Details

analyze2.1s (15.9%)

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 (38.8%)

Results

2.6s	2291×	body	1024	valid
1.1s	4190×	body	128	valid
847.0ms	1208×	body	512	valid
366.0ms	562×	body	256	valid
183.0ms	778×	body	128	invalid
8.0ms	5×	body	2048	valid

Compiler

Compiled 92 to 71 computations (22.8% 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

prune6.0ms (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
	10.9b	(+.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)))))
▶	10.9b	(-.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

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)))))

▶

10.9b

(-.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)

localize16.0ms (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))
✓	6.0b	(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
✓	15.8b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series233.0ms (1.8%)

Counts

4 → 80

Calls

4 calls:

132.0ms	(*.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))
42.0ms	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)
15.0ms	(/.f64 F (sin.f64 B))

rewrite21.0ms (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:

7.0ms	(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
4.0ms	(/.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)

simplify163.0ms (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

prune414.0ms (3.1%)

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
	31.5b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	11.1b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) (/.f64 x (tan.f64 B)))
	31.9b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	13.5b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2) 3))) (/.f64 x (tan.f64 B)))
	37.4b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 (/.f64 1 (sqrt.f64 (tan.f64 B))) (/.f64 x (sqrt.f64 (tan.f64 B)))))
	37.5b	(-.f64 (.f64 (/.f64 (sqrt.f64 F) 1) (.f64 (/.f64 (sqrt.f64 F) (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 1 (*.f64 (cbrt.f64 (tan.f64 B)) (cbrt.f64 (tan.f64 B)))) (/.f64 x (cbrt.f64 (tan.f64 B)))))
	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)))
	38.0b	(-.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (.f64 F F) F) (.f64 (.f64 (sin.f64 B) (sin.f64 B)) (sin.f64 B))) (.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) (/.f64 x (tan.f64 B)))
	35.3b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)) (/.f64 x (tan.f64 B)))
▶	8.2b	(-.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)))
	11.5b	(-.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))))
	10.9b	(-.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))))

Compiler

Compiled 10591 to 5956 computations (43.8% saved)

localize17.0ms (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)))
✓	0.4b	(/.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2) (sin.f64 B))
✓	15.8b	(pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2)

series295.0ms (2.2%)

Counts

3 → 80

Calls

3 calls:

128.0ms	(/.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2) (sin.f64 B))
127.0ms	(*.f64 F (/.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2) (sin.f64 B)))
40.0ms	(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)))
3.0ms	(/.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2) (sin.f64 B))
3.0ms	(pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2)

simplify155.0ms (1.2%)

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

prune478.0ms (3.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	306	3	309
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	308	15	323

Error

0.0b

Counts

323 → 15

Alt Table

Status	Error	Program
	31.5b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	11.1b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) (/.f64 x (tan.f64 B)))
	31.9b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	13.5b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2) 3))) (/.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 x (.f64 (cbrt.f64 (tan.f64 B)) (cbrt.f64 (tan.f64 B)))) (cbrt.f64 (tan.f64 B))))
▶	8.3b	(-.f64 (.f64 F (/.f64 (.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)) (sin.f64 B))) (/.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 1 (*.f64 (cbrt.f64 (tan.f64 B)) (cbrt.f64 (tan.f64 B)))) (/.f64 x (cbrt.f64 (tan.f64 B)))))
	32.1b	(-.f64 (.f64 F (/.f64 1 (.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
	38.0b	(-.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (.f64 F F) F) (.f64 (.f64 (sin.f64 B) (sin.f64 B)) (sin.f64 B))) (.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) (/.f64 x (tan.f64 B)))
	35.3b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)) (/.f64 x (tan.f64 B)))
✓	8.2b	(-.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)))
	31.8b	(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (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 (/.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))))
	37.4b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 (/.f64 1 (sqrt.f64 (tan.f64 B))) (/.f64 x (sqrt.f64 (tan.f64 B)))))

Compiler

Compiled 12976 to 7795 computations (39.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 F (/.f64 (.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)) (sin.f64 B)))
✓	0.4b	(/.f64 (*.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)) (sin.f64 B))
✓	0.6b	(*.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))
✓	16.3b	(pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4)

series347.0ms (2.6%)

Counts

4 → 96

Calls

4 calls:

131.0ms	(.f64 F (/.f64 (.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)) (sin.f64 B)))
119.0ms	(/.f64 (*.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)) (sin.f64 B))
54.0ms	(*.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))
42.0ms	(pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4)

rewrite32.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-exp-log_binary64`
38×	`prod-exp_binary64`
35×	`add-sqr-sqrt_binary64`
21×	`unpow-prod-down_binary64`
20×	`div-exp_binary64`

Counts

4 → 142

Calls

4 calls:

8.0ms	(*.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))
7.0ms	(.f64 F (/.f64 (.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)) (sin.f64 B)))
5.0ms	(/.f64 (*.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)) (sin.f64 B))
1.0ms	(pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4)

simplify177.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

872×	`fma-def_binary64`
279×	`associate-l_binary64`
259×	`associate-/r*_binary64`
248×	`associate-/l*_binary64`
200×	`times-frac_binary64`

Counts

238 → 335

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	653	9160
1	1850	8483
2	4930	8454
3	5304	8454

prune704.0ms (5.3%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	402	0	402
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	402	15	417

