Details

analyze2.9s (15.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
9.4%	90.4%	0.2%	9
9.4%	90.4%	0.2%	10
10.9%	88.9%	0.2%	11
10.9%	88.9%	0.2%	12
10.9%	88.9%	0.2%	13
10.9%	88.9%	0.2%	14

Compiler

Compiled 25 to 15 computations (40% saved)

sample7.8s (42.9%)

Results

5.7s	4650×	body	1024	valid
1.2s	1769×	body	512	valid
322.0ms	720×	body	256	valid
290.0ms	114×	body	2048	valid
259.0ms	1003×	body	128	valid

Compiler

Compiled 50 to 30 computations (40% saved)

preprocess86.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

732×	`fma-def_binary64`
699×	`fma-neg_binary64`
225×	`unsub-neg_binary64`
186×	`cancel-sign-sub-inv_binary64`
169×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	224
1	100	210
2	130	210
3	164	210
4	214	210
5	377	210
6	540	210
7	952	210
8	1385	210
9	1779	210
10	2307	210
11	2972	210
12	3608	210
13	3856	210
14	3960	210
15	4031	210
16	4058	210
0	4	4

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

Inputs
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(+.f64 lambda2 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
(+.f64 phi1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 phi1 lambda2))) (+.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 phi1 lambda2))))))
(+.f64 phi2 (atan2.f64 (.f64 (cos.f64 lambda1) (sin.f64 (-.f64 phi2 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 (-.f64 phi2 lambda2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 phi1))) (+.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 phi1))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 lambda2) (sin.f64 (-.f64 lambda1 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 lambda1 phi2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))

Outputs
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
(+.f64 lambda2 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))))))
(+.f64 lambda2 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi1))))
(+.f64 lambda2 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda2 lambda1))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
(+.f64 phi1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 phi1 lambda2))) (+.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 phi1 lambda2))))))
(+.f64 phi1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 phi1 lambda2))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 phi1 lambda2)) (cos.f64 lambda1))))
(+.f64 phi2 (atan2.f64 (.f64 (cos.f64 lambda1) (sin.f64 (-.f64 phi2 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 (-.f64 phi2 lambda2))))))
(+.f64 phi2 (atan2.f64 (*.f64 (cos.f64 lambda1) (sin.f64 (-.f64 phi2 lambda2))) (fma.f64 (cos.f64 lambda1) (cos.f64 (-.f64 phi2 lambda2)) (cos.f64 phi1))))
(+.f64 phi2 (atan2.f64 (*.f64 (cos.f64 lambda1) (sin.f64 (-.f64 phi2 lambda2))) (fma.f64 (cos.f64 lambda1) (cos.f64 (-.f64 lambda2 phi2)) (cos.f64 phi1))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 phi1))) (+.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 phi1))))))
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 phi1))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 phi1)) (cos.f64 lambda2))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 lambda2) (sin.f64 (-.f64 lambda1 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 (-.f64 lambda1 phi2))))))
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 lambda2) (sin.f64 (-.f64 lambda1 phi2))) (fma.f64 (cos.f64 lambda2) (cos.f64 (-.f64 lambda1 phi2)) (cos.f64 phi1))))
(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 lambda2) (sin.f64 (-.f64 lambda1 phi2))) (fma.f64 (cos.f64 lambda2) (cos.f64 (-.f64 phi2 lambda1)) (cos.f64 phi1))))
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi1) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(+.f64 lambda1 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (+.f64 (cos.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2))))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))))
(+.f64 lambda1 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (fma.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2))))

Compiler

Compiled 24 to 14 computations (41.7% saved)

simplify27.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

284×	`fma-def_binary64`
141×	`fma-neg_binary64`
44×	`distribute-rgt-in_binary64`
39×	`cancel-sign-sub-inv_binary64`
35×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	21	30
2	28	30
3	35	30
4	45	30
5	71	30
6	115	30
7	168	30
8	240	30
9	327	30
10	454	30
11	600	30
12	646	30
13	748	30
14	852	30
15	874	30
16	907	30
17	951	30
18	994	30
19	1015	30
20	1017	30

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

Outputs

(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))

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

0.9b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.9b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	0.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

Status

Error

Program

▶

0.9b

(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))

0.9b

(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2))))))

Compiler

Compiled 137 to 71 computations (48.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))
✓	0.5b	(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
✓	3.5b	(sin.f64 (-.f64 lambda1 lambda2))
✓	3.6b	(cos.f64 (-.f64 lambda1 lambda2))

series21.0ms (0.1%)

Counts

4 → 64

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	phi1	@	inf	(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
1.0ms	phi2	@	inf	(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
1.0ms	phi2	@	0	(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
1.0ms	lambda1	@	inf	(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
1.0ms	lambda2	@	inf	(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

671×	`prod-diff_binary64`
268×	`log1p-udef_binary64`
149×	`add-sqr-sqrt_binary64`
148×	`*-un-lft-identity_binary64`
148×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	274	53
2	3603	53

Stop Event

1×	node limit

Counts

4 → 117

Calls

Call 1

Inputs
(cos.f64 (-.f64 lambda1 lambda2))
(sin.f64 (-.f64 lambda1 lambda2))
(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 1) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2)) (neg.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 lambda1)))) (fma.f64 (neg.f64 (sin.f64 (neg.f64 lambda2))) (sin.f64 lambda1) (.f64 (sin.f64 (neg.f64 lambda2)) (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2) (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (-.f64 (.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 (-.f64 lambda1 lambda2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (-.f64 lambda1 lambda2)) (fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (-.f64 lambda1 lambda2)) (fma.f64 (neg.f64 (cos.f64 lambda1)) (sin.f64 lambda2) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (-.f64 lambda1 lambda2)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (sqrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (neg.f64 (cos.f64 lambda1)) (sin.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 lambda1) (cos.f64 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(log1p.f64 (sin.f64 (-.f64 lambda1 lambda2))))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (pow.f64 (cbrt.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2) (cbrt.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (sqrt.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))))

simplify34.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

609×	`cancel-sign-sub-inv_binary64`
482×	`fma-def_binary64`
475×	`associate-r_binary64`
458×	`associate-l_binary64`
200×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1354
1	391	1249
2	1343	1165

Stop Event

1×	node limit

Counts

181 → 178

Calls

Call 1

Inputs
(cos.f64 (neg.f64 lambda2))
(-.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))
(-.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(-.f64 (+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (cos.f64 (neg.f64 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(cos.f64 lambda1)
(+.f64 (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) lambda2))
(-.f64 (+.f64 (cos.f64 lambda1) (.f64 (sin.f64 lambda1) lambda2)) (.f64 1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))
(-.f64 (+.f64 (cos.f64 lambda1) (.f64 (sin.f64 lambda1) lambda2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)))))
(sin.f64 (neg.f64 lambda2))
(+.f64 (*.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (sin.f64 (neg.f64 lambda2)))
(-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 1/2 (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))
(-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (sin.f64 (neg.f64 lambda2))) (+.f64 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 1/6 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3)))))
(sin.f64 lambda1)
(-.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 lambda1)))
(-.f64 (sin.f64 lambda1) (+.f64 (.f64 lambda2 (cos.f64 lambda1)) (.f64 1/2 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 2)))))
(-.f64 (+.f64 (sin.f64 lambda1) (.f64 1/6 (.f64 (pow.f64 lambda2 3) (cos.f64 lambda1)))) (+.f64 (.f64 lambda2 (cos.f64 lambda1)) (.f64 1/2 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 2)))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(-.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(-.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))))) (.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(-.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))) (.f64 1/720 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 6)))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1))
(-.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(-.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))))
(-.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (.f64 1/2 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(+.f64 (.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))
(-.f64 (+.f64 (.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (.f64 1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(-.f64 (+.f64 (.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (+.f64 (.f64 1/6 (.f64 (sin.f64 lambda1) (.f64 (pow.f64 lambda2 3) (cos.f64 phi2)))) (.f64 1/2 (.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(-.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 1/2 (pow.f64 phi1 2)))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (*.f64 1/2 (pow.f64 phi1 2)))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (+.f64 (.f64 1/2 (pow.f64 phi1 2)) (.f64 1/720 (pow.f64 phi1 6))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))

