Details

analyze4.3s (18.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
1.6%	98.2%	0.2%	11
1.6%	98.2%	0.2%	12
13.2%	86.5%	0.2%	13
13.2%	86.5%	0.2%	14

Compiler

Compiled 39 to 24 computations (38.5% saved)

sample10.4s (44.8%)

Results

7.7s	4093×	body	1024	valid
1.3s	1313×	body	512	valid
782.0ms	2302×	body	128	valid
365.0ms	539×	body	256	valid
39.0ms	9×	body	2048	valid

Compiler

Compiled 116 to 71 computations (38.8% saved)

simplify54.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	53
1	40	53
2	66	53
3	85	53
4	99	53
5	133	53
6	173	53
7	217	53
8	281	53
9	305	53
10	362	53
11	407	53
12	468	53
13	604	53
14	728	53
15	836	53
16	943	53
17	891	53
18	893	53
19	899	53
20	904	53
21	841	53

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

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

Status

Error

Program

▶

0.1b

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

Compiler

Compiled 144 to 76 computations (47.2% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))
✓	0.3b	(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))
✓	0.3b	(asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))
✓	0.5b	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))

series141.0ms (0.6%)

Counts

4 → 144

Calls

4 calls:

68.0ms	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))
52.0ms	(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))
13.0ms	(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))
8.0ms	(asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))

rewrite11.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64`
6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`

Counts

4 → 60

Calls

4 calls:

4.0ms	(.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))
3.0ms	(-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))
0.0ms	(asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))
0.0ms	(atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))

simplify227.0ms (1%)

Algorithm

1×	egg-herbie

Rules

804×	`cancel-sign-sub-inv_binary64`
566×	`sub-neg_binary64`
377×	`fma-neg_binary64`
297×	`distribute-rgt-neg-in_binary64`
271×	`neg-mul-1_binary64`

Counts

204 → 155

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	7799
1	544	7331
2	1716	7144
3	4136	7144
4	4827	7144
5	4948	7144

prune284.0ms (1.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	147	8	155
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	148	8	156

Error

0.0b

Counts

156 → 8

Alt Table

Status	Error	Program
	0.5b	(+.f64 lambda1 (.f64 (.f64 (cbrt.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))))))) (cbrt.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta)))))))))) (cbrt.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta)))))))))))
	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (log.f64 (/.f64 (exp.f64 (cos.f64 delta)) (exp.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))))
	3.3b	(+.f64 lambda1 (cbrt.f64 (pow.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta)))))))) 3)))
	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (expm1.f64 (log1p.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))))
	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (cos.f64 theta))))))))
	12.5b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (.f64 (cos.f64 phi1) (-.f64 (cos.f64 phi1) (.f64 (*.f64 (sin.f64 phi1) delta) (cos.f64 theta))))))
▶	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 (-.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))) (+.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))))
	25.9b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (+.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 delta)) (+.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 theta theta)) 1/2) (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 6)) 1/720))) (-.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi1)) (cos.f64 delta)) (.f64 (.f64 (sin.f64 phi1) (sin.f64 delta)) (+.f64 (cos.f64 phi1) (.f64 (*.f64 (cos.f64 phi1) (pow.f64 theta 4)) 1/24)))))))

Compiler

Compiled 7620 to 1586 computations (79.2% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cos.f64 delta) (cos.f64 delta))
✓	0.3b	(.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))
✓	0.3b	(/.f64 (-.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))) (+.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))
✓	0.4b	(-.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))

series1.2s (5.1%)

Counts

4 → 120

Calls

4 calls:

878.0ms	(/.f64 (-.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))) (+.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))
172.0ms	(-.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))
122.0ms	(.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))
5.0ms	(*.f64 (cos.f64 delta) (cos.f64 delta))

rewrite49.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`pow1_binary64`
20×	`add-cbrt-cube_binary64`
20×	`add-exp-log_binary64`
19×	`add-sqr-sqrt_binary64`
18×	`pow-prod-down_binary64`

Counts

4 → 134

Calls

4 calls:

10.0ms	(/.f64 (-.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))) (+.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))
7.0ms	(.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))
6.0ms	(-.f64 (.f64 (cos.f64 delta) (cos.f64 delta)) (.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))
3.0ms	(*.f64 (cos.f64 delta) (cos.f64 delta))

simplify426.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

568×	`fma-def_binary64`
466×	`times-frac_binary64`
244×	`*-commutative_binary64`
157×	`associate-r_binary64`
156×	`+-commutative_binary64`

Counts

254 → 279

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	716	23561
1	2351	22310
2	4845	22304
3	4961	22304

prune990.0ms (4.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	277	2	279
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	278	9	287

