Details

analyze5.0s (30.4%)

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
3.1%	96.6%	0.2%	11
4.7%	95.1%	0.2%	12
11.7%	88.1%	0.2%	13
11.7%	88.1%	0.2%	14

Compiler

Compiled 39 to 24 computations (38.5% saved)

sample9.9s (60.8%)

Results

7.1s	4096×	body	1024	valid
1.5s	1351×	body	512	valid
818.0ms	2226×	body	128	valid
493.0ms	573×	body	256	valid
49.0ms	10×	body	2048	valid

preprocess58.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

970×	`fma-def_binary64`
456×	`distribute-rgt-neg-out_binary64`
282×	`distribute-rgt-in_binary64`
225×	`cancel-sign-sub-inv_binary64`
210×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	583
1	290	583
2	508	583
3	715	583
4	891	583
5	1451	583
6	2671	583
7	3583	583
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 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
(+.f64 phi1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 lambda1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 lambda1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 lambda1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 lambda1) (sin.f64 delta)) (cos.f64 theta)))))))))
(+.f64 phi2 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
(+.f64 delta (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 lambda1)) (cos.f64 phi1)) (-.f64 (cos.f64 lambda1) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda1)) (cos.f64 theta)))))))))
(+.f64 theta (atan2.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 lambda1)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi2)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi2) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi2) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi2) (sin.f64 delta)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 phi1)) (cos.f64 delta)) (-.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 delta)) (cos.f64 theta)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 theta) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 theta) (cos.f64 delta)) (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 phi2)) (cos.f64 phi1)) (-.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 phi2) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 phi2)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 phi1)) (-.f64 (cos.f64 theta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 theta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 theta)) (cos.f64 delta)))))))))

Outputs
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 theta))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))))))
(+.f64 phi1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 lambda1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 lambda1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 lambda1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 lambda1) (sin.f64 delta)) (cos.f64 theta)))))))))
(+.f64 phi1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 lambda1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 lambda1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 lambda1) (cos.f64 delta) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 lambda1))))))))))
(+.f64 phi1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 lambda1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 lambda1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 lambda1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 lambda1) (cos.f64 theta))))))))))
(+.f64 phi1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 lambda1))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 lambda1)) (.f64 (cos.f64 delta) (sin.f64 lambda1))))) (neg.f64 (sin.f64 lambda1)) (cos.f64 delta))))
(+.f64 phi1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 lambda1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 lambda1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 lambda1) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 lambda1))))))))))
(+.f64 phi1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 lambda1))) (fma.f64 (sin.f64 lambda1) (neg.f64 (sin.f64 (asin.f64 (fma.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 lambda1)) (.f64 (cos.f64 delta) (sin.f64 lambda1)))))) (cos.f64 delta))))
(+.f64 phi2 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
(+.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 theta))))))))) phi2)
(+.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))))) phi2)
(+.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))) phi2)
(+.f64 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))))) phi2)
(+.f64 delta (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 lambda1)) (cos.f64 phi1)) (-.f64 (cos.f64 lambda1) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 lambda1)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 lambda1)) (cos.f64 theta)))))))))
(+.f64 delta (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (-.f64 (cos.f64 lambda1) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 lambda1) (.f64 (cos.f64 theta) (*.f64 (cos.f64 phi1) (sin.f64 lambda1))))))))))
(+.f64 delta (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (-.f64 (cos.f64 lambda1) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 lambda1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))))))
(+.f64 delta (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 lambda1)) (.f64 (sin.f64 phi1) (cos.f64 lambda1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 lambda1))))
(+.f64 delta (atan2.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 theta) (cos.f64 phi1))) (-.f64 (cos.f64 lambda1) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 lambda1)) (*.f64 (sin.f64 phi1) (cos.f64 lambda1)))))))))
(+.f64 theta (atan2.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 lambda1)))))))))
(+.f64 theta (atan2.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 lambda1))))))))))
(+.f64 theta (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 lambda1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))))))
(+.f64 theta (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (fma.f64 (sin.f64 phi1) (neg.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 lambda1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (cos.f64 delta))))
(+.f64 theta (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 lambda1))))))))))
(+.f64 theta (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 lambda1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 lambda1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi2)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi2) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi2) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi2) (sin.f64 delta)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi2))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi2) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi2) (cos.f64 delta) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi2))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi2))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi2) (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi2)) (*.f64 (cos.f64 delta) (sin.f64 phi2)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi2))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi2)) (.f64 (cos.f64 delta) (sin.f64 phi2))))) (neg.f64 (sin.f64 phi2)) (cos.f64 delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi2)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi2) (sin.f64 (asin.f64 (fma.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi2)) (*.f64 (cos.f64 delta) (sin.f64 phi2)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi2))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (sin.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi2)) (.f64 (cos.f64 delta) (sin.f64 phi2))))) (neg.f64 (sin.f64 phi2)) (cos.f64 delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 phi1)) (cos.f64 delta)) (-.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 delta) (sin.f64 phi1))) (-.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 (asin.f64 (fma.f64 (sin.f64 delta) (cos.f64 phi1) (.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (cos.f64 theta))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 delta) (sin.f64 phi1))) (fma.f64 (sin.f64 delta) (neg.f64 (sin.f64 (asin.f64 (fma.f64 (sin.f64 delta) (cos.f64 phi1) (.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (cos.f64 theta))))))) (cos.f64 phi1))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 delta)) (cos.f64 theta)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 theta) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 theta) (cos.f64 delta)) (.f64 (.f64 (cos.f64 theta) (sin.f64 delta)) (cos.f64 phi1)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 theta))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 theta) (sin.f64 (asin.f64 (fma.f64 (sin.f64 theta) (cos.f64 delta) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 theta))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (cos.f64 theta))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 theta) (sin.f64 (asin.f64 (fma.f64 (sin.f64 theta) (cos.f64 delta) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (cos.f64 theta))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (sin.f64 theta) (cos.f64 delta) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)))))) (neg.f64 (sin.f64 theta)) (cos.f64 delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (cos.f64 theta))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (sin.f64 theta) (cos.f64 delta) (.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)))))) (neg.f64 (sin.f64 theta)) (cos.f64 delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 phi2)) (cos.f64 phi1)) (-.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 phi2))) (-.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 phi2) (cos.f64 theta))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 phi2))) (-.f64 (cos.f64 phi2) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 phi2) (.f64 (cos.f64 phi1) (*.f64 (cos.f64 theta) (sin.f64 phi2))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 phi2))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 phi2) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 phi2)))))) (neg.f64 (sin.f64 phi1)) (cos.f64 phi2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 phi2))) (fma.f64 (sin.f64 phi1) (neg.f64 (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 phi2) (.f64 (cos.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 phi2))))))) (cos.f64 phi2))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) (sin.f64 phi2))) (fma.f64 (sin.f64 phi1) (neg.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (sin.f64 phi2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))))) (cos.f64 phi2))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 phi2) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 phi2)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 phi2))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (cos.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 phi2))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 phi2))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 phi2))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 phi2) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 phi2))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 phi1)) (-.f64 (cos.f64 theta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 theta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 theta)) (cos.f64 delta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 theta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 theta) (.f64 (cos.f64 delta) (*.f64 (sin.f64 theta) (cos.f64 phi1))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 theta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (cos.f64 delta)) (*.f64 (sin.f64 phi1) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) (cos.f64 delta)) (.f64 (sin.f64 phi1) (cos.f64 theta))))) (neg.f64 (sin.f64 phi1)) (cos.f64 theta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 theta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 theta) (.f64 (cos.f64 phi1) (cos.f64 delta)) (*.f64 (sin.f64 phi1) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (.f64 (sin.f64 theta) (cos.f64 phi1)) (.f64 (sin.f64 phi1) (cos.f64 theta))))) (neg.f64 (sin.f64 phi1)) (cos.f64 theta))))

Compiler

Compiled 38 to 23 computations (39.5% saved)

simplify40.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

571×	`fma-def_binary64`
244×	`fma-neg_binary64`
103×	`unsub-neg_binary64`
88×	`distribute-rgt-in_binary64`
84×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	53
1	41	53
2	70	53
3	94	53
4	114	53
5	152	53
6	223	53
7	294	53
8	423	53
9	559	53
10	633	53
11	762	53
12	897	53
13	1091	53
14	1332	53
15	1650	53
16	1817	53
17	1991	53
18	1993	53
19	1999	53
20	2004	53

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs

(+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))

Outputs
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1))))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))

eval1.0ms (0%)

Compiler: Compiled 70 to 34 computations (51.4% saved)

prune4.0ms (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

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))

