Details

analyze4.4s (19.2%)

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%	93.6%	6.4%	8
9.4%	84.3%	6.4%	9
14.8%	75.7%	9.5%	10
16%	71.4%	12.6%	11
20.9%	65.7%	13.4%	12
24.2%	60.5%	15.3%	13
24.8%	58.6%	16.6%	14

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample228.0ms (1%)

Algorithm

1×

intervals

Results

109.0ms	68×	body	1024	valid
43.0ms	136×	body	128	valid
35.0ms	34×	body	512	valid
11.0ms	18×	body	256	valid
8.0ms	22×	body	128	invalid
0.0ms	1×	body	128	nan

Compiler

Compiled 64 to 50 computations (21.9% saved)

simplify72.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

640×	`distribute-rgt-neg-in_binary64`
474×	`fma-neg_binary64`
418×	`distribute-lft-neg-in_binary64`
379×	`div-sub_binary64`
378×	`fma-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	35
1	49	28
2	100	28
3	195	28
4	391	28
5	1075	28
6	2543	28
7	4200	28
8	4955	28

prune10.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

17.6b

Counts

3 → 2

Alt Table

Status	Error	Program
	17.8b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
▶	17.7b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 x (tan.f64 B)))

Status

Error

Program

17.8b

(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))

▶

17.7b

(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 x (tan.f64 B)))

Compiler

Compiled 153 to 108 computations (29.4% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 F (sin.f64 B))
✓	0.2b	(/.f64 x (tan.f64 B))
✓	7.4b	(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
✓	21.0b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series534.0ms (2.3%)

Counts

4 → 80

Calls

4 calls:

315.0ms	(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
98.0ms	(/.f64 x (tan.f64 B))
77.0ms	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)
43.0ms	(/.f64 F (sin.f64 B))

rewrite45.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
31×	`*-un-lft-identity_binary64`
31×	`add-cube-cbrt_binary64`
30×	`times-frac_binary64`
22×	`add-exp-log_binary64`

Counts

4 → 123

Calls

4 calls:

15.0ms	(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
6.0ms	(/.f64 x (tan.f64 B))
5.0ms	(/.f64 F (sin.f64 B))
3.0ms	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

simplify291.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

302×	`fma-def_binary64`
223×	`*-commutative_binary64`
221×	`associate-r_binary64`
218×	`fma-neg_binary64`
202×	`+-commutative_binary64`

Counts

203 → 271

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	500	5883
1	1360	5603
2	4518	5575
3	4984	5575
4	4932	5575

prune663.0ms (2.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	257	14	271
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	259	14	273

Error

0.0b

Counts

273 → 14

Alt Table

Status	Error	Program
	18.2b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (/.f64 x (.f64 (cbrt.f64 (tan.f64 B)) (cbrt.f64 (tan.f64 B)))) (cbrt.f64 (tan.f64 B))))
	40.0b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B)))))
	27.9b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	39.3b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x))))
	17.7b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2))) (/.f64 x (tan.f64 B)))
	31.8b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	17.7b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
	13.6b	(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	17.7b	(-.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 B) F)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 x (tan.f64 B)))
	17.7b	(-.f64 (.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4)) (sqrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B)))
▶	13.6b	(-.f64 (.f64 F (.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B)))
	17.8b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 x (/.f64 1 (tan.f64 B))))
	36.9b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
	17.7b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)))

Compiler

Compiled 10491 to 5890 computations (43.9% saved)

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 x (tan.f64 B))
✓	0.2b	(.f64 F (.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))
✓	0.4b	(*.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
	21.0b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series500.0ms (2.2%)

Counts

2 → 56

Calls

2 calls:

253.0ms	(*.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
246.0ms	(.f64 F (.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))

rewrite42.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`add-exp-log_binary64`
37×	`prod-exp_binary64`
30×	`add-sqr-sqrt_binary64`
16×	`associate-l_binary64`
16×	`add-cbrt-cube_binary64`

Counts

2 → 86

Calls

2 calls:

14.0ms	(*.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
12.0ms	(.f64 F (.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))

simplify201.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

672×	`times-frac_binary64`
344×	`cancel-sign-sub-inv_binary64`
245×	`sub-neg_binary64`
243×	`associate-r_binary64`
229×	`fma-def_binary64`

Counts

142 → 199

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	348	5119
1	965	4691
2	3155	4663
3	5182	4663

prune844.0ms (3.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	314	2	316
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	316	14	330