Error

0.0b

Counts

287 → 9

Alt Table

Status	Error	Program
	0.5b	(+.f64 lambda1 (.f64 (.f64 (cbrt.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))))))) (cbrt.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta)))))))))) (cbrt.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta)))))))))))
	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (log.f64 (/.f64 (exp.f64 (cos.f64 delta)) (exp.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))))
	3.3b	(+.f64 lambda1 (cbrt.f64 (pow.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta)))))))) 3)))
	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (expm1.f64 (log1p.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))))
	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (cos.f64 theta))))))))
	12.5b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (.f64 (cos.f64 phi1) (-.f64 (cos.f64 phi1) (.f64 (*.f64 (sin.f64 phi1) delta) (cos.f64 theta))))))
	0.2b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 delta) 2) (.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))))))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 delta) 2) (.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta)))))))))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 delta) 2) (.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))))))) (fma.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))) (cos.f64 delta))))))
▶	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 (fma.f64 (cos.f64 delta) (cos.f64 delta) (neg.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))) (+.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))))
	25.9b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (+.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 delta)) (+.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 theta theta)) 1/2) (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 6)) 1/720))) (-.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi1)) (cos.f64 delta)) (.f64 (.f64 (sin.f64 phi1) (sin.f64 delta)) (+.f64 (cos.f64 phi1) (.f64 (*.f64 (cos.f64 phi1) (pow.f64 theta 4)) 1/24)))))))

Compiler

Compiled 34528 to 7771 computations (77.5% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))
	0.3b	(.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))
✓	0.3b	(/.f64 (fma.f64 (cos.f64 delta) (cos.f64 delta) (neg.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))) (+.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))
✓	0.6b	(fma.f64 (cos.f64 delta) (cos.f64 delta) (neg.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))

series1.0s (4.4%)

Counts

2 → 72

Calls

2 calls:

859.0ms

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

169.0ms

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

rewrite11.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 41

Calls

2 calls:

3.0ms

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

0.0ms

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

simplify229.0ms (1%)

Algorithm

1×	egg-herbie

Rules

466×	`associate-/l*_binary64`
457×	`times-frac_binary64`
435×	`fma-def_binary64`
287×	`associate-/r*_binary64`
210×	`*-commutative_binary64`

Counts

113 → 122

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	564	17182
1	1920	16390
2	5025	16390

prune1.4s (6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	247	0	247
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	247	9	256

Error

0.0b

Counts

256 → 9

Alt Table

Status	Error	Program
	0.5b	(+.f64 lambda1 (.f64 (.f64 (cbrt.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))))))) (cbrt.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta)))))))))) (cbrt.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta)))))))))))
	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (log.f64 (/.f64 (exp.f64 (cos.f64 delta)) (exp.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))))
	3.3b	(+.f64 lambda1 (cbrt.f64 (pow.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta)))))))) 3)))
	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (expm1.f64 (log1p.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))))
▶	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (cos.f64 theta))))))))
	12.5b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (.f64 (cos.f64 phi1) (-.f64 (cos.f64 phi1) (.f64 (*.f64 (sin.f64 phi1) delta) (cos.f64 theta))))))
	0.2b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 delta) 2) (.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))))))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 delta) 2) (.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta)))))))))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 delta) 2) (.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))))))) (fma.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))) (cos.f64 delta))))))
✓	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 (fma.f64 (cos.f64 delta) (cos.f64 delta) (neg.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))) (+.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))))
	25.9b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (+.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 delta)) (+.f64 (.f64 (.f64 (cos.f64 phi1) (.f64 theta theta)) 1/2) (.f64 (.f64 (cos.f64 phi1) (pow.f64 theta 6)) 1/720))) (-.f64 (.f64 (.f64 (cos.f64 phi1) (cos.f64 phi1)) (cos.f64 delta)) (.f64 (.f64 (sin.f64 phi1) (sin.f64 delta)) (+.f64 (cos.f64 phi1) (.f64 (*.f64 (cos.f64 phi1) (pow.f64 theta 4)) 1/24)))))))

Compiler

Compiled 30780 to 7514 computations (75.6% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (cos.f64 theta)))
✓	0.2b	(.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi1) (cos.f64 theta))))
✓	0.2b	(pow.f64 (sin.f64 phi1) 2)
✓	0.5b	(-.f64 (cos.f64 delta) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (cos.f64 theta))))))

series134.0ms (0.6%)

Counts

4 → 36

Calls

4 calls:

73.0ms	(-.f64 (cos.f64 delta) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
41.0ms	(.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi1) (cos.f64 theta))))
16.0ms	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (cos.f64 theta)))
4.0ms	(pow.f64 (sin.f64 phi1) 2)

rewrite28.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-exp-log_binary64`
19×	`pow1_binary64`
18×	`add-cbrt-cube_binary64`
18×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`

Counts

4 → 97

Calls

4 calls:

