Details

analyze1.5s (14.1%)

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)

sample710.0ms (6.7%)

Algorithm

1×

intervals

Results

612.0ms	42×	body	512	valid
56.0ms	115×	body	1024	valid
7.0ms	78×	body	128	valid
5.0ms	4×	body	2048	valid
3.0ms	17×	body	256	valid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify7.0ms (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

15.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	15.4b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Compiler

Compiled 45 to 28 computations (37.8% saved)

localize13.0ms (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)))
✓	2.7b	(cos.f64 (+.f64 a b))

series86.0ms (0.8%)

Counts

3 → 52

Calls

3 calls:

52.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
30.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms	(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 (0.7%)

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

prune192.0ms (1.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	162	10	172
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	163	10	173

Error

0.2b

Counts

173 → 10

Alt Table

Status	Error	Program
	15.5b	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 a b)))))
	15.6b	(*.f64 r (/.f64 (sin.f64 b) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3))))
	26.0b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (fma.f64 (sin.f64 b) a (.f64 1/2 (.f64 (cos.f64 b) (.f64 a a)))))))
	16.1b	(.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))))))
	15.6b	(*.f64 r (/.f64 (sin.f64 b) (log.f64 (exp.f64 (cos.f64 (+.f64 a b))))))
	15.5b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 a b))))
	15.4b	(/.f64 (*.f64 (sin.f64 b) r) (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)))))
	46.7b	(*.f64 r (exp.f64 (-.f64 (log.f64 (sin.f64 b)) (log.f64 (cos.f64 (+.f64 a b))))))
	16.1b	(.f64 r (.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b))) (/.f64 (cbrt.f64 (sin.f64 b)) (cos.f64 (+.f64 b a)))))

Compiler

Compiled 3937 to 1283 computations (67.4% 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)))
✓	0.2b	(.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 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))))

series222.0ms (2.1%)

Counts

4 → 80

Calls

4 calls:

120.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
74.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
16.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
11.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

rewrite33.0ms (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))))
5.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
4.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

simplify158.0ms (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

prune280.0ms (2.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	204	12	216
Fresh	9	0	9
Picked	1	0	1
Done	0	0	0
Total	214	12	226

Error

0.0b

Counts

226 → 12

Alt Table

Status	Error	Program
▶	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)))))
	0.5b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (cbrt.f64 (sin.f64 a))) (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))))))
	0.4b	(.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 (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)))))))
	0.9b	(.f64 r (.f64 (/.f64 1 (.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)))))) (/.f64 (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 b)) (.f64 (sin.f64 a) (sin.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)) (log.f64 (exp.f64 (*.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 (sin.f64 b) (/.f64 1 (-.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 (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)))
	30.2b	(.f64 (sqrt.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))) (sqrt.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))

Compiler

Compiled 6747 to 1965 computations (70.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series191.0ms (1.8%)

Counts

3 → 76

Calls

3 calls:

121.0ms

(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))

62.0ms

(/.f64 1 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))

9.0ms

(*.f64 r (sin.f64 b))

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-exp-log_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`associate-r_binary64`
20×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`

Counts

3 → 101

Calls

3 calls:

12.0ms

(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))

8.0ms

(/.f64 1 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))

3.0ms

(*.f64 r (sin.f64 b))

simplify132.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

758×	`fma-def_binary64`
291×	`associate-r_binary64`
288×	`associate-l_binary64`
233×	`associate-/r/_binary64`
186×	`fma-neg_binary64`

Counts

177 → 189

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	270	4746
1	722	4354
2	2742	4215
3	4895	4214
4	4960	4214

prune425.0ms (4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	225	5	230
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	230	12	242

Error

0.0b

Counts

242 → 12

Alt Table

Status	Error	Program
	0.9b	(.f64 (.f64 (.f64 r (sin.f64 b)) (.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (cbrt.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))) (cbrt.f64 (/.f64 1 (-.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)) (log.f64 (exp.f64 (*.f64 (sin.f64 a) (sin.f64 b)))))))
	0.5b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (cbrt.f64 (sin.f64 a))) (.f64 (sin.f64 b) (cbrt.f64 (sin.f64 a)))))))
	13.0b	(.f64 (expm1.f64 (log1p.f64 (.f64 r (sin.f64 b)))) (/.f64 1 (-.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)))))
	0.5b	(.f64 (.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (.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 (sin.f64 b) (/.f64 1 (-.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 (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)))))))
	0.9b	(.f64 r (.f64 (/.f64 1 (.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)))))) (/.f64 (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 b)) (.f64 (sin.f64 a) (sin.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)))
	0.5b	(.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))) 3)))