Outputs
(cos.f64 (neg.f64 lambda2))
(cos.f64 lambda2)
(-.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))
(-.f64 (cos.f64 lambda2) (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1))
(+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2)))
(fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))
(-.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(-.f64 (cos.f64 lambda2) (fma.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1)))
(-.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (.f64 (cos.f64 lambda2) (.f64 (.f64 lambda1 lambda1) 1/2)))
(+.f64 (cos.f64 lambda2) (fma.f64 lambda1 (sin.f64 lambda2) (.f64 (.f64 lambda1 lambda1) (*.f64 (cos.f64 lambda2) -1/2))))
(-.f64 (+.f64 (.f64 1/6 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (cos.f64 (neg.f64 lambda2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(-.f64 (fma.f64 1/6 (.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (cos.f64 lambda2)) (fma.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (.f64 (neg.f64 (sin.f64 lambda2)) lambda1)))
(+.f64 (+.f64 (fma.f64 1/6 (.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (cos.f64 lambda2)) (.f64 -1/2 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)))) (*.f64 lambda1 (sin.f64 lambda2)))
(+.f64 (cos.f64 lambda2) (fma.f64 (pow.f64 lambda1 3) (.f64 -1/6 (sin.f64 lambda2)) (fma.f64 lambda1 (sin.f64 lambda2) (.f64 (.f64 lambda1 lambda1) (.f64 (cos.f64 lambda2) -1/2)))))
(cos.f64 lambda1)
(+.f64 (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) lambda2))
(+.f64 (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1)))
(fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1))
(-.f64 (+.f64 (cos.f64 lambda1) (.f64 (sin.f64 lambda1) lambda2)) (.f64 1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))
(-.f64 (+.f64 (cos.f64 lambda1) (.f64 lambda2 (sin.f64 lambda1))) (.f64 (.f64 1/2 (.f64 lambda2 lambda2)) (cos.f64 lambda1)))
(+.f64 (cos.f64 lambda1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (.f64 lambda2 (*.f64 lambda2 (cos.f64 lambda1))) -1/2)))
(fma.f64 lambda2 (sin.f64 lambda1) (.f64 (+.f64 (.f64 (*.f64 lambda2 lambda2) -1/2) 1) (cos.f64 lambda1)))
(-.f64 (+.f64 (cos.f64 lambda1) (.f64 (sin.f64 lambda1) lambda2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)))))
(+.f64 (cos.f64 lambda1) (-.f64 (.f64 lambda2 (sin.f64 lambda1)) (fma.f64 1/2 (.f64 (cos.f64 lambda1) (.f64 lambda2 lambda2)) (.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))))
(-.f64 (fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1)) (fma.f64 1/6 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)) (.f64 1/2 (.f64 lambda2 (.f64 lambda2 (cos.f64 lambda1))))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 (sin.f64 lambda1) (-.f64 lambda2 (.f64 1/6 (pow.f64 lambda2 3)))) (.f64 lambda2 (.f64 (*.f64 lambda2 (cos.f64 lambda1)) -1/2))))
(sin.f64 (neg.f64 lambda2))
(neg.f64 (sin.f64 lambda2))
(+.f64 (*.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (sin.f64 (neg.f64 lambda2)))
(fma.f64 (cos.f64 lambda2) lambda1 (neg.f64 (sin.f64 lambda2)))
(-.f64 (*.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2))
(-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (sin.f64 (neg.f64 lambda2))) (.f64 1/2 (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))
(+.f64 (fma.f64 (cos.f64 lambda2) lambda1 (neg.f64 (sin.f64 lambda2))) (.f64 -1/2 (.f64 (neg.f64 (sin.f64 lambda2)) (*.f64 lambda1 lambda1))))
(+.f64 (-.f64 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 lambda1 lambda1)) -1/2))
(fma.f64 (cos.f64 lambda2) lambda1 (.f64 (+.f64 (.f64 -1/2 (*.f64 lambda1 lambda1)) 1) (neg.f64 (sin.f64 lambda2))))
(-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 lambda2)) lambda1) (sin.f64 (neg.f64 lambda2))) (+.f64 (.f64 1/2 (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (.f64 1/6 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3)))))
(-.f64 (fma.f64 (cos.f64 lambda2) lambda1 (neg.f64 (sin.f64 lambda2))) (fma.f64 1/2 (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 lambda1 lambda1)) (.f64 1/6 (.f64 (cos.f64 lambda2) (pow.f64 lambda1 3)))))
(-.f64 (-.f64 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2)) (fma.f64 1/2 (.f64 (neg.f64 (sin.f64 lambda2)) (.f64 lambda1 lambda1)) (.f64 (cos.f64 lambda2) (*.f64 (pow.f64 lambda1 3) 1/6))))
(fma.f64 (cos.f64 lambda2) lambda1 (fma.f64 -1 (sin.f64 lambda2) (.f64 (.f64 lambda1 lambda1) (-.f64 (.f64 1/2 (sin.f64 lambda2)) (.f64 (cos.f64 lambda2) (*.f64 1/6 lambda1))))))
(sin.f64 lambda1)
(-.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 lambda1)))
(-.f64 (sin.f64 lambda1) (+.f64 (.f64 lambda2 (cos.f64 lambda1)) (.f64 1/2 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 2)))))
(-.f64 (sin.f64 lambda1) (fma.f64 lambda2 (cos.f64 lambda1) (.f64 1/2 (.f64 (sin.f64 lambda1) (*.f64 lambda2 lambda2)))))
(-.f64 (sin.f64 lambda1) (fma.f64 lambda2 (cos.f64 lambda1) (.f64 (.f64 lambda2 lambda2) (*.f64 1/2 (sin.f64 lambda1)))))
(-.f64 (sin.f64 lambda1) (.f64 lambda2 (+.f64 (cos.f64 lambda1) (.f64 (sin.f64 lambda1) (*.f64 1/2 lambda2)))))
(-.f64 (+.f64 (sin.f64 lambda1) (.f64 1/6 (.f64 (pow.f64 lambda2 3) (cos.f64 lambda1)))) (+.f64 (.f64 lambda2 (cos.f64 lambda1)) (.f64 1/2 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 2)))))
(+.f64 (sin.f64 lambda1) (-.f64 (.f64 1/6 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 3))) (fma.f64 lambda2 (cos.f64 lambda1) (.f64 1/2 (.f64 (sin.f64 lambda1) (*.f64 lambda2 lambda2))))))
(-.f64 (fma.f64 1/6 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 3)) (sin.f64 lambda1)) (fma.f64 lambda2 (cos.f64 lambda1) (.f64 (.f64 lambda2 lambda2) (.f64 1/2 (sin.f64 lambda1)))))
(-.f64 (fma.f64 1/6 (.f64 (cos.f64 lambda1) (pow.f64 lambda2 3)) (sin.f64 lambda1)) (.f64 lambda2 (+.f64 (cos.f64 lambda1) (.f64 (sin.f64 lambda1) (.f64 1/2 lambda2)))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(-.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(+.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi2 phi2))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 phi2 phi2))))
(+.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 -1/2 (*.f64 phi2 phi2)) 1) (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))))) (.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(+.f64 (+.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4)))) (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi2 phi2))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (fma.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4)) (cos.f64 phi1)) (.f64 (.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))) (.f64 phi2 phi2))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 1/2 (.f64 phi2 phi2))))))
(-.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))) (.f64 1/720 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 6)))))
(-.f64 (+.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4)))) (fma.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi2 phi2)) (.f64 1/720 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 6)))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (fma.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4)) (cos.f64 phi1)) (fma.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi2 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (pow.f64 phi2 6) 1/720)))))
(+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) 1) (cos.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 -1/2 (.f64 phi2 phi2)) (.f64 1/720 (pow.f64 phi2 6))))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1))
(fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (cos.f64 phi1))
(fma.f64 (cos.f64 lambda2) (cos.f64 phi2) (cos.f64 phi1))
(-.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(-.f64 (fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (cos.f64 phi1)) (.f64 (.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2)) (cos.f64 phi1))
(-.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))))
(-.f64 (fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (cos.f64 phi1)) (fma.f64 (cos.f64 phi2) (.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (.f64 1/2 (.f64 (.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (cos.f64 phi2)))))
(+.f64 (cos.f64 phi1) (-.f64 (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (.f64 1/2 (.f64 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (cos.f64 phi2)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (fma.f64 lambda1 (sin.f64 lambda2) (.f64 (.f64 lambda1 lambda1) (.f64 (cos.f64 lambda2) -1/2))))))
(-.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (.f64 1/2 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))))
(-.f64 (fma.f64 1/6 (.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (cos.f64 phi1))) (fma.f64 (cos.f64 phi2) (.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (.f64 1/2 (.f64 (.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (cos.f64 phi2)))))
(+.f64 (+.f64 (fma.f64 (.f64 1/6 (cos.f64 phi2)) (.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))))) (.f64 -1/2 (.f64 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (cos.f64 phi2))))
(+.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (pow.f64 lambda1 3) (.f64 -1/6 (sin.f64 lambda2)) (cos.f64 lambda2)))) (.f64 (cos.f64 phi2) (fma.f64 lambda1 (sin.f64 lambda2) (.f64 (.f64 lambda1 lambda1) (.f64 (cos.f64 lambda2) -1/2)))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) (cos.f64 phi2)))
(fma.f64 (cos.f64 lambda1) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))
(fma.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 phi2))))
(fma.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 phi2) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1))))
(-.f64 (+.f64 (.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (.f64 1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(+.f64 (fma.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 phi2)))) (.f64 -1/2 (.f64 (.f64 (.f64 lambda2 lambda2) (cos.f64 phi2)) (cos.f64 lambda1))))
(fma.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2)) (+.f64 (fma.f64 (cos.f64 lambda1) (cos.f64 phi2) (cos.f64 phi1)) (.f64 (.f64 (cos.f64 lambda1) (.f64 (*.f64 lambda2 lambda2) (cos.f64 phi2))) -1/2)))
(+.f64 (fma.f64 (cos.f64 lambda1) (cos.f64 phi2) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 lambda2 (.f64 (.f64 lambda2 (cos.f64 lambda1)) -1/2)))))
(-.f64 (+.f64 (.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (+.f64 (.f64 1/6 (.f64 (sin.f64 lambda1) (.f64 (pow.f64 lambda2 3) (cos.f64 phi2)))) (.f64 1/2 (.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))
(-.f64 (fma.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 phi2)))) (fma.f64 1/6 (.f64 (sin.f64 lambda1) (.f64 (pow.f64 lambda2 3) (cos.f64 phi2))) (.f64 1/2 (.f64 (.f64 (.f64 lambda2 lambda2) (cos.f64 phi2)) (cos.f64 lambda1)))))
(-.f64 (fma.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 phi2) (cos.f64 phi1))) (fma.f64 1/2 (.f64 (cos.f64 lambda1) (.f64 (.f64 lambda2 lambda2) (cos.f64 phi2))) (.f64 (sin.f64 lambda1) (.f64 (*.f64 (pow.f64 lambda2 3) (cos.f64 phi2)) 1/6))))
(+.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (+.f64 (.f64 (.f64 lambda2 lambda2) -1/2) 1) (cos.f64 lambda1)))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda1) (-.f64 lambda2 (*.f64 1/6 (pow.f64 lambda2 3))))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 1)
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) 1)
(-.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 1/2 (pow.f64 phi1 2)))
(+.f64 1 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 1/2 (*.f64 phi1 phi1))))
(+.f64 1 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (.f64 (.f64 phi1 phi1) -1/2)))
(fma.f64 (*.f64 phi1 phi1) -1/2 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) 1))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (*.f64 1/2 (pow.f64 phi1 2)))
(+.f64 (fma.f64 1/24 (pow.f64 phi1 4) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 1)) (.f64 -1/2 (*.f64 phi1 phi1)))
(+.f64 (fma.f64 1/24 (pow.f64 phi1 4) (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) 1)) (.f64 (.f64 phi1 phi1) -1/2))
(fma.f64 (*.f64 phi1 phi1) -1/2 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (fma.f64 1/24 (pow.f64 phi1 4) 1)))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (+.f64 (.f64 1/2 (pow.f64 phi1 2)) (.f64 1/720 (pow.f64 phi1 6))))
(-.f64 (fma.f64 1/24 (pow.f64 phi1 4) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 1)) (fma.f64 1/2 (.f64 phi1 phi1) (*.f64 1/720 (pow.f64 phi1 6))))
(-.f64 (fma.f64 1/24 (pow.f64 phi1 4) (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) 1)) (fma.f64 1/720 (pow.f64 phi1 6) (.f64 phi1 (.f64 phi1 1/2))))
(+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) 1) (fma.f64 1/24 (pow.f64 phi1 4) (fma.f64 (.f64 phi1 phi1) -1/2 (.f64 (pow.f64 phi1 6) -1/720))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))

