Details

analyze2.5s (14.9%)

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)

sample212.0ms (1.3%)

Algorithm

1×

intervals

Results

64.0ms	71×	body	1024	valid
22.0ms	41×	body	512	valid
22.0ms	128×	body	128	valid
5.0ms	15×	body	256	valid
4.0ms	25×	body	128	invalid
2.0ms	1×	body	2048	valid
1.0ms	4×	body	128	nan

Compiler

Compiled 64 to 50 computations (21.9% saved)

simplify54.0ms (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

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

13.7b

Counts

3 → 2

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 x (tan.f64 B)))
	13.8b	(+.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)))))

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 x (tan.f64 B)))

13.8b

(+.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)))))

Compiler

Compiled 153 to 108 computations (29.4% saved)

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (tan.f64 B))
✓	0.2b	(/.f64 F (sin.f64 B))
✓	6.0b	(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
✓	17.3b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)

series304.0ms (1.8%)

Counts

4 → 80

Calls

4 calls:

202.0ms	(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
46.0ms	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)
40.0ms	(/.f64 x (tan.f64 B))
16.0ms	(/.f64 F (sin.f64 B))

rewrite20.0ms (0.1%)

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))
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)

simplify166.0ms (1%)

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

prune412.0ms (2.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	259	12	271
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	261	12	273

Error

0.0b

Counts

273 → 12

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 x (/.f64 1 (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 x (sin.f64 B)) (cos.f64 B)))
	48.7b	(-.f64 (-.f64 (+.f64 (/.f64 x (.f64 (.f64 F F) (sin.f64 B))) (fma.f64 15/2 (/.f64 x (.f64 (pow.f64 F 6) (sin.f64 B))) (fma.f64 5/2 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 F 6) (sin.f64 B))) (fma.f64 15/2 (/.f64 (.f64 x x) (.f64 (pow.f64 F 6) (sin.f64 B))) (+.f64 (/.f64 1 (.f64 (.f64 F F) (sin.f64 B))) (/.f64 5/2 (.f64 (pow.f64 F 6) (sin.f64 B)))))))) (+.f64 (/.f64 1 (sin.f64 B)) (fma.f64 3/2 (/.f64 (.f64 x x) (.f64 (pow.f64 F 4) (sin.f64 B))) (fma.f64 3 (/.f64 x (.f64 (pow.f64 F 4) (sin.f64 B))) (/.f64 3/2 (*.f64 (pow.f64 F 4) (sin.f64 B))))))) (/.f64 x (tan.f64 B)))
	34.3b	(-.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 (sqrt.f64 x) (tan.f64 B))))
▶	13.7b	(-.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)))
	13.8b	(-.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)))
	14.0b	(-.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)))
	39.2b	(-.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)))))
	31.8b	(-.f64 (/.f64 1 (sin.f64 B)) (/.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 x (cos.f64 B)) (sin.f64 B)))
	35.9b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.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 1 (/.f64 (tan.f64 B) x)))

Compiler

Compiled 10627 to 5958 computations (43.9% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.9b	(.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)))
✓	3.3b	(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4))
	17.3b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)
✓	17.8b	(pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4)

series1.9s (11.6%)

Counts

3 → 96

Calls

3 calls:

1.3s

(*.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)))

545.0ms

(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4))

50.0ms

(pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4)

rewrite25.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-exp-log_binary64`
30×	`add-sqr-sqrt_binary64`
19×	`prod-exp_binary64`
17×	`associate-r_binary64`
17×	`add-cbrt-cube_binary64`

Counts

3 → 97

Calls

3 calls:

10.0ms

(*.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)))

7.0ms

(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4))

2.0ms

(pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4)

simplify235.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

465×	`*-commutative_binary64`
461×	`times-frac_binary64`
298×	`+-commutative_binary64`
260×	`fma-def_binary64`
219×	`associate-+r+_binary64`

Counts

193 → 288

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1249	15031
1	4132	14756
2	5055	14756

prune1.4s (8.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	362	2	364
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	364	12	376

Error

0.0b

Counts

376 → 12

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 x (/.f64 1 (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 x (sin.f64 B)) (cos.f64 B)))
	38.7b	(-.f64 (-.f64 (+.f64 (/.f64 x (.f64 (sin.f64 B) (pow.f64 F 2))) (/.f64 1 (.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B))) (/.f64 x (tan.f64 B)))
	31.8b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	34.3b	(-.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 (sqrt.f64 x) (tan.f64 B))))
✓	13.7b	(-.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)))
	13.8b	(-.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)))
▶	11.0b	(-.f64 (/.f64 (.f64 (.f64 F (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))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	39.2b	(-.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)))))
	13.8b	(-.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)))
	35.9b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.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 1 (/.f64 (tan.f64 B) x)))

Compiler

Compiled 28308 to 18919 computations (33.2% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(sqrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))
✓	0.5b	(/.f64 (.f64 (.f64 F (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))) (sin.f64 B))
	17.3b	(pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)
	17.8b	(pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4)

series1.2s (7.5%)

Counts

2 → 60

Calls

2 calls:

1.2s	(/.f64 (.f64 (.f64 F (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))) (sin.f64 B))
54.0ms	(sqrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
7×	`sqrt-prod_binary64`
7×	`prod-exp_binary64`

Counts

2 → 48

Calls

2 calls:

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

simplify166.0ms (1%)

