Details

analyze3.7s (13.9%)

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
7.8%	92%	0.2%	9
7.8%	92%	0.2%	10
10.1%	89.7%	0.2%	11
10.1%	89.7%	0.2%	12
13.9%	85.9%	0.2%	13
13.9%	85.9%	0.2%	14

Compiler

Compiled 29 to 18 computations (37.9% saved)

sample11.5s (43.6%)

Results

9.0s	5524×	body	1024	valid
1.3s	1328×	body	512	valid
684.0ms	191×	body	2048	valid
274.0ms	810×	body	128	valid
240.0ms	403×	body	256	valid

Compiler

Compiled 58 to 36 computations (37.9% saved)

preprocess57.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

848×	`fma-neg_binary64`
807×	`fma-def_binary64`
360×	`cancel-sign-sub-inv_binary64`
209×	`sub-neg_binary64`
190×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	273
1	163	273
2	376	273
3	798	273
4	1264	273
5	1906	273
6	2810	273
7	3765	273
8	4582	273
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 28 to 17 computations (39.3% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

543×	`fma-def_binary64`
194×	`fma-neg_binary64`
85×	`cancel-sign-sub-inv_binary64`
59×	`distribute-rgt-neg-in_binary64`
47×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	39
1	32	39
2	67	39
3	132	39
4	209	39
5	322	39
6	501	39
7	666	39
8	903	39
9	1361	39
10	1522	39
11	1548	39

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs

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

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

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

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

13.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	13.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))

Compiler

Compiled 108 to 55 computations (49.1% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
✓	0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
✓	4.6b	(sin.f64 (-.f64 lambda1 lambda2))
✓	4.7b	(cos.f64 (-.f64 lambda1 lambda2))

series26.0ms (0.1%)

Counts

4 → 72

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	phi1	@	inf	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.0ms	lambda1	@	inf	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.0ms	phi1	@	0	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
1.0ms	phi2	@	inf	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
1.0ms	lambda2	@	inf	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`prod-diff_binary64`
145×	`add-sqr-sqrt_binary64`
143×	`*-un-lft-identity_binary64`
143×	`pow1_binary64`
134×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	263	36
2	3653	36

Stop Event

1×	node limit

Counts

4 → 113

Calls

Call 1

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

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

simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

872×	`cancel-sign-sub-inv_binary64`
351×	`fma-neg_binary64`
343×	`distribute-rgt-neg-in_binary64`
323×	`distribute-lft-neg-in_binary64`
253×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	1717
1	569	1652
2	1969	1473

Stop Event

1×	node limit

Counts

185 → 191

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)) (.f64 phi1 (cos.f64 phi2)))
(-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2))) (.f64 1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (pow.f64 phi1 3) (cos.f64 phi2)))))
(-.f64 (+.f64 (.f64 1/120 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 5)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))) (.f64 1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 3)))))
(-.f64 (+.f64 (.f64 1/120 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi1 5) (cos.f64 phi2)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))) (+.f64 (.f64 1/5040 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi1 7) (cos.f64 phi2)))) (.f64 1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (pow.f64 phi1 3))))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
(-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))
(-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (pow.f64 phi2 4))))) (.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))
(-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (pow.f64 phi2 4))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))) (.f64 1/720 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (pow.f64 phi2 6))))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
(-.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(-.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (+.f64 (.f64 1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (.f64 1/6 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3)))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(+.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 phi1) (.f64 lambda2 (cos.f64 phi2)))) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))
(-.f64 (+.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) lambda2))) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (.f64 1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))
(-.f64 (+.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) lambda2))) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (+.f64 (.f64 1/6 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 phi1) (.f64 (pow.f64 lambda2 3) (cos.f64 phi2))))) (.f64 1/2 (.f64 (sin.f64 phi1) (.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(*.f64 (cos.f64 phi2) phi1)
(-.f64 (.f64 phi1 (cos.f64 phi2)) (.f64 1/6 (*.f64 (pow.f64 phi1 3) (cos.f64 phi2))))
(-.f64 (+.f64 (.f64 phi1 (cos.f64 phi2)) (.f64 1/120 (.f64 (pow.f64 phi1 5) (cos.f64 phi2)))) (.f64 1/6 (*.f64 (pow.f64 phi1 3) (cos.f64 phi2))))
(-.f64 (+.f64 (.f64 phi1 (cos.f64 phi2)) (.f64 1/120 (.f64 (pow.f64 phi1 5) (cos.f64 phi2)))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 phi1 7) (cos.f64 phi2))) (.f64 1/6 (*.f64 (pow.f64 phi1 3) (cos.f64 phi2)))))
(sin.f64 phi1)
(-.f64 (sin.f64 phi1) (.f64 1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2))))
(-.f64 (+.f64 (sin.f64 phi1) (.f64 1/24 (.f64 (sin.f64 phi1) (pow.f64 phi2 4)))) (.f64 1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2))))
(-.f64 (+.f64 (sin.f64 phi1) (.f64 1/24 (.f64 (sin.f64 phi1) (pow.f64 phi2 4)))) (+.f64 (.f64 1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2))) (.f64 1/720 (.f64 (sin.f64 phi1) (pow.f64 phi2 6)))))

