Details

analyze4.7s (19.5%)

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)

sample10.6s (43.9%)

Infinites

0% of outputs are infinite.

Results

7.8s	4033×	body	1024	valid
1.5s	1445×	body	512	valid
705.0ms	2195×	body	128	valid
365.0ms	566×	body	256	valid
74.0ms	17×	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)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 theta) (sin.f64 delta))
✓	0.2b	(.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)))))))

series131.0ms (0.5%)

Counts

4 → 132

Calls

4 calls:

63.0ms	(-.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)))))))
51.0ms	(.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))))))
9.0ms	(*.f64 (sin.f64 theta) (sin.f64 delta))
8.0ms	(asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta))))

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 72

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))))))
4.0ms	(*.f64 (sin.f64 theta) (sin.f64 delta))
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))))

simplify199.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

447×	`fma-neg_binary64`
376×	`distribute-rgt-neg-in_binary64`
325×	`distribute-lft-neg-in_binary64`
257×	`associate-r_binary64`
241×	`neg-mul-1_binary64`

Counts

204 → 185

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	6113
1	696	5704
2	2227	5493
3	4796	5493
4	4989	5493
5	4924	5493

prune377.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	178	7	185
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	179	7	186

Error

0.0b

Counts

186 → 7

Alt Table

Status	Error	Program
	32.3b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 theta)) (.f64 (sqrt.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)))))))))
	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (.f64 (sin.f64 phi1) (.f64 (cbrt.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))) (cbrt.f64 (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))) (cbrt.f64 (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)) (cbrt.f64 (.f64 (.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))))))) (-.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)))))))) (-.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)) (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)))))))))))
	27.6b	(+.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)))))))
▶	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))))))))))
	0.2b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (.f64 (sin.f64 theta) (.f64 (cbrt.f64 (sin.f64 delta)) (cbrt.f64 (sin.f64 delta)))) (cbrt.f64 (sin.f64 delta))) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))

Compiler

Compiled 8632 to 1862 computations (78.4% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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))))))))
✓	0.3b	(-.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))))))))
	0.3b	(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 (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)))))))

series1.1s (4.4%)

Counts

3 → 108

Calls

3 calls:

812.0ms

(/.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))))))))

162.0ms

(-.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))))))))

100.0ms

(*.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)))))))

rewrite45.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`pow1_binary64`
17×	`add-cbrt-cube_binary64`
17×	`add-exp-log_binary64`
17×	`pow-prod-down_binary64`
16×	`sin-mult_binary64`

Counts

3 → 105

Calls

3 calls:

9.0ms

(/.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))))))))

9.0ms

(*.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))))))))

simplify356.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

541×	`fma-def_binary64`
508×	`associate-/l*_binary64`
466×	`times-frac_binary64`
237×	`*-commutative_binary64`
154×	`+-commutative_binary64`

Counts

213 → 232

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	685	23218
1	2291	22015
2	5448	22015

prune958.0ms (4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	289	3	292
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	291	8	299

Error

0.0b

Counts

299 → 8

Alt Table

Status	Error	Program
	32.3b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 theta)) (.f64 (sqrt.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)))))))))
	0.2b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (.f64 (/.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))))))) (.f64 (cbrt.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)))))))) (cbrt.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)))))))))) (/.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))))))) (cbrt.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 (-.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 (cbrt.f64 (pow.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)) (cbrt.f64 (.f64 (.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))))))) (-.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)))))))) (-.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)) (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)))))))))))
	27.6b	(+.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)))))))
	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 (-.f64 (pow.f64 (cos.f64 delta) 2) (fma.f64 (pow.f64 (sin.f64 delta) 2) (.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (pow.f64 (cos.f64 theta) 2) (pow.f64 (cos.f64 phi1) 2))) (fma.f64 2 (.f64 (sin.f64 delta) (.f64 (pow.f64 (sin.f64 phi1) 3) (.f64 (cos.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (.f64 (pow.f64 (cos.f64 delta) 2) (pow.f64 (sin.f64 phi1) 4))))) (+.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))))))))))
	0.2b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (.f64 (sin.f64 theta) (.f64 (cbrt.f64 (sin.f64 delta)) (cbrt.f64 (sin.f64 delta)))) (cbrt.f64 (sin.f64 delta))) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))

Compiler

Compiled 35786 to 7894 computations (77.9% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta))))
	0.4b	(.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)))))))
✓	0.6b	(pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta)))) 3)
✓	8.7b	(cbrt.f64 (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (.f64 (.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta)))) 3))

series65.0ms (0.3%)