Status

Error

Program

▶

0.1b

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))

0.1b

(+.f64 lambda1 (atan2.f64 (*.f64 (*.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))

Compiler

Compiled 150 to 90 computations (40% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cos.f64 delta) (sin.f64 phi1))
✓	0.3b	(asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))
✓	0.3b	(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
✓	0.5b	(fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))

series36.0ms (0.2%)

Counts

4 → 56

Calls

33 calls:

Time	Variable		Point	Expression
4.0ms	delta	@	0	(asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))
3.0ms	delta	@	0	(*.f64 (cos.f64 delta) (sin.f64 phi1))
3.0ms	theta	@	inf	(fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))
2.0ms	phi1	@	0	(fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))
2.0ms	delta	@	inf	(fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

879×	`prod-diff_binary64`
194×	`add-sqr-sqrt_binary64`
191×	`*-un-lft-identity_binary64`
191×	`pow1_binary64`
177×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	75
1	390	73
2	4723	73

Stop Event

1×	node limit

Counts

4 → 91

Calls

Call 1

Inputs
(fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
(asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))
(*.f64 (cos.f64 delta) (sin.f64 phi1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (cos.f64 delta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) 1) (cos.f64 delta))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))) (sin.f64 phi1) (cos.f64 delta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))) (sin.f64 phi1) (cos.f64 delta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))) (sin.f64 phi1) (cos.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))) (sin.f64 phi1) (cos.f64 delta))) (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))) (sin.f64 phi1) (cos.f64 delta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))) (sin.f64 phi1) (cos.f64 delta)) 2)) (cbrt.f64 (fma.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))) (sin.f64 phi1) (cos.f64 delta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))) (sin.f64 phi1) (cos.f64 delta))) (sqrt.f64 (fma.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))) (sin.f64 phi1) (cos.f64 delta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) 3) (pow.f64 (cos.f64 delta) 3)) (+.f64 (.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (-.f64 (pow.f64 (cos.f64 delta) 2) (.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (cos.f64 delta)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fabs.f64 (remainder.f64 (+.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 (PI.f64) 1/2)) (.f64 2 (PI.f64)))) (.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (cbrt.f64 (pow.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) 2)) (cbrt.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (sqrt.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (.f64 (.f64 (PI.f64) 1/2) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (+.f64 (.f64 (PI.f64) 1/2) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 (-.f64 phi1 delta)) (sin.f64 (+.f64 delta phi1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 delta) (sin.f64 phi1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cos.f64 delta) (sin.f64 phi1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 delta)) (sin.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (cos.f64 delta) 3) (pow.f64 (sin.f64 phi1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sin.f64 phi1) 3) (pow.f64 (cos.f64 delta) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cos.f64 delta) (sin.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 delta) (sin.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cos.f64 delta) (sin.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1))) 1))))))

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

966×	`fma-neg_binary64`
355×	`associate-+l+_binary64`
249×	`associate-r_binary64`
233×	`associate-+r+_binary64`
212×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	179	1904
1	561	1799
2	1934	1679
3	3938	1677

Stop Event

1×	node limit

Counts

147 → 153

Calls

Call 1

Inputs
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1)))))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1))))) (.f64 -1/24 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 4) (cos.f64 phi1))))))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (+.f64 (.f64 1/720 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 6) (cos.f64 phi1))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1))))) (.f64 -1/24 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 4) (cos.f64 phi1)))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 1 (*.f64 -1 (pow.f64 (sin.f64 phi1) 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 (sin.f64 phi1) 2)) (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta)))))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 (sin.f64 phi1) 2)) (+.f64 (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta))))) (.f64 (pow.f64 delta 2) (-.f64 (*.f64 1/2 (pow.f64 (sin.f64 phi1) 2)) 1/2)))))
(+.f64 1 (+.f64 (.f64 1/6 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) (cos.f64 theta))))) (+.f64 (.f64 -1 (pow.f64 (sin.f64 phi1) 2)) (+.f64 (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta))))) (.f64 (pow.f64 delta 2) (-.f64 (*.f64 1/2 (pow.f64 (sin.f64 phi1) 2)) 1/2))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(cos.f64 delta)
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta)))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (cos.f64 delta) (pow.f64 phi1 2))) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta))))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 (pow.f64 phi1 3) (+.f64 (.f64 1/2 (.f64 (sin.f64 delta) (cos.f64 theta))) (.f64 1/6 (.f64 (sin.f64 delta) (cos.f64 theta))))) (+.f64 (.f64 -1 (.f64 (cos.f64 delta) (pow.f64 phi1 2))) (.f64 -1 (.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta)))
(+.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (.f64 -1/6 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (pow.f64 delta 3)))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (.f64 1/120 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 5)))) (.f64 -1/6 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 3))))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (.f64 1/120 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 5)))) (+.f64 (.f64 -1/6 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 3)))) (.f64 -1/5040 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (pow.f64 delta 7)))))))
(*.f64 (sin.f64 delta) (sin.f64 theta))
(+.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 delta) (sin.f64 theta)))))
(+.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 delta) (sin.f64 theta)))) (.f64 1/24 (.f64 (pow.f64 phi1 4) (*.f64 (sin.f64 delta) (sin.f64 theta))))))
(+.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 delta) (sin.f64 theta)))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (sin.f64 delta) (sin.f64 theta)))) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 delta) (sin.f64 theta)))))))
(.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 3)))) (.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))))
(+.f64 (.f64 1/120 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 5)))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 3)))) (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1)))))
(+.f64 (.f64 1/120 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 5)))) (+.f64 (.f64 -1/5040 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 7)))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 3)))) (.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))))))
(sin.f64 phi1)
(+.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 delta 2))) (sin.f64 phi1))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 delta 2))) (+.f64 (sin.f64 phi1) (.f64 1/24 (.f64 (sin.f64 phi1) (pow.f64 delta 4)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 delta 2))) (+.f64 (.f64 -1/720 (.f64 (sin.f64 phi1) (pow.f64 delta 6))) (+.f64 (sin.f64 phi1) (.f64 1/24 (.f64 (sin.f64 phi1) (pow.f64 delta 4))))))
(*.f64 (cos.f64 delta) phi1)
(+.f64 (.f64 (cos.f64 delta) phi1) (.f64 -1/6 (*.f64 (cos.f64 delta) (pow.f64 phi1 3))))
(+.f64 (.f64 1/120 (.f64 (cos.f64 delta) (pow.f64 phi1 5))) (+.f64 (.f64 (cos.f64 delta) phi1) (.f64 -1/6 (*.f64 (cos.f64 delta) (pow.f64 phi1 3)))))
(+.f64 (.f64 -1/5040 (.f64 (cos.f64 delta) (pow.f64 phi1 7))) (+.f64 (.f64 1/120 (.f64 (cos.f64 delta) (pow.f64 phi1 5))) (+.f64 (.f64 (cos.f64 delta) phi1) (.f64 -1/6 (*.f64 (cos.f64 delta) (pow.f64 phi1 3))))))