prune352.0ms (1.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	161	17	178
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	163	17	180

Error

0.6b

Counts

180 → 17

Alt Table

Status	Error	Program
	1.0b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (cos.f64 lambda2) (sin.f64 lambda1) (neg.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))))))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	0.9b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))))
	1.2b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)))
	27.5b	(+.f64 lambda1 (exp.f64 (log.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
	0.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3) (pow.f64 (cos.f64 phi1) 3)) (+.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (-.f64 (pow.f64 (cos.f64 phi1) 2) (.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))))
	25.1b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (pow.f64 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))
	1.0b	(+.f64 lambda1 (log1p.f64 (expm1.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
▶	0.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	1.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) lambda1 (.f64 (+.f64 (.f64 -1/2 (.f64 lambda1 lambda1)) 1) (neg.f64 (sin.f64 lambda2))))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	27.2b	(+.f64 lambda1 (pow.f64 (sqrt.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2))
	6.6b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1)))
	1.3b	(+.f64 lambda1 (.f64 (cbrt.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (pow.f64 (cbrt.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2)))
	12.3b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (log.f64 (exp.f64 (sin.f64 (-.f64 lambda1 lambda2))))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	3.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (pow.f64 (cos.f64 phi1) 2)) (-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))
	21.9b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 lambda1)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	1.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (-.f64 (.f64 (cos.f64 lambda2) lambda1) (sin.f64 lambda2))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	1.0b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))

Compiler

Compiled 6752 to 1825 computations (73% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
✓	0.6b	(cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))
	3.6b	(cos.f64 (-.f64 lambda1 lambda2))
✓	31.6b	(fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))

series28.0ms (0.2%)

Counts

2 → 44

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	lambda2	@	0	(fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))
5.0ms	lambda1	@	0	(cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))
4.0ms	lambda1	@	0	(fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))
3.0ms	lambda2	@	inf	(cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))
2.0ms	lambda1	@	inf	(cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

539×	`log-prod_binary64`
525×	`prod-diff_binary64`
198×	`expm1-udef_binary64`
198×	`log1p-udef_binary64`
182×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	237	23
2	2892	23

Stop Event

1×	node limit

Counts

2 → 208

Calls

Call 1

Inputs
(fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))
(cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))

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

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))))) (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 lambda2)) (cbrt.f64 (sin.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 lambda1)) (cbrt.f64 (cos.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 1/6) (pow.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) 1/3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))))))))

simplify37.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

657×	`fma-def_binary64`
573×	`cancel-sign-sub-inv_binary64`
340×	`fma-neg_binary64`
275×	`distribute-rgt-neg-in_binary64`
269×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	294
1	81	294
2	259	278
3	1228	265
4	4858	265

Stop Event

1×	node limit

Counts

252 → 219

Calls

Call 1

Inputs
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(pow.f64 (sin.f64 lambda1) 1/3)
(-.f64 (pow.f64 (sin.f64 lambda1) 1/3) (.f64 1/6 (.f64 (pow.f64 (sin.f64 lambda1) 1/3) (pow.f64 lambda2 2))))
(-.f64 (pow.f64 (sin.f64 lambda1) 1/3) (+.f64 (.f64 1/72 (.f64 (pow.f64 (sin.f64 lambda1) 1/3) (pow.f64 lambda2 4))) (.f64 1/6 (.f64 (pow.f64 (sin.f64 lambda1) 1/3) (pow.f64 lambda2 2)))))
(-.f64 (pow.f64 (sin.f64 lambda1) 1/3) (+.f64 (.f64 23/6480 (.f64 (pow.f64 (sin.f64 lambda1) 1/3) (pow.f64 lambda2 6))) (+.f64 (.f64 1/72 (.f64 (pow.f64 (sin.f64 lambda1) 1/3) (pow.f64 lambda2 4))) (.f64 1/6 (.f64 (pow.f64 (sin.f64 lambda1) 1/3) (pow.f64 lambda2 2))))))
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)