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)))
(-.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 -1/2 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)))) (.f64 lambda1 (sin.f64 lambda2)))
(-.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (*.f64 (cos.f64 lambda2) 1/2) 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)))
(-.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 (fma.f64 (.f64 -1/6 (sin.f64 lambda2)) (pow.f64 lambda1 3) (cos.f64 lambda2)) (.f64 lambda1 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (.f64 (cos.f64 lambda2) 1/2) lambda1))))
(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 1/2 (.f64 (cos.f64 lambda1) (.f64 lambda2 lambda2))))
(+.f64 (fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1)) (.f64 (.f64 lambda2 (*.f64 lambda2 (cos.f64 lambda1))) -1/2))
(+.f64 (cos.f64 lambda1) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (cos.f64 lambda1) (.f64 (*.f64 lambda2 lambda2) -1/2))))
(-.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 1/2 (.f64 lambda2 (.f64 lambda2 (cos.f64 lambda1))) (.f64 (pow.f64 lambda2 3) (.f64 1/6 (sin.f64 lambda1)))))
(+.f64 (cos.f64 lambda1) (+.f64 (.f64 (sin.f64 lambda1) (-.f64 lambda2 (.f64 1/6 (pow.f64 lambda2 3)))) (.f64 (cos.f64 lambda1) (.f64 (*.f64 lambda2 lambda2) -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)))))
(fma.f64 (cos.f64 lambda2) lambda1 (-.f64 (neg.f64 (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 (*.f64 (cos.f64 lambda2) 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 (*.f64 1/2 (sin.f64 lambda1)) 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 (+.f64 (sin.f64 lambda1) (.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 (sin.f64 lambda1) (+.f64 (.f64 (cos.f64 lambda1) (-.f64 (.f64 1/6 (pow.f64 lambda2 3)) lambda2)) (.f64 (sin.f64 lambda1) (.f64 (*.f64 lambda2 lambda2) -1/2))))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))
(-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2))) (.f64 1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (pow.f64 phi1 3) (cos.f64 phi2)))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2))) (.f64 -1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (pow.f64 phi1 3)))))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)) (.f64 (.f64 (.f64 (cos.f64 phi2) (pow.f64 phi1 3)) -1/6) (cos.f64 (-.f64 lambda1 lambda2))))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (*.f64 (pow.f64 phi1 3) -1/6))))
(-.f64 (+.f64 (.f64 1/120 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 5)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))) (.f64 1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 3)))))
(+.f64 (fma.f64 1/120 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (pow.f64 phi1 5)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))) (.f64 -1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (pow.f64 phi1 3)))))
(fma.f64 1/120 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 5))) (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)) (.f64 (.f64 (.f64 (cos.f64 phi2) (pow.f64 phi1 3)) -1/6) (cos.f64 (-.f64 lambda1 lambda2)))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (fma.f64 1/120 (pow.f64 phi1 5) (*.f64 (pow.f64 phi1 3) -1/6)))))
(-.f64 (+.f64 (.f64 1/120 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi1 5) (cos.f64 phi2)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))) (+.f64 (.f64 1/5040 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (pow.f64 phi1 7) (cos.f64 phi2)))) (.f64 1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (pow.f64 phi1 3))))))
(-.f64 (fma.f64 1/120 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (pow.f64 phi1 5)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))) (fma.f64 1/5040 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 7))) (.f64 1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (pow.f64 phi1 3))))))
(-.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (.f64 1/120 (pow.f64 phi1 5))))) (fma.f64 1/6 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (pow.f64 phi1 3))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (*.f64 1/5040 (pow.f64 phi1 7))))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 (pow.f64 phi1 3) -1/6)))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (-.f64 (.f64 1/120 (pow.f64 phi1 5)) (*.f64 1/5040 (pow.f64 phi1 7))))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(*.f64 (sin.f64 phi1) (cos.f64 (-.f64 lambda1 lambda2)))
(*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1))
(-.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (*.f64 phi2 phi2)))))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1) (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi2 phi2))) -1/2))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (+.f64 (.f64 -1/2 (.f64 phi2 phi2)) 1) (sin.f64 phi1)))
(-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (pow.f64 phi2 4))))) (.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (pow.f64 phi2 2)))))
(+.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (pow.f64 phi2 4))))) (.f64 -1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (*.f64 phi2 phi2)))))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1) (fma.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (pow.f64 phi2 4))) (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi2 phi2))) -1/2)))
(fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1) (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (-.f64 (.f64 (pow.f64 phi2 4) 1/24) (.f64 (*.f64 phi2 phi2) 1/2))))
(-.f64 (+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (pow.f64 phi2 4))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (pow.f64 phi2 2)))) (.f64 1/720 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (pow.f64 phi2 6))))))
(-.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1) (.f64 1/24 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (pow.f64 phi2 4))))) (fma.f64 1/2 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (.f64 phi2 phi2))) (.f64 1/720 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (pow.f64 phi2 6))))))
(-.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1) (.f64 (.f64 (sin.f64 phi1) (pow.f64 phi2 4)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/24))) (fma.f64 1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi2 phi2))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (*.f64 (pow.f64 phi2 6) 1/720)))))
(+.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (fma.f64 1/24 (.f64 (sin.f64 phi1) (pow.f64 phi2 4)) (sin.f64 phi1))) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (-.f64 (.f64 -1/2 (.f64 phi2 phi2)) (*.f64 1/720 (pow.f64 phi2 6))))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2))))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 phi2)))
(.f64 (cos.f64 phi2) (.f64 (cos.f64 lambda2) (sin.f64 phi1)))
(.f64 (cos.f64 lambda2) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(-.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(.f64 (sin.f64 phi1) (-.f64 (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (.f64 (.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2))))
(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))
(-.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (+.f64 (.f64 1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(-.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 phi2))) (fma.f64 1/2 (.f64 (sin.f64 phi1) (.f64 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)))))
(-.f64 (.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (.f64 (.f64 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (cos.f64 phi2)) (.f64 1/2 (sin.f64 phi1))))
(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (-.f64 (cos.f64 lambda2) (.f64 lambda1 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (*.f64 (cos.f64 lambda2) 1/2) lambda1)))))