Outputs
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (cos.f64 phi1) (.f64 (cos.f64 delta) (sin.f64 phi1))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 phi1)))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1)))))))
(+.f64 (cos.f64 delta) (fma.f64 -1 (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (cos.f64 phi1) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 theta theta)))))))
(+.f64 (cos.f64 delta) (-.f64 (.f64 1/2 (.f64 (.f64 (cos.f64 phi1) (.f64 theta theta)) (.f64 (sin.f64 phi1) (sin.f64 delta)))) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 phi1))))))
(+.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (-.f64 (.f64 (.f64 (sin.f64 delta) 1/2) (.f64 (cos.f64 phi1) (.f64 theta theta))) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 phi1))))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1))))) (.f64 -1/24 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 4) (cos.f64 phi1))))))))
(+.f64 (cos.f64 delta) (fma.f64 -1 (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (cos.f64 phi1) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (fma.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 theta theta)))) (.f64 -1/24 (.f64 (sin.f64 delta) (.f64 (.f64 (sin.f64 phi1) (pow.f64 theta 4)) (cos.f64 phi1)))))))
(+.f64 (cos.f64 delta) (-.f64 (fma.f64 1/2 (.f64 (.f64 (cos.f64 phi1) (.f64 theta theta)) (.f64 (sin.f64 phi1) (sin.f64 delta))) (.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (pow.f64 theta 4))) (.f64 (sin.f64 delta) -1/24))) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 phi1))))))
(-.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 delta)) (+.f64 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 4)) -1/24) (.f64 (.f64 (cos.f64 phi1) (.f64 theta theta)) 1/2))) (-.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 phi1)))) (cos.f64 delta)))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (+.f64 (.f64 1/720 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 6) (cos.f64 phi1))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 2) (cos.f64 phi1))))) (.f64 -1/24 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (pow.f64 theta 4) (cos.f64 phi1)))))))))
(+.f64 (cos.f64 delta) (fma.f64 -1 (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (cos.f64 phi1) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (fma.f64 1/720 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (pow.f64 theta 6)))) (fma.f64 1/2 (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 theta theta)))) (.f64 -1/24 (.f64 (sin.f64 delta) (.f64 (*.f64 (sin.f64 phi1) (pow.f64 theta 4)) (cos.f64 phi1))))))))
(+.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 phi1))))) (fma.f64 1/720 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 6)) (.f64 (sin.f64 phi1) (sin.f64 delta))) (fma.f64 1/2 (.f64 (.f64 (cos.f64 phi1) (.f64 theta theta)) (.f64 (sin.f64 phi1) (sin.f64 delta))) (.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 phi1) (pow.f64 theta 4))) (*.f64 (sin.f64 delta) -1/24)))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 (sin.f64 phi1) (-.f64 (.f64 (.f64 (sin.f64 delta) 1/2) (.f64 (cos.f64 phi1) (.f64 theta theta))) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 phi1))))) (.f64 (.f64 (sin.f64 phi1) (sin.f64 delta)) (+.f64 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 4)) -1/24) (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 6)) 1/720)))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 delta)) (+.f64 (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 4)) -1/24) (.f64 (.f64 (cos.f64 phi1) (.f64 theta theta)) 1/2))) (.f64 (sin.f64 phi1) (-.f64 (.f64 (.f64 (sin.f64 delta) 1/720) (.f64 (cos.f64 phi1) (pow.f64 theta 6))) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (cos.f64 phi1)))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
(+.f64 1 (*.f64 -1 (pow.f64 (sin.f64 phi1) 2)))
(+.f64 1 (neg.f64 (pow.f64 (sin.f64 phi1) 2)))
(-.f64 1 (pow.f64 (sin.f64 phi1) 2))
(*.f64 (cos.f64 phi1) (cos.f64 phi1))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 (sin.f64 phi1) 2)) (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (*.f64 delta (cos.f64 theta)))))))
(+.f64 1 (.f64 -1 (+.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta)))))))
(fma.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (sin.f64 phi1) (.f64 delta (*.f64 (cos.f64 phi1) (cos.f64 theta))))) 1)
(-.f64 1 (.f64 (sin.f64 phi1) (+.f64 (sin.f64 phi1) (.f64 delta (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 (sin.f64 phi1) 2)) (+.f64 (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta))))) (.f64 (pow.f64 delta 2) (-.f64 (*.f64 1/2 (pow.f64 (sin.f64 phi1) 2)) 1/2)))))
(+.f64 1 (fma.f64 -1 (pow.f64 (sin.f64 phi1) 2) (fma.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta)))) (.f64 (*.f64 delta delta) (fma.f64 1/2 (pow.f64 (sin.f64 phi1) 2) -1/2)))))
(+.f64 1 (fma.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (sin.f64 phi1) (.f64 delta (.f64 (cos.f64 phi1) (cos.f64 theta))))) (.f64 delta (*.f64 delta (fma.f64 1/2 (pow.f64 (sin.f64 phi1) 2) -1/2)))))
(+.f64 (.f64 (cos.f64 phi1) (cos.f64 phi1)) (.f64 delta (-.f64 (.f64 (fma.f64 1/2 (pow.f64 (sin.f64 phi1) 2) -1/2) delta) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi1)) (cos.f64 theta)))))
(+.f64 1 (+.f64 (.f64 1/6 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) (cos.f64 theta))))) (+.f64 (.f64 -1 (pow.f64 (sin.f64 phi1) 2)) (+.f64 (.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta))))) (.f64 (pow.f64 delta 2) (-.f64 (*.f64 1/2 (pow.f64 (sin.f64 phi1) 2)) 1/2))))))
(+.f64 1 (fma.f64 1/6 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (pow.f64 delta 3)))) (fma.f64 -1 (pow.f64 (sin.f64 phi1) 2) (fma.f64 -1 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (.f64 delta (cos.f64 theta)))) (.f64 (.f64 delta delta) (fma.f64 1/2 (pow.f64 (sin.f64 phi1) 2) -1/2))))))
(+.f64 1 (fma.f64 1/6 (.f64 (.f64 (cos.f64 theta) (pow.f64 delta 3)) (.f64 (sin.f64 phi1) (cos.f64 phi1))) (fma.f64 -1 (.f64 (sin.f64 phi1) (+.f64 (sin.f64 phi1) (.f64 delta (.f64 (cos.f64 phi1) (cos.f64 theta))))) (.f64 delta (.f64 delta (fma.f64 1/2 (pow.f64 (sin.f64 phi1) 2) -1/2))))))
(+.f64 1 (+.f64 (.f64 delta (-.f64 (.f64 (fma.f64 1/2 (pow.f64 (sin.f64 phi1) 2) -1/2) delta) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi1)) (cos.f64 theta)))) (.f64 (sin.f64 phi1) (-.f64 (.f64 1/6 (.f64 (cos.f64 phi1) (.f64 (cos.f64 theta) (pow.f64 delta 3)))) (sin.f64 phi1)))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (+.f64 (.f64 (cos.f64 delta) (sin.f64 phi1)) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta)))) (sin.f64 phi1))))
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(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
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(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
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(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
(cos.f64 delta)
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta)))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta)))))
(fma.f64 (neg.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 theta)) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 phi1 (.f64 (sin.f64 delta) (cos.f64 theta))))
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(fma.f64 -1 (fma.f64 (cos.f64 delta) (.f64 phi1 phi1) (.f64 phi1 (*.f64 (sin.f64 delta) (cos.f64 theta)))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 phi1 (+.f64 (.f64 (sin.f64 delta) (cos.f64 theta)) (*.f64 (cos.f64 delta) phi1))))
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(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
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(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
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(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
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(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
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(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
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(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
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(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
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(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (cos.f64 theta)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (cos.f64 theta))))))
(.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta)))
(.f64 delta (.f64 (cos.f64 phi1) (sin.f64 theta)))
(+.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (.f64 -1/6 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (pow.f64 delta 3)))))
(fma.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta)) (.f64 -1/6 (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) (sin.f64 theta)))))
(fma.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta)) (.f64 (cos.f64 phi1) (.f64 (.f64 (pow.f64 delta 3) (sin.f64 theta)) -1/6)))
(.f64 (.f64 (cos.f64 phi1) (sin.f64 theta)) (+.f64 delta (*.f64 (pow.f64 delta 3) -1/6)))
(+.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (.f64 1/120 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 5)))) (.f64 -1/6 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 3))))))
