Details

analyze1.4s (14.7%)

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)

sample89.0ms (1%)

Algorithm

1×

intervals

Results

53.0ms	109×	body	1024	valid
9.0ms	38×	body	512	valid
6.0ms	73×	body	128	valid
5.0ms	31×	body	256	valid
5.0ms	5×	body	2048	valid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify15.0ms (0.2%)

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

15.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	15.6b	(*.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)))
✓	3.8b	(cos.f64 (+.f64 a b))

series79.0ms (0.8%)

Counts

3 → 52

Calls

3 calls:

46.0ms	(*.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:

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))

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

prune294.0ms (3.1%)

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
	15.8b	(*.f64 r (/.f64 (sin.f64 b) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3))))
	30.8b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (fma.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3)) (cos.f64 b)) (fma.f64 (sin.f64 b) a (.f64 1/2 (.f64 (cos.f64 b) (*.f64 a a)))))))
	30.7b	(.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))))))
	36.5b	(.f64 (sqrt.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) (sqrt.f64 (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
	15.7b	(.f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 a b)))))
	15.7b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
▶	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
	39.4b	(.f64 (sqrt.f64 r) (.f64 (sqrt.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
	16.4b	(.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))))))
	15.6b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))

Compiler

Compiled 4001 to 1307 computations (67.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series195.0ms (2.1%)

Counts

4 → 72

Calls

4 calls:

111.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
64.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
10.0ms	(*.f64 (cos.f64 a) (cos.f64 b))
9.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

rewrite42.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 113

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)))))
6.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
3.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
3.0ms	(*.f64 (cos.f64 a) (cos.f64 b))

simplify160.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

376×	`cancel-sign-sub-inv_binary64`
331×	`associate-r_binary64`
312×	`fma-neg_binary64`
302×	`associate-l_binary64`
232×	`distribute-rgt-neg-in_binary64`

Counts

185 → 212

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	356	5222
1	918	4939
2	3472	4759
3	4807	4757
4	4957	4757

prune220.0ms (2.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	201	11	212
Fresh	9	0	9
Picked	1	0	1
Done	0	0	0
Total	211	11	222

Error

0.0b

Counts

222 → 11

Alt Table

Status	Error	Program
	33.9b	(.f64 (.f64 r (/.f64 (sqrt.f64 (sin.f64 b)) (.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 (sqrt.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 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1))))
	31.9b	(.f64 (sqrt.f64 r) (.f64 (sqrt.f64 r) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))
▶	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
	1.3b	(.f64 (.f64 (cbrt.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))) (cbrt.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))) (cbrt.f64 (.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)))
	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	0.9b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (cbrt.f64 (.f64 (cos.f64 a) (cos.f64 b)))) (cbrt.f64 (.f64 (cos.f64 a) (cos.f64 b)))) (*.f64 (sin.f64 a) (sin.f64 b)))))
	24.0b	(.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)))))))
	17.5b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (sqrt.f64 (cos.f64 a)) (.f64 (sqrt.f64 (cos.f64 a)) (cos.f64 b))) (.f64 (sin.f64 a) (sin.f64 b)))))
	30.6b	(.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 6594 to 1929 computations (70.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series207.0ms (2.2%)

Counts

3 → 84

Calls

3 calls:

133.0ms

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

64.0ms

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

9.0ms

(*.f64 (cos.f64 b) (cos.f64 a))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 92

Calls

3 calls:

10.0ms

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

6.0ms

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

3.0ms

(*.f64 (cos.f64 b) (cos.f64 a))

simplify145.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

915×	`fma-def_binary64`
269×	`associate-r_binary64`
241×	`associate-l_binary64`
232×	`cancel-sign-sub-inv_binary64`
212×	`fma-neg_binary64`

Counts

176 → 206

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	309	5070
1	779	4793
2	2983	4632
3	4601	4631
4	4977	4631

prune242.0ms (2.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	245	2	247
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	248	10	258

