Details

analyze2.3s (14.2%)

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	99.9%	0.1%	10
1.6%	98.3%	0.1%	11
1.6%	98.3%	0.1%	12
2.3%	97.5%	0.1%	13
3.5%	96.3%	0.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample4.8s (30%)

Results

2.6s	3628×	body	1024	valid
1.1s	2405×	body	128	valid
625.0ms	1399×	body	512	valid
289.0ms	201×	body	2048	valid
204.0ms	623×	body	256	valid
5.0ms	1×	body	8192	exit
0.0ms	1×	body	256	invalid

Compiler

Compiled 25 to 17 computations (32% saved)

simplify7.0ms (0%)

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

14.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	14.6b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Compiler

Compiled 45 to 28 computations (37.8% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

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

series83.0ms (0.5%)

Counts

3 → 52

Calls

3 calls:

47.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
29.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
7.0ms	(cos.f64 (+.f64 a b))

rewrite16.0ms (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:

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))

simplify78.0ms (0.5%)

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 → 170

Iterations

Useful iterations: 2 (0.0ms)

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

prune217.0ms (1.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	159	11	170
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	160	11	171

Error

0.2b

Counts

171 → 11

Alt Table

Status	Error	Program
	46.0b	(cbrt.f64 (.f64 (.f64 (.f64 r r) r) (/.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 b)) (sin.f64 b)) (.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 a b))) (cos.f64 (+.f64 a b))))))
	32.0b	(fma.f64 1/2 (.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (.f64 a a)) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (fma.f64 5/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 (pow.f64 a 3) r)) (pow.f64 (cos.f64 b) 2)) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 a r) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (.f64 a (.f64 a r)) (/.f64 (.f64 (.f64 (pow.f64 a 3) r) (pow.f64 (sin.f64 b) 4)) (pow.f64 (cos.f64 b) 4)))))))
	14.8b	(*.f64 r (/.f64 (sin.f64 b) (log.f64 (exp.f64 (cos.f64 (+.f64 a b))))))
	32.8b	(+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (.f64 2/3 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 a) 3) (.f64 (pow.f64 b 4) r)) (pow.f64 (cos.f64 a) 4)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) (.f64 (pow.f64 b 3) r)) (pow.f64 (cos.f64 a) 3)) (.f64 1/3 (/.f64 (.f64 (pow.f64 b 3) r) (cos.f64 a))))))))
	31.9b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (fma.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3)) (cos.f64 a)) (.f64 b (+.f64 (sin.f64 a) (.f64 (*.f64 1/2 (cos.f64 a)) b))))))
	36.0b	(.f64 (sqrt.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (sqrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
	29.4b	(+.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)))
	15.4b	(.f64 (.f64 r (/.f64 (.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b))) (.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) (cbrt.f64 (cos.f64 (+.f64 a b)))))) (/.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (cos.f64 (+.f64 a b)))))
	33.9b	(*.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))))
▶	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
	14.7b	(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 a b))))))

Compiler

Compiled 4320 to 1497 computations (65.3% 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 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))))
✓	0.3b	(*.f64 (sin.f64 a) (sin.f64 b))

series205.0ms (1.3%)

Counts

4 → 80

Calls

4 calls:

113.0ms	(.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))))
15.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
11.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

rewrite32.0ms (0.2%)

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)))))
8.0ms	(/.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)))
4.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

simplify161.0ms (1%)

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 → 252

Iterations

Useful iterations: 3 (0.0ms)

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

prune316.0ms (2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	241	11	252
Fresh	9	1	10
Picked	1	0	1
Done	0	0	0
Total	251	12	263

Error

0.0b

Counts

263 → 12

Alt Table

Status	Error	Program
	0.5b	(.f64 r (/.f64 (sin.f64 b) (-.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))))))
	28.5b	(.f64 (/.f64 r (sqrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))) (/.f64 (sin.f64 b) (sqrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
	14.3b	(.f64 r (cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) 3)))
	1.0b	(.f64 r (/.f64 (sin.f64 b) (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (.f64 (.f64 (.f64 (sin.f64 a) (sin.f64 a)) (sin.f64 a)) (.f64 (*.f64 (sin.f64 b) (sin.f64 b)) (sin.f64 b)))))))
	0.3b	(.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (.f64 (sin.f64 a) (sin.f64 b))))))
	0.5b	(.f64 (.f64 r (/.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)))
▶	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 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)))))
	15.4b	(.f64 (.f64 r (/.f64 (.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b))) (.f64 (cbrt.f64 (cos.f64 (+.f64 a b))) (cbrt.f64 (cos.f64 (+.f64 a b)))))) (/.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (cos.f64 (+.f64 a b)))))
	0.4b	(.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))

Compiler

Compiled 7798 to 2071 computations (73.4% 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 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	0.3b	(*.f64 (sin.f64 a) (sin.f64 b))

series120.0ms (0.8%)

Counts

2 → 28

Calls

2 calls:

112.0ms	(/.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)

rewrite14.0ms (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)

simplify68.0ms (0.4%)