(-.f64 (+.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 (neg.f64 lambda2)))) (.f64 1/6 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3)))))) (+.f64 (.f64 1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))))) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(-.f64 (fma.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda2) (cos.f64 phi2)) (.f64 1/6 (.f64 (sin.f64 phi1) (.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (cos.f64 phi2))))) (fma.f64 1/2 (.f64 (sin.f64 phi1) (.f64 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (cos.f64 phi2))) (.f64 (sin.f64 phi1) (.f64 (.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 phi2)))))
(+.f64 (.f64 (sin.f64 phi1) (.f64 (.f64 (.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (cos.f64 phi2)) 1/6)) (-.f64 (.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (+.f64 (cos.f64 lambda2) (.f64 lambda1 (sin.f64 lambda2)))) (.f64 (.f64 (.f64 (cos.f64 lambda2) (.f64 lambda1 lambda1)) (cos.f64 phi2)) (.f64 1/2 (sin.f64 phi1)))))
(-.f64 (.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (fma.f64 (.f64 -1/6 (sin.f64 lambda2)) (pow.f64 lambda1 3) (cos.f64 lambda2))) (.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (.f64 lambda1 (+.f64 (neg.f64 (sin.f64 lambda2)) (.f64 (.f64 (cos.f64 lambda2) 1/2) lambda1)))))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 phi2)))
(.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(+.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 phi1) (.f64 lambda2 (cos.f64 phi2)))) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 lambda1))))
(fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 phi1) (.f64 lambda2 (cos.f64 phi2))) (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 phi2))))
(fma.f64 (sin.f64 lambda1) (.f64 lambda2 (.f64 (cos.f64 phi2) (sin.f64 phi1))) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 phi1))))
(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1)))
(-.f64 (+.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) lambda2))) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (.f64 1/2 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))
(-.f64 (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 phi1) (.f64 lambda2 (cos.f64 phi2))) (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 phi2)))) (.f64 1/2 (.f64 (sin.f64 phi1) (.f64 (.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2)) (cos.f64 phi2)))))
(fma.f64 (sin.f64 lambda1) (.f64 lambda2 (.f64 (cos.f64 phi2) (sin.f64 phi1))) (fma.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 phi2)) (.f64 (.f64 -1/2 (sin.f64 phi1)) (.f64 (.f64 lambda2 (.f64 lambda2 (cos.f64 lambda1))) (cos.f64 phi2)))))
(fma.f64 (sin.f64 lambda1) (.f64 lambda2 (.f64 (cos.f64 phi2) (sin.f64 phi1))) (.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (.f64 (+.f64 (.f64 (*.f64 lambda2 lambda2) -1/2) 1) (cos.f64 lambda1))))
(-.f64 (+.f64 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) lambda2))) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi2) (cos.f64 lambda1)))) (+.f64 (.f64 1/6 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 phi1) (.f64 (pow.f64 lambda2 3) (cos.f64 phi2))))) (.f64 1/2 (.f64 (sin.f64 phi1) (.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (cos.f64 lambda1)))))))
(-.f64 (fma.f64 (sin.f64 lambda1) (.f64 (sin.f64 phi1) (.f64 lambda2 (cos.f64 phi2))) (.f64 (sin.f64 phi1) (.f64 (cos.f64 lambda1) (cos.f64 phi2)))) (fma.f64 1/6 (.f64 (sin.f64 lambda1) (.f64 (sin.f64 phi1) (.f64 (pow.f64 lambda2 3) (cos.f64 phi2)))) (.f64 1/2 (.f64 (sin.f64 phi1) (.f64 (.f64 lambda2 lambda2) (.f64 (cos.f64 lambda1) (cos.f64 phi2)))))))
(-.f64 (fma.f64 (sin.f64 lambda1) (.f64 lambda2 (.f64 (cos.f64 phi2) (sin.f64 phi1))) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (fma.f64 1/2 (.f64 (.f64 lambda2 (.f64 lambda2 (cos.f64 lambda1))) (.f64 (cos.f64 phi2) (sin.f64 phi1))) (.f64 (.f64 (cos.f64 phi2) (.f64 (pow.f64 lambda2 3) (sin.f64 phi1))) (.f64 1/6 (sin.f64 lambda1)))))
(+.f64 (.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (.f64 (+.f64 (.f64 (.f64 lambda2 lambda2) -1/2) 1) (cos.f64 lambda1))) (.f64 (.f64 (sin.f64 lambda1) (sin.f64 phi1)) (-.f64 (.f64 lambda2 (cos.f64 phi2)) (.f64 (.f64 (pow.f64 lambda2 3) (cos.f64 phi2)) 1/6))))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (sin.f64 phi1) (cos.f64 phi2)))
(.f64 (sin.f64 phi1) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))
(.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi2) (sin.f64 phi1)))
(*.f64 (cos.f64 phi2) phi1)
(*.f64 phi1 (cos.f64 phi2))
(-.f64 (.f64 phi1 (cos.f64 phi2)) (.f64 1/6 (*.f64 (pow.f64 phi1 3) (cos.f64 phi2))))
(+.f64 (.f64 phi1 (cos.f64 phi2)) (.f64 -1/6 (*.f64 (cos.f64 phi2) (pow.f64 phi1 3))))
(.f64 (cos.f64 phi2) (-.f64 phi1 (.f64 1/6 (pow.f64 phi1 3))))
(.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 (pow.f64 phi1 3) -1/6)))
(-.f64 (+.f64 (.f64 phi1 (cos.f64 phi2)) (.f64 1/120 (.f64 (pow.f64 phi1 5) (cos.f64 phi2)))) (.f64 1/6 (*.f64 (pow.f64 phi1 3) (cos.f64 phi2))))
(+.f64 (fma.f64 phi1 (cos.f64 phi2) (.f64 (.f64 1/120 (pow.f64 phi1 5)) (cos.f64 phi2))) (.f64 -1/6 (.f64 (cos.f64 phi2) (pow.f64 phi1 3))))
(fma.f64 phi1 (cos.f64 phi2) (.f64 (cos.f64 phi2) (-.f64 (.f64 1/120 (pow.f64 phi1 5)) (*.f64 1/6 (pow.f64 phi1 3)))))
(.f64 (cos.f64 phi2) (+.f64 phi1 (fma.f64 1/120 (pow.f64 phi1 5) (.f64 (pow.f64 phi1 3) -1/6))))
(-.f64 (+.f64 (.f64 phi1 (cos.f64 phi2)) (.f64 1/120 (.f64 (pow.f64 phi1 5) (cos.f64 phi2)))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 phi1 7) (cos.f64 phi2))) (.f64 1/6 (*.f64 (pow.f64 phi1 3) (cos.f64 phi2)))))
(-.f64 (fma.f64 phi1 (cos.f64 phi2) (.f64 (.f64 1/120 (pow.f64 phi1 5)) (cos.f64 phi2))) (fma.f64 1/5040 (.f64 (cos.f64 phi2) (pow.f64 phi1 7)) (.f64 1/6 (*.f64 (cos.f64 phi2) (pow.f64 phi1 3)))))
(-.f64 (.f64 (cos.f64 phi2) (+.f64 phi1 (.f64 1/120 (pow.f64 phi1 5)))) (.f64 (cos.f64 phi2) (+.f64 (.f64 1/6 (pow.f64 phi1 3)) (*.f64 1/5040 (pow.f64 phi1 7)))))
(.f64 (cos.f64 phi2) (-.f64 (+.f64 phi1 (.f64 1/120 (pow.f64 phi1 5))) (+.f64 (.f64 1/5040 (pow.f64 phi1 7)) (.f64 1/6 (pow.f64 phi1 3)))))
(sin.f64 phi1)
(-.f64 (sin.f64 phi1) (.f64 1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2))))
(+.f64 (sin.f64 phi1) (.f64 -1/2 (.f64 (sin.f64 phi1) (*.f64 phi2 phi2))))
(+.f64 (sin.f64 phi1) (.f64 (.f64 phi2 (*.f64 phi2 (sin.f64 phi1))) -1/2))
(.f64 (+.f64 (.f64 -1/2 (*.f64 phi2 phi2)) 1) (sin.f64 phi1))
(-.f64 (+.f64 (sin.f64 phi1) (.f64 1/24 (.f64 (sin.f64 phi1) (pow.f64 phi2 4)))) (.f64 1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2))))
(+.f64 (sin.f64 phi1) (-.f64 (.f64 1/24 (.f64 (sin.f64 phi1) (pow.f64 phi2 4))) (.f64 1/2 (.f64 (sin.f64 phi1) (*.f64 phi2 phi2)))))
(-.f64 (fma.f64 (.f64 (sin.f64 phi1) 1/24) (pow.f64 phi2 4) (sin.f64 phi1)) (.f64 (sin.f64 phi1) (.f64 (.f64 phi2 phi2) 1/2)))
(+.f64 (sin.f64 phi1) (.f64 (sin.f64 phi1) (-.f64 (.f64 1/24 (pow.f64 phi2 4)) (.f64 1/2 (.f64 phi2 phi2)))))
(-.f64 (+.f64 (sin.f64 phi1) (.f64 1/24 (.f64 (sin.f64 phi1) (pow.f64 phi2 4)))) (+.f64 (.f64 1/2 (.f64 (sin.f64 phi1) (pow.f64 phi2 2))) (.f64 1/720 (.f64 (sin.f64 phi1) (pow.f64 phi2 6)))))
(+.f64 (sin.f64 phi1) (-.f64 (.f64 1/24 (.f64 (sin.f64 phi1) (pow.f64 phi2 4))) (fma.f64 1/2 (.f64 (sin.f64 phi1) (.f64 phi2 phi2)) (.f64 1/720 (.f64 (sin.f64 phi1) (pow.f64 phi2 6))))))
(-.f64 (fma.f64 (.f64 (sin.f64 phi1) 1/24) (pow.f64 phi2 4) (sin.f64 phi1)) (fma.f64 1/2 (.f64 phi2 (.f64 phi2 (sin.f64 phi1))) (.f64 (sin.f64 phi1) (*.f64 (pow.f64 phi2 6) 1/720))))
(+.f64 (sin.f64 phi1) (fma.f64 (sin.f64 phi1) (.f64 (pow.f64 phi2 4) 1/24) (.f64 (sin.f64 phi1) (-.f64 (.f64 -1/2 (.f64 phi2 phi2)) (*.f64 1/720 (pow.f64 phi2 6))))))