(fma.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta)) (fma.f64 1/120 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 5))) (.f64 -1/6 (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) (sin.f64 theta))))))
(fma.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta)) (fma.f64 -1/6 (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) (sin.f64 theta))) (.f64 1/120 (.f64 (sin.f64 theta) (.f64 (pow.f64 delta 5) (cos.f64 phi1))))))
(fma.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 theta)) (+.f64 (.f64 (pow.f64 delta 3) -1/6) (*.f64 (pow.f64 delta 5) 1/120))))
(+.f64 (.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta))) (+.f64 (.f64 1/120 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 5)))) (+.f64 (.f64 -1/6 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 3)))) (.f64 -1/5040 (.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (pow.f64 delta 7)))))))
(fma.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta)) (fma.f64 1/120 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 5))) (fma.f64 -1/6 (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) (sin.f64 theta))) (.f64 -1/5040 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (pow.f64 delta 7)))))))
(fma.f64 (cos.f64 phi1) (.f64 delta (sin.f64 theta)) (fma.f64 1/120 (.f64 (sin.f64 theta) (.f64 (pow.f64 delta 5) (cos.f64 phi1))) (fma.f64 -1/6 (.f64 (cos.f64 phi1) (.f64 (pow.f64 delta 3) (sin.f64 theta))) (.f64 (cos.f64 phi1) (.f64 (.f64 (sin.f64 theta) (pow.f64 delta 7)) -1/5040)))))
(+.f64 (.f64 (.f64 (cos.f64 phi1) (sin.f64 theta)) (+.f64 (.f64 (pow.f64 delta 3) -1/6) (.f64 (pow.f64 delta 5) 1/120))) (.f64 (.f64 (cos.f64 phi1) (sin.f64 theta)) (+.f64 (*.f64 (pow.f64 delta 7) -1/5040) delta)))
(*.f64 (sin.f64 delta) (sin.f64 theta))
(+.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 delta) (sin.f64 theta)))))
(fma.f64 (sin.f64 delta) (sin.f64 theta) (.f64 -1/2 (.f64 (.f64 phi1 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))))
(.f64 (+.f64 (.f64 (.f64 phi1 phi1) -1/2) 1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (+.f64 1 (.f64 (.f64 phi1 phi1) -1/2)) (.f64 (sin.f64 delta) (sin.f64 theta)))
(+.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 delta) (sin.f64 theta)))) (.f64 1/24 (.f64 (pow.f64 phi1 4) (*.f64 (sin.f64 delta) (sin.f64 theta))))))
(fma.f64 (sin.f64 delta) (sin.f64 theta) (fma.f64 -1/2 (.f64 (.f64 phi1 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/24 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (pow.f64 phi1 4)))))
(fma.f64 (sin.f64 delta) (sin.f64 theta) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (.f64 (*.f64 phi1 phi1) -1/2))))
(.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (+.f64 1 (.f64 (.f64 phi1 phi1) -1/2)) (*.f64 1/24 (pow.f64 phi1 4))))
(+.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 phi1 2) (.f64 (sin.f64 delta) (sin.f64 theta)))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 phi1 6) (.f64 (sin.f64 delta) (sin.f64 theta)))) (.f64 1/24 (.f64 (pow.f64 phi1 4) (.f64 (sin.f64 delta) (sin.f64 theta)))))))
(fma.f64 (sin.f64 delta) (sin.f64 theta) (fma.f64 -1/2 (.f64 (.f64 phi1 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))) (fma.f64 -1/720 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (pow.f64 phi1 6)) (.f64 1/24 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (pow.f64 phi1 4))))))
(+.f64 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (.f64 -1/720 (pow.f64 phi1 6)))) (.f64 (+.f64 (.f64 (.f64 phi1 phi1) -1/2) 1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(fma.f64 (sin.f64 delta) (sin.f64 theta) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 (.f64 -1/720 (pow.f64 phi1 6)) (.f64 (.f64 phi1 phi1) -1/2)))))
(.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1)))
(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 3)))) (.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))))
(fma.f64 -1/6 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 3))) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta)))
(fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta) (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 3)) (.f64 (sin.f64 delta) -1/6)))
(.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (+.f64 theta (*.f64 (pow.f64 theta 3) -1/6)))
(+.f64 (.f64 1/120 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 5)))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 3)))) (.f64 (sin.f64 delta) (.f64 theta (cos.f64 phi1)))))
(fma.f64 1/120 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 5))) (fma.f64 -1/6 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 3))) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta))))
(fma.f64 1/120 (.f64 (cos.f64 phi1) (.f64 (pow.f64 theta 5) (sin.f64 delta))) (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta) (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 3)) (.f64 (sin.f64 delta) -1/6))))
(fma.f64 1/120 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 5))) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (+.f64 theta (*.f64 (pow.f64 theta 3) -1/6))))
(+.f64 (.f64 1/120 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 5)))) (+.f64 (.f64 -1/5040 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 7)))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 3)))) (.f64 (sin.f64 delta) (*.f64 theta (cos.f64 phi1))))))
(fma.f64 1/120 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 5))) (fma.f64 -1/5040 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 7))) (fma.f64 -1/6 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 3))) (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta)))))
(fma.f64 1/120 (.f64 (cos.f64 phi1) (.f64 (pow.f64 theta 5) (sin.f64 delta))) (fma.f64 -1/5040 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (pow.f64 theta 7))) (fma.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) theta) (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 3)) (.f64 (sin.f64 delta) -1/6)))))
(+.f64 (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (+.f64 theta (.f64 (pow.f64 theta 3) -1/6))) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (+.f64 (.f64 (pow.f64 theta 5) 1/120) (*.f64 (pow.f64 theta 7) -1/5040))))
(sin.f64 phi1)
(+.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 delta 2))) (sin.f64 phi1))
(fma.f64 -1/2 (.f64 (sin.f64 phi1) (.f64 delta delta)) (sin.f64 phi1))
(.f64 (+.f64 (.f64 -1/2 (*.f64 delta delta)) 1) (sin.f64 phi1))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 delta 2))) (+.f64 (sin.f64 phi1) (.f64 1/24 (.f64 (sin.f64 phi1) (pow.f64 delta 4)))))
(+.f64 (fma.f64 -1/2 (.f64 (sin.f64 phi1) (.f64 delta delta)) (sin.f64 phi1)) (.f64 1/24 (.f64 (sin.f64 phi1) (pow.f64 delta 4))))
(fma.f64 -1/2 (.f64 (sin.f64 phi1) (.f64 delta delta)) (fma.f64 1/24 (*.f64 (sin.f64 phi1) (pow.f64 delta 4)) (sin.f64 phi1)))
(+.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (+.f64 (.f64 -1/2 (.f64 delta delta)) (.f64 1/24 (pow.f64 delta 4)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 phi1) (pow.f64 delta 2))) (+.f64 (.f64 -1/720 (.f64 (sin.f64 phi1) (pow.f64 delta 6))) (+.f64 (sin.f64 phi1) (.f64 1/24 (.f64 (sin.f64 phi1) (pow.f64 delta 4))))))
(fma.f64 -1/2 (.f64 (sin.f64 phi1) (.f64 delta delta)) (fma.f64 -1/720 (.f64 (sin.f64 phi1) (pow.f64 delta 6)) (+.f64 (sin.f64 phi1) (.f64 1/24 (*.f64 (sin.f64 phi1) (pow.f64 delta 4))))))
(fma.f64 -1/2 (.f64 (sin.f64 phi1) (.f64 delta delta)) (fma.f64 -1/720 (.f64 (sin.f64 phi1) (pow.f64 delta 6)) (fma.f64 1/24 (.f64 (sin.f64 phi1) (pow.f64 delta 4)) (sin.f64 phi1))))
(+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 delta 4)) 1) (sin.f64 phi1)) (.f64 (sin.f64 phi1) (+.f64 (.f64 -1/2 (.f64 delta delta)) (.f64 -1/720 (pow.f64 delta 6)))))
(*.f64 (cos.f64 delta) phi1)
(+.f64 (.f64 (cos.f64 delta) phi1) (.f64 -1/6 (*.f64 (cos.f64 delta) (pow.f64 phi1 3))))
(fma.f64 (cos.f64 delta) phi1 (.f64 -1/6 (.f64 (cos.f64 delta) (pow.f64 phi1 3))))
(fma.f64 (cos.f64 delta) phi1 (.f64 (cos.f64 delta) (.f64 (pow.f64 phi1 3) -1/6)))
(.f64 (cos.f64 delta) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3))))
(+.f64 (.f64 1/120 (.f64 (cos.f64 delta) (pow.f64 phi1 5))) (+.f64 (.f64 (cos.f64 delta) phi1) (.f64 -1/6 (*.f64 (cos.f64 delta) (pow.f64 phi1 3)))))
(fma.f64 1/120 (.f64 (cos.f64 delta) (pow.f64 phi1 5)) (fma.f64 (cos.f64 delta) phi1 (.f64 -1/6 (*.f64 (cos.f64 delta) (pow.f64 phi1 3)))))
(fma.f64 1/120 (.f64 (cos.f64 delta) (pow.f64 phi1 5)) (fma.f64 (cos.f64 delta) phi1 (.f64 (cos.f64 delta) (*.f64 (pow.f64 phi1 3) -1/6))))
(fma.f64 1/120 (.f64 (cos.f64 delta) (pow.f64 phi1 5)) (.f64 (cos.f64 delta) (+.f64 phi1 (*.f64 -1/6 (pow.f64 phi1 3)))))
(+.f64 (.f64 -1/5040 (.f64 (cos.f64 delta) (pow.f64 phi1 7))) (+.f64 (.f64 1/120 (.f64 (cos.f64 delta) (pow.f64 phi1 5))) (+.f64 (.f64 (cos.f64 delta) phi1) (.f64 -1/6 (*.f64 (cos.f64 delta) (pow.f64 phi1 3))))))
(fma.f64 -1/5040 (.f64 (cos.f64 delta) (pow.f64 phi1 7)) (fma.f64 1/120 (.f64 (cos.f64 delta) (pow.f64 phi1 5)) (fma.f64 (cos.f64 delta) phi1 (.f64 -1/6 (.f64 (cos.f64 delta) (pow.f64 phi1 3))))))
(fma.f64 -1/5040 (.f64 (cos.f64 delta) (pow.f64 phi1 7)) (fma.f64 1/120 (.f64 (cos.f64 delta) (pow.f64 phi1 5)) (fma.f64 (cos.f64 delta) phi1 (.f64 (cos.f64 delta) (.f64 (pow.f64 phi1 3) -1/6)))))
(+.f64 (.f64 (cos.f64 delta) (+.f64 phi1 (.f64 -1/6 (pow.f64 phi1 3)))) (.f64 (cos.f64 delta) (+.f64 (.f64 1/120 (pow.f64 phi1 5)) (*.f64 -1/5040 (pow.f64 phi1 7)))))