Outputs
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(pow.f64 (sin.f64 lambda1) 1/3)
(cbrt.f64 (sin.f64 lambda1))
(-.f64 (pow.f64 (sin.f64 lambda1) 1/3) (.f64 1/6 (.f64 (pow.f64 (sin.f64 lambda1) 1/3) (pow.f64 lambda2 2))))
(+.f64 (cbrt.f64 (sin.f64 lambda1)) (.f64 -1/6 (.f64 (cbrt.f64 (sin.f64 lambda1)) (*.f64 lambda2 lambda2))))
(-.f64 (cbrt.f64 (sin.f64 lambda1)) (.f64 (.f64 lambda2 lambda2) (*.f64 (cbrt.f64 (sin.f64 lambda1)) 1/6)))
(.f64 (+.f64 (.f64 (*.f64 lambda2 lambda2) -1/6) 1) (cbrt.f64 (sin.f64 lambda1)))
(.f64 (cbrt.f64 (sin.f64 lambda1)) (fma.f64 (.f64 lambda2 lambda2) -1/6 1))
(-.f64 (pow.f64 (sin.f64 lambda1) 1/3) (+.f64 (.f64 1/72 (.f64 (pow.f64 (sin.f64 lambda1) 1/3) (pow.f64 lambda2 4))) (.f64 1/6 (.f64 (pow.f64 (sin.f64 lambda1) 1/3) (pow.f64 lambda2 2)))))
(-.f64 (cbrt.f64 (sin.f64 lambda1)) (fma.f64 1/72 (.f64 (cbrt.f64 (sin.f64 lambda1)) (pow.f64 lambda2 4)) (.f64 1/6 (.f64 (cbrt.f64 (sin.f64 lambda1)) (.f64 lambda2 lambda2)))))
(-.f64 (cbrt.f64 (sin.f64 lambda1)) (fma.f64 1/72 (.f64 (cbrt.f64 (sin.f64 lambda1)) (pow.f64 lambda2 4)) (.f64 (.f64 lambda2 lambda2) (.f64 (cbrt.f64 (sin.f64 lambda1)) 1/6))))
(-.f64 (cbrt.f64 (sin.f64 lambda1)) (.f64 (cbrt.f64 (sin.f64 lambda1)) (+.f64 (.f64 1/6 (.f64 lambda2 lambda2)) (.f64 1/72 (pow.f64 lambda2 4)))))
(.f64 (cbrt.f64 (sin.f64 lambda1)) (-.f64 (fma.f64 (.f64 lambda2 lambda2) -1/6 1) (*.f64 1/72 (pow.f64 lambda2 4))))
(-.f64 (pow.f64 (sin.f64 lambda1) 1/3) (+.f64 (.f64 23/6480 (.f64 (pow.f64 (sin.f64 lambda1) 1/3) (pow.f64 lambda2 6))) (+.f64 (.f64 1/72 (.f64 (pow.f64 (sin.f64 lambda1) 1/3) (pow.f64 lambda2 4))) (.f64 1/6 (.f64 (pow.f64 (sin.f64 lambda1) 1/3) (pow.f64 lambda2 2))))))
(-.f64 (cbrt.f64 (sin.f64 lambda1)) (fma.f64 23/6480 (.f64 (cbrt.f64 (sin.f64 lambda1)) (pow.f64 lambda2 6)) (fma.f64 1/72 (.f64 (cbrt.f64 (sin.f64 lambda1)) (pow.f64 lambda2 4)) (.f64 1/6 (.f64 (cbrt.f64 (sin.f64 lambda1)) (*.f64 lambda2 lambda2))))))
(-.f64 (cbrt.f64 (sin.f64 lambda1)) (fma.f64 23/6480 (.f64 (cbrt.f64 (sin.f64 lambda1)) (pow.f64 lambda2 6)) (fma.f64 1/72 (.f64 (cbrt.f64 (sin.f64 lambda1)) (pow.f64 lambda2 4)) (.f64 (.f64 lambda2 lambda2) (*.f64 (cbrt.f64 (sin.f64 lambda1)) 1/6)))))
(-.f64 (.f64 (+.f64 (.f64 (.f64 lambda2 lambda2) -1/6) 1) (cbrt.f64 (sin.f64 lambda1))) (.f64 (cbrt.f64 (sin.f64 lambda1)) (+.f64 (.f64 1/72 (pow.f64 lambda2 4)) (.f64 23/6480 (pow.f64 lambda2 6)))))
(+.f64 (cbrt.f64 (sin.f64 lambda1)) (.f64 (cbrt.f64 (sin.f64 lambda1)) (-.f64 (.f64 lambda2 (.f64 lambda2 -1/6)) (fma.f64 23/6480 (pow.f64 lambda2 6) (.f64 1/72 (pow.f64 lambda2 4))))))
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)))
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)))
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)))
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)))
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)))
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)))
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)))
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)))
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)))
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)))
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)))
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)))
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)))
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)))
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)))
(pow.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)))

prune1.4s (8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	381	6	387
Fresh	4	12	16
Picked	1	0	1
Done	0	0	0
Total	386	18	404

Error

0.1b

Counts

404 → 18

Alt Table

Status	Error	Program
	1.0b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (cos.f64 lambda2) (sin.f64 lambda1) (neg.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))))))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	0.9b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))))
	1.2b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 3)))
	1.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 lambda2)) 2) (.f64 (cbrt.f64 (sin.f64 lambda2)) (cos.f64 lambda1)) (neg.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 lambda1)) (sin.f64 lambda2)) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (cos.f64 lambda1)) (sin.f64 lambda2))) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2) (.f64 (.f64 (cbrt.f64 (cos.f64 lambda1)) (sin.f64 lambda2)) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2)))))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	15.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (exp.f64 (log.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
	3.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (pow.f64 (cos.f64 phi1) 2)) (-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))
	27.5b	(+.f64 lambda1 (exp.f64 (log.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
	0.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3) (pow.f64 (cos.f64 phi1) 3)) (+.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (-.f64 (pow.f64 (cos.f64 phi1) 2) (.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))))
	25.1b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (pow.f64 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))
	35.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (fma.f64 (sqrt.f64 (sin.f64 lambda2)) (.f64 (sqrt.f64 (sin.f64 lambda2)) (cos.f64 lambda1)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 lambda2)) (cos.f64 lambda1)) (pow.f64 (cbrt.f64 (sin.f64 lambda2)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 lambda2)) (cos.f64 lambda1))) (pow.f64 (cbrt.f64 (sin.f64 lambda2)) 2) (.f64 (.f64 (cbrt.f64 (sin.f64 lambda2)) (cos.f64 lambda1)) (pow.f64 (cbrt.f64 (sin.f64 lambda2)) 2)))))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	1.0b	(+.f64 lambda1 (log1p.f64 (expm1.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
	27.2b	(+.f64 lambda1 (pow.f64 (sqrt.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2))
	6.6b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1)))
	1.3b	(+.f64 lambda1 (.f64 (cbrt.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (pow.f64 (cbrt.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2)))
	1.0b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
▶	0.3b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (fma.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1))))
	0.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (fma.f64 (cos.f64 phi2) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))))
	1.0b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))

Compiler

Compiled 28837 to 4772 computations (83.5% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))))
✓	0.6b	(fma.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1))
	0.6b	(cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))
	31.6b	(fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))

series54.0ms (0.3%)

Counts

2 → 68

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	lambda1	@	inf	(.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))))
2.0ms	lambda1	@	-inf	(.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))))
2.0ms	lambda2	@	inf	(.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))))
2.0ms	lambda2	@	-inf	(.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))))
2.0ms	phi2	@	inf	(fma.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1))

rewrite81.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`prod-diff_binary64`
174×	`add-sqr-sqrt_binary64`
173×	`pow1_binary64`
172×	`*-un-lft-identity_binary64`
159×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	338	27
2	4137	27

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs

(fma.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1))

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

Outputs

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

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

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

848×	`fma-def_binary64`
739×	`associate-r_binary64`
691×	`associate-l_binary64`
637×	`cancel-sign-sub-inv_binary64`
183×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	135	2109
1	445	2023
2	1598	1827