prune388.0ms (1.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	174	17	191
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	175	17	192

Error

5.9b

Counts

192 → 17

Alt Table

Status	Error	Program
	33.2b	(atan2.f64 (.f64 (sin.f64 lambda1) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	13.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (sin.f64 phi1)) (cos.f64 phi2)))) 1)))
	37.3b	(atan2.f64 (.f64 (+.f64 (fma.f64 (cos.f64 lambda2) (sin.f64 lambda1) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 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)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	25.0b	(atan2.f64 (.f64 (log.f64 (exp.f64 (sin.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	35.7b	(atan2.f64 (.f64 (+.f64 (fma.f64 (sqrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (sqrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	31.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 phi1 (cos.f64 phi2)))))
▶	6.4b	(atan2.f64 (.f64 (+.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 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	23.0b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1)))))
	6.4b	(atan2.f64 (.f64 (+.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))))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	24.3b	(atan2.f64 (.f64 (fma.f64 (cos.f64 lambda2) lambda1 (fma.f64 -1 (sin.f64 lambda2) (.f64 (.f64 lambda1 lambda1) (-.f64 (.f64 1/2 (sin.f64 lambda2)) (.f64 (.f64 (cos.f64 lambda2) 1/6) lambda1))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	22.1b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (cos.f64 lambda2) (*.f64 lambda1 (sin.f64 lambda2))))))
	25.0b	(atan2.f64 (.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	12.9b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	32.1b	(atan2.f64 (.f64 (sin.f64 (neg.f64 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	12.7b	(atan2.f64 (.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 3) (pow.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (+.f64 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	26.0b	(atan2.f64 (.f64 (-.f64 (sin.f64 lambda1) (.f64 lambda2 (+.f64 (cos.f64 lambda1) (.f64 (.f64 1/2 (sin.f64 lambda1)) lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	13.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 phi1)) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))))

Compiler

Compiled 8389 to 2210 computations (73.7% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(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 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1)))
✓	0.5b	(.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))))
✓	0.6b	(cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))
	4.7b	(cos.f64 (-.f64 lambda1 lambda2))

series46.0ms (0.2%)

Counts

3 → 62

Calls

18 calls:

Time	Variable		Point	Expression
12.0ms	lambda2	@	-inf	(.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))))
5.0ms	lambda2	@	0	(.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))))
4.0ms	lambda2	@	inf	(cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))
3.0ms	lambda2	@	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))))

rewrite217.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`prod-diff_binary64`
572×	`egg-rr`
213×	`log1p-udef_binary64`
134×	`add-sqr-sqrt_binary64`
131×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	296	39
2	3208	39

Stop Event

1×	node limit

Counts

3 → 612

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))
(.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))))
(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 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1)))

Inputs

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

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

(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 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1)))

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

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

simplify87.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

915×	`fma-neg_binary64`
587×	`unswap-sqr_binary64`
430×	`associate-r_binary64`
374×	`associate-l_binary64`
235×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	1050
1	218	1048
2	695	1000
3	3257	998

Stop Event

1×	node limit

Counts

674 → 644

Calls

Call 1

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

Outputs
(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 (.f64 1/6 (cbrt.f64 (sin.f64 lambda1))) (*.f64 lambda2 lambda2)))
(+.f64 (cbrt.f64 (sin.f64 lambda1)) (.f64 (.f64 (cbrt.f64 (sin.f64 lambda1)) (*.f64 lambda2 lambda2)) -1/6))
(.f64 (+.f64 (.f64 (*.f64 lambda2 lambda2) -1/6) 1) (cbrt.f64 (sin.f64 lambda1)))
(-.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 (.f64 1/6 (cbrt.f64 (sin.f64 lambda1))) (.f64 lambda2 lambda2))))
(-.f64 (cbrt.f64 (sin.f64 lambda1)) (fma.f64 1/6 (.f64 (cbrt.f64 (sin.f64 lambda1)) (.f64 lambda2 lambda2)) (.f64 1/72 (.f64 (cbrt.f64 (sin.f64 lambda1)) (pow.f64 lambda2 4)))))
(-.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 (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 (.f64 1/6 (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 1/6 (.f64 (cbrt.f64 (sin.f64 lambda1)) (.f64 lambda2 lambda2)) (.f64 1/72 (*.f64 (cbrt.f64 (sin.f64 lambda1)) (pow.f64 lambda2 4))))))
(-.f64 (.f64 (+.f64 (.f64 (.f64 lambda2 lambda2) -1/6) 1) (cbrt.f64 (sin.f64 lambda1))) (.f64 (cbrt.f64 (sin.f64 lambda1)) (+.f64 (.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)))
(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 1/3 (.f64 (*.f64 lambda2 lambda2) (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2)))))
(.f64 (+.f64 (.f64 (*.f64 -1/3 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 (pow.f64 lambda2 6) (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)) (fma.f64 1/3 (.f64 (.f64 lambda2 lambda2) (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2))) (.f64 (pow.f64 lambda2 6) (.f64 (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2)) 1/405))))
(-.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 (pow.f64 lambda2 6) 1/405))))
(-.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 (pow.f64 lambda2 6) (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2))) (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 (pow.f64 lambda2 6) (cbrt.f64 (pow.f64 (sin.f64 lambda1) 2))) (fma.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 (pow.f64 lambda2 8) 1/1701)))))
(-.f64 (.f64 (+.f64 (.f64 (.f64 -1/3 lambda2) lambda2) 1) (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 (pow.f64 lambda2 6) 1/405))))
(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)))
(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 (sin.f64 lambda1) 1/2))))
(-.f64 (sin.f64 lambda1) (.f64 lambda2 (+.f64 (.f64 lambda2 (*.f64 (sin.f64 lambda1) 1/2)) (cos.f64 lambda1))))
(-.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 (sin.f64 lambda1) 1/2))))
(+.f64 (sin.f64 lambda1) (+.f64 (.f64 (cos.f64 lambda1) (-.f64 (.f64 1/6 (pow.f64 lambda2 3)) lambda2)) (.f64 (.f64 -1/2 lambda2) (*.f64 (sin.f64 lambda1) lambda2))))
(+.f64 (sin.f64 lambda1) (fma.f64 (cos.f64 lambda1) (-.f64 (.f64 1/6 (pow.f64 lambda2 3)) lambda2) (.f64 (.f64 -1/2 lambda2) (.f64 (sin.f64 lambda1) lambda2))))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))
(*.f64 -1 (sin.f64 lambda2))
(neg.f64 (sin.f64 lambda2))
(-.f64 (.f64 1/2 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 2))) (sin.f64 lambda2))
(fma.f64 1/2 (.f64 (sin.f64 lambda2) (.f64 lambda1 lambda1)) (neg.f64 (sin.f64 lambda2)))
(-.f64 (.f64 (sin.f64 lambda2) (.f64 (*.f64 lambda1 lambda1) 1/2)) (sin.f64 lambda2))
(.f64 (sin.f64 lambda2) (+.f64 (.f64 lambda1 (*.f64 lambda1 1/2)) -1))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (sin.f64 lambda2) (cos.f64 lambda1)))
(-.f64 (.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))

prune2.0s (7.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	748	7	755
Fresh	10	6	16
Picked	1	0	1
Done	0	0	0
Total	759	13	772