eval54.0ms (0.3%)

Compiler: Compiled 6967 to 1546 computations (77.8% saved)

prune86.0ms (0.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	145	8	153
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	146	9	155

Error

0.0b

Counts

155 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	3.3b	(+.f64 lambda1 (atan2.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 delta) 3) (pow.f64 (.f64 (cos.f64 phi1) (sin.f64 theta)) 3))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
	9.8b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (+.f64 (.f64 (cos.f64 phi1) (cos.f64 phi1)) (.f64 delta (-.f64 (.f64 (fma.f64 1/2 (pow.f64 (sin.f64 phi1) 2) -1/2) delta) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi1)) (cos.f64 theta)))))))
▶	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (fma.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
✓	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
	3.3b	(+.f64 lambda1 (atan2.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 3)) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
	6.2b	(+.f64 lambda1 (atan2.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 theta)) (cos.f64 phi1)) (sin.f64 delta))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
	0.2b	(+.f64 lambda1 (atan2.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))) 3) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
	5.9b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (pow.f64 (cos.f64 delta) 2)) (-.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (cos.f64 delta)))))
	5.9b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) 3) (pow.f64 (cos.f64 delta) 3)) (+.f64 (.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (-.f64 (pow.f64 (cos.f64 delta) 2) (.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (cos.f64 delta)))))))

Compiler

Compiled 963 to 448 computations (53.5% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))
✓	0.5b	(fma.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))
✓	2.6b	(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))
✓	60.8b	(fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))

series35.0ms (0.2%)

Counts

4 → 108

Calls

36 calls:

Time	Variable		Point	Expression
8.0ms	delta	@	0	(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))
2.0ms	delta	@	inf	(fma.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))
1.0ms	delta	@	-inf	(fma.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))
1.0ms	theta	@	0	(fma.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))
1.0ms	phi1	@	inf	(fma.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

266×	`add-sqr-sqrt_binary64`
260×	`*-un-lft-identity_binary64`
260×	`pow1_binary64`
244×	`add-exp-log_binary64`
244×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	253
1	506	253

Stop Event

1×	node limit

Counts

4 → 56

Calls

Call 1

Inputs
(fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))
(fma.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))
(sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))

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

simplify88.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

914×	`fma-def_binary64`
705×	`cancel-sign-sub-inv_binary64`
332×	`associate-l_binary64`
309×	`unswap-sqr_binary64`
289×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	3713
1	158	2684
2	389	2642
3	1192	2638
4	3863	2638

Stop Event

1×	node limit

Counts

164 → 77

Calls

Call 1

Inputs
(+.f64 (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(+.f64 (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(+.f64 (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(+.f64 (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(+.f64 (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(+.f64 (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
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(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(cos.f64 delta)
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 phi1 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 phi1 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))) (.f64 1/6 (.f64 (pow.f64 phi1 3) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1/120 (.f64 (pow.f64 phi1 5) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))) (+.f64 (.f64 -1 (.f64 phi1 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))) (.f64 1/6 (.f64 (pow.f64 phi1 3) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))

Outputs
(+.f64 (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
(+.f64 (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
(.f64 0 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))
0
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(cos.f64 delta)
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(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))

eval38.0ms (0.2%)

Compiler: Compiled 7537 to 1044 computations (86.1% saved)

prune51.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	92	8	100

Error

0.0b

Counts

100 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	3.3b	(+.f64 lambda1 (atan2.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 delta) 3) (pow.f64 (.f64 (cos.f64 phi1) (sin.f64 theta)) 3))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
	9.8b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (+.f64 (.f64 (cos.f64 phi1) (cos.f64 phi1)) (.f64 delta (-.f64 (.f64 (fma.f64 1/2 (pow.f64 (sin.f64 phi1) 2) -1/2) delta) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi1)) (cos.f64 theta)))))))
▶	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (expm1.f64 (log1p.f64 (fma.f64 (sin.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))))
✓	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
	3.3b	(+.f64 lambda1 (atan2.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 3)) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
	6.2b	(+.f64 lambda1 (atan2.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 theta)) (cos.f64 phi1)) (sin.f64 delta))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
	0.2b	(+.f64 lambda1 (atan2.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))) 3) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
	5.9b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) 3) (pow.f64 (cos.f64 delta) 3)) (+.f64 (.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (-.f64 (pow.f64 (cos.f64 delta) 2) (.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (cos.f64 delta)))))))

Compiler

Compiled 819 to 402 computations (50.9% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))
✓	0.5b	(fma.f64 (sin.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))
	2.6b	(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))
	60.8b	(fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	theta	@	0	(fma.f64 (sin.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))
0.0ms	phi1	@	0	(fma.f64 (sin.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))
0.0ms	theta	@	-inf	(fma.f64 (sin.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))
0.0ms	delta	@	-inf	(fma.f64 (sin.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))
0.0ms	phi1	@	-inf	(fma.f64 (sin.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))

rewrite35.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

266×	`add-sqr-sqrt_binary64`
260×	`*-un-lft-identity_binary64`
260×	`pow1_binary64`
244×	`add-exp-log_binary64`
244×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	121
1	506	121

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs

(fma.f64 (sin.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))) (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))) (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))))) (neg.f64 (sin.f64 phi1))) (cos.f64 delta))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))) (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))) (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta)))))) 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simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

913×	`fma-def_binary64`
705×	`cancel-sign-sub-inv_binary64`
330×	`associate-l_binary64`
309×	`unswap-sqr_binary64`
287×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	1697
1	150	1568
2	379	1526
3	1185	1522
4	3846	1522

Stop Event

1×	node limit

Counts

50 → 31

Calls

Call 1

Inputs
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 1 (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (.f64 -1/2 (pow.f64 delta 2)) (+.f64 1 (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))))))))
(+.f64 (.f64 -1/2 (pow.f64 delta 2)) (+.f64 1 (+.f64 (.f64 1/24 (pow.f64 delta 4)) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))))
(+.f64 (.f64 -1/2 (pow.f64 delta 2)) (+.f64 1 (+.f64 (.f64 1/24 (pow.f64 delta 4)) (+.f64 (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))) (*.f64 -1/720 (pow.f64 delta 6))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(cos.f64 delta)
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 phi1 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1 (.f64 phi1 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))) (.f64 1/6 (.f64 (pow.f64 phi1 3) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))))))
(+.f64 (cos.f64 delta) (+.f64 (.f64 -1/120 (.f64 (pow.f64 phi1 5) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))) (+.f64 (.f64 -1 (.f64 phi1 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))) (.f64 1/6 (.f64 (pow.f64 phi1 3) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))

