Details

analyze1.6s (15.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
6.2%	93.6%	0.1%	7
9.4%	90.5%	0.1%	8
14%	85.8%	0.1%	9
19.5%	80.4%	0.1%	10
20.7%	79.2%	0.1%	11
22%	77.8%	0.1%	12
23.5%	76.4%	0.1%	13
23.8%	76%	0.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample3.9s (37.3%)

Results

2.4s	3548×	body	1024	valid
588.0ms	1445×	body	512	valid
406.0ms	2479×	body	128	valid
249.0ms	176×	body	2048	valid
176.0ms	608×	body	256	valid
0.0ms	1×	body	512	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`+-commutative_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	13	14
2	16	14
3	20	14
4	21	14
5	21	14

prune2.0ms (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

15.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	15.3b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Compiler

Compiled 45 to 28 computations (37.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
✓	0.2b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
✓	2.6b	(cos.f64 (+.f64 a b))

series71.0ms (0.7%)

Counts

3 → 52

Calls

3 calls:

43.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
24.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms	(cos.f64 (+.f64 a b))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64`
19×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`

Counts

3 → 73

Calls

3 calls:

5.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
3.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
3.0ms	(cos.f64 (+.f64 a b))

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

696×	`fma-def_binary64`
561×	`associate-/r*_binary64`
437×	`associate-*l/_binary64`
281×	`associate-/r/_binary64`
239×	`associate-/l/_binary64`

Counts

125 → 172

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	244	2790
1	620	2642
2	2288	2580
3	5317	2580

prune160.0ms (1.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	161	11	172
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	162	11	173

Error

0.2b

Counts

173 → 11

Alt Table

Status	Error	Program
	37.6b	(.f64 (.f64 r (sqrt.f64 (sin.f64 b))) (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
	15.3b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
	15.2b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
	32.3b	(.f64 r (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a (fma.f64 1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 a a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (.f64 a a) (fma.f64 5/6 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2)) (/.f64 (.f64 (pow.f64 a 3) (pow.f64 (sin.f64 b) 4)) (pow.f64 (cos.f64 b) 4))))))))
	15.3b	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 a b)))))
	15.9b	(.f64 (.f64 r (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b)))) (/.f64 (cbrt.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
	15.4b	(*.f64 r (/.f64 (sin.f64 b) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3))))
	41.7b	(.f64 (.f64 r (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
▶	0.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
	15.9b	(.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (*.f64 (cbrt.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
	27.2b	(*.f64 r (cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 3)))

Compiler

Compiled 4065 to 1361 computations (66.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
✓	0.2b	(*.f64 (sin.f64 a) (sin.f64 b))
✓	0.2b	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
✓	0.2b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))

series186.0ms (1.8%)

Counts

4 → 80

Calls

4 calls:

103.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
59.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
13.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
11.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

rewrite31.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
20×	`associate-r_binary64`
19×	`times-frac_binary64`

Counts

4 → 110

Calls

4 calls:

9.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
7.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
4.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
3.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

simplify840.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

386×	`fma-neg_binary64`
323×	`cancel-sign-sub-inv_binary64`
292×	`associate-r_binary64`
268×	`associate-l_binary64`
198×	`distribute-rgt-neg-in_binary64`

Counts

190 → 251

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	331	5599
1	870	5281
2	3258	5029
3	4530	5023
4	4971	5023

prune261.0ms (2.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	241	10	251
Fresh	10	0	10
Picked	1	0	1
Done	0	0	0
Total	252	10	262

Error

0.0b

Counts

262 → 10

Alt Table

Status	Error	Program
	48.1b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (exp.f64 (+.f64 (log.f64 (sin.f64 a)) (log.f64 (sin.f64 b)))))))
▶	0.4b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	0.4b	(.f64 r (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2)))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))
	31.5b	(.f64 (.f64 r (sqrt.f64 (sin.f64 b))) (/.f64 (sqrt.f64 (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))
	0.5b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 a) (sin.f64 b)))))))
	1.2b	(.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (/.f64 (cbrt.f64 r) (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1))))
	0.5b	(.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) 3)))) (+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
	12.4b	(.f64 r (cbrt.f64 (/.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 b)) (sin.f64 b)) (.f64 (.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
	1.1b	(.f64 (.f64 r (.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b)))) (/.f64 (cbrt.f64 (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))

Compiler

Compiled 7757 to 2037 computations (73.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
✓	0.1b	(*.f64 (sin.f64 b) r)
	0.2b	(*.f64 (sin.f64 a) (sin.f64 b))
✓	0.2b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))

series107.0ms (1%)

