Details

analyze2.6s (20.1%)

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
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)

sample234.0ms (1.8%)

Algorithm

1×

intervals

Results

92.0ms	76×	body	1024	valid
21.0ms	126×	body	128	valid
20.0ms	35×	body	512	valid
6.0ms	19×	body	256	valid
3.0ms	18×	body	128	invalid
1.0ms	5×	body	128	nan

Compiler

Compiled 64 to 50 computations (21.9% saved)

simplify52.0ms (0.4%)

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

prune5.0ms (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

13.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	13.2b	(-.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)))
	13.3b	(+.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)))))

Status

Error

Program

▶

13.2b

(-.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)))

13.3b

(+.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)))))

Compiler

Compiled 153 to 108 computations (29.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (tan.f64 B))
✓	0.1b	(/.f64 F (sin.f64 B))
✓	6.5b	(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
✓	17.2b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series327.0ms (2.5%)

Counts

4 → 80

Calls

4 calls:

224.0ms	(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
43.0ms	(/.f64 x (tan.f64 B))
41.0ms	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)
19.0ms	(/.f64 F (sin.f64 B))

rewrite23.0ms (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:

8.0ms	(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
2.0ms	(/.f64 x (tan.f64 B))
2.0ms	(/.f64 F (sin.f64 B))
2.0ms	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

simplify164.0ms (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

prune466.0ms (3.6%)

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
	21.2b	(-.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2)) 3)) (/.f64 x (tan.f64 B)))
	34.9b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
	33.8b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	37.2b	(-.f64 (.f64 (/.f64 (.f64 (cbrt.f64 F) (cbrt.f64 F)) (sqrt.f64 (sin.f64 B))) (*.f64 (/.f64 (cbrt.f64 F) (sqrt.f64 (sin.f64 B))) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (/.f64 x (tan.f64 B)))
	13.3b	(-.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))))
	37.3b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)) (/.f64 x (tan.f64 B)))
▶	11.0b	(-.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)))
	13.2b	(-.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)))
	13.5b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (cbrt.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) (cbrt.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)))
	13.8b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 (*.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) (cbrt.f64 (/.f64 x (tan.f64 B)))) (cbrt.f64 (/.f64 x (tan.f64 B)))))
	13.2b	(-.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)))
	30.3b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	13.2b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 1 (/.f64 (tan.f64 B) x)))
	34.8b	(-.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 (sqrt.f64 x) (tan.f64 B))))

Compiler

Compiled 10541 to 5914 computations (43.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.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))
	17.2b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series325.0ms (2.5%)

Counts

2 → 56

Calls

2 calls:

184.0ms	(.f64 F (.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))
141.0ms	(*.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))

rewrite24.0ms (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:

9.0ms	(*.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
7.0ms	(.f64 F (.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))

simplify116.0ms (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

prune461.0ms (3.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	313	3	316
Fresh	3	10	13
Picked	0	1	1
Done	0	0	0
Total	316	14	330

Error

0.0b

Counts

330 → 14

Alt Table

Status	Error	Program
	13.8b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 (*.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) (cbrt.f64 (/.f64 x (tan.f64 B)))) (cbrt.f64 (/.f64 x (tan.f64 B)))))
	22.5b	(-.f64 (*.f64 F (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2) (sin.f64 B))))) (/.f64 x (tan.f64 B)))
	33.8b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
▶	11.0b	(-.f64 (/.f64 (.f64 F (.f64 1 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	13.3b	(-.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))))
	37.3b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)) (/.f64 x (tan.f64 B)))
✓	11.0b	(-.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)))
	13.2b	(-.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)))
	34.9b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
	13.2b	(-.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)))
	30.3b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	13.2b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 1 (/.f64 (tan.f64 B) x)))
	35.8b	(-.f64 (.f64 F (/.f64 -1 (.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
	34.8b	(-.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 (sqrt.f64 x) (tan.f64 B))))

Compiler

Compiled 12968 to 7986 computations (38.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 x (tan.f64 B))
✓	0.3b	(.f64 F (.f64 1 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))
✓	0.6b	(/.f64 (.f64 F (.f64 1 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (sin.f64 B))
	17.2b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series213.0ms (1.6%)

Counts

2 → 44

Calls

2 calls:

140.0ms	(/.f64 (.f64 F (.f64 1 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (sin.f64 B))
72.0ms	(.f64 F (.f64 1 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))

rewrite19.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-exp-log_binary64`
26×	`prod-exp_binary64`
16×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
6×	`cbrt-unprod_binary64`

Counts

2 → 54

Calls

2 calls:

9.0ms	(.f64 F (.f64 1 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))
6.0ms	(/.f64 (.f64 F (.f64 1 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (sin.f64 B))

simplify150.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

831×	`fma-def_binary64`
320×	`cancel-sign-sub-inv_binary64`
259×	`sub-neg_binary64`
258×	`fma-neg_binary64`
170×	`associate-r_binary64`

Counts

98 → 146

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	291	3497
1	807	3194
2	2822	3182
3	4783	3146
4	4965	3146
5	4998	3146
6	4947	3146

prune377.0ms (2.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	262	1	263
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	263	14	277