Compiler

Compiled 7636 to 2362 computations (69.1% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series198.0ms (1.9%)

Counts

2 → 60

Calls

2 calls:

124.0ms

(*.f64 r (*.f64 (sin.f64 b) (/.f64 1 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))

74.0ms

(*.f64 (sin.f64 b) (/.f64 1 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64`
18×	`associate-r_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-cbrt-cube_binary64`
13×	`prod-exp_binary64`

Counts

2 → 68

Calls

2 calls:

11.0ms

(*.f64 (sin.f64 b) (/.f64 1 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))

9.0ms

(*.f64 r (*.f64 (sin.f64 b) (/.f64 1 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))

simplify136.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-def_binary64`
510×	`associate-/r*_binary64`
334×	`associate-*l/_binary64`
232×	`associate-r_binary64`
218×	`associate-l_binary64`

Counts

128 → 133

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	244	4139
1	631	3763
2	2288	3671
3	5270	3671

prune406.0ms (3.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	244	12	256

Error

0.0b

Counts

256 → 12

Alt Table

Status	Error	Program
	0.9b	(.f64 (.f64 (.f64 r (sin.f64 b)) (.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (cbrt.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))) (cbrt.f64 (/.f64 1 (-.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)) (log.f64 (exp.f64 (*.f64 (sin.f64 a) (sin.f64 b)))))))
	0.5b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (.f64 (cbrt.f64 (sin.f64 a)) (cbrt.f64 (sin.f64 a))) (.f64 (sin.f64 b) (cbrt.f64 (sin.f64 a)))))))
	13.0b	(.f64 (expm1.f64 (log1p.f64 (.f64 r (sin.f64 b)))) (/.f64 1 (-.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)))))
	0.5b	(.f64 (.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))) (.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 (sin.f64 b) (/.f64 1 (-.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 (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)))))))
	0.9b	(.f64 r (.f64 (/.f64 1 (.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)))))) (/.f64 (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 b)) (.f64 (sin.f64 a) (sin.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)))
	0.5b	(.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))) 3)))

Compiler

Compiled 7773 to 2523 computations (67.5% saved)

regimes2.4s (22.7%)

Accuracy

Total 0.3b remaining (86.1%)

Threshold costs 0.3b (86.1%)

Counts

314 → 1

Compiler

Compiled 42493 to 23656 computations (44.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	24	26
2	32	26
3	38	26
4	41	26
5	42	26
6	42	26

end1.0ms (0%)

Compiler: Compiled 19 to 12 computations (36.8% saved)

sample3.3s (31.1%)

Algorithm

1×

intervals

Results

1.8s	3463×	body	1024	valid
386.0ms	1376×	body	512	valid
250.0ms	196×	body	2048	valid
220.0ms	2394×	body	128	valid
105.0ms	571×	body	256	valid
0.0ms	1×	body	512	invalid

Compiler

Compiled 447 to 234 computations (47.7% saved)

Details

analyze1.5s (14.1%)

sample710.0ms (6.7%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize13.0ms (0.1%)

series86.0ms (0.8%)

rewrite16.0ms (0.1%)

simplify78.0ms (0.7%)

prune192.0ms (1.8%)

localize13.0ms (0.1%)

series222.0ms (2.1%)

rewrite33.0ms (0.3%)

simplify158.0ms (1.5%)

prune280.0ms (2.6%)

localize14.0ms (0.1%)

series191.0ms (1.8%)

rewrite32.0ms (0.3%)

simplify132.0ms (1.2%)

prune425.0ms (4%)

localize16.0ms (0.2%)

series198.0ms (1.9%)

rewrite27.0ms (0.3%)

simplify136.0ms (1.3%)

prune406.0ms (3.8%)

regimes2.4s (22.7%)

simplify3.0ms (0%)

end1.0ms (0%)

sample3.3s (31.1%)

Profiling