Outputs
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(fma.f64 (neg.f64 (sin.f64 phi1)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (.f64 (cos.f64 theta) (cos.f64 phi1)) (sin.f64 delta) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(fma.f64 (sin.f64 phi1) (neg.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(fma.f64 (neg.f64 (sin.f64 phi1)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (.f64 (cos.f64 theta) (cos.f64 phi1)) (sin.f64 delta) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(fma.f64 (sin.f64 phi1) (neg.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(fma.f64 (neg.f64 (sin.f64 phi1)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (.f64 (cos.f64 theta) (cos.f64 phi1)) (sin.f64 delta) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(fma.f64 (sin.f64 phi1) (neg.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(fma.f64 (neg.f64 (sin.f64 phi1)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (.f64 (cos.f64 theta) (cos.f64 phi1)) (sin.f64 delta) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(fma.f64 (sin.f64 phi1) (neg.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(fma.f64 (neg.f64 (sin.f64 phi1)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (.f64 (cos.f64 theta) (cos.f64 phi1)) (sin.f64 delta) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(fma.f64 (sin.f64 phi1) (neg.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(fma.f64 (neg.f64 (sin.f64 phi1)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (.f64 (cos.f64 theta) (cos.f64 phi1)) (sin.f64 delta) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(fma.f64 (sin.f64 phi1) (neg.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(fma.f64 (neg.f64 (sin.f64 phi1)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (.f64 (cos.f64 theta) (cos.f64 phi1)) (sin.f64 delta) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(fma.f64 (sin.f64 phi1) (neg.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(fma.f64 (neg.f64 (sin.f64 phi1)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (.f64 (cos.f64 theta) (cos.f64 phi1)) (sin.f64 delta) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(fma.f64 (sin.f64 phi1) (neg.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
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(fma.f64 (neg.f64 (sin.f64 phi1)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (.f64 (cos.f64 theta) (cos.f64 phi1)) (sin.f64 delta) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(fma.f64 (sin.f64 phi1) (neg.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(fma.f64 (neg.f64 (sin.f64 phi1)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (.f64 (cos.f64 theta) (cos.f64 phi1)) (sin.f64 delta) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(fma.f64 (sin.f64 phi1) (neg.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(fma.f64 (neg.f64 (sin.f64 phi1)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (.f64 (cos.f64 theta) (cos.f64 phi1)) (sin.f64 delta) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(fma.f64 (sin.f64 phi1) (neg.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(fma.f64 (neg.f64 (sin.f64 phi1)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (.f64 (cos.f64 theta) (cos.f64 phi1)) (sin.f64 delta) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(fma.f64 (sin.f64 phi1) (neg.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(+.f64 (cos.f64 delta) (.f64 -1 (.f64 (sin.f64 phi1) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 -1 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(+.f64 (cos.f64 delta) (neg.f64 (.f64 (sin.f64 phi1) (sin.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))))))))
(fma.f64 (neg.f64 (sin.f64 phi1)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1)))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (.f64 (cos.f64 theta) (cos.f64 phi1)) (sin.f64 delta) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))
(fma.f64 (sin.f64 phi1) (neg.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))))) (cos.f64 delta))
(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))))

eval43.0ms (0.3%)

Compiler: Compiled 7719 to 1229 computations (84.1% saved)

prune52.0ms (0.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	91	8	99

Error

0.0b

Counts

99 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	3.3b	(+.f64 lambda1 (atan2.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 delta) 3) (pow.f64 (.f64 (cos.f64 phi1) (sin.f64 theta)) 3))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
	9.8b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (+.f64 (.f64 (cos.f64 phi1) (cos.f64 phi1)) (.f64 delta (-.f64 (.f64 (fma.f64 1/2 (pow.f64 (sin.f64 phi1) 2) -1/2) delta) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi1)) (cos.f64 theta)))))))
✓	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (expm1.f64 (log1p.f64 (fma.f64 (sin.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))))
✓	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
	3.3b	(+.f64 lambda1 (atan2.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 3)) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
	6.2b	(+.f64 lambda1 (atan2.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 theta)) (cos.f64 phi1)) (sin.f64 delta))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
▶	0.2b	(+.f64 lambda1 (atan2.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))) 3) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
	5.9b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) 3) (pow.f64 (cos.f64 delta) 3)) (+.f64 (.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (-.f64 (pow.f64 (cos.f64 delta) 2) (.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (cos.f64 delta)))))))

Compiler

Compiled 729 to 370 computations (49.2% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))
	0.5b	(fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))
✓	0.6b	(pow.f64 (cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))) 3)
✓	7.6b	(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))

series46.0ms (0.3%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	delta	@	-inf	(pow.f64 (cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))) 3)
10.0ms	delta	@	inf	(pow.f64 (cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))) 3)
3.0ms	phi1	@	0	(pow.f64 (cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))) 3)
2.0ms	phi1	@	-inf	(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
2.0ms	theta	@	0	(pow.f64 (cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))) 3)

rewrite46.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`log-prod_binary64`
196×	`pow1/3_binary64`
195×	`expm1-udef_binary64`
195×	`log1p-udef_binary64`
176×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	245	28
2	2663	28

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

Inputs
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (sin.f64 theta))) (cbrt.f64 (sin.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 delta)) (cbrt.f64 (*.f64 (cos.f64 phi1) (sin.f64 theta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))) 1/6) (pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1))) (cbrt.f64 (sin.f64 theta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 theta)) (cos.f64 phi1)) (sin.f64 delta))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 theta)) (cos.f64 phi1)) (sin.f64 delta))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 theta)) (cos.f64 phi1)) (sin.f64 delta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 theta)) (cos.f64 phi1)) (sin.f64 delta)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 theta)) (cos.f64 phi1)) (sin.f64 delta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 phi1) (sin.f64 theta)) (sin.f64 delta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))) 2) (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (sin.f64 theta))) 2) (*.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 delta)) (*.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (sin.f64 theta))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 delta)) 2) (*.f64 (cbrt.f64 (sin.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 theta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 phi1) (sin.f64 theta))) (*.f64 (sqrt.f64 (*.f64 (cos.f64 phi1) (sin.f64 theta))) (sin.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 delta)) (*.f64 (sqrt.f64 (sin.f64 delta)) (*.f64 (cos.f64 phi1) (sin.f64 theta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))) 1/6) (*.f64 (pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))) 1/6) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (sin.f64 theta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) (cos.f64 phi1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 delta) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (sin.f64 theta))) 2)) (cbrt.f64 (*.f64 (cos.f64 phi1) (sin.f64 theta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 delta) (sqrt.f64 (*.f64 (cos.f64 phi1) (sin.f64 theta)))) (sqrt.f64 (*.f64 (cos.f64 phi1) (sin.f64 theta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 theta)) (pow.f64 (cbrt.f64 (sin.f64 delta)) 2)) (cbrt.f64 (sin.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 theta)) (sqrt.f64 (sin.f64 delta))) (sqrt.f64 (sin.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))) 2) 1) (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))) 2) (cbrt.f64 (sin.f64 delta))) (cbrt.f64 (*.f64 (cos.f64 phi1) (sin.f64 theta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))) 2) (pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))) 1/6)) (pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) 1) (sin.f64 theta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (pow.f64 (cbrt.f64 (sin.f64 theta)) 2)) (cbrt.f64 (sin.f64 theta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (sqrt.f64 (sin.f64 theta))) (sqrt.f64 (sin.f64 theta)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 theta)) (cos.f64 phi1)) (sin.f64 delta)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 delta) 3) (pow.f64 (*.f64 (cos.f64 phi1) (sin.f64 theta)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 phi1) (sin.f64 theta)) 3) (pow.f64 (sin.f64 delta) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 theta) (sin.f64 delta)))) 1))))))

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

709×	`fma-def_binary64`
330×	`*-commutative_binary64`
248×	`associate-+l+_binary64`
247×	`distribute-rgt-in_binary64`
241×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	1491
1	326	1378
2	1213	1276
3	4483	1270

Stop Event

1×	node limit

Counts

124 → 88

Calls

Call 1

Inputs
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) 1/3)
(+.f64 (pow.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 1/3) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (*.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (pow.f64 phi1 2))))
(+.f64 (pow.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 1/3) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (pow.f64 phi1 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))) 1/3) (.f64 (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (*.f64 (sin.f64 delta) (sin.f64 theta)))) (pow.f64 phi1 4))))))
(+.f64 (pow.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 1/3) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (pow.f64 phi1 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/720 (.f64 (sin.f64 delta) (sin.f64 theta))) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta))))) (.f64 -1/216 (.f64 (sin.f64 delta) (sin.f64 theta))))) (pow.f64 phi1 6)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))) 1/3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))) 1/3) (.f64 (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta)))) (pow.f64 phi1 4)))))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta)))
(+.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta)))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta)))))) (.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 delta) (sin.f64 theta))))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (+.f64 (.f64 1/36 (pow.f64 (.f64 1 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta)))))) (.f64 1/18 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta)))))) (pow.f64 phi1 4)) (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta)))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta)))))) (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta)))))
(+.f64 (.f64 (pow.f64 phi1 6) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (+.f64 (.f64 1/36 (pow.f64 (.f64 1 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta))))))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/720 (.f64 (sin.f64 delta) (sin.f64 theta))) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta))))) (.f64 -1/216 (.f64 (sin.f64 delta) (sin.f64 theta))))) (pow.f64 1 1/3))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta)))))) (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (-.f64 (.f64 -1/720 (.f64 (sin.f64 delta) (sin.f64 theta))) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta))))) (.f64 -1/216 (.f64 (sin.f64 delta) (sin.f64 theta))))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta)))))))))))) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (+.f64 (.f64 1/36 (pow.f64 (.f64 1 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta)))))) (.f64 1/18 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta)))))) (pow.f64 phi1 4)) (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta)))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta)))))) (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta))))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))