Counts

2 → 28

Calls

2 calls:

101.0ms	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
7.0ms	(*.f64 (sin.f64 b) r)

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

8.0ms	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
3.0ms	(*.f64 (sin.f64 b) r)

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

542×	`associate-/r*_binary64`
499×	`fma-def_binary64`
346×	`associate-/l/_binary64`
337×	`associate-/r/_binary64`
159×	`associate-/l*_binary64`

Counts

75 → 98

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	2205
1	542	2011
2	2101	1931
3	5002	1931

prune212.0ms (2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	190	2	192
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	192	10	202

Error

0.0b

Counts

202 → 10

Alt Table

Status	Error	Program
▶	0.4b	(/.f64 (.f64 (sin.f64 b) r) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))))
	0.5b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))
	31.4b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (.f64 (sin.f64 a) (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b)))))
	12.4b	(.f64 r (cbrt.f64 (/.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 b)) (sin.f64 b)) (.f64 (.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
	0.4b	(.f64 r (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2)))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))
	31.5b	(.f64 (.f64 r (sqrt.f64 (sin.f64 b))) (/.f64 (sqrt.f64 (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))
✓	0.4b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	1.2b	(.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (/.f64 (cbrt.f64 r) (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1))))
	0.5b	(.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) 3)))) (+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
	1.1b	(.f64 (.f64 r (.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b)))) (/.f64 (cbrt.f64 (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))

Compiler

Compiled 5482 to 1474 computations (73.1% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
✓	0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
✓	0.2b	(/.f64 (.f64 (sin.f64 b) r) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))))
✓	53.5b	(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))

series383.0ms (3.7%)

Counts

4 → 100

Calls

4 calls:

336.0ms	(/.f64 (.f64 (sin.f64 b) r) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))))
23.0ms	(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))
14.0ms	(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
11.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

6.0ms	(/.f64 (.f64 (sin.f64 b) r) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))))
3.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
0.0ms	(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (sin.f64 b) (sin.f64 a)))
0.0ms	(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))

simplify111.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-def_binary64`
379×	`fma-neg_binary64`
318×	`associate-/l/_binary64`
258×	`cancel-sign-sub-inv_binary64`
200×	`div-sub_binary64`

Counts

168 → 150

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	252	4319
1	665	3311
2	2418	3164
3	4468	3158
4	5042	3158

prune271.0ms (2.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	187	1	188
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	189	9	198

Error

0.0b

Counts

198 → 9

Alt Table

Status	Error	Program
	0.5b	(/.f64 1 (/.f64 (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (.f64 (sin.f64 b) (sin.f64 a)))) (*.f64 (sin.f64 b) r)))
	0.5b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))
	31.4b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (.f64 (sin.f64 a) (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b)))))
	12.4b	(.f64 r (cbrt.f64 (/.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 b)) (sin.f64 b)) (.f64 (.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
	0.4b	(.f64 r (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2)))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))
	31.5b	(.f64 (.f64 r (sqrt.f64 (sin.f64 b))) (/.f64 (sqrt.f64 (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))
✓	0.4b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	0.5b	(.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) 3)))) (+.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (+.f64 (.f64 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
	1.1b	(.f64 (.f64 r (.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b)))) (/.f64 (cbrt.f64 (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))

Compiler

Compiled 7173 to 1462 computations (79.6% saved)

regimes1.8s (17.7%)

Accuracy

Total 0.3b remaining (85.5%)

Threshold costs 0.3b (85.5%)

Counts

283 → 1

Compiler

Compiled 40459 to 20981 computations (48.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	21	26
2	31	26
3	37	26
4	41	26
5	42	26
6	42	26

end179.0ms (1.7%)

Compiler: Compiled 332 to 172 computations (48.2% saved)

Details

analyze1.6s (15.7%)

sample3.9s (37.3%)

simplify6.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series71.0ms (0.7%)

rewrite15.0ms (0.1%)

simplify70.0ms (0.7%)

prune160.0ms (1.5%)

localize12.0ms (0.1%)

series186.0ms (1.8%)

rewrite31.0ms (0.3%)

simplify840.0ms (8.1%)

prune261.0ms (2.5%)

localize13.0ms (0.1%)

series107.0ms (1%)

rewrite13.0ms (0.1%)

simplify62.0ms (0.6%)

prune212.0ms (2%)

localize16.0ms (0.2%)

series383.0ms (3.7%)

rewrite14.0ms (0.1%)

simplify111.0ms (1.1%)

prune271.0ms (2.6%)

regimes1.8s (17.7%)

simplify3.0ms (0%)

end179.0ms (1.7%)

Profiling