Stop Event

1×	node limit

Counts

106 → 82

Calls

Call 1

Inputs
(+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi1))) (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (pow.f64 phi2 2)))) (.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 phi2 2) (cos.f64 lambda1))))))
(-.f64 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (+.f64 (.f64 1/24 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 phi2 4) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 1/24 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (pow.f64 phi2 4)))))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (pow.f64 phi2 2)))) (.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 phi2 2) (cos.f64 lambda1))))))
(-.f64 (+.f64 (.f64 1/24 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (pow.f64 phi2 4)))) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (.f64 1/24 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 phi2 4) (cos.f64 lambda1)))) (cos.f64 phi1))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (pow.f64 phi2 2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 phi2 2) (cos.f64 lambda1)))) (+.f64 (.f64 1/720 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (pow.f64 phi2 6)))) (.f64 1/720 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 phi2 6) (cos.f64 lambda1))))))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 (.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) lambda1)) (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)) (cos.f64 phi1))) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))))
(-.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)) (cos.f64 phi1))) (+.f64 (.f64 1/6 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)))) (.f64 1/2 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(+.f64 (.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))
(-.f64 (+.f64 (.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (.f64 1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(-.f64 (+.f64 (.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (+.f64 (.f64 1/6 (.f64 (sin.f64 lambda1) (.f64 (pow.f64 lambda2 3) (cos.f64 phi2)))) (.f64 1/2 (.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2))))) (*.f64 1/2 (pow.f64 phi1 2)))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))) (.f64 1/2 (pow.f64 phi1 2)))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))) (+.f64 (.f64 1/2 (pow.f64 phi1 2)) (*.f64 1/720 (pow.f64 phi1 6))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(pow.f64 (pow.f64 (sin.f64 lambda1) 2) 1/3)
(-.f64 (pow.f64 (pow.f64 (sin.f64 lambda1) 2) 1/3) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 lambda1) 2) 1/3) (pow.f64 lambda2 2))))
(-.f64 (pow.f64 (pow.f64 (sin.f64 lambda1) 2) 1/3) (+.f64 (.f64 1/405 (.f64 (pow.f64 (pow.f64 (sin.f64 lambda1) 2) 1/3) (pow.f64 lambda2 6))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 lambda1) 2) 1/3) (pow.f64 lambda2 2)))))
(-.f64 (pow.f64 (pow.f64 (sin.f64 lambda1) 2) 1/3) (+.f64 (.f64 1/405 (.f64 (pow.f64 (pow.f64 (sin.f64 lambda1) 2) 1/3) (pow.f64 lambda2 6))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 lambda1) 2) 1/3) (pow.f64 lambda2 2))) (.f64 1/1701 (.f64 (pow.f64 (pow.f64 (sin.f64 lambda1) 2) 1/3) (pow.f64 lambda2 8))))))
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)