Outputs
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)))
(+.f64 (pow.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 1/3) (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (*.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (pow.f64 phi1 2))))
(+.f64 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 -1/6 (.f64 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) (*.f64 phi1 phi1))))
(fma.f64 (.f64 -1/6 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta)))) (.f64 phi1 phi1) (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))))
(.f64 (+.f64 (.f64 -1/6 (.f64 phi1 phi1)) 1) (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))))
(+.f64 (pow.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 1/3) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (pow.f64 phi1 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))) 1/3) (.f64 (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (*.f64 (sin.f64 delta) (sin.f64 theta)))) (pow.f64 phi1 4))))))
(+.f64 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) (fma.f64 -1/6 (.f64 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 phi1 phi1)) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 delta) 2)) (pow.f64 (sin.f64 theta) 2)))) (.f64 (.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) -1/24) (pow.f64 phi1 4)))))
(+.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2)))) (.f64 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 -1/24 (pow.f64 phi1 4))) 1/3)) (fma.f64 (.f64 -1/6 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta)))) (.f64 phi1 phi1) (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2)))) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 (pow.f64 phi1 4) -1/24))) (.f64 (+.f64 (.f64 -1/6 (.f64 phi1 phi1)) 1) (cbrt.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)))))
(+.f64 (pow.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 1/3) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (pow.f64 phi1 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 -1/720 (.f64 (sin.f64 delta) (sin.f64 theta))) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta))))) (.f64 -1/216 (.f64 (sin.f64 delta) (sin.f64 theta))))) (pow.f64 phi1 6)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))) 1/3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))) 1/3) (.f64 (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta)))) (pow.f64 phi1 4)))))))
(+.f64 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) (fma.f64 -1/6 (.f64 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 phi1 phi1)) (.f64 1/3 (+.f64 (.f64 (-.f64 (.f64 (.f64 -1/720 (sin.f64 delta)) (sin.f64 theta)) (fma.f64 -1/3 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/24) (.f64 (.f64 -1/216 (sin.f64 delta)) (sin.f64 theta)))) (.f64 (pow.f64 phi1 6) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 delta) 2)) (pow.f64 (sin.f64 theta) 2))))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 delta) 2)) (pow.f64 (sin.f64 theta) 2))) (.f64 (.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)) -1/24) (pow.f64 phi1 4)))))))
(+.f64 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2)))) (+.f64 (.f64 (-.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) -1/720)) (fma.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/216 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 1/72))) (pow.f64 phi1 6)) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 -1/24 (pow.f64 phi1 4))))) (.f64 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 (.f64 phi1 phi1) -1/6))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2)))) (fma.f64 (-.f64 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 7/2160) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 1/72)) (pow.f64 phi1 6) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 (pow.f64 phi1 4) -1/24)))) (.f64 (+.f64 (.f64 -1/6 (.f64 phi1 phi1)) 1) (cbrt.f64 (*.f64 (sin.f64 delta) (sin.f64 theta)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2)))) (fma.f64 (fma.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 7/2160 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/72)) (pow.f64 phi1 6) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 (pow.f64 phi1 4) -1/24)))) (.f64 (+.f64 (.f64 -1/6 (.f64 phi1 phi1)) 1) (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta)))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 1/3)
(cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))))
(cbrt.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta)))
(*.f64 (sin.f64 delta) (sin.f64 theta))
(+.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta)))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta)))))) (.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 delta) (sin.f64 theta))))
(fma.f64 (.f64 phi1 phi1) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/2) (.f64 (sin.f64 delta) (sin.f64 theta)))
(fma.f64 (sin.f64 delta) (sin.f64 theta) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 -1/2 (.f64 phi1 phi1))))
(.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 1 (.f64 (.f64 phi1 phi1) -1/2)))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (+.f64 (.f64 1/36 (pow.f64 (.f64 1 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta)))))) (.f64 1/18 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta)))))) (pow.f64 phi1 4)) (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta)))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta)))))) (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta)))))
(fma.f64 (fma.f64 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) (fma.f64 1/36 (cbrt.f64 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))) (.f64 (.f64 2/3 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 delta)) (sin.f64 theta)))) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/24))) (+.f64 (.f64 1/3 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/24)) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 1/18))) (pow.f64 phi1 4) (fma.f64 (.f64 phi1 phi1) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/2) (*.f64 (sin.f64 delta) (sin.f64 theta))))
(fma.f64 (pow.f64 phi1 4) (fma.f64 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) (fma.f64 1/36 (cbrt.f64 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 delta)) (sin.f64 theta))) (.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) -1/24)) 2/3))) (fma.f64 1/3 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) -1/24)) (.f64 (.f64 1/18 (sin.f64 delta)) (sin.f64 theta)))) (fma.f64 (sin.f64 delta) (sin.f64 theta) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 -1/2 (.f64 phi1 phi1)))))
(fma.f64 (pow.f64 phi1 4) (fma.f64 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) (fma.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) -1/24)) (.f64 2/3 (cbrt.f64 (/.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))))) (.f64 1/36 (cbrt.f64 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))))) (fma.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 1/18) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/72))) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 1 (.f64 (.f64 phi1 phi1) -1/2))))
(+.f64 (.f64 (pow.f64 phi1 6) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (+.f64 (.f64 1/36 (pow.f64 (.f64 1 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta))))))))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/720 (.f64 (sin.f64 delta) (sin.f64 theta))) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta))))) (.f64 -1/216 (.f64 (sin.f64 delta) (sin.f64 theta))))) (pow.f64 1 1/3))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta)))))) (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (-.f64 (.f64 -1/720 (.f64 (sin.f64 delta) (sin.f64 theta))) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta))))) (.f64 -1/216 (.f64 (sin.f64 delta) (sin.f64 theta))))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta)))))))))))) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (+.f64 (.f64 1/36 (pow.f64 (.f64 1 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))) 1/3) (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 (.f64 (sin.f64 delta) (sin.f64 theta))) (.f64 1/12 (.f64 (sin.f64 delta) (sin.f64 theta)))))) (.f64 1/18 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta)))))) (pow.f64 phi1 4)) (+.f64 (.f64 (pow.f64 phi1 2) (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta)))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta)))))) (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (sin.f64 theta))))))
(fma.f64 (pow.f64 phi1 6) (fma.f64 -1/6 (.f64 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) (fma.f64 1/36 (cbrt.f64 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))) (.f64 (.f64 2/3 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 delta)) (sin.f64 theta)))) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/24)))) (fma.f64 1/3 (.f64 1 (-.f64 (.f64 (.f64 -1/720 (sin.f64 delta)) (sin.f64 theta)) (fma.f64 -1/3 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/24) (.f64 (.f64 -1/216 (sin.f64 delta)) (sin.f64 theta))))) (+.f64 (.f64 -1/9 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/24)) (.f64 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) (fma.f64 2/3 (.f64 (-.f64 (.f64 (.f64 -1/720 (sin.f64 delta)) (sin.f64 theta)) (fma.f64 -1/3 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/24) (.f64 (.f64 -1/216 (sin.f64 delta)) (sin.f64 theta)))) (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 delta)) (sin.f64 theta)))) (.f64 (.f64 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/24) (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 delta)) (sin.f64 theta)))) -1/9)))))) (fma.f64 (fma.f64 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) (fma.f64 1/36 (cbrt.f64 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))) (.f64 (.f64 2/3 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 delta)) (sin.f64 theta)))) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/24))) (+.f64 (.f64 1/3 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/24)) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 1/18))) (pow.f64 phi1 4) (fma.f64 (.f64 phi1 phi1) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/2) (*.f64 (sin.f64 delta) (sin.f64 theta)))))
(fma.f64 (pow.f64 phi1 6) (fma.f64 -1/6 (.f64 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) (fma.f64 1/36 (cbrt.f64 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 delta)) (sin.f64 theta))) (.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) -1/24)) 2/3)))) (fma.f64 1/3 (-.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) -1/720)) (fma.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/216 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 1/72))) (fma.f64 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) (fma.f64 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 -1/24 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 delta)) (sin.f64 theta))))) -1/9 (.f64 (-.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) -1/720)) (fma.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/216 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 1/72))) (.f64 2/3 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 delta)) (sin.f64 theta)))))) (.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) -1/24)) -1/9)))) (fma.f64 (pow.f64 phi1 4) (fma.f64 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) (fma.f64 1/36 (cbrt.f64 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 delta)) (sin.f64 theta))) (.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) -1/24)) 2/3))) (fma.f64 1/3 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) -1/24)) (.f64 (.f64 1/18 (sin.f64 delta)) (sin.f64 theta)))) (fma.f64 (sin.f64 delta) (sin.f64 theta) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (.f64 -1/2 (.f64 phi1 phi1))))))
(fma.f64 (pow.f64 phi1 4) (fma.f64 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) (fma.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) -1/24)) (.f64 2/3 (cbrt.f64 (/.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))))) (.f64 1/36 (cbrt.f64 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))))) (fma.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 1/18) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/72))) (fma.f64 (pow.f64 phi1 6) (+.f64 (fma.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) -1/24)) -1/9 (.f64 1/3 (-.f64 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 7/2160) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 1/72)))) (.f64 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) (+.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta)))) (+.f64 (.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) -1/24)) -1/9) (.f64 (-.f64 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 7/2160) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 1/72)) 2/3))) (.f64 -1/6 (fma.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) -1/24)) (.f64 2/3 (cbrt.f64 (/.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))))) (.f64 1/36 (cbrt.f64 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))))))))) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 1 (.f64 (.f64 phi1 phi1) -1/2)))))
(fma.f64 (pow.f64 phi1 4) (fma.f64 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) (fma.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) -1/24)) (.f64 2/3 (cbrt.f64 (/.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))))) (.f64 1/36 (cbrt.f64 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))))) (fma.f64 (sin.f64 delta) (.f64 (sin.f64 theta) 1/18) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/72))) (fma.f64 (pow.f64 phi1 6) (+.f64 (fma.f64 1/3 (fma.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 7/2160 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/72)) (.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) -1/24)) -1/9)) (.f64 (cbrt.f64 (.f64 (sin.f64 delta) (sin.f64 theta))) (+.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta)))) (+.f64 (.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) -1/24)) -1/9) (.f64 (fma.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) 7/2160 (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) -1/72)) 2/3))) (.f64 -1/6 (fma.f64 (.f64 (sin.f64 delta) (.f64 (sin.f64 theta) -1/24)) (.f64 2/3 (cbrt.f64 (/.f64 1 (.f64 (sin.f64 delta) (sin.f64 theta))))) (.f64 1/36 (cbrt.f64 (.f64 (pow.f64 (sin.f64 delta) 2) (pow.f64 (sin.f64 theta) 2))))))))) (.f64 (.f64 (sin.f64 delta) (sin.f64 theta)) (+.f64 1 (.f64 (.f64 phi1 phi1) -1/2)))))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))
(.f64 (.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) 1)
(.f64 (cos.f64 phi1) (.f64 (sin.f64 delta) (sin.f64 theta)))

