Details

analyze1.7s (17.8%)

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)

sample4.0s (41.1%)

Results

2.5s	3582×	body	1024	valid
572.0ms	1387×	body	512	valid
411.0ms	2427×	body	128	valid
303.0ms	216×	body	2048	valid
193.0ms	644×	body	256	valid
1.0ms	2×	body	1024	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify8.0ms (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

14.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	14.5b	(*.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)))
✓	3.7b	(cos.f64 (+.f64 a b))

series81.0ms (0.8%)

Counts

3 → 52

Calls

3 calls:

48.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
28.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms	(cos.f64 (+.f64 a b))

rewrite15.0ms (0.2%)

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:

6.0ms	(*.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))

simplify75.0ms (0.8%)

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

prune179.0ms (1.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	159	13	172
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	160	13	173

Error

0.2b

Counts

173 → 13

Alt Table

Status	Error	Program
	14.9b	(.f64 r (/.f64 (/.f64 (sin.f64 b) (.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (cbrt.f64 (cos.f64 (+.f64 b a))))) (cbrt.f64 (cos.f64 (+.f64 a b)))))
	36.3b	(.f64 r (.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 b a)))))
	14.6b	(.f64 r (/.f64 (sin.f64 b) (cbrt.f64 (.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b))) (cos.f64 (+.f64 a b))))))
	15.2b	(.f64 r (.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
	29.0b	(+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)))
	32.9b	(.f64 (.f64 r (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 a b))))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))))
	14.5b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
	35.2b	(.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)))))
	14.7b	(*.f64 r (/.f64 (sin.f64 b) (log.f64 (exp.f64 (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)))))
	14.5b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 a b))))
	15.2b	(.f64 (.f64 (cbrt.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) (cbrt.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))) (cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
	18.2b	(*.f64 r (expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))

Compiler

Compiled 4123 to 1357 computations (67.1% saved)

localize380.0ms (3.9%)

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

series198.0ms (2%)

Counts

4 → 80

Calls

4 calls:

108.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
65.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
14.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
10.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

rewrite30.0ms (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:

8.0ms	(.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))

simplify149.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Counts

190 → 216

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	331	5599
1	871	5281
2	3258	5029
3	4530	5023
4	4971	5023

prune247.0ms (2.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	205	11	216
Fresh	9	3	12
Picked	1	0	1
Done	0	0	0
Total	215	14	229

Error

Counts

229 → 14

Alt Table

Status	Error	Program
	34.2b	(cbrt.f64 (pow.f64 (/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1))) 3))
	0.6b	(.f64 r (log1p.f64 (expm1.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
	35.2b	(.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 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))
▶	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	31.0b	(*.f64 (sqrt.f64 (/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))) (sqrt.f64 (/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))))
	24.8b	(.f64 r (log.f64 (exp.f64 (/.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 (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)))))
	0.4b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))
	29.6b	(.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)))))
	0.6b	(.f64 r (/.f64 (sin.f64 b) (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) 3))))
	15.2b	(.f64 (.f64 (cbrt.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) (cbrt.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))) (cbrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
	32.9b	(.f64 (.f64 r (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 a b))))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a 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))))

Compiler

Compiled 6657 to 1973 computations (70.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series116.0ms (1.2%)

Counts

2 → 28

Calls

2 calls:

109.0ms	(/.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:

7.0ms	(/.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)

simplify59.0ms (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

prune218.0ms (2.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	178	3	181
Fresh	3	10	13
Picked	0	1	1
Done	0	0	0
Total	181	14	195

Error

Counts

195 → 14

Alt Table

Status	Error	Program
	0.6b	(.f64 r (log1p.f64 (expm1.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
	35.2b	(.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 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))
✓	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	1.1b	(/.f64 1 (fma.f64 (/.f64 (cos.f64 a) r) (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 -1 (/.f64 (sin.f64 a) r))))
	0.6b	(.f64 r (/.f64 (sin.f64 b) (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) 3))))
	31.0b	(*.f64 (sqrt.f64 (/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))) (sqrt.f64 (/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))))
	24.8b	(.f64 r (log.f64 (exp.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
▶	0.3b	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
	0.4b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (.f64 (sin.f64 a) (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b)))) (cbrt.f64 (sin.f64 b)))))
	0.5b	(.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)))))
	29.6b	(.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)))))
	32.9b	(.f64 (.f64 r (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 a b))))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a 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))))

Compiler

Compiled 5261 to 1518 computations (71.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series147.0ms (1.5%)

Counts

3 → 84

Calls

3 calls:

118.0ms

(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))

17.0ms

(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))

12.0ms

(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
10×	`associate-r_binary64`
10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
9×	`*-un-lft-identity_binary64`

Counts

3 → 61

Calls

3 calls:

4.0ms

(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))

3.0ms

(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))

0.0ms

(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))

simplify110.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

672×	`fma-def_binary64`
317×	`fma-neg_binary64`
253×	`associate-/l/_binary64`
211×	`associate-r_binary64`
206×	`associate-l_binary64`

Counts

145 → 147

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	3500
1	629	3274
2	2378	3207
3	4881	3202
4	5004	3202

prune231.0ms (2.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	183	2	185
Fresh	2	10	12
Picked	0	1	1
Done	0	1	1
Total	185	14	199

Error

Counts

199 → 14

Alt Table

Status	Error	Program
	0.6b	(.f64 r (log1p.f64 (expm1.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
	35.2b	(.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 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))
✓	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	1.1b	(/.f64 1 (fma.f64 (/.f64 (cos.f64 a) r) (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 -1 (/.f64 (sin.f64 a) r))))
	0.6b	(.f64 r (/.f64 (sin.f64 b) (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) 3))))
	31.0b	(*.f64 (sqrt.f64 (/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))) (sqrt.f64 (/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))))
✓	0.3b	(/.f64 (.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
	0.6b	(.f64 (/.f64 (sin.f64 b) 1) (/.f64 r (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))))
	0.5b	(.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)))))
	29.6b	(.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)))))
	32.9b	(.f64 (.f64 r (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 a b))))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a 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))))
	1.0b	(/.f64 1 (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (.f64 (sin.f64 b) r)))

Compiler

Compiled 4827 to 1285 computations (73.4% saved)

regimes1.4s (14.4%)

Accuracy

Total 0.3b remaining (88.8%)

Threshold costs 0.3b (88.8%)

Counts

194 → 1

Compiler

Compiled 21560 to 12507 computations (42% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	21	26
2	28	26
3	34	26
4	37	26
5	38	26
6	38	26

end279.0ms (2.9%)

Compiler: Compiled 370 to 230 computations (37.8% saved)

Details

analyze1.7s (17.8%)

sample4.0s (41.1%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series81.0ms (0.8%)

rewrite15.0ms (0.2%)

simplify75.0ms (0.8%)

prune179.0ms (1.8%)

localize380.0ms (3.9%)

series198.0ms (2%)

rewrite30.0ms (0.3%)

simplify149.0ms (1.5%)

prune247.0ms (2.6%)

localize12.0ms (0.1%)

series116.0ms (1.2%)

rewrite13.0ms (0.1%)

simplify59.0ms (0.6%)

prune218.0ms (2.3%)

localize12.0ms (0.1%)

series147.0ms (1.5%)

rewrite11.0ms (0.1%)

simplify110.0ms (1.1%)

prune231.0ms (2.4%)

regimes1.4s (14.4%)

simplify3.0ms (0%)

end279.0ms (2.9%)

Profiling