8.0ms	(.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi1) (cos.f64 theta))))
7.0ms	(-.f64 (cos.f64 delta) (+.f64 (.f64 (pow.f64 (sin.f64 phi1) 2) (cos.f64 delta)) (.f64 (sin.f64 delta) (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (cos.f64 theta))))))
5.0ms	(.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (cos.f64 theta)))
2.0ms	(pow.f64 (sin.f64 phi1) 2)

simplify104.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

547×	`fma-neg_binary64`
445×	`associate-r_binary64`
404×	`distribute-rgt-neg-in_binary64`
367×	`distribute-lft-neg-in_binary64`
362×	`associate-l_binary64`

Counts

133 → 181

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	4632
1	865	3768
2	3035	3479
3	5127	3479

prune555.0ms (2.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	179	2	181
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	183	7	190

Error

0.0b

Counts

190 → 7

Alt Table

Status	Error	Program
	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (log.f64 (exp.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi1)) (cos.f64 delta) (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (cos.f64 theta))) (neg.f64 (sin.f64 delta))))))))
✓	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 (fma.f64 (cos.f64 delta) (cos.f64 delta) (neg.f64 (.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))) (+.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))))))))
	0.5b	(+.f64 lambda1 (.f64 (.f64 (cbrt.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))))))) (cbrt.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta)))))))))) (cbrt.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta)))))))))))
	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (log.f64 (/.f64 (exp.f64 (cos.f64 delta)) (exp.f64 (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))))
	3.3b	(+.f64 lambda1 (cbrt.f64 (pow.f64 (atan2.f64 (.f64 (sin.f64 delta) (.f64 (cos.f64 phi1) (sin.f64 theta))) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta)))))))) 3)))
	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (expm1.f64 (log1p.f64 (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))))
	17.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (.f64 (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi1)) (cos.f64 delta) (.f64 (.f64 (sin.f64 phi1) (.f64 (cos.f64 phi1) (cos.f64 theta))) (neg.f64 (sin.f64 delta))))) (sqrt.f64 (fma.f64 (.f64 (cos.f64 phi1) (cos.f64 phi1)) (cos.f64 delta) (.f64 (.f64 (sin.f64 phi1) (*.f64 (cos.f64 phi1) (cos.f64 theta))) (neg.f64 (sin.f64 delta))))))))

Compiler

Compiled 9202 to 2668 computations (71% saved)

regimes1.3s (5.6%)

Accuracy

Total 0.0b remaining (52.6%)

Threshold costs 0.0b (52.6%)

Counts

117 → 1

Compiler

Compiled 42726 to 20755 computations (51.4% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
8×	`+-commutative_binary64`
7×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	51
1	37	51
2	44	51
3	56	51
4	69	51
5	78	51
6	84	51
7	86	51
8	85	51

end205.0ms (0.9%)

Compiler: Compiled 471 to 213 computations (54.8% saved)

Iter	Nodes	Cost
0	23	53
1	40	53
2	66	53
3	85	53
4	99	53
5	133	53
6	173	53
7	217	53
8	281	53
9	305	53
10	362	53
11	407	53
12	468	53
13	604	53
14	728	53
15	836	53
16	943	53
17	891	53
18	893	53
19	899	53
20	904	53
21	841	53

Iter	Nodes	Cost
0	23	53
1	40	53
2	66	53
3	85	53
4	99	53
5	133	53
6	173	53
7	217	53
8	281	53
9	305	53
10	362	53
11	407	53
12	468	53
13	604	53
14	728	53
15	836	53
16	943	53
17	891	53
18	893	53
19	899	53
20	904	53
21	841	53

Details

analyze4.3s (18.5%)

sample10.4s (44.8%)

simplify54.0ms (0.2%)

prune4.0ms (0%)

localize26.0ms (0.1%)

series141.0ms (0.6%)

rewrite11.0ms (0%)

simplify227.0ms (1%)

prune284.0ms (1.2%)

localize30.0ms (0.1%)

series1.2s (5.1%)

rewrite49.0ms (0.2%)

simplify426.0ms (1.8%)

prune990.0ms (4.3%)

localize31.0ms (0.1%)

series1.0s (4.4%)

rewrite11.0ms (0%)

simplify229.0ms (1%)

prune1.4s (6%)

localize24.0ms (0.1%)

series134.0ms (0.6%)

rewrite28.0ms (0.1%)

simplify104.0ms (0.5%)

prune555.0ms (2.4%)

regimes1.3s (5.6%)

simplify5.0ms (0%)

end205.0ms (0.9%)

Profiling

Iter	Nodes	Cost
0	23	53
1	40	53
2	66	53
3	85	53
4	99	53
5	133	53
6	173	53
7	217	53
8	281	53
9	305	53
10	362	53
11	407	53
12	468	53
13	604	53
14	728	53
15	836	53
16	943	53
17	891	53
18	893	53
19	899	53
20	904	53
21	841	53