Error

0.0b

Counts

330 → 14

Alt Table

Status	Error	Program
	18.2b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (/.f64 x (.f64 (cbrt.f64 (tan.f64 B)) (cbrt.f64 (tan.f64 B)))) (cbrt.f64 (tan.f64 B))))
	40.0b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B)))))
▶	13.6b	(-.f64 (*.f64 F (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	27.9b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	39.3b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x))))
	17.7b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2))) (/.f64 x (tan.f64 B)))
	31.8b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	17.7b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
	17.7b	(-.f64 (.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4)) (sqrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B)))
✓	13.6b	(-.f64 (.f64 F (.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B)))
	32.1b	(-.f64 (.f64 F (/.f64 1 (.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
	17.8b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 x (/.f64 1 (tan.f64 B))))
	17.7b	(-.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 B) F)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 x (tan.f64 B)))
	17.7b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)))

Compiler

Compiled 13014 to 8014 computations (38.4% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 F (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (sin.f64 B)))
✓	0.4b	(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (sin.f64 B))
✓	0.6b	(/.f64 1 (fma.f64 F F 2))
✓	20.2b	(sqrt.f64 (/.f64 1 (fma.f64 F F 2)))

series183.0ms (0.8%)

Counts

4 → 72

Calls

4 calls:

86.0ms	(*.f64 F (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (sin.f64 B)))
78.0ms	(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (sin.f64 B))
12.0ms	(sqrt.f64 (/.f64 1 (fma.f64 F F 2)))
6.0ms	(/.f64 1 (fma.f64 F F 2))

rewrite91.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

185×	`times-frac_binary64`
129×	`add-sqr-sqrt_binary64`
112×	`*-un-lft-identity_binary64`
110×	`add-cube-cbrt_binary64`
107×	`sqrt-prod_binary64`

Counts

4 → 221

Calls

4 calls:

28.0ms	(*.f64 F (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (sin.f64 B)))
11.0ms	(/.f64 (sqrt.f64 (/.f64 1 (fma.f64 F F 2))) (sin.f64 B))
4.0ms	(/.f64 1 (fma.f64 F F 2))
4.0ms	(sqrt.f64 (/.f64 1 (fma.f64 F F 2)))

simplify373.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

829×	`fma-def_binary64`
291×	`cancel-sign-sub-inv_binary64`
255×	`fma-neg_binary64`
221×	`sub-neg_binary64`
194×	`neg-mul-1_binary64`

Counts

293 → 364

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	368	6951
1	924	6661
2	3009	6509
3	4612	6503
4	5031	6503

prune936.0ms (4.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	362	2	364
Fresh	2	10	12
Picked	1	0	1
Done	0	1	1
Total	365	13	378

Error

0.0b

Counts

378 → 13

Alt Table

Status	Error	Program
	18.2b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (/.f64 x (.f64 (cbrt.f64 (tan.f64 B)) (cbrt.f64 (tan.f64 B)))) (cbrt.f64 (tan.f64 B))))
	40.0b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B)))))
	27.9b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	39.3b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x))))
	31.8b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	17.7b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
	17.7b	(-.f64 (.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4)) (sqrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B)))
✓	13.6b	(-.f64 (.f64 F (.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B)))
	32.1b	(-.f64 (.f64 F (/.f64 1 (.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
	17.8b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 x (/.f64 1 (tan.f64 B))))
	28.1b	(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
▶	13.6b	(-.f64 (.f64 F (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (fma.f64 F F 2)))) (/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (fma.f64 F F 2)))) (sin.f64 B)))) (/.f64 x (tan.f64 B)))
	17.7b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)))

Compiler

Compiled 11188 to 6453 computations (42.3% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (fma.f64 F F 2)))) (/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (fma.f64 F F 2)))) (sin.f64 B)))
✓	0.3b	(/.f64 1 (sqrt.f64 (fma.f64 F F 2)))
✓	0.4b	(sqrt.f64 (/.f64 1 (sqrt.f64 (fma.f64 F F 2))))
✓	20.9b	(sqrt.f64 (fma.f64 F F 2))

series110.0ms (0.5%)

Counts

4 → 60

Calls

4 calls:

79.0ms	(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (fma.f64 F F 2)))) (/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (fma.f64 F F 2)))) (sin.f64 B)))
14.0ms	(sqrt.f64 (/.f64 1 (sqrt.f64 (fma.f64 F F 2))))
10.0ms	(/.f64 1 (sqrt.f64 (fma.f64 F F 2)))
7.0ms	(sqrt.f64 (fma.f64 F F 2))

rewrite188.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

275×	`times-frac_binary64`
269×	`add-sqr-sqrt_binary64`
263×	`sqrt-prod_binary64`
143×	`*-un-lft-identity_binary64`
115×	`add-cube-cbrt_binary64`

Counts

4 → 269

Calls

4 calls:

79.0ms	(*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (fma.f64 F F 2)))) (/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (fma.f64 F F 2)))) (sin.f64 B)))
6.0ms	(/.f64 1 (sqrt.f64 (fma.f64 F F 2)))
6.0ms	(sqrt.f64 (/.f64 1 (sqrt.f64 (fma.f64 F F 2))))
2.0ms	(sqrt.f64 (fma.f64 F F 2))

simplify457.0ms (2%)

Algorithm

1×	egg-herbie

Rules

914×	`times-frac_binary64`
651×	`fma-def_binary64`
252×	`fma-neg_binary64`
232×	`sub-neg_binary64`
152×	`associate-r_binary64`

Counts

329 → 410

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	355	9933
1	899	8805
2	2744	8686
3	4766	8686
4	4952	8686

prune1.7s (7.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	592	0	592
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	592	13	605

Error

0.0b

Counts

605 → 13

Alt Table

Status	Error	Program
	18.2b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (/.f64 x (.f64 (cbrt.f64 (tan.f64 B)) (cbrt.f64 (tan.f64 B)))) (cbrt.f64 (tan.f64 B))))
	40.0b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B)))))
	27.9b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	39.3b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x))))
	31.8b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	17.7b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
	17.7b	(-.f64 (.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4)) (sqrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B)))
✓	13.6b	(-.f64 (.f64 F (.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B)))
	32.1b	(-.f64 (.f64 F (/.f64 1 (.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
	17.8b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 x (/.f64 1 (tan.f64 B))))
	28.1b	(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (tan.f64 B)))
✓	13.6b	(-.f64 (.f64 F (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (fma.f64 F F 2)))) (/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (fma.f64 F F 2)))) (sin.f64 B)))) (/.f64 x (tan.f64 B)))
	17.7b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)))

Compiler

Compiled 22427 to 14464 computations (35.5% saved)

regimes5.4s (23.5%)

Accuracy

Total 0.2b remaining (77.7%)

Threshold costs 0.2b (77.7%)

Counts

324 → 3

Compiler

Compiled 33444 to 23808 computations (28.8% saved)

bsearch260.0ms (1.1%)

Steps

Iters	Range		Point
4	2.352762987045257	32143.66158857736	18027.297388658444
8	-4.837108757099465e+27	-9.762415032278476e+24	-9.931367753968863e+24

Compiler

Compiled 4 to 3 computations (25% saved)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	98
1	49	98
2	61	98
3	67	98
4	71	98
5	72	98
6	70	98

end2.0ms (0%)

Compiler: Compiled 68 to 40 computations (41.2% saved)

sample5.3s (23.1%)

Algorithm

1×

intervals

Results

2.5s	2218×	body	1024	valid
994.0ms	4149×	body	128	valid
732.0ms	1058×	body	512	valid
266.0ms	567×	body	256	valid
173.0ms	742×	body	128	invalid
24.0ms	117×	body	128	nan
18.0ms	8×	body	2048	valid

Compiler

Compiled 405 to 270 computations (33.3% saved)

Details

analyze4.4s (19.2%)

sample228.0ms (1%)

simplify72.0ms (0.3%)

prune10.0ms (0%)

localize33.0ms (0.1%)

series534.0ms (2.3%)

rewrite45.0ms (0.2%)

simplify291.0ms (1.3%)

prune663.0ms (2.9%)

localize68.0ms (0.3%)

series500.0ms (2.2%)

rewrite42.0ms (0.2%)

simplify201.0ms (0.9%)

prune844.0ms (3.7%)

localize27.0ms (0.1%)

series183.0ms (0.8%)

rewrite91.0ms (0.4%)

simplify373.0ms (1.6%)

prune936.0ms (4.1%)

localize31.0ms (0.1%)

series110.0ms (0.5%)

rewrite188.0ms (0.8%)

simplify457.0ms (2%)

prune1.7s (7.3%)

regimes5.4s (23.5%)

bsearch260.0ms (1.1%)

simplify10.0ms (0%)

end2.0ms (0%)

sample5.3s (23.1%)

Profiling