Error

0.0b

Counts

258 → 10

Alt Table

Status	Error	Program
	33.9b	(.f64 (.f64 r (/.f64 (sqrt.f64 (sin.f64 b)) (.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 (sqrt.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 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1))))
	30.6b	(.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)))))))
	23.9b	(.f64 (/.f64 r (sqrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (/.f64 (sin.f64 b) (sqrt.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))))
	1.3b	(.f64 (.f64 (cbrt.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))) (cbrt.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))) (cbrt.f64 (.f64 r (/.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) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
	0.9b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (cbrt.f64 (.f64 (cos.f64 a) (cos.f64 b)))) (cbrt.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 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))))
	31.9b	(.f64 (sqrt.f64 r) (.f64 (sqrt.f64 r) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))
	17.5b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (sqrt.f64 (cos.f64 a)) (.f64 (sqrt.f64 (cos.f64 a)) (cos.f64 b))) (.f64 (sin.f64 a) (sin.f64 b)))))

Compiler

Compiled 7702 to 2039 computations (73.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 a) (cos.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))))

series139.0ms (1.5%)

Counts

2 → 28

Calls

2 calls:

130.0ms	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
8.0ms	(*.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)

simplify62.0ms (0.7%)

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

prune194.0ms (2.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	175	2	177
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	178	9	187

Error

0.0b

Counts

187 → 9

Alt Table

Status	Error	Program
	0.4b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3))))
	33.9b	(.f64 (.f64 r (/.f64 (sqrt.f64 (sin.f64 b)) (.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 (sqrt.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 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1))))
	0.7b	(/.f64 1 (fma.f64 (/.f64 (cos.f64 a) r) (/.f64 (cos.f64 b) (sin.f64 b)) (*.f64 -1 (/.f64 (sin.f64 a) r))))
	17.5b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (sqrt.f64 (cos.f64 a)) (.f64 (sqrt.f64 (cos.f64 a)) (cos.f64 b))) (.f64 (sin.f64 a) (sin.f64 b)))))
	30.6b	(.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)))))))
	23.9b	(.f64 (/.f64 r (sqrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (/.f64 (sin.f64 b) (sqrt.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))))
	0.9b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) (cbrt.f64 (.f64 (cos.f64 a) (cos.f64 b)))) (cbrt.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 b) (cos.f64 a)) (.f64 (sin.f64 a) (sin.f64 b))))))

Compiler

Compiled 4837 to 1310 computations (72.9% saved)

regimes2.7s (28.8%)

Accuracy

Total 0.2b remaining (78.5%)

Threshold costs 0.2b (78.5%)

Counts

318 → 1

Compiler

Compiled 39713 to 22737 computations (42.7% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	24	28
2	34	28
3	42	28
4	47	28
5	50	28
6	51	28
7	51	28

end1.0ms (0%)

Compiler: Compiled 20 to 13 computations (35% saved)

sample3.0s (32.3%)

Algorithm

1×

intervals

Results

1.7s	3496×	body	1024	valid
341.0ms	1374×	body	512	valid
217.0ms	189×	body	2048	valid
212.0ms	2373×	body	128	valid
101.0ms	568×	body	256	valid
1.0ms	1×	body	1024	invalid

Compiler

Compiled 300 to 161 computations (46.3% saved)

Details

analyze1.4s (14.7%)

sample89.0ms (1%)

simplify15.0ms (0.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series79.0ms (0.8%)

rewrite15.0ms (0.2%)

simplify75.0ms (0.8%)

prune294.0ms (3.1%)

localize12.0ms (0.1%)

series195.0ms (2.1%)

rewrite42.0ms (0.4%)

simplify160.0ms (1.7%)

prune220.0ms (2.4%)

localize12.0ms (0.1%)

series207.0ms (2.2%)

rewrite26.0ms (0.3%)

simplify145.0ms (1.6%)

prune242.0ms (2.6%)

localize13.0ms (0.1%)

series139.0ms (1.5%)

rewrite13.0ms (0.1%)

simplify62.0ms (0.7%)

prune194.0ms (2.1%)

regimes2.7s (28.8%)

simplify4.0ms (0%)

end1.0ms (0%)

sample3.0s (32.3%)

Profiling