Algorithm

1×	egg-herbie

Rules

505×	`associate-/l*_binary64`
347×	`*-commutative_binary64`
342×	`times-frac_binary64`
238×	`+-commutative_binary64`
208×	`fma-def_binary64`

Counts

108 → 176

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	987	10681
1	3234	10030
2	5385	10030

prune674.0ms (4.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	318	0	318
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	318	12	330

Error

0.0b

Counts

330 → 12

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 x (/.f64 1 (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 x (sin.f64 B)) (cos.f64 B)))
	38.7b	(-.f64 (-.f64 (+.f64 (/.f64 x (.f64 (sin.f64 B) (pow.f64 F 2))) (/.f64 1 (.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B))) (/.f64 x (tan.f64 B)))
	31.8b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	34.3b	(-.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 (sqrt.f64 x) (tan.f64 B))))
✓	13.7b	(-.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)))
▶	13.8b	(-.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)))
✓	11.0b	(-.f64 (/.f64 (.f64 (.f64 F (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))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	39.2b	(-.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)))))
	13.8b	(-.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)))
	35.9b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.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 1 (/.f64 (tan.f64 B) x)))

Compiler

Compiled 25196 to 17472 computations (30.7% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 F (sin.f64 B))
✓	0.7b	(*.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))
✓	6.0b	(.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)))
	17.8b	(pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/4)

series186.0ms (1.1%)

Counts

2 → 44

Calls

2 calls:

137.0ms

(*.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)))

49.0ms

(*.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))

rewrite25.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`add-exp-log_binary64`
47×	`prod-exp_binary64`
32×	`add-sqr-sqrt_binary64`
20×	`associate-l_binary64`
18×	`unpow-prod-down_binary64`

Counts

2 → 106

Calls

2 calls:

8.0ms

(*.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)))

5.0ms

(*.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))

simplify168.0ms (1%)

Algorithm

1×	egg-herbie

Rules

774×	`fma-def_binary64`
469×	`times-frac_binary64`
311×	`associate-r_binary64`
262×	`fma-neg_binary64`
240×	`sub-neg_binary64`

Counts

150 → 205

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	4970
1	887	4480
2	3084	4407
3	4827	4407
4	4991	4407
5	4893	4407

prune592.0ms (3.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	378	0	378
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	378	12	390

Error

0.0b

Counts

390 → 12

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 x (/.f64 1 (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 x (sin.f64 B)) (cos.f64 B)))
	38.7b	(-.f64 (-.f64 (+.f64 (/.f64 x (.f64 (sin.f64 B) (pow.f64 F 2))) (/.f64 1 (.f64 (sin.f64 B) (pow.f64 F 2)))) (/.f64 1 (sin.f64 B))) (/.f64 x (tan.f64 B)))
	31.8b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	34.3b	(-.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 (sqrt.f64 x) (tan.f64 B))))
✓	13.7b	(-.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)))
✓	13.8b	(-.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)))
✓	11.0b	(-.f64 (/.f64 (.f64 (.f64 F (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))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	39.2b	(-.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)))))
	13.8b	(-.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)))
	35.9b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.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 1 (/.f64 (tan.f64 B) x)))

Compiler

Compiled 18786 to 11653 computations (38% saved)

regimes1.9s (11.3%)

Accuracy

Total 0.2b remaining (80.3%)

Threshold costs 0.2b (80.3%)

Counts

197 → 3

Compiler

Compiled 23384 to 16108 computations (31.1% saved)

bsearch152.0ms (0.9%)

Steps

Iters	Range		Point
6	360780852.85579723	9.37390973452159e+22	586476706.4778745
7	-42192.62103863219	-186.9729709388705	-41190.77908363891

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`+-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	115
1	50	115
2	63	115
3	69	115
4	73	115
5	74	115
6	72	115

end1.0ms (0%)

Compiler: Compiled 79 to 48 computations (39.2% saved)

sample4.1s (24.7%)

Algorithm

1×

intervals

Results

1.9s	2242×	body	1024	valid
690.0ms	4090×	body	128	valid
548.0ms	1110×	body	512	valid
198.0ms	552×	body	256	valid
113.0ms	635×	body	128	invalid
16.0ms	123×	body	128	nan
8.0ms	6×	body	2048	valid

Compiler

Compiled 422 to 283 computations (32.9% saved)

Details

analyze2.5s (14.9%)

sample212.0ms (1.3%)

simplify54.0ms (0.3%)

prune5.0ms (0%)

localize51.0ms (0.3%)

series304.0ms (1.8%)

rewrite20.0ms (0.1%)

simplify166.0ms (1%)

prune412.0ms (2.5%)

localize27.0ms (0.2%)

series1.9s (11.6%)

rewrite25.0ms (0.2%)

simplify235.0ms (1.4%)

prune1.4s (8.7%)

localize24.0ms (0.1%)

series1.2s (7.5%)

rewrite13.0ms (0.1%)

simplify166.0ms (1%)

prune674.0ms (4.1%)

localize16.0ms (0.1%)

series186.0ms (1.1%)

rewrite25.0ms (0.2%)

simplify168.0ms (1%)

prune592.0ms (3.6%)

regimes1.9s (11.3%)

bsearch152.0ms (0.9%)

simplify5.0ms (0%)

end1.0ms (0%)

sample4.1s (24.7%)

Profiling