi2 -1/2)) (cos.f64 (.f64 (neg.f64 phi1) -1/2))) (.f64 (cos.f64 (.f64 phi2 -1/2)) (sin.f64 (.f64 (neg.f64 phi1) -1/2)))) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3)))) 1) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (fma.f64 (cbrt.f64 (+.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 1)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 1)) 2) -1) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 1)) 1) (expm1.f64 (.f64 1/2 (log1p.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))))))) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (fma.f64 -1/8 (.f64 phi1 (.f64 phi1 (sin.f64 (.f64 -1/2 phi2)))) (fma.f64 -1/48 (.f64 (cos.f64 (.f64 -1/2 phi2)) (pow.f64 phi1 3)) (fma.f64 1/2 (.f64 phi1 (cos.f64 (.f64 -1/2 phi2))) (sin.f64 (.f64 -1/2 phi2))))) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (pow.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3) 1/3) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1)))) 2) (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 1/2 phi1)) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (-.f64 lambda2 lambda1) 1/2)) 3)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 phi1)) phi2)) (.f64 (+.f64 (.f64 -1/8 (.f64 phi2 phi2)) 1) (sin.f64 (.f64 1/2 phi1)))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 1) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (fma.f64 1/2 (.f64 lambda2 (cos.f64 (.f64 -1/2 lambda1))) (sin.f64 (.f64 -1/2 lambda1))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 3)) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (.f64 -1/2 lambda1)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 1/2 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))))
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(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 (-.f64 1 (.f64 (.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (.f64 lambda1 (.f64 lambda1 (fma.f64 -1/4 (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2) (.f64 1/4 (pow.f64 (cos.f64 (.f64 1/2 lambda2)) 2))))) (.f64 lambda1 (.f64 (.f64 (sin.f64 (.f64 1/2 lambda2)) (cos.f64 (.f64 1/2 lambda2))) -1))))) (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (.f64 1/2 lambda2)) 2)) (pow.f64 (sin.f64 (.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (-.f64 (.f64 (sin.f64 (/.f64 lambda2 2)) (cos.f64 (/.f64 lambda1 2))) (.f64 (cos.f64 (/.f64 lambda2 2)) (sin.f64 (/.f64 lambda1 2)))))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))

Outputs

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2)))))))))

Results

Time	Error	Segments	Branch
39.0ms	23.5b	1	`R`
38.0ms	23.5b	1	`lambda1`
38.0ms	23.5b	1	`lambda2`
39.0ms	23.5b	1	`phi1`
45.0ms	23.5b	1	`phi2`
79.0ms	23.5b	1	`(.f64 R (.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))`
55.0ms	23.5b	1	`(.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))`
67.0ms	23.5b	1	`(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))`
38.0ms	23.5b	1	`(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (.f64 (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))`
40.0ms	23.5b	1	`(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))`
38.0ms	23.5b	1	`(/.f64 (-.f64 lambda1 lambda2) 2)`
38.0ms	23.5b	1	`(-.f64 lambda1 lambda2)`

Compiler

Compiled 6019 to 3364 computations (44.1% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary64`
11×	`+-commutative_binary64`
10×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	156
1	84	152
2	107	152
3	120	152
4	126	152
5	127	152

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2)))))))))

Outputs

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2)))))))))

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 -1/2 (neg.f64 phi1)))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 -1/2 (neg.f64 phi1))))) 2)))))))))

(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (-.f64 1/2 (*.f64 1/2 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (*.f64 (sin.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 phi1 1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 phi1 1/2)))) 2)))))))))

end56.0ms (0.2%)

Stop Event

1×

fuel

Compiler

Compiled 198 to 130 computations (34.3% saved)

Details

analyze9.0s (25.8%)

sample18.6s (53.3%)

preprocess65.0ms (0.2%)

simplify41.0ms (0.1%)

eval2.0ms (0%)

prune6.0ms (0%)

localize26.0ms (0.1%)

series39.0ms (0.1%)

rewrite44.0ms (0.1%)

simplify88.0ms (0.3%)

eval428.0ms (1.2%)

prune1.3s (3.8%)

localize39.0ms (0.1%)

series6.0ms (0%)

rewrite78.0ms (0.2%)

simplify36.0ms (0.1%)

eval299.0ms (0.9%)

prune945.0ms (2.7%)

localize49.0ms (0.1%)

series41.0ms (0.1%)

rewrite57.0ms (0.2%)

simplify40.0ms (0.1%)

eval291.0ms (0.8%)

prune965.0ms (2.8%)

localize55.0ms (0.2%)

series128.0ms (0.4%)

rewrite43.0ms (0.1%)

simplify34.0ms (0.1%)

eval342.0ms (1%)

prune959.0ms (2.7%)

regimes764.0ms (2.2%)

simplify6.0ms (0%)

end56.0ms (0.2%)

Profiling