eval69.0ms (0.4%)

Compiler: Compiled 8103 to 2057 computations (74.6% saved)

prune100.0ms (0.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	172	4	176
Fresh	3	2	5
Picked	0	1	1
Done	0	2	2
Total	175	9	184

Error

0.0b

Counts

184 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	6.2b	(+.f64 lambda1 (atan2.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 theta)) (cos.f64 phi1)) (sin.f64 delta))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
	9.8b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (+.f64 (.f64 (cos.f64 phi1) (cos.f64 phi1)) (.f64 delta (-.f64 (.f64 (fma.f64 1/2 (pow.f64 (sin.f64 phi1) 2) -1/2) delta) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi1)) (cos.f64 theta)))))))
✓	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (expm1.f64 (log1p.f64 (fma.f64 (sin.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))))
	3.3b	(+.f64 lambda1 (atan2.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 phi1) (sin.f64 theta)) 3) (pow.f64 (sin.f64 delta) 3))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
✓	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
	3.3b	(+.f64 lambda1 (atan2.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (sin.f64 delta))) 3)) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
	0.2b	(+.f64 lambda1 (atan2.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 delta)) 2) (.f64 (cbrt.f64 (sin.f64 delta)) (.f64 (cos.f64 phi1) (sin.f64 theta)))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
✓	0.2b	(+.f64 lambda1 (atan2.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))) 3) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
	5.9b	(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) 3) (pow.f64 (cos.f64 delta) 3)) (+.f64 (.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (-.f64 (pow.f64 (cos.f64 delta) 2) (.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (cos.f64 delta)))))))

Compiler

Compiled 472 to 238 computations (49.6% saved)

regimes73.0ms (0.4%)

Accuracy

Total -15.2b remaining (-19435.7%)

Threshold costs -15.2b (-19435.7%)

Counts

15 → 1

Calls

Call 1

Inputs
(+.f64 lambda1 (atan2.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 theta)) (cos.f64 phi1)) (sin.f64 delta))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
(+.f64 lambda1 (atan2.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 phi1) (sin.f64 theta)) 3) (pow.f64 (sin.f64 delta) 3))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
(+.f64 lambda1 (atan2.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 phi1) (.f64 (sin.f64 theta) (sin.f64 delta))) 3)) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 delta)) 2) (.f64 (cbrt.f64 (sin.f64 delta)) (.f64 (cos.f64 phi1) (sin.f64 theta)))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (expm1.f64 (log1p.f64 (fma.f64 (sin.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))))
(+.f64 lambda1 (atan2.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 delta) 3) (pow.f64 (.f64 (cos.f64 phi1) (sin.f64 theta)) 3))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (+.f64 (.f64 (cos.f64 phi1) (cos.f64 phi1)) (.f64 delta (-.f64 (.f64 (fma.f64 1/2 (pow.f64 (sin.f64 phi1) 2) -1/2) delta) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi1)) (cos.f64 theta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (fma.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))))) (sqrt.f64 (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (acos.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
(+.f64 lambda1 (atan2.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) 3)) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
(+.f64 lambda1 (atan2.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 theta)) (cos.f64 phi1)) (sin.f64 delta))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
(+.f64 lambda1 (atan2.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta)))) 3) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (pow.f64 (cos.f64 delta) 2)) (-.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (cos.f64 delta)))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) 3) (pow.f64 (cos.f64 delta) 3)) (+.f64 (.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (-.f64 (pow.f64 (cos.f64 delta) 2) (.f64 (.f64 (sin.f64 phi1) (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1)))) (cos.f64 delta)))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (.f64 (sin.f64 delta) (cos.f64 phi1)) (.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))
(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))

Outputs

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))

Results

Time	Error	Segments	Branch
8.0ms	0.1b	1	`lambda1`
8.0ms	0.1b	1	`phi1`
8.0ms	0.1b	1	`phi2`
8.0ms	0.1b	1	`delta`
8.0ms	0.1b	1	`theta`
8.0ms	0.1b	1	`(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))))))`
7.0ms	0.1b	1	`(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (.f64 (sin.f64 phi1) (cos.f64 delta)) (.f64 (.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))`

Compiler

Compiled 827 to 207 computations (75% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	53
1	31	53
2	33	53
3	34	53

Stop Event

1×

saturated

Calls

Call 1

Inputs

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))

Outputs

(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))) (fma.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 theta) (*.f64 (sin.f64 delta) (cos.f64 phi1)) (*.f64 (cos.f64 delta) (sin.f64 phi1))))) (neg.f64 (sin.f64 phi1)) (cos.f64 delta))))

end27.0ms (0.2%)

Stop Event

1×

fuel

Compiler

Compiled 74 to 44 computations (40.5% saved)

Details

analyze5.0s (30.4%)

sample9.9s (60.8%)

preprocess58.0ms (0.4%)

simplify40.0ms (0.2%)

eval1.0ms (0%)

prune4.0ms (0%)

localize30.0ms (0.2%)

series36.0ms (0.2%)

rewrite83.0ms (0.5%)

simplify65.0ms (0.4%)

eval54.0ms (0.3%)

prune86.0ms (0.5%)

localize36.0ms (0.2%)

series35.0ms (0.2%)

rewrite57.0ms (0.3%)

simplify88.0ms (0.5%)

eval38.0ms (0.2%)

prune51.0ms (0.3%)

localize36.0ms (0.2%)

series5.0ms (0%)

rewrite35.0ms (0.2%)

simplify58.0ms (0.4%)

eval43.0ms (0.3%)

prune52.0ms (0.3%)

localize28.0ms (0.2%)

series46.0ms (0.3%)

rewrite46.0ms (0.3%)

simplify53.0ms (0.3%)

eval69.0ms (0.4%)

prune100.0ms (0.6%)

regimes73.0ms (0.4%)

simplify3.0ms (0%)

end27.0ms (0.2%)

Profiling