Outputs
(+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi1)))
(fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (cos.f64 phi1)))
(fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (cos.f64 phi1))) (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (pow.f64 phi2 2)))) (.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 phi2 2) (cos.f64 lambda1))))))
(-.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (cos.f64 phi1))) (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (.f64 phi2 phi2))) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (*.f64 phi2 phi2))))))
(+.f64 (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (cos.f64 phi1))) (.f64 -1/2 (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (.f64 phi2 phi2)) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 phi2 phi2))))))
(fma.f64 -1/2 (.f64 (.f64 phi2 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (cos.f64 phi1))))
(-.f64 (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (+.f64 (.f64 1/24 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 phi2 4) (cos.f64 lambda1)))) (+.f64 (cos.f64 phi1) (.f64 1/24 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (pow.f64 phi2 4)))))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (pow.f64 phi2 2)))) (.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 phi2 2) (cos.f64 lambda1))))))
(-.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (fma.f64 1/24 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (pow.f64 phi2 4))) (+.f64 (cos.f64 phi1) (.f64 1/24 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (pow.f64 phi2 4)))))))) (.f64 1/2 (+.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (.f64 phi2 phi2))) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 phi2 phi2))))))
(+.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (fma.f64 (.f64 (cos.f64 lambda2) 1/24) (.f64 (cos.f64 lambda1) (pow.f64 phi2 4)) (fma.f64 1/24 (.f64 (sin.f64 lambda2) (.f64 (pow.f64 phi2 4) (sin.f64 lambda1))) (cos.f64 phi1))))) (.f64 -1/2 (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (.f64 phi2 phi2)) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 phi2 phi2))))))
(fma.f64 -1/2 (.f64 (.f64 phi2 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (+.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (+.f64 (cos.f64 lambda1) (.f64 (.f64 1/24 (pow.f64 phi2 4)) (cos.f64 lambda1))))) (.f64 (sin.f64 lambda1) (+.f64 (sin.f64 lambda2) (.f64 (*.f64 1/24 (pow.f64 phi2 4)) (sin.f64 lambda2))))))
(-.f64 (+.f64 (.f64 1/24 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (pow.f64 phi2 4)))) (+.f64 (.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (.f64 1/24 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 phi2 4) (cos.f64 lambda1)))) (cos.f64 phi1))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (pow.f64 phi2 2)))) (+.f64 (.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 phi2 2) (cos.f64 lambda1)))) (+.f64 (.f64 1/720 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (pow.f64 phi2 6)))) (.f64 1/720 (.f64 (cos.f64 lambda2) (.f64 (pow.f64 phi2 6) (cos.f64 lambda1))))))))
(-.f64 (fma.f64 1/24 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (pow.f64 phi2 4))) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (fma.f64 1/24 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (pow.f64 phi2 4))) (cos.f64 phi1))))) (fma.f64 1/2 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (.f64 phi2 phi2))) (fma.f64 1/2 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 phi2 phi2))) (.f64 1/720 (+.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (pow.f64 phi2 6))) (.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (pow.f64 phi2 6))))))))
(-.f64 (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (fma.f64 (.f64 (cos.f64 lambda2) 1/24) (.f64 (cos.f64 lambda1) (pow.f64 phi2 4)) (fma.f64 1/24 (.f64 (sin.f64 lambda2) (.f64 (pow.f64 phi2 4) (sin.f64 lambda1))) (cos.f64 phi1))))) (fma.f64 1/2 (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (.f64 phi2 phi2)) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 phi2 phi2)))) (.f64 1/720 (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (pow.f64 phi2 6)) (.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (pow.f64 phi2 6)))))))
(-.f64 (+.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda2) (+.f64 (cos.f64 lambda1) (.f64 (.f64 1/24 (pow.f64 phi2 4)) (cos.f64 lambda1))))) (.f64 (sin.f64 lambda1) (+.f64 (sin.f64 lambda2) (.f64 (.f64 1/24 (pow.f64 phi2 4)) (sin.f64 lambda2))))) (fma.f64 1/2 (.f64 (.f64 phi2 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (.f64 1/720 (.f64 (pow.f64 phi2 6) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 phi1))
(fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (cos.f64 phi1))
(fma.f64 (cos.f64 lambda2) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 (.f64 (cos.f64 phi2) (*.f64 (sin.f64 lambda2) lambda1)) (cos.f64 phi1)))
(fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (fma.f64 (cos.f64 phi2) (*.f64 lambda1 (sin.f64 lambda2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (cos.f64 phi1))
(-.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)) (cos.f64 phi1))) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (pow.f64 lambda1 2)))))
(+.f64 (fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (fma.f64 (cos.f64 phi2) (.f64 lambda1 (sin.f64 lambda2)) (cos.f64 phi1))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (-.f64 (cos.f64 phi1) (.f64 (.f64 (.f64 1/2 (cos.f64 phi2)) (.f64 lambda1 lambda1)) (cos.f64 lambda2))))
(fma.f64 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi2) (.f64 lambda1 lambda1))) -1/2 (fma.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (cos.f64 phi1)))
(-.f64 (+.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) lambda1)) (cos.f64 phi1))) (+.f64 (.f64 1/6 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)))) (.f64 1/2 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda2) (pow.f64 lambda1 2))))))
(-.f64 (fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (fma.f64 (cos.f64 phi2) (.f64 lambda1 (sin.f64 lambda2)) (cos.f64 phi1))) (fma.f64 1/6 (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1))))))
(+.f64 (.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (-.f64 (cos.f64 phi1) (fma.f64 1/6 (.f64 (sin.f64 lambda2) (.f64 (cos.f64 phi2) (pow.f64 lambda1 3))) (.f64 (.f64 (.f64 1/2 (cos.f64 phi2)) (.f64 lambda1 lambda1)) (cos.f64 lambda2)))))
(-.f64 (fma.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (.f64 1/2 (.f64 lambda1 lambda1)) (cos.f64 lambda2)) (.f64 (*.f64 1/6 (pow.f64 lambda1 3)) (sin.f64 lambda2)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) (cos.f64 phi2)))
(fma.f64 (cos.f64 lambda1) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))
(fma.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 phi2))))
(fma.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 phi2) (cos.f64 phi1)))
(+.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) lambda2) (cos.f64 lambda1))) (cos.f64 phi1))
(-.f64 (+.f64 (.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (.f64 1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(+.f64 (fma.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 phi2)))) (.f64 -1/2 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (.f64 lambda2 lambda2))))
(fma.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2)) (+.f64 (fma.f64 (cos.f64 lambda1) (cos.f64 phi2) (cos.f64 phi1)) (.f64 (.f64 -1/2 (.f64 (cos.f64 lambda1) (cos.f64 phi2))) (*.f64 lambda2 lambda2))))
(+.f64 (fma.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2)) (cos.f64 phi1)) (.f64 (+.f64 (.f64 (.f64 lambda2 lambda2) -1/2) 1) (*.f64 (cos.f64 lambda1) (cos.f64 phi2))))
(-.f64 (+.f64 (.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (+.f64 (.f64 1/6 (.f64 (sin.f64 lambda1) (.f64 (pow.f64 lambda2 3) (cos.f64 phi2)))) (.f64 1/2 (.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))
(-.f64 (fma.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 phi2)))) (fma.f64 1/6 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (pow.f64 lambda2 3))) (.f64 1/2 (.f64 (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (.f64 lambda2 lambda2)))))
(-.f64 (fma.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 phi2) (cos.f64 phi1))) (fma.f64 1/2 (.f64 lambda2 (.f64 lambda2 (.f64 (cos.f64 lambda1) (cos.f64 phi2)))) (.f64 (.f64 (cos.f64 phi2) (pow.f64 lambda2 3)) (*.f64 (sin.f64 lambda1) 1/6))))
(-.f64 (+.f64 (.f64 (cos.f64 phi2) (+.f64 (.f64 (sin.f64 lambda1) lambda2) (cos.f64 lambda1))) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (+.f64 (.f64 (.f64 (.f64 1/2 lambda2) lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (.f64 1/6 (pow.f64 lambda2 3))))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(+.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(+.f64 1 (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (.f64 (cos.f64 lambda2) (*.f64 (cos.f64 lambda1) (cos.f64 phi2)))))
(+.f64 1 (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(-.f64 (+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2))))) (*.f64 1/2 (pow.f64 phi1 2)))
(+.f64 1 (-.f64 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)))) (.f64 1/2 (*.f64 phi1 phi1))))
(+.f64 (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 phi2)))) (-.f64 1 (.f64 phi1 (*.f64 phi1 1/2))))
(fma.f64 (.f64 phi1 phi1) -1/2 (+.f64 1 (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1))))))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))) (.f64 1/2 (pow.f64 phi1 2)))
(+.f64 (fma.f64 1/24 (pow.f64 phi1 4) (+.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)))))) (.f64 -1/2 (*.f64 phi1 phi1)))
(+.f64 (+.f64 (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 phi2)))) (fma.f64 1/24 (pow.f64 phi1 4) 1)) (.f64 (*.f64 phi1 phi1) -1/2))
(fma.f64 (.f64 phi1 phi1) -1/2 (+.f64 (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)))) (fma.f64 1/24 (pow.f64 phi1 4) 1)))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 1 (+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))) (+.f64 (.f64 1/2 (pow.f64 phi1 2)) (*.f64 1/720 (pow.f64 phi1 6))))
(-.f64 (fma.f64 1/24 (pow.f64 phi1 4) (+.f64 1 (fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)))))) (fma.f64 1/2 (.f64 phi1 phi1) (*.f64 1/720 (pow.f64 phi1 6))))
(+.f64 (fma.f64 1/24 (pow.f64 phi1 4) 1) (-.f64 (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 phi2)))) (fma.f64 1/720 (pow.f64 phi1 6) (.f64 phi1 (*.f64 phi1 1/2)))))
(+.f64 (+.f64 1 (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))))) (fma.f64 1/24 (pow.f64 phi1 4) (fma.f64 (.f64 phi1 phi1) -1/2 (.f64 (pow.f64 phi1 6) -1/720))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(+.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1))) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (+.f64 (cos.f64 phi1) (.f64 (sin.f64 lambda1) (*.f64 (sin.f64 lambda2) (cos.f64 phi2)))))
(fma.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 lambda2) (cos.f64 phi2)) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (fma.f64 (sin.f64 lambda1) (sin.f64 lambda2) (.f64 (cos.f64 lambda2) (cos.f64 lambda1)))))
(pow.f64 (pow.f64 (sin.f64 lambda1) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 lambda1) 2))
(-.f64 (pow.f64 (pow.f64 (sin.f64 lambda1) 2) 1/3) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 lambda1) 2) 1/3) (pow.f64 lambda2 2))))
(+.f64 (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2)) (.f64 -1/3 (.f64 (*.f64 lambda2 lambda2) (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2)))))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2)) (.f64 (.f64 lambda2 lambda2) (*.f64 1/3 (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2)))))
(.f64 (+.f64 (.f64 -1/3 (*.f64 lambda2 lambda2)) 1) (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2)))
(-.f64 (pow.f64 (pow.f64 (sin.f64 lambda1) 2) 1/3) (+.f64 (.f64 1/405 (.f64 (pow.f64 (pow.f64 (sin.f64 lambda1) 2) 1/3) (pow.f64 lambda2 6))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 lambda1) 2) 1/3) (pow.f64 lambda2 2)))))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2)) (fma.f64 1/405 (.f64 (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2)) (pow.f64 lambda2 6)) (.f64 1/3 (.f64 (.f64 lambda2 lambda2) (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2))))))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2)) (fma.f64 1/405 (.f64 (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2)) (pow.f64 lambda2 6)) (.f64 (.f64 lambda2 lambda2) (.f64 1/3 (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2))))))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2)) (.f64 (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2)) (+.f64 (.f64 1/3 (.f64 lambda2 lambda2)) (.f64 1/405 (pow.f64 lambda2 6)))))
(-.f64 (pow.f64 (pow.f64 (sin.f64 lambda1) 2) 1/3) (+.f64 (.f64 1/405 (.f64 (pow.f64 (pow.f64 (sin.f64 lambda1) 2) 1/3) (pow.f64 lambda2 6))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 lambda1) 2) 1/3) (pow.f64 lambda2 2))) (.f64 1/1701 (.f64 (pow.f64 (pow.f64 (sin.f64 lambda1) 2) 1/3) (pow.f64 lambda2 8))))))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2)) (fma.f64 1/405 (.f64 (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2)) (pow.f64 lambda2 6)) (fma.f64 1/3 (.f64 (.f64 lambda2 lambda2) (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2))) (.f64 1/1701 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2)) (pow.f64 lambda2 8))))))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2)) (fma.f64 1/405 (.f64 (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2)) (pow.f64 lambda2 6)) (fma.f64 1/3 (.f64 lambda2 (.f64 lambda2 (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2)))) (.f64 (*.f64 1/1701 (pow.f64 lambda2 8)) (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2))))))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2)) (fma.f64 (.f64 lambda2 lambda2) (.f64 1/3 (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2))) (.f64 (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2)) (+.f64 (.f64 1/1701 (pow.f64 lambda2 8)) (*.f64 1/405 (pow.f64 lambda2 6))))))
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 lambda1) 2) (pow.f64 (cos.f64 lambda2) 2)))

prune1.5s (8.1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	371	2	373
Fresh	1	16	17
Picked	1	0	1
Done	0	0	0
Total	373	18	391