Error

0.1b

Counts

772 → 13

Alt Table

Status	Error	Program
	8.0b	(atan2.f64 (.f64 (+.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 2)) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	0.3b	(atan2.f64 (.f64 (+.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 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (/.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)))))))))
	37.3b	(atan2.f64 (.f64 (+.f64 (fma.f64 (cos.f64 lambda2) (sin.f64 lambda1) (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 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)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	35.9b	(atan2.f64 (.f64 (+.f64 (+.f64 (fma.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) 2) (pow.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 1/6)) (pow.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 1/6) (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 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	25.0b	(atan2.f64 (.f64 (log.f64 (exp.f64 (sin.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	6.4b	(atan2.f64 (.f64 (+.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 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))
▶	0.3b	(atan2.f64 (.f64 (+.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 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	0.3b	(atan2.f64 (.f64 (+.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 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (/.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)))))))
	25.0b	(atan2.f64 (.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	11.5b	(atan2.f64 (.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (sin.f64 lambda1) 2) 1/3) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	12.7b	(atan2.f64 (.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 3) (pow.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (+.f64 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	35.7b	(atan2.f64 (.f64 (+.f64 (fma.f64 (sqrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (sqrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	13.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 phi1)) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))))

Compiler

Compiled 59218 to 13209 computations (77.7% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(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 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1)))
✓	0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
	0.5b	(.f64 (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1))))
	0.6b	(cbrt.f64 (*.f64 (cos.f64 lambda2) (sin.f64 lambda1)))

series5.0ms (0%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	lambda1	@	0	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
1.0ms	lambda2	@	0	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
1.0ms	lambda2	@	-inf	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.0ms	lambda1	@	inf	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.0ms	lambda1	@	-inf	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

rewrite34.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

665×	`pow1_binary64`
614×	`add-log-exp_binary64`
614×	`log1p-expm1-u_binary64`
614×	`expm1-log1p-u_binary64`
66×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	123	8
2	1602	8

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify36.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

487×	`fma-neg_binary64`
436×	`distribute-rgt-neg-in_binary64`
383×	`distribute-lft-neg-in_binary64`
284×	`*-commutative_binary64`
240×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	204
1	129	196
2	403	172
3	1572	148
4	3386	148

Stop Event

1×	node limit

Counts

27 → 34

Calls

Call 1

Inputs
(*.f64 (sin.f64 lambda2) lambda1)
(-.f64 (.f64 (sin.f64 lambda2) lambda1) (.f64 1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))
(-.f64 (+.f64 (.f64 1/120 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 5))) (.f64 (sin.f64 lambda2) lambda1)) (.f64 1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))
(-.f64 (+.f64 (.f64 1/120 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 5))) (.f64 (sin.f64 lambda2) lambda1)) (+.f64 (.f64 1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (.f64 1/5040 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 7)))))
(*.f64 (sin.f64 lambda1) lambda2)
(-.f64 (.f64 (sin.f64 lambda1) lambda2) (.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))
(-.f64 (+.f64 (.f64 1/120 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 5))) (.f64 (sin.f64 lambda1) lambda2)) (.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))
(-.f64 (+.f64 (.f64 1/120 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 5))) (.f64 (sin.f64 lambda1) lambda2)) (+.f64 (.f64 1/5040 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 7))) (.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)))))

Outputs
(*.f64 (sin.f64 lambda2) lambda1)
(-.f64 (.f64 (sin.f64 lambda2) lambda1) (.f64 1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))
(+.f64 (.f64 (sin.f64 lambda2) lambda1) (.f64 -1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))
(fma.f64 (sin.f64 lambda2) lambda1 (.f64 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) -1/6))
(.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 (pow.f64 lambda1 3) -1/6)))
(-.f64 (+.f64 (.f64 1/120 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 5))) (.f64 (sin.f64 lambda2) lambda1)) (.f64 1/6 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))
(+.f64 (fma.f64 1/120 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 5)) (.f64 (sin.f64 lambda2) lambda1)) (.f64 -1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))))
(fma.f64 1/120 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 5)) (fma.f64 (sin.f64 lambda2) lambda1 (.f64 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) -1/6)))
(fma.f64 (sin.f64 lambda2) (.f64 1/120 (pow.f64 lambda1 5)) (.f64 (sin.f64 lambda2) (+.f64 lambda1 (*.f64 (pow.f64 lambda1 3) -1/6))))
(.f64 (sin.f64 lambda2) (+.f64 lambda1 (fma.f64 1/120 (pow.f64 lambda1 5) (.f64 (pow.f64 lambda1 3) -1/6))))
(-.f64 (+.f64 (.f64 1/120 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 5))) (.f64 (sin.f64 lambda2) lambda1)) (+.f64 (.f64 1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3))) (.f64 1/5040 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 7)))))
(-.f64 (fma.f64 1/120 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 5)) (.f64 (sin.f64 lambda2) lambda1)) (fma.f64 1/6 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 3)) (.f64 1/5040 (*.f64 (sin.f64 lambda2) (pow.f64 lambda1 7)))))
(-.f64 (fma.f64 (sin.f64 lambda2) lambda1 (.f64 (pow.f64 lambda1 5) (.f64 (sin.f64 lambda2) 1/120))) (fma.f64 1/5040 (.f64 (sin.f64 lambda2) (pow.f64 lambda1 7)) (.f64 (sin.f64 lambda2) (*.f64 (pow.f64 lambda1 3) 1/6))))
(-.f64 (.f64 (sin.f64 lambda2) (+.f64 lambda1 (.f64 1/120 (pow.f64 lambda1 5)))) (.f64 (sin.f64 lambda2) (+.f64 (.f64 1/6 (pow.f64 lambda1 3)) (*.f64 1/5040 (pow.f64 lambda1 7)))))
(.f64 (sin.f64 lambda2) (+.f64 (+.f64 lambda1 (.f64 1/120 (pow.f64 lambda1 5))) (fma.f64 (pow.f64 lambda1 3) -1/6 (*.f64 (pow.f64 lambda1 7) -1/5040))))
(.f64 (sin.f64 lambda2) (+.f64 lambda1 (+.f64 (.f64 1/120 (pow.f64 lambda1 5)) (fma.f64 (pow.f64 lambda1 3) -1/6 (*.f64 (pow.f64 lambda1 7) -1/5040)))))
(*.f64 (sin.f64 lambda1) lambda2)
(*.f64 lambda2 (sin.f64 lambda1))
(-.f64 (.f64 (sin.f64 lambda1) lambda2) (.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))
(+.f64 (.f64 lambda2 (sin.f64 lambda1)) (.f64 -1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))
(fma.f64 lambda2 (sin.f64 lambda1) (.f64 (.f64 -1/6 (pow.f64 lambda2 3)) (sin.f64 lambda1)))
(.f64 (sin.f64 lambda1) (+.f64 lambda2 (.f64 (pow.f64 lambda2 3) -1/6)))
(-.f64 (+.f64 (.f64 1/120 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 5))) (.f64 (sin.f64 lambda1) lambda2)) (.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))
(+.f64 (fma.f64 1/120 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 5)) (.f64 lambda2 (sin.f64 lambda1))) (.f64 -1/6 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 3))))
(fma.f64 1/120 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 5)) (fma.f64 lambda2 (sin.f64 lambda1) (.f64 (*.f64 -1/6 (pow.f64 lambda2 3)) (sin.f64 lambda1))))
(fma.f64 lambda2 (sin.f64 lambda1) (.f64 (sin.f64 lambda1) (+.f64 (.f64 1/120 (pow.f64 lambda2 5)) (*.f64 (pow.f64 lambda2 3) -1/6))))
(.f64 (sin.f64 lambda1) (+.f64 lambda2 (fma.f64 1/120 (pow.f64 lambda2 5) (.f64 (pow.f64 lambda2 3) -1/6))))
(-.f64 (+.f64 (.f64 1/120 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 5))) (.f64 (sin.f64 lambda1) lambda2)) (+.f64 (.f64 1/5040 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 7))) (.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)))))
(-.f64 (fma.f64 1/120 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 5)) (.f64 lambda2 (sin.f64 lambda1))) (fma.f64 1/5040 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 7)) (.f64 1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)))))
(-.f64 (fma.f64 lambda2 (sin.f64 lambda1) (.f64 1/120 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 5)))) (fma.f64 1/6 (.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)) (.f64 (sin.f64 lambda1) (*.f64 (pow.f64 lambda2 7) 1/5040))))
(-.f64 (.f64 (sin.f64 lambda1) (+.f64 (.f64 1/120 (pow.f64 lambda2 5)) lambda2)) (.f64 (sin.f64 lambda1) (+.f64 (.f64 1/6 (pow.f64 lambda2 3)) (*.f64 1/5040 (pow.f64 lambda2 7)))))
(.f64 (sin.f64 lambda1) (+.f64 (+.f64 lambda2 (.f64 (pow.f64 lambda2 3) -1/6)) (fma.f64 1/120 (pow.f64 lambda2 5) (*.f64 (pow.f64 lambda2 7) -1/5040))))
(.f64 (sin.f64 lambda1) (+.f64 (fma.f64 1/120 (pow.f64 lambda2 5) (.f64 (pow.f64 lambda2 3) -1/6)) (+.f64 lambda2 (*.f64 (pow.f64 lambda2 7) -1/5040))))

