Details

analyze2.1s (14.3%)

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)

sample5.1s (34.2%)

Results

2.5s	2251×	body	1024	valid
1.1s	4313×	body	128	valid
768.0ms	1116×	body	512	valid
317.0ms	568×	body	256	valid
305.0ms	835×	body	128	invalid
13.0ms	8×	body	2048	valid
1.0ms	1×	body	1024	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 92 to 71 computations (22.8% saved)

simplify53.0ms (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

10.8b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	10.8b	(-.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)))
	10.9b	(+.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

▶

10.8b

(-.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)))

10.9b

(+.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)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (tan.f64 B))
✓	0.2b	(/.f64 F (sin.f64 B))
✓	5.0b	(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
✓	16.6b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series242.0ms (1.6%)

Counts

4 → 80

Calls

4 calls:

142.0ms	(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
41.0ms	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)
40.0ms	(/.f64 x (tan.f64 B))
18.0ms	(/.f64 F (sin.f64 B))

rewrite26.0ms (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	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)
7.0ms	(*.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))

simplify172.0ms (1.2%)

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

prune350.0ms (2.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	260	11	271
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	262	11	273

Error

0.0b

Counts

273 → 11

Alt Table

Status	Error	Program
	19.0b	(-.f64 (cbrt.f64 (.f64 (.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) (/.f64 x (tan.f64 B)))
	11.4b	(-.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))))
	8.9b	(-.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)))
	29.6b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
▶	8.9b	(-.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)))
	11.5b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (tan.f64 B) (cbrt.f64 x))))
	10.8b	(-.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)))
	10.9b	(-.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))))
	10.9b	(-.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)))
	10.9b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4) (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4))) (/.f64 x (tan.f64 B)))
	29.7b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Compiler

Compiled 10393 to 5818 computations (44% saved)

localize18.0ms (0.1%)

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))
	16.6b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series283.0ms (1.9%)

Counts

2 → 56

Calls

2 calls:

143.0ms	(.f64 F (.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))
140.0ms	(*.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 F (.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))
8.0ms	(*.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))

simplify146.0ms (1%)

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

prune451.0ms (3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	314	2	316
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	316	11	327

Error

0.0b

Counts

327 → 11

Alt Table

Status	Error	Program
	29.6b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	8.9b	(-.f64 (.f64 F (.f64 (/.f64 (pow.f64 (sqrt.f64 (fma.f64 2 x (fma.f64 F F 2))) -1/2) (sin.f64 B)) (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2))) (/.f64 x (tan.f64 B)))
	11.4b	(-.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))))
▶	8.9b	(-.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)))
	18.3b	(-.f64 (cbrt.f64 (pow.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2) (sin.f64 B))) 3)) (/.f64 x (tan.f64 B)))
✓	8.9b	(-.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)))
	11.5b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (tan.f64 B) (cbrt.f64 x))))
	10.8b	(-.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)))
	10.9b	(-.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))))
	10.9b	(-.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)))
	29.7b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Compiler

Compiled 12868 to 7920 computations (38.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 x (tan.f64 B))
✓	0.2b	(*.f64 F (/.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2) (sin.f64 B)))
✓	0.3b	(/.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2) (sin.f64 B))
✓	16.6b	(pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2)

series329.0ms (2.2%)

Counts

3 → 80

Calls

3 calls:

146.0ms	(*.f64 F (/.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2) (sin.f64 B)))
138.0ms	(/.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2) (sin.f64 B))
44.0ms	(pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2)

rewrite24.0ms (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:

8.0ms	(*.f64 F (/.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2) (sin.f64 B)))
4.0ms	(/.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2) (sin.f64 B))
2.0ms	(pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2)

simplify170.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

347×	`fma-def_binary64`
295×	`fma-neg_binary64`
245×	`associate-r_binary64`
228×	`associate-/l*_binary64`
215×	`associate-/r*_binary64`

Counts

196 → 268

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	532	7772
1	1482	7320
2	4983	7320
3	5199	7320

prune429.0ms (2.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	309	0	309
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	309	11	320

Error

0.0b

Counts

320 → 11

Alt Table

Status	Error	Program
	29.6b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
▶	8.9b	(-.f64 (.f64 F (.f64 (/.f64 (pow.f64 (sqrt.f64 (fma.f64 2 x (fma.f64 F F 2))) -1/2) (sin.f64 B)) (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2))) (/.f64 x (tan.f64 B)))
	11.4b	(-.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))))
✓	8.9b	(-.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)))
	18.3b	(-.f64 (cbrt.f64 (pow.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2) (sin.f64 B))) 3)) (/.f64 x (tan.f64 B)))
✓	8.9b	(-.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)))
	11.5b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (tan.f64 B) (cbrt.f64 x))))
	10.8b	(-.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)))
	10.9b	(-.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))))
	10.9b	(-.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)))
	29.7b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Compiler