Error

0.0b

Counts

277 → 14

Alt Table

Status	Error	Program
	33.8b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
✓	11.0b	(-.f64 (/.f64 (.f64 F (.f64 1 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	13.3b	(-.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))))
	37.3b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)) (/.f64 x (tan.f64 B)))
✓	11.0b	(-.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)))
	13.2b	(-.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)))
	13.8b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 (*.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) (cbrt.f64 (/.f64 x (tan.f64 B)))) (cbrt.f64 (/.f64 x (tan.f64 B)))))
▶	11.0b	(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	34.9b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
	13.2b	(-.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)))
	30.3b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	13.2b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 1 (/.f64 (tan.f64 B) x)))
	35.8b	(-.f64 (.f64 F (/.f64 -1 (.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
	34.8b	(-.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 (sqrt.f64 x) (tan.f64 B))))

Compiler

Compiled 10744 to 6667 computations (37.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 x (tan.f64 B))
✓	0.2b	(*.f64 F (/.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (sin.f64 B)))
✓	0.4b	(/.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (sin.f64 B))
✓	17.2b	(pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)

series318.0ms (2.5%)

Counts

3 → 80

Calls

3 calls:

141.0ms	(*.f64 F (/.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (sin.f64 B)))
133.0ms	(/.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (sin.f64 B))
44.0ms	(pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64`
45×	`times-frac_binary64`
36×	`*-un-lft-identity_binary64`
36×	`add-cube-cbrt_binary64`
25×	`associate-r_binary64`

Counts

3 → 116

Calls

3 calls:

9.0ms	(*.f64 F (/.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (sin.f64 B)))
3.0ms	(/.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (sin.f64 B))
2.0ms	(pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2)

simplify126.0ms (1%)

Algorithm

1×	egg-herbie

Rules

348×	`fma-def_binary64`
243×	`associate-r_binary64`
229×	`associate-/l*_binary64`
215×	`associate-/r*_binary64`
208×	`associate-l_binary64`

Counts

196 → 268

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	532	7772
1	1485	7218
2	4964	7218

prune439.0ms (3.4%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	309	0	309
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	309	14	323

Error

0.0b

Counts

323 → 14

Alt Table

Status	Error	Program
	33.8b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
✓	11.0b	(-.f64 (/.f64 (.f64 F (.f64 1 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	13.3b	(-.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))))
	37.3b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)) (/.f64 x (tan.f64 B)))
✓	11.0b	(-.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)))
	13.2b	(-.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)))
	13.8b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 (*.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) (cbrt.f64 (/.f64 x (tan.f64 B)))) (cbrt.f64 (/.f64 x (tan.f64 B)))))
✓	11.0b	(-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 F F (fma.f64 2 x 2)) -1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	34.9b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
	13.2b	(-.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)))
	30.3b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	13.2b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 1 (/.f64 (tan.f64 B) x)))
	35.8b	(-.f64 (.f64 F (/.f64 -1 (.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
	34.8b	(-.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 (sqrt.f64 x) (tan.f64 B))))

Compiler

Compiled 12452 to 7443 computations (40.2% saved)

regimes2.1s (16.1%)

Accuracy

Total 0.2b remaining (81.3%)

Threshold costs 0.2b (81.3%)

Counts

189 → 3

Compiler

Compiled 19908 to 13616 computations (31.6% saved)

bsearch185.0ms (1.4%)

Steps

Iters	Range		Point
9	33.58713979508021	6059402509.911539	146773384.82234237
9	-9833550767.835484	-14.812460998244712	-118480103.55013494

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	84
1	41	84
2	48	84
3	52	84
4	55	84
5	56	84
6	55	84

end1.0ms (0%)

Compiler: Compiled 59 to 35 computations (40.7% saved)

sample4.1s (32%)

Algorithm

1×

intervals

Results

1.9s	2287×	body	1024	valid
750.0ms	4068×	body	128	valid
584.0ms	1125×	body	512	valid
172.0ms	511×	body	256	valid
104.0ms	626×	body	128	invalid
17.0ms	122×	body	128	nan
14.0ms	9×	body	2048	valid
1.0ms	1×	body	1024	invalid

Compiler

Compiled 403 to 271 computations (32.8% saved)

Details

analyze2.6s (20.1%)

sample234.0ms (1.8%)

simplify52.0ms (0.4%)

prune5.0ms (0%)

localize17.0ms (0.1%)

series327.0ms (2.5%)

rewrite23.0ms (0.2%)

simplify164.0ms (1.3%)

prune466.0ms (3.6%)

localize17.0ms (0.1%)

series325.0ms (2.5%)

rewrite24.0ms (0.2%)

simplify116.0ms (0.9%)

prune461.0ms (3.6%)

localize17.0ms (0.1%)

series213.0ms (1.6%)

rewrite19.0ms (0.1%)

simplify150.0ms (1.2%)

prune377.0ms (2.9%)

localize16.0ms (0.1%)

series318.0ms (2.5%)

rewrite23.0ms (0.2%)

simplify126.0ms (1%)

prune439.0ms (3.4%)

regimes2.1s (16.1%)

bsearch185.0ms (1.4%)

simplify4.0ms (0%)

end1.0ms (0%)

sample4.1s (32%)

Profiling