prune1.9s (7.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	743	5	748
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	749	12	761

Error

0.0b

Counts

761 → 12

Alt Table

Status	Error	Program
	35.7b	(atan2.f64 (.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 lambda1)) 2) (.f64 (cbrt.f64 (sin.f64 lambda1)) (cos.f64 lambda2)) (neg.f64 (.f64 (sqrt.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (sqrt.f64 (sin.f64 lambda2)))))) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 lambda2))) (.f64 (cos.f64 lambda1) (sqrt.f64 (sin.f64 lambda2))) (.f64 (sqrt.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (sqrt.f64 (sin.f64 lambda2)))))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	25.0b	(atan2.f64 (.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
▶	0.2b	(atan2.f64 (.f64 (+.f64 (+.f64 (fma.f64 (sin.f64 lambda1) (cos.f64 lambda2) (neg.f64 (.f64 (cbrt.f64 (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 lambda1))) (.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2)) (.f64 (cbrt.f64 (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2))))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	25.0b	(atan2.f64 (.f64 (log.f64 (exp.f64 (sin.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	0.3b	(atan2.f64 (.f64 (+.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 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (/.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)))))))
	2.0b	(atan2.f64 (.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 2) 1/3) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	13.1b	(atan2.f64 (.f64 (+.f64 (+.f64 (fma.f64 (.f64 (sin.f64 lambda1) (pow.f64 (cbrt.f64 (cos.f64 lambda2)) 2)) (cbrt.f64 (cos.f64 lambda2)) (neg.f64 (.f64 (.f64 (sqrt.f64 (cos.f64 lambda1)) (sin.f64 lambda2)) (sqrt.f64 (cos.f64 lambda1))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (cos.f64 lambda1)) (sin.f64 lambda2))) (sqrt.f64 (cos.f64 lambda1)) (.f64 (.f64 (sqrt.f64 (cos.f64 lambda1)) (sin.f64 lambda2)) (sqrt.f64 (cos.f64 lambda1))))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	12.7b	(atan2.f64 (.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 3) (pow.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (+.f64 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	35.7b	(atan2.f64 (.f64 (+.f64 (fma.f64 (sqrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (sqrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	1.9b	(atan2.f64 (.f64 (+.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 2)) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	6.4b	(atan2.f64 (.f64 (+.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 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))
	13.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 phi1)) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))))

Compiler

Compiled 63030 to 13128 computations (79.2% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
✓	0.2b	(pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2)
✓	0.3b	(cbrt.f64 (cos.f64 lambda1))
✓	29.9b	(fma.f64 (neg.f64 (cbrt.f64 (cos.f64 lambda1))) (.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2)) (.f64 (cbrt.f64 (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2))))

series52.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	lambda1	@	0	(fma.f64 (neg.f64 (cbrt.f64 (cos.f64 lambda1))) (.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2)) (.f64 (cbrt.f64 (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2))))
9.0ms	lambda2	@	0	(fma.f64 (neg.f64 (cbrt.f64 (cos.f64 lambda1))) (.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2)) (.f64 (cbrt.f64 (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2))))
8.0ms	lambda1	@	-inf	(fma.f64 (neg.f64 (cbrt.f64 (cos.f64 lambda1))) (.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2)) (.f64 (cbrt.f64 (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2))))
6.0ms	lambda1	@	inf	(fma.f64 (neg.f64 (cbrt.f64 (cos.f64 lambda1))) (.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2)) (.f64 (cbrt.f64 (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2))))
1.0ms	lambda2	@	inf	(fma.f64 (neg.f64 (cbrt.f64 (cos.f64 lambda1))) (.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2)) (.f64 (cbrt.f64 (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2))))

rewrite166.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

790×	`prod-diff_binary64`
272×	`egg-rr`
189×	`expm1-udef_binary64`
189×	`log1p-udef_binary64`
124×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	244	31
2	2884	29

Stop Event

1×	node limit

Counts

3 → 328

Calls

Call 1

Inputs

(fma.f64 (neg.f64 (cbrt.f64 (cos.f64 lambda1))) (*.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2)) (*.f64 (cbrt.f64 (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2))))

(cbrt.f64 (cos.f64 lambda1))

(pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (cos.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (cbrt.f64 (cos.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 lambda1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 lambda1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))) 2) (neg.f64 (cbrt.f64 (cbrt.f64 (cos.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 lambda1) 1/6) (pow.f64 (cos.f64 lambda1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 lambda1) 1/6) (neg.f64 (pow.f64 (cos.f64 lambda1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (cbrt.f64 (cos.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 lambda1)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 lambda1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cos.f64 lambda1) 1/6)) (pow.f64 (cos.f64 lambda1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cos.f64 lambda1) 1/6)) (pow.f64 (cos.f64 lambda1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (cos.f64 lambda1)) (+.f64 0 (+.f64 (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2) (*.f64 0 (cbrt.f64 (cos.f64 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2)) (cbrt.f64 (cos.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 lambda1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 lambda1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 lambda1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cbrt.f64 (cos.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cos.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 lambda1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 lambda1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 lambda1))))))))

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

simplify45.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

606×	`associate-l_binary64`
544×	`fma-def_binary64`
410×	`cancel-sign-sub-inv_binary64`
381×	`unswap-sqr_binary64`
270×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	232
1	107	232
2	289	228
3	1029	220
4	4359	220

Stop Event

1×	node limit

Counts

376 → 344

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
1
(-.f64 1 (*.f64 1/6 (pow.f64 lambda1 2)))
(-.f64 1 (+.f64 (.f64 1/72 (pow.f64 lambda1 4)) (.f64 1/6 (pow.f64 lambda1 2))))
(-.f64 1 (+.f64 (.f64 23/6480 (pow.f64 lambda1 6)) (+.f64 (.f64 1/72 (pow.f64 lambda1 4)) (*.f64 1/6 (pow.f64 lambda1 2)))))
(pow.f64 (cos.f64 lambda1) 1/3)
(pow.f64 (cos.f64 lambda1) 1/3)
(pow.f64 (cos.f64 lambda1) 1/3)
(pow.f64 (cos.f64 lambda1) 1/3)
(pow.f64 (cos.f64 lambda1) 1/3)
(pow.f64 (cos.f64 lambda1) 1/3)
(pow.f64 (cos.f64 lambda1) 1/3)
(pow.f64 (cos.f64 lambda1) 1/3)
1
(-.f64 1 (*.f64 1/3 (pow.f64 lambda1 2)))
(-.f64 1 (+.f64 (.f64 1/405 (pow.f64 lambda1 6)) (.f64 1/3 (pow.f64 lambda1 2))))
(-.f64 1 (+.f64 (.f64 1/1701 (pow.f64 lambda1 8)) (+.f64 (.f64 1/405 (pow.f64 lambda1 6)) (*.f64 1/3 (pow.f64 lambda1 2)))))
(pow.f64 (pow.f64 (cos.f64 lambda1) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 lambda1) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 lambda1) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 lambda1) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 lambda1) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 lambda1) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 lambda1) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 lambda1) 2) 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
1
(-.f64 1 (*.f64 1/6 (pow.f64 lambda1 2)))
(+.f64 1 (.f64 -1/6 (.f64 lambda1 lambda1)))
(+.f64 1 (.f64 (.f64 lambda1 lambda1) -1/6))
(fma.f64 (*.f64 lambda1 lambda1) -1/6 1)
(-.f64 1 (+.f64 (.f64 1/72 (pow.f64 lambda1 4)) (.f64 1/6 (pow.f64 lambda1 2))))
(-.f64 1 (fma.f64 1/72 (pow.f64 lambda1 4) (.f64 1/6 (.f64 lambda1 lambda1))))
(+.f64 (.f64 (pow.f64 lambda1 4) -1/72) (fma.f64 (.f64 lambda1 lambda1) -1/6 1))
(fma.f64 (pow.f64 lambda1 4) -1/72 (fma.f64 (*.f64 lambda1 lambda1) -1/6 1))
(-.f64 1 (+.f64 (.f64 23/6480 (pow.f64 lambda1 6)) (+.f64 (.f64 1/72 (pow.f64 lambda1 4)) (*.f64 1/6 (pow.f64 lambda1 2)))))
(-.f64 1 (fma.f64 23/6480 (pow.f64 lambda1 6) (fma.f64 1/72 (pow.f64 lambda1 4) (.f64 1/6 (.f64 lambda1 lambda1)))))
(-.f64 (fma.f64 (.f64 lambda1 lambda1) -1/6 1) (fma.f64 1/72 (pow.f64 lambda1 4) (.f64 23/6480 (pow.f64 lambda1 6))))
(fma.f64 (pow.f64 lambda1 6) -23/6480 (fma.f64 (pow.f64 lambda1 4) -1/72 (fma.f64 (*.f64 lambda1 lambda1) -1/6 1)))
(pow.f64 (cos.f64 lambda1) 1/3)
(cbrt.f64 (cos.f64 lambda1))
(pow.f64 (cos.f64 lambda1) 1/3)
(cbrt.f64 (cos.f64 lambda1))
(pow.f64 (cos.f64 lambda1) 1/3)
(cbrt.f64 (cos.f64 lambda1))
(pow.f64 (cos.f64 lambda1) 1/3)
(cbrt.f64 (cos.f64 lambda1))
(pow.f64 (cos.f64 lambda1) 1/3)
(cbrt.f64 (cos.f64 lambda1))
(pow.f64 (cos.f64 lambda1) 1/3)
(cbrt.f64 (cos.f64 lambda1))
(pow.f64 (cos.f64 lambda1) 1/3)
(cbrt.f64 (cos.f64 lambda1))
(pow.f64 (cos.f64 lambda1) 1/3)
(cbrt.f64 (cos.f64 lambda1))
1
(-.f64 1 (*.f64 1/3 (pow.f64 lambda1 2)))
(+.f64 1 (.f64 -1/3 (.f64 lambda1 lambda1)))
(+.f64 1 (.f64 (.f64 lambda1 lambda1) -1/3))
(fma.f64 (*.f64 lambda1 lambda1) -1/3 1)
(-.f64 1 (+.f64 (.f64 1/405 (pow.f64 lambda1 6)) (.f64 1/3 (pow.f64 lambda1 2))))
(-.f64 1 (fma.f64 1/405 (pow.f64 lambda1 6) (.f64 (.f64 lambda1 lambda1) 1/3)))
(-.f64 1 (fma.f64 (pow.f64 lambda1 6) 1/405 (.f64 (.f64 lambda1 lambda1) 1/3)))
(+.f64 (.f64 (pow.f64 lambda1 6) -1/405) (fma.f64 (.f64 lambda1 lambda1) -1/3 1))
(fma.f64 (pow.f64 lambda1 6) -1/405 (fma.f64 (*.f64 lambda1 lambda1) -1/3 1))
(-.f64 1 (+.f64 (.f64 1/1701 (pow.f64 lambda1 8)) (+.f64 (.f64 1/405 (pow.f64 lambda1 6)) (*.f64 1/3 (pow.f64 lambda1 2)))))
(-.f64 1 (fma.f64 1/1701 (pow.f64 lambda1 8) (fma.f64 1/405 (pow.f64 lambda1 6) (.f64 (.f64 lambda1 lambda1) 1/3))))
(-.f64 1 (fma.f64 1/1701 (pow.f64 lambda1 8) (fma.f64 (pow.f64 lambda1 6) 1/405 (.f64 (.f64 lambda1 lambda1) 1/3))))
(-.f64 1 (fma.f64 (pow.f64 lambda1 6) 1/405 (fma.f64 lambda1 (.f64 lambda1 1/3) (.f64 1/1701 (pow.f64 lambda1 8)))))
(fma.f64 (pow.f64 lambda1 8) -1/1701 (fma.f64 (pow.f64 lambda1 6) -1/405 (fma.f64 (*.f64 lambda1 lambda1) -1/3 1)))
(pow.f64 (pow.f64 (cos.f64 lambda1) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 lambda1) 2))
(pow.f64 (pow.f64 (cos.f64 lambda1) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 lambda1) 2))
(pow.f64 (pow.f64 (cos.f64 lambda1) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 lambda1) 2))
(pow.f64 (pow.f64 (cos.f64 lambda1) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 lambda1) 2))
(pow.f64 (pow.f64 (cos.f64 lambda1) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 lambda1) 2))
(pow.f64 (pow.f64 (cos.f64 lambda1) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 lambda1) 2))
(pow.f64 (pow.f64 (cos.f64 lambda1) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 lambda1) 2))
(pow.f64 (pow.f64 (cos.f64 lambda1) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 lambda1) 2))

prune3.5s (13.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	650	2	652
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	650	14	664