Error

0.1b

Counts

391 → 18

Alt Table

Status	Error	Program
	1.0b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (cos.f64 lambda2) (sin.f64 lambda1) (neg.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))))))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	0.9b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))))
	1.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 lambda2)) 2) (.f64 (cbrt.f64 (sin.f64 lambda2)) (cos.f64 lambda1)) (neg.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 lambda1)) (sin.f64 lambda2)) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (cos.f64 lambda1)) (sin.f64 lambda2))) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2) (.f64 (.f64 (cbrt.f64 (cos.f64 lambda1)) (sin.f64 lambda2)) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2)))))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	15.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (exp.f64 (log.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
	3.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (pow.f64 (cos.f64 phi1) 2)) (-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))
	27.5b	(+.f64 lambda1 (exp.f64 (log.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
	0.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3) (pow.f64 (cos.f64 phi1) 3)) (+.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (-.f64 (pow.f64 (cos.f64 phi1) 2) (.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))))
	25.1b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (pow.f64 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))
	35.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (fma.f64 (sqrt.f64 (sin.f64 lambda2)) (.f64 (sqrt.f64 (sin.f64 lambda2)) (cos.f64 lambda1)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 lambda2)) (cos.f64 lambda1)) (pow.f64 (cbrt.f64 (sin.f64 lambda2)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 lambda2)) (cos.f64 lambda1))) (pow.f64 (cbrt.f64 (sin.f64 lambda2)) 2) (.f64 (.f64 (cbrt.f64 (sin.f64 lambda2)) (cos.f64 lambda1)) (pow.f64 (cbrt.f64 (sin.f64 lambda2)) 2)))))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	1.0b	(+.f64 lambda1 (log1p.f64 (expm1.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
	27.2b	(+.f64 lambda1 (pow.f64 (sqrt.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2))
	6.6b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1)))
	5.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) 2))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (fma.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1))))
	1.3b	(+.f64 lambda1 (.f64 (cbrt.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (pow.f64 (cbrt.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2)))
	1.0b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
	1.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 2))))
▶	0.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (fma.f64 (cos.f64 phi2) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))))
	1.0b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))

Compiler

Compiled 30014 to 4923 computations (83.6% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(fma.f64 (cos.f64 phi2) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))
	0.6b	(cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))
	3.6b	(cos.f64 (-.f64 lambda1 lambda2))
	31.6b	(fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	phi2	@	0	(fma.f64 (cos.f64 phi2) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))
0.0ms	lambda1	@	0	(fma.f64 (cos.f64 phi2) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))
0.0ms	lambda2	@	0	(fma.f64 (cos.f64 phi2) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))
0.0ms	lambda1	@	inf	(fma.f64 (cos.f64 phi2) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))
0.0ms	lambda2	@	-inf	(fma.f64 (cos.f64 phi2) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))

rewrite40.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`prod-diff_binary64`
225×	`expm1-udef_binary64`
225×	`log1p-udef_binary64`
158×	`fma-neg_binary64`
125×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	235	14
2	3043	14

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(fma.f64 (cos.f64 phi2) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))

Outputs

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

simplify42.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

878×	`fma-neg_binary64`
369×	`cancel-sign-sub-inv_binary64`
352×	`associate-r_binary64`
318×	`fma-def_binary64`
315×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1042
1	266	953
2	888	899
3	3862	895

Stop Event

1×	node limit

Counts

71 → 56

Calls

Call 1

Inputs
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(-.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(-.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))))) (.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(-.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))) (.f64 1/720 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 6)))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1))
(-.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(-.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))))
(-.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (.f64 1/2 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(+.f64 (.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))
(-.f64 (+.f64 (.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (.f64 1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(-.f64 (+.f64 (.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (+.f64 (.f64 1/6 (.f64 (sin.f64 lambda1) (.f64 (pow.f64 lambda2 3) (cos.f64 phi2)))) (.f64 1/2 (.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(-.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 1/2 (pow.f64 phi1 2)))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (*.f64 1/2 (pow.f64 phi1 2)))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (+.f64 (.f64 1/2 (pow.f64 phi1 2)) (.f64 1/720 (pow.f64 phi1 6))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))

Outputs
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))
(-.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(-.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi2 phi2))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (*.f64 phi2 phi2) 1/2))))
(+.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 (*.f64 phi2 phi2) -1/2) 1) (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))))) (.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))))
(-.f64 (+.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4)))) (.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 phi2 phi2))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (fma.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4)) (cos.f64 phi1)) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi2 phi2)) -1/2)))
(+.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 (.f64 phi2 phi2) -1/2))))
(-.f64 (+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (+.f64 (cos.f64 phi1) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 2))) (.f64 1/720 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 6)))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (+.f64 (cos.f64 phi1) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4)))) (fma.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi2 phi2)) (.f64 (.f64 1/720 (cos.f64 (-.f64 lambda1 lambda2))) (pow.f64 phi2 6)))))
(+.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (fma.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 4)) (cos.f64 phi1)) (fma.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi2 phi2)) (.f64 1/720 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (pow.f64 phi2 6))))))
(+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) 1) (cos.f64 (-.f64 lambda1 lambda2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (.f64 phi2 phi2) -1/2) (.f64 1/720 (pow.f64 phi2 6))))))
(+.f64 (cos.f64 phi1) (fma.f64 (+.f64 (.f64 1/24 (pow.f64 phi2 4)) 1) (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (-.f64 (.f64 (.f64 phi2 phi2) -1/2) (*.f64 1/720 (pow.f64 phi2 6))))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))) (cos.f64 phi1))
(fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (cos.f64 phi1))
(-.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(-.f64 (fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (.f64 lambda1 (neg.f64 (sin.f64 lambda2)))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 (cos.f64 lambda2) (.f64 lambda1 (neg.f64 (sin.f64 lambda2))))))
(fma.f64 (cos.f64 phi2) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))) (cos.f64 phi1))
(-.f64 (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))))
(-.f64 (fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (cos.f64 phi1)) (fma.f64 (cos.f64 phi2) (.f64 lambda1 (neg.f64 (sin.f64 lambda2))) (.f64 1/2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (*.f64 lambda1 lambda1)))))
(+.f64 (cos.f64 phi1) (-.f64 (.f64 (cos.f64 phi2) (-.f64 (cos.f64 lambda2) (.f64 lambda1 (neg.f64 (sin.f64 lambda2))))) (.f64 1/2 (.f64 (cos.f64 phi2) (.f64 lambda1 (.f64 lambda1 (cos.f64 lambda2)))))))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (-.f64 (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2))) (.f64 (cos.f64 lambda2) (.f64 lambda1 (*.f64 lambda1 1/2))))))
(-.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3)))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))) (+.f64 (.f64 (cos.f64 phi2) (.f64 (sin.f64 (neg.f64 lambda2)) lambda1)) (.f64 1/2 (.f64 (cos.f64 phi2) (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))))
(-.f64 (fma.f64 1/6 (.f64 (cos.f64 phi2) (.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3))) (fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (cos.f64 phi1))) (fma.f64 (cos.f64 phi2) (.f64 lambda1 (neg.f64 (sin.f64 lambda2))) (.f64 1/2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda2)) (*.f64 lambda1 lambda1)))))
(+.f64 (+.f64 (fma.f64 1/6 (.f64 (cos.f64 phi2) (neg.f64 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)))) (cos.f64 phi1)) (.f64 (cos.f64 phi2) (-.f64 (cos.f64 lambda2) (.f64 lambda1 (neg.f64 (sin.f64 lambda2)))))) (.f64 -1/2 (.f64 (cos.f64 phi2) (.f64 lambda1 (.f64 lambda1 (cos.f64 lambda2))))))
(+.f64 (fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (cos.f64 phi1)) (+.f64 (.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (-.f64 (.f64 1/6 (pow.f64 lambda1 3)) lambda1)) (.f64 (.f64 -1/2 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (*.f64 lambda1 lambda1)))))
(+.f64 (fma.f64 (cos.f64 phi2) (cos.f64 lambda2) (cos.f64 phi1)) (fma.f64 (.f64 (cos.f64 phi2) (neg.f64 (sin.f64 lambda2))) (fma.f64 1/6 (pow.f64 lambda1 3) (neg.f64 lambda1)) (.f64 (.f64 -1/2 (cos.f64 lambda2)) (.f64 (cos.f64 phi2) (*.f64 lambda1 lambda1)))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(fma.f64 (cos.f64 phi2) (cos.f64 lambda1) (cos.f64 phi1))
(+.f64 (.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))
(fma.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1))))
(fma.f64 (sin.f64 lambda1) (*.f64 lambda2 (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 lambda1) (cos.f64 phi1)))
(+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (+.f64 (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))
(-.f64 (+.f64 (.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (.f64 1/2 (.f64 (pow.f64 lambda2 2) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))))
(+.f64 (fma.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (.f64 -1/2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (.f64 lambda2 lambda2))))
(+.f64 (fma.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 lambda1) (cos.f64 phi1))) (.f64 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2))) -1/2))
(+.f64 (fma.f64 (cos.f64 phi2) (.f64 lambda2 (sin.f64 lambda1)) (cos.f64 phi1)) (.f64 (+.f64 (.f64 (.f64 -1/2 lambda2) lambda2) 1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))
(-.f64 (+.f64 (.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2))) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (+.f64 (.f64 1/6 (.f64 (sin.f64 lambda1) (.f64 (pow.f64 lambda2 3) (cos.f64 phi2)))) (.f64 1/2 (.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))))
(-.f64 (fma.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2)) (+.f64 (cos.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (fma.f64 1/6 (.f64 (sin.f64 lambda1) (.f64 (cos.f64 phi2) (pow.f64 lambda2 3))) (.f64 1/2 (.f64 (.f64 (cos.f64 phi2) (cos.f64 lambda1)) (.f64 lambda2 lambda2)))))
(-.f64 (fma.f64 (sin.f64 lambda1) (.f64 lambda2 (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 lambda1) (cos.f64 phi1))) (fma.f64 1/2 (.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda1) (.f64 lambda2 lambda2))) (.f64 1/6 (.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (pow.f64 lambda2 3))))))
(+.f64 (+.f64 (cos.f64 phi1) (.f64 (+.f64 (.f64 (.f64 -1/2 lambda2) lambda2) 1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (.f64 (cos.f64 phi2) (-.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 1/6 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 1 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(+.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 1)
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) 1)
(-.f64 (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (.f64 1/2 (pow.f64 phi1 2)))
(+.f64 1 (-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 1/2 (*.f64 phi1 phi1))))
(+.f64 1 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (.f64 (.f64 phi1 phi1) -1/2)))
(fma.f64 (*.f64 phi1 phi1) -1/2 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) 1))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (*.f64 1/2 (pow.f64 phi1 2)))
(+.f64 (fma.f64 1/24 (pow.f64 phi1 4) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 1)) (.f64 -1/2 (*.f64 phi1 phi1)))
(+.f64 (fma.f64 1/24 (pow.f64 phi1 4) 1) (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (.f64 (.f64 phi1 phi1) -1/2)))
(fma.f64 (*.f64 phi1 phi1) -1/2 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (fma.f64 1/24 (pow.f64 phi1 4) 1)))
(-.f64 (+.f64 (.f64 1/24 (pow.f64 phi1 4)) (+.f64 1 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))) (+.f64 (.f64 1/2 (pow.f64 phi1 2)) (.f64 1/720 (pow.f64 phi1 6))))
(-.f64 (fma.f64 1/24 (pow.f64 phi1 4) (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 1)) (fma.f64 1/2 (.f64 phi1 phi1) (*.f64 1/720 (pow.f64 phi1 6))))
(-.f64 (fma.f64 1/24 (pow.f64 phi1 4) (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) 1)) (fma.f64 1/2 (.f64 phi1 phi1) (.f64 1/720 (pow.f64 phi1 6))))
(+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (fma.f64 1/24 (pow.f64 phi1 4) 1)) (fma.f64 (.f64 phi1 phi1) -1/2 (.f64 (pow.f64 phi1 6) -1/720)))
(+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) 1) (fma.f64 (.f64 phi1 phi1) (fma.f64 phi1 (.f64 phi1 1/24) -1/2) (*.f64 (pow.f64 phi1 6) -1/720)))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))
(+.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2) (cos.f64 phi1))