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

prune254.0ms (1.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	186	5	191
Fresh	6	5	11
Picked	1	0	1
Done	0	0	0
Total	193	10	203

Error

0.0b

Counts

203 → 10

Alt Table

Status	Error	Program
	0.8b	(/.f64 1 (fma.f64 (/.f64 (cos.f64 a) r) (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 -1 (/.f64 (sin.f64 a) r))))
	0.5b	(.f64 (.f64 r (/.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))))
	1.2b	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (cbrt.f64 (.f64 (sin.f64 b) r))) (cbrt.f64 (.f64 (sin.f64 b) r))) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	28.5b	(.f64 (/.f64 r (sqrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))) (/.f64 (sin.f64 b) (sqrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
	0.4b	(.f64 (/.f64 (.f64 (sin.f64 b) r) (-.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))))))
▶	0.4b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))
	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)))))
	0.4b	(/.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)))))
	1.0b	(.f64 r (/.f64 (sin.f64 b) (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
	0.4b	(/.f64 (.f64 (sin.f64 b) r) (log1p.f64 (expm1.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))))

Compiler

Compiled 5477 to 1486 computations (72.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1))
✓	0.1b	(/.f64 (sin.f64 b) (cos.f64 b))
✓	0.2b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))
✓	0.2b	(/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)))

series179.0ms (1.1%)

Counts

4 → 88

Calls

4 calls:

122.0ms	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))
25.0ms	(-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1))
23.0ms	(/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)))
7.0ms	(/.f64 (sin.f64 b) (cos.f64 b))

rewrite272.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

1540×	`times-frac_binary64`
1028×	`add-sqr-sqrt_binary64`
923×	`*-un-lft-identity_binary64`
878×	`add-cube-cbrt_binary64`
572×	`prod-diff_binary64`

Counts

4 → 832

Calls

4 calls:

38.0ms	(-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1))
27.0ms	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))
5.0ms	(/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)))
3.0ms	(/.f64 (sin.f64 b) (cos.f64 b))

simplify1.0s (6.5%)

Algorithm

1×	egg-herbie

Rules

314×	`fma-neg_binary64`
259×	`associate-/l*_binary64`
252×	`fma-udef_binary64`
228×	`associate-r_binary64`
201×	`associate-*l/_binary64`

Counts

920 → 1057

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	715	35477
1	1097	33287
2	4118	29114
3	4710	29113
4	4957	29113
5	4931	29113

prune1.3s (8.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	1054	3	1057
Fresh	5	4	9
Picked	0	1	1
Done	0	0	0
Total	1059	8	1067

Error

0.0b

Counts

1067 → 8

Alt Table

Status	Error	Program
	0.5b	(.f64 (.f64 r (/.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))))
	0.8b	(/.f64 1 (/.f64 (-.f64 (*.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a)) (sin.f64 a)) r))
	1.4b	(.f64 (/.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (.f64 (cbrt.f64 (-.f64 (.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a)) (sin.f64 a))) (cbrt.f64 (-.f64 (.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a)) (sin.f64 a))))) (/.f64 (cbrt.f64 r) (cbrt.f64 (-.f64 (.f64 (/.f64 (cos.f64 b) (sin.f64 b)) (cos.f64 a)) (sin.f64 a)))))
✓	0.4b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))
	17.5b	(/.f64 r (fma.f64 (/.f64 (sqrt.f64 (cos.f64 a)) 1) (/.f64 (sqrt.f64 (cos.f64 a)) (/.f64 (sin.f64 b) (cos.f64 b))) (neg.f64 (sin.f64 a))))
	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)))))
	0.4b	(/.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)))))
	1.0b	(.f64 r (/.f64 (sin.f64 b) (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))

Compiler

Compiled 50638 to 20249 computations (60% saved)

regimes4.4s (27.3%)

Accuracy

Total 0.3b remaining (81.8%)

Threshold costs 0.3b (81.8%)

Counts

581 → 1

Compiler

Compiled 76686 to 45031 computations (41.3% 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

end145.0ms (0.9%)

Compiler: Compiled 281 to 150 computations (46.6% saved)

Details

analyze2.3s (14.2%)

sample4.8s (30%)

simplify7.0ms (0%)

prune2.0ms (0%)

localize8.0ms (0%)

series83.0ms (0.5%)

rewrite16.0ms (0.1%)

simplify78.0ms (0.5%)

prune217.0ms (1.4%)

localize12.0ms (0.1%)

series205.0ms (1.3%)

rewrite32.0ms (0.2%)

simplify161.0ms (1%)

prune316.0ms (2%)

localize12.0ms (0.1%)

series120.0ms (0.8%)

rewrite14.0ms (0.1%)

simplify68.0ms (0.4%)

prune254.0ms (1.6%)

localize13.0ms (0.1%)

series179.0ms (1.1%)

rewrite272.0ms (1.7%)

simplify1.0s (6.5%)

prune1.3s (8.2%)

regimes4.4s (27.3%)

simplify3.0ms (0%)

end145.0ms (0.9%)

Profiling