Error

0.0b

Counts

664 → 14

Alt Table

Status	Error	Program
	35.7b	(atan2.f64 (.f64 (+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 lambda1)) 2) (.f64 (cbrt.f64 (sin.f64 lambda1)) (cos.f64 lambda2)) (neg.f64 (.f64 (sqrt.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (sqrt.f64 (sin.f64 lambda2)))))) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 lambda2))) (.f64 (cos.f64 lambda1) (sqrt.f64 (sin.f64 lambda2))) (.f64 (sqrt.f64 (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (sqrt.f64 (sin.f64 lambda2)))))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	25.0b	(atan2.f64 (.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (-.f64 lambda1 lambda2))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
✓	0.2b	(atan2.f64 (.f64 (+.f64 (+.f64 (fma.f64 (sin.f64 lambda1) (cos.f64 lambda2) (neg.f64 (.f64 (cbrt.f64 (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 lambda1))) (.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2)) (.f64 (cbrt.f64 (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2))))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	25.0b	(atan2.f64 (.f64 (log.f64 (exp.f64 (sin.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	35.7b	(atan2.f64 (.f64 (+.f64 (fma.f64 (sqrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (sqrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	34.1b	(atan2.f64 (.f64 (+.f64 (+.f64 (fma.f64 (sin.f64 lambda1) (cos.f64 lambda2) (neg.f64 (.f64 (cbrt.f64 (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2))))) (+.f64 (fma.f64 (sqrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (sqrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (neg.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))) (.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))) (.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))) 2) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))) (.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))) 2))))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	1.9b	(atan2.f64 (.f64 (+.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 2)) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	0.4b	(atan2.f64 (.f64 (+.f64 (+.f64 (fma.f64 (sin.f64 lambda1) (cos.f64 lambda2) (neg.f64 (.f64 (cbrt.f64 (cos.f64 lambda1)) (.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2))))) (+.f64 (fma.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 2) (neg.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))) (.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))) 2)))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))) (.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))) 2) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))) (.f64 (sin.f64 lambda2) (pow.f64 (cbrt.f64 (cos.f64 lambda1)) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 lambda1))) 2))))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	0.3b	(atan2.f64 (.f64 (+.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 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (/.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)))))))
	2.0b	(atan2.f64 (.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 2) 1/3) (cbrt.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (neg.f64 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	13.1b	(atan2.f64 (.f64 (+.f64 (+.f64 (fma.f64 (.f64 (sin.f64 lambda1) (pow.f64 (cbrt.f64 (cos.f64 lambda2)) 2)) (cbrt.f64 (cos.f64 lambda2)) (neg.f64 (.f64 (.f64 (sqrt.f64 (cos.f64 lambda1)) (sin.f64 lambda2)) (sqrt.f64 (cos.f64 lambda1))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (cos.f64 lambda1)) (sin.f64 lambda2))) (sqrt.f64 (cos.f64 lambda1)) (.f64 (.f64 (sqrt.f64 (cos.f64 lambda1)) (sin.f64 lambda2)) (sqrt.f64 (cos.f64 lambda1))))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))
	12.7b	(atan2.f64 (.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) 3) (pow.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda2) (sin.f64 lambda1))) (+.f64 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (.f64 (cos.f64 lambda1) (sin.f64 lambda2)))))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
	6.4b	(atan2.f64 (.f64 (+.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 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (fma.f64 (neg.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (.f64 (.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))
	13.8b	(atan2.f64 (.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)) (-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 phi1)) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))))

Compiler

Compiled 70583 to 20736 computations (70.6% saved)

regimes1.7s (6.6%)

Accuracy

Total 0.1b remaining (52.3%)

Threshold costs 0.1b (52.3%)

Counts

292 → 1

Compiler

Compiled 18146 to 3784 computations (79.1% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary64`
11×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`distribute-rgt-neg-in_binary64`
8×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	84
1	59	84
2	89	84
3	104	84
4	114	84
5	117	84

Stop Event

1×

saturated

Calls

Call 1

Inputs

(atan2.f64 (*.f64 (+.f64 (-.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))) (fma.f64 (neg.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (*.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))

Outputs

(atan2.f64 (*.f64 (+.f64 (-.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))) (fma.f64 (neg.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) 1 (*.f64 (*.f64 (cos.f64 lambda1) (sin.f64 lambda2)) 1))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (sin.f64 phi1) (cos.f64 phi2)) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))

(atan2.f64 (*.f64 (+.f64 (-.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))) (fma.f64 (*.f64 (neg.f64 (cos.f64 lambda1)) (sin.f64 lambda2)) 1 (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))

(atan2.f64 (*.f64 (+.f64 (-.f64 (*.f64 (sin.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda2) (cos.f64 lambda1))) (fma.f64 (*.f64 (sin.f64 lambda2) (neg.f64 (cos.f64 lambda1))) 1 (*.f64 (sin.f64 lambda2) (cos.f64 lambda1)))) (cos.f64 phi2)) (-.f64 (*.f64 (cos.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (sin.f64 phi1)) (fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))

end518.0ms (2%)

Stop Event

1×

fuel

Compiler

Compiled 1202 to 577 computations (52% saved)

Details

analyze3.7s (13.9%)

sample11.5s (43.6%)

preprocess57.0ms (0.2%)

simplify23.0ms (0.1%)

prune3.0ms (0%)

localize21.0ms (0.1%)

series26.0ms (0.1%)

rewrite70.0ms (0.3%)

simplify76.0ms (0.3%)

prune388.0ms (1.5%)

localize37.0ms (0.1%)

series46.0ms (0.2%)

rewrite217.0ms (0.8%)

simplify87.0ms (0.3%)

prune2.0s (7.8%)

localize41.0ms (0.2%)

series5.0ms (0%)

rewrite34.0ms (0.1%)

simplify36.0ms (0.1%)

prune1.9s (7.4%)

localize45.0ms (0.2%)

series52.0ms (0.2%)

rewrite166.0ms (0.6%)

simplify45.0ms (0.2%)

prune3.5s (13.3%)

regimes1.7s (6.6%)

simplify4.0ms (0%)

end518.0ms (2%)

Profiling