prune1.4s (8%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	388	0	388
Fresh	0	17	17
Picked	0	1	1
Done	0	0	0
Total	388	18	406

Error

0.1b

Counts

406 → 18

Alt Table

Status	Error	Program
	1.0b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (cos.f64 lambda2) (sin.f64 lambda1) (neg.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cbrt.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))))))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	0.9b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))))
	1.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 lambda2)) 2) (.f64 (cbrt.f64 (sin.f64 lambda2)) (cos.f64 lambda1)) (neg.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 lambda1)) (sin.f64 lambda2)) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (cos.f64 lambda1)) (sin.f64 lambda2))) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2) (.f64 (.f64 (cbrt.f64 (cos.f64 lambda1)) (sin.f64 lambda2)) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2)))))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	15.2b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (exp.f64 (log.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
	3.5b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (pow.f64 (cos.f64 phi1) 2)) (-.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))
	27.5b	(+.f64 lambda1 (exp.f64 (log.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
	0.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) 3) (pow.f64 (cos.f64 phi1) 3)) (+.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2))) (-.f64 (pow.f64 (cos.f64 phi1) 2) (.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (cos.f64 phi1)))))))
	25.1b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (fma.f64 (cos.f64 phi2) (pow.f64 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))
	35.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (+.f64 (fma.f64 (sqrt.f64 (sin.f64 lambda2)) (.f64 (sqrt.f64 (sin.f64 lambda2)) (cos.f64 lambda1)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 lambda2)) (cos.f64 lambda1)) (pow.f64 (cbrt.f64 (sin.f64 lambda2)) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 lambda2)) (cos.f64 lambda1))) (pow.f64 (cbrt.f64 (sin.f64 lambda2)) 2) (.f64 (.f64 (cbrt.f64 (sin.f64 lambda2)) (cos.f64 lambda1)) (pow.f64 (cbrt.f64 (sin.f64 lambda2)) 2)))))) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))
	1.0b	(+.f64 lambda1 (log1p.f64 (expm1.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))))))
	27.2b	(+.f64 lambda1 (pow.f64 (sqrt.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2))
	6.6b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 1)))
	5.8b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) 2))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (fma.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1))))
	1.3b	(+.f64 lambda1 (.f64 (cbrt.f64 (atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) (pow.f64 (cbrt.f64 (atan2.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))) 2)))
	1.0b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))
	1.1b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1))) 2))))
✓	0.9b	(+.f64 lambda1 (atan2.f64 (.f64 (cos.f64 phi2) (+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) (fma.f64 (neg.f64 (sin.f64 lambda2)) (cos.f64 lambda1) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))))) (fma.f64 (cos.f64 phi2) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))))
	1.0b	(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (sin.f64 (-.f64 lambda1 lambda2))) (log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi1)))))))

Compiler

Compiled 28725 to 4478 computations (84.4% saved)

regimes1.5s (8.5%)

Accuracy

Total 0.2b remaining (67.3%)

Threshold costs 0.2b (67.3%)

Counts

295 → 1

Compiler

Compiled 14863 to 2039 computations (86.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	78
1	39	78
2	48	78
3	53	78
4	55	78

Stop Event

1×

saturated

Calls

Call 1

Inputs

(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) 0)) (fma.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1))))

Outputs

(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)))) 0)) (fma.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1))))

(+.f64 lambda1 (atan2.f64 (*.f64 (cos.f64 phi2) (fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (*.f64 (cos.f64 lambda1) (neg.f64 (sin.f64 lambda2))))) (fma.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi1))))

end434.0ms (2.4%)

Stop Event

1×

fuel

Compiler

Compiled 1022 to 463 computations (54.7% saved)

Details

analyze2.9s (15.8%)

sample7.8s (42.9%)

preprocess86.0ms (0.5%)

simplify27.0ms (0.1%)

prune4.0ms (0%)

localize15.0ms (0.1%)

series21.0ms (0.1%)

rewrite63.0ms (0.4%)

simplify34.0ms (0.2%)

prune352.0ms (1.9%)

localize37.0ms (0.2%)

series28.0ms (0.2%)

rewrite96.0ms (0.5%)

simplify37.0ms (0.2%)

prune1.4s (8%)

localize29.0ms (0.2%)

series54.0ms (0.3%)

rewrite81.0ms (0.4%)

simplify48.0ms (0.3%)

prune1.5s (8.1%)

localize35.0ms (0.2%)

series4.0ms (0%)

rewrite40.0ms (0.2%)

simplify42.0ms (0.2%)

prune1.4s (8%)

regimes1.5s (8.5%)

simplify3.0ms (0%)

end434.0ms (2.4%)

Profiling