Error

0.0b

Counts

417 → 15

Alt Table

Status	Error	Program
	31.5b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	11.1b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) (/.f64 x (tan.f64 B)))
	31.9b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	13.5b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2) 3))) (/.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 x (.f64 (cbrt.f64 (tan.f64 B)) (cbrt.f64 (tan.f64 B)))) (cbrt.f64 (tan.f64 B))))
✓	8.3b	(-.f64 (.f64 F (/.f64 (.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)) (sin.f64 B))) (/.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 1 (*.f64 (cbrt.f64 (tan.f64 B)) (cbrt.f64 (tan.f64 B)))) (/.f64 x (cbrt.f64 (tan.f64 B)))))
	32.1b	(-.f64 (.f64 F (/.f64 1 (.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))
	38.0b	(-.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (.f64 F F) F) (.f64 (.f64 (sin.f64 B) (sin.f64 B)) (sin.f64 B))) (.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) (/.f64 x (tan.f64 B)))
	35.3b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)) (/.f64 x (tan.f64 B)))
✓	8.2b	(-.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)))
	31.8b	(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (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 (/.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))))
	37.4b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 (/.f64 1 (sqrt.f64 (tan.f64 B))) (/.f64 x (sqrt.f64 (tan.f64 B)))))

Compiler

Compiled 20497 to 13236 computations (35.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (sin.f64 B))
✓	0.2b	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
	6.0b	(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
	15.8b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series35.0ms (0.3%)

Counts

2 → 28

Calls

2 calls:

21.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
14.0ms	(/.f64 x (sin.f64 B))

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`times-frac_binary64`
18×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
13×	`associate-l_binary64`

Counts

2 → 63

Calls

2 calls:

5.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
2.0ms	(/.f64 x (sin.f64 B))

simplify99.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

474×	`associate-/r*_binary64`
343×	`cancel-sign-sub-inv_binary64`
334×	`associate-/r/_binary64`
307×	`associate-l_binary64`
257×	`associate-r_binary64`

Counts

91 → 102

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	123	1278
1	290	1176
2	772	1163
3	2381	1163
4	4322	1163
5	4648	1163
6	4945	1163

prune397.0ms (3%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	290	1	291
Fresh	2	10	12
Picked	0	1	1
Done	0	2	2
Total	292	14	306

Error

0.0b

Counts

306 → 14

Alt Table

Status	Error	Program
	31.5b	(-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	11.1b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) (/.f64 x (tan.f64 B)))
	31.9b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	13.5b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2) 3))) (/.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 x (.f64 (cbrt.f64 (tan.f64 B)) (cbrt.f64 (tan.f64 B)))) (cbrt.f64 (tan.f64 B))))
✓	8.3b	(-.f64 (.f64 F (/.f64 (.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)) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	38.0b	(-.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (.f64 F F) F) (.f64 (.f64 (sin.f64 B) (sin.f64 B)) (sin.f64 B))) (.f64 (*.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) (/.f64 x (tan.f64 B)))
	35.3b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 -1 F)) (/.f64 x (tan.f64 B)))
✓	8.2b	(-.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)))
	31.8b	(-.f64 (*.f64 F (/.f64 (/.f64 -1 F) (sin.f64 B))) (/.f64 x (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 (/.f64 x (sin.f64 B)) (cos.f64 B)))
	37.4b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (.f64 (/.f64 1 (sqrt.f64 (tan.f64 B))) (/.f64 x (sqrt.f64 (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 x (/.f64 (cos.f64 B) (sin.f64 B))))
	32.1b	(-.f64 (.f64 F (/.f64 1 (.f64 (sin.f64 B) F))) (/.f64 x (tan.f64 B)))

Compiler

Compiled 11619 to 5945 computations (48.8% saved)

regimes1.9s (14.5%)

Accuracy

Total 0.2b remaining (81.7%)

Threshold costs 0.2b (81.7%)

Counts

264 → 3

Compiler

Compiled 31756 to 21280 computations (33% saved)

bsearch95.0ms (0.7%)

Steps

Iters	Range		Point
4	1.9364558715350712e+46	2.3347532294840306e+50	3.5235327557955035e+46
4	-4.8179249921160045e+44	-2.311468214312411e+43	-2.912720275885683e+43

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	73
1	40	73
2	51	73
3	64	73
4	72	73
5	76	73
6	77	73
7	76	73

end260.0ms (2%)

Compiler: Compiled 461 to 301 computations (34.7% saved)

Details

analyze2.1s (15.9%)

sample5.1s (38.8%)

simplify52.0ms (0.4%)

prune6.0ms (0%)

localize16.0ms (0.1%)

series233.0ms (1.8%)

rewrite21.0ms (0.2%)

simplify163.0ms (1.2%)

prune414.0ms (3.1%)

localize17.0ms (0.1%)

series295.0ms (2.2%)

rewrite24.0ms (0.2%)

simplify155.0ms (1.2%)

prune478.0ms (3.6%)

localize20.0ms (0.1%)

series347.0ms (2.6%)

rewrite32.0ms (0.2%)

simplify177.0ms (1.3%)

prune704.0ms (5.3%)

localize16.0ms (0.1%)

series35.0ms (0.3%)

rewrite10.0ms (0.1%)

simplify99.0ms (0.8%)

prune397.0ms (3%)

regimes1.9s (14.5%)

bsearch95.0ms (0.7%)

simplify4.0ms (0%)

end260.0ms (2%)

Profiling