Counts

3 → 108

Calls

3 calls:

51.0ms

(pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta)))) 3)

8.0ms

(cbrt.f64 (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta)))) 3))

6.0ms

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

rewrite7.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
6×	`cube-prod_binary64`

Counts

3 → 58

Calls

3 calls:

2.0ms

(cbrt.f64 (pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta)))) 3))

2.0ms

(pow.f64 (asin.f64 (fma.f64 (sin.f64 phi1) (cos.f64 delta) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 theta)) (sin.f64 delta)))) 3)

0.0ms

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

simplify166.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

714×	`sqr-pow_binary64`
571×	`fma-def_binary64`
430×	`*-commutative_binary64`
385×	`log-prod_binary64`
382×	`exp-prod_binary64`

Counts

166 → 75

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	73	4663
1	104	4374
2	267	4358
3	1139	4358
4	2155	4355
5	4017	4355
6	5029	4355

prune501.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	140	8	148

Error

0.0b

Counts

148 → 8

Alt Table

Status	Error	Program
	32.3b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 theta)) (.f64 (sqrt.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)))))))))
	0.2b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (.f64 (/.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))))))) (.f64 (cbrt.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)))))))) (cbrt.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)))))))))) (/.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))))))) (cbrt.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 (-.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 (cbrt.f64 (pow.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)) (cbrt.f64 (.f64 (.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))))))) (-.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)))))))) (-.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)) (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)))))))))))
	27.6b	(+.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)))))))
▶	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 (-.f64 (pow.f64 (cos.f64 delta) 2) (fma.f64 (pow.f64 (sin.f64 delta) 2) (.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (pow.f64 (cos.f64 theta) 2) (pow.f64 (cos.f64 phi1) 2))) (fma.f64 2 (.f64 (sin.f64 delta) (.f64 (pow.f64 (sin.f64 phi1) 3) (.f64 (cos.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (.f64 (pow.f64 (cos.f64 delta) 2) (pow.f64 (sin.f64 phi1) 4))))) (+.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))))))))))
	0.2b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (.f64 (sin.f64 theta) (.f64 (cbrt.f64 (sin.f64 delta)) (cbrt.f64 (sin.f64 delta)))) (cbrt.f64 (sin.f64 delta))) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))

Compiler

Compiled 14007 to 2853 computations (79.6% saved)

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 (pow.f64 (cos.f64 delta) 2) (fma.f64 (pow.f64 (sin.f64 delta) 2) (.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (pow.f64 (cos.f64 theta) 2) (pow.f64 (cos.f64 phi1) 2))) (fma.f64 2 (.f64 (sin.f64 delta) (.f64 (pow.f64 (sin.f64 phi1) 3) (.f64 (cos.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (*.f64 (pow.f64 (cos.f64 delta) 2) (pow.f64 (sin.f64 phi1) 4)))))
	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	(pow.f64 (sin.f64 phi1) 3)
✓	0.4b	(pow.f64 (sin.f64 phi1) 4)

series298.0ms (1.2%)

Counts

3 → 44

Calls

3 calls:

283.0ms

(-.f64 (pow.f64 (cos.f64 delta) 2) (fma.f64 (pow.f64 (sin.f64 delta) 2) (*.f64 (pow.f64 (sin.f64 phi1) 2) (*.f64 (pow.f64 (cos.f64 theta) 2) (pow.f64 (cos.f64 phi1) 2))) (fma.f64 2 (*.f64 (sin.f64 delta) (*.f64 (pow.f64 (sin.f64 phi1) 3) (*.f64 (cos.f64 delta) (*.f64 (cos.f64 theta) (cos.f64 phi1))))) (*.f64 (pow.f64 (cos.f64 delta) 2) (pow.f64 (sin.f64 phi1) 4)))))

9.0ms

(pow.f64 (sin.f64 phi1) 4)

6.0ms

(pow.f64 (sin.f64 phi1) 3)

rewrite24.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
25×	`add-cube-cbrt_binary64`
24×	`prod-diff_binary64`
19×	`unpow-prod-down_binary64`

Counts

3 → 98

Calls

3 calls:

5.0ms

(-.f64 (pow.f64 (cos.f64 delta) 2) (fma.f64 (pow.f64 (sin.f64 delta) 2) (*.f64 (pow.f64 (sin.f64 phi1) 2) (*.f64 (pow.f64 (cos.f64 theta) 2) (pow.f64 (cos.f64 phi1) 2))) (fma.f64 2 (*.f64 (sin.f64 delta) (*.f64 (pow.f64 (sin.f64 phi1) 3) (*.f64 (cos.f64 delta) (*.f64 (cos.f64 theta) (cos.f64 phi1))))) (*.f64 (pow.f64 (cos.f64 delta) 2) (pow.f64 (sin.f64 phi1) 4)))))

2.0ms

(pow.f64 (sin.f64 phi1) 3)

2.0ms

(pow.f64 (sin.f64 phi1) 4)

simplify249.0ms (1%)

Algorithm

1×	egg-herbie

Rules

680×	`fma-neg_binary64`
418×	`associate-r_binary64`
346×	`associate-l_binary64`
308×	`distribute-rgt-neg-in_binary64`
215×	`sub-neg_binary64`

Counts

142 → 161

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	12315
1	789	10206
2	3168	8378
3	4855	8378
4	5004	8378

prune823.0ms (3.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	181	8	189

Error

0.0b

Counts

189 → 8

Alt Table

Status	Error	Program
	32.3b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 theta)) (.f64 (sqrt.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)))))))))
	0.2b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (.f64 (/.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))))))) (.f64 (cbrt.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)))))))) (cbrt.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)))))))))) (/.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))))))) (cbrt.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 (-.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 (cbrt.f64 (pow.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)) (cbrt.f64 (.f64 (.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))))))) (-.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)))))))) (-.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)) (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)))))))))))
	27.6b	(+.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)))))))
✓	0.1b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (sin.f64 theta) (sin.f64 delta)) (cos.f64 phi1)) (/.f64 (-.f64 (pow.f64 (cos.f64 delta) 2) (fma.f64 (pow.f64 (sin.f64 delta) 2) (.f64 (pow.f64 (sin.f64 phi1) 2) (.f64 (pow.f64 (cos.f64 theta) 2) (pow.f64 (cos.f64 phi1) 2))) (fma.f64 2 (.f64 (sin.f64 delta) (.f64 (pow.f64 (sin.f64 phi1) 3) (.f64 (cos.f64 delta) (.f64 (cos.f64 theta) (cos.f64 phi1))))) (.f64 (pow.f64 (cos.f64 delta) 2) (pow.f64 (sin.f64 phi1) 4))))) (+.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))))))))))
	0.2b	(+.f64 lambda1 (atan2.f64 (.f64 (.f64 (.f64 (sin.f64 theta) (.f64 (cbrt.f64 (sin.f64 delta)) (cbrt.f64 (sin.f64 delta)))) (cbrt.f64 (sin.f64 delta))) (cos.f64 phi1)) (-.f64 (cos.f64 delta) (.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (fma.f64 (cos.f64 delta) (sin.f64 phi1) (.f64 (*.f64 (sin.f64 delta) (cos.f64 phi1)) (cos.f64 theta)))))))))

Compiler

Compiled 23860 to 9651 computations (59.6% saved)

regimes3.1s (12.7%)

Accuracy

Total 0.1b remaining (56.7%)

Threshold costs 0.1b (56.7%)

Counts

226 → 1

Compiler

Compiled 109492 to 47201 computations (56.9% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	140
1	61	140
2	66	140
3	68	140
4	69	140
5	69	140

end283.0ms (1.2%)

Compiler: Compiled 759 to 353 computations (53.5% 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

analyze4.7s (19.5%)

sample10.6s (43.9%)

simplify54.0ms (0.2%)

prune4.0ms (0%)

localize27.0ms (0.1%)

series131.0ms (0.5%)

rewrite14.0ms (0.1%)

simplify199.0ms (0.8%)

prune377.0ms (1.6%)

localize30.0ms (0.1%)

series1.1s (4.4%)

rewrite45.0ms (0.2%)

simplify356.0ms (1.5%)

prune958.0ms (4%)

localize41.0ms (0.2%)

series65.0ms (0.3%)

rewrite7.0ms (0%)

simplify166.0ms (0.7%)

prune501.0ms (2.1%)

localize48.0ms (0.2%)

series298.0ms (1.2%)

rewrite24.0ms (0.1%)

simplify249.0ms (1%)

prune823.0ms (3.4%)

regimes3.1s (12.7%)

simplify6.0ms (0%)

end283.0ms (1.2%)

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