Compiled 12694 to 7610 computations (40.1% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (pow.f64 (sqrt.f64 (fma.f64 2 x (fma.f64 F F 2))) -1/2) (sin.f64 B))
✓	0.4b	(*.f64 (/.f64 (pow.f64 (sqrt.f64 (fma.f64 2 x (fma.f64 F F 2))) -1/2) (sin.f64 B)) (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2))
✓	16.6b	(sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))
✓	16.6b	(sqrt.f64 (fma.f64 2 x (fma.f64 F F 2)))

series1.8s (12.1%)

Counts

4 → 104

Calls

4 calls:

1.2s	(*.f64 (/.f64 (pow.f64 (sqrt.f64 (fma.f64 2 x (fma.f64 F F 2))) -1/2) (sin.f64 B)) (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2))
537.0ms	(/.f64 (pow.f64 (sqrt.f64 (fma.f64 2 x (fma.f64 F F 2))) -1/2) (sin.f64 B))
33.0ms	(sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))
30.0ms	(sqrt.f64 (fma.f64 2 x (fma.f64 F F 2)))

rewrite43.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

101×	`add-sqr-sqrt_binary64`
76×	`times-frac_binary64`
66×	`unpow-prod-down_binary64`
52×	`*-un-lft-identity_binary64`
52×	`add-cube-cbrt_binary64`

Counts

4 → 178

Calls

4 calls:

12.0ms	(*.f64 (/.f64 (pow.f64 (sqrt.f64 (fma.f64 2 x (fma.f64 F F 2))) -1/2) (sin.f64 B)) (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2))
5.0ms	(/.f64 (pow.f64 (sqrt.f64 (fma.f64 2 x (fma.f64 F F 2))) -1/2) (sin.f64 B))
1.0ms	(sqrt.f64 (fma.f64 2 x (fma.f64 F F 2)))
1.0ms	(sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2)))

simplify333.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

415×	`*-commutative_binary64`
298×	`times-frac_binary64`
266×	`+-commutative_binary64`
232×	`fma-def_binary64`
199×	`associate-+r+_binary64`

Counts

282 → 369

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1171	17351
1	3699	16642
2	4984	16642
3	4924	16642

prune778.0ms (5.2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	369	0	369
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	369	11	380

Error

0.0b

Counts

380 → 11

Alt Table

Status	Error	Program
	29.6b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
✓	8.9b	(-.f64 (.f64 F (.f64 (/.f64 (pow.f64 (sqrt.f64 (fma.f64 2 x (fma.f64 F F 2))) -1/2) (sin.f64 B)) (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2))) (/.f64 x (tan.f64 B)))
	11.4b	(-.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))))
✓	8.9b	(-.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)))
	18.3b	(-.f64 (cbrt.f64 (pow.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2) (sin.f64 B))) 3)) (/.f64 x (tan.f64 B)))
✓	8.9b	(-.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)))
	11.5b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (tan.f64 B) (cbrt.f64 x))))
	10.8b	(-.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)))
	10.9b	(-.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))))
	10.9b	(-.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)))
	29.7b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Compiler

Compiled 26366 to 17469 computations (33.7% saved)

regimes1.6s (10.5%)

Accuracy

Total 0.2b remaining (77.4%)

Threshold costs 0.2b (77.4%)

Counts

182 → 3

Compiler

Compiled 20936 to 14360 computations (31.4% saved)

bsearch165.0ms (1.1%)

Steps

Iters	Range		Point
5	0.008463844253899424	2149153837086.8728	200098337.16463616
9	-2.2598587931480683e+32	-30670068559557460.0	-32523940678871004.0

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	68
1	36	68
2	43	68
3	47	68
4	50	68
5	51	68
6	50	68

end219.0ms (1.5%)

Compiler: Compiled 356 to 234 computations (34.3% saved)

Details

analyze2.1s (14.3%)

sample5.1s (34.2%)

simplify53.0ms (0.4%)

prune5.0ms (0%)

localize16.0ms (0.1%)

series242.0ms (1.6%)

rewrite26.0ms (0.2%)

simplify172.0ms (1.2%)

prune350.0ms (2.3%)

localize18.0ms (0.1%)

series283.0ms (1.9%)

rewrite24.0ms (0.2%)

simplify146.0ms (1%)

prune451.0ms (3%)

localize16.0ms (0.1%)

series329.0ms (2.2%)

rewrite24.0ms (0.2%)

simplify170.0ms (1.1%)

prune429.0ms (2.9%)

localize24.0ms (0.2%)

series1.8s (12.1%)

rewrite43.0ms (0.3%)

simplify333.0ms (2.2%)

prune778.0ms (5.2%)

regimes1.6s (10.5%)

bsearch165.0ms (1.1%)

simplify4.0ms (0%)

end219.0ms (1.5%)

Profiling