Details

analyze1.1s (17%)

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
12.5%	87.4%	0.1%	6
18.7%	81.2%	0.1%	7
25%	73.4%	1.7%	8
28.1%	68.7%	3.2%	9
31.2%	62.8%	6%	10
32.8%	60.1%	7.1%	11
34.3%	56.7%	9%	12
35.1%	55.2%	9.7%	13
35.9%	53.4%	10.7%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample2.9s (43.4%)

Results

1.5s	2299×	body	1024	valid
684.0ms	4191×	body	128	valid
471.0ms	1191×	body	512	valid
161.0ms	568×	body	256	valid
28.0ms	179×	body	128	invalid
7.0ms	7×	body	2048	valid
2.0ms	3×	body	1024	invalid
0.0ms	1×	body	512	invalid

Compiler

Compiled 44 to 35 computations (20.5% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))

Compiler

Compiled 42 to 33 computations (21.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
✓	0.1b	(/.f64 1 (tan.f64 B))
✓	0.2b	(/.f64 1 (sin.f64 B))
✓	0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))

series93.0ms (1.4%)

Counts

4 → 64

Calls

4 calls:

37.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
36.0ms	(*.f64 x (/.f64 1 (tan.f64 B)))
14.0ms	(/.f64 1 (tan.f64 B))
5.0ms	(/.f64 1 (sin.f64 B))

rewrite71.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`log-prod_binary64`
394×	`fma-def_binary64`
199×	`fma-neg_binary64`
194×	`expm1-udef_binary64`
194×	`log1p-udef_binary64`

Counts

4 → 182

Calls

4 calls:

67.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
67.0ms	(/.f64 1 (tan.f64 B))
67.0ms	(/.f64 1 (sin.f64 B))
67.0ms	(*.f64 x (/.f64 1 (tan.f64 B)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	240	32
2	2791	32
3	5368	32

prune191.0ms (2.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	236	10	246
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	237	10	247

Error

0.0b

Counts

247 → 10

Alt Table

Status	Error	Program
	19.3b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (cbrt.f64 (pow.f64 (sin.f64 B) -3)))
	29.6b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 B)))) (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 B)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 B)))))))
	29.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2))
	30.2b	(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (/.f64 1 (sin.f64 B)))
	0.2b	(fma.f64 x (/.f64 -1 (tan.f64 B)) (/.f64 1 (sin.f64 B)))
▶	0.1b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	14.0b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) (cbrt.f64 (pow.f64 (sin.f64 B) -2))))
	0.2b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
	29.5b	(+.f64 (neg.f64 (*.f64 x (+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 B)))))))) (/.f64 1 (sin.f64 B)))
	24.0b	(/.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))))

Compiler

Compiled 4118 to 2072 computations (49.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
✓	0.1b	(/.f64 x (tan.f64 B))
✓	0.2b	(/.f64 1 (sin.f64 B))

series79.0ms (1.2%)

Counts

3 → 52

Calls

3 calls:

37.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
37.0ms	(/.f64 x (tan.f64 B))
5.0ms	(/.f64 1 (sin.f64 B))

rewrite123.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`prod-diff_binary64`
276×	`fma-def_binary64`
254×	`egg-rr`
223×	`fma-neg_binary64`
184×	`expm1-udef_binary64`

Counts

3 → 254

Calls

3 calls:

115.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
115.0ms	(/.f64 x (tan.f64 B))
115.0ms	(/.f64 1 (sin.f64 B))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	199	26
2	2714	26
3	4965	26
4	4966	26

prune366.0ms (5.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	303	3	306
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	308	8	316

Error

0.0b

Counts

316 → 8

Alt Table

Status	Error	Program
	0.2b	(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (sin.f64 B)) (tan.f64 B))
	30.2b	(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (/.f64 1 (sin.f64 B)))
	0.2b	(fma.f64 x (/.f64 -1 (tan.f64 B)) (/.f64 1 (sin.f64 B)))
	29.9b	(fma.f64 (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))
	13.2b	(/.f64 (-.f64 (tan.f64 B) (.f64 (sin.f64 B) x)) (.f64 (sin.f64 B) (tan.f64 B)))
▶	0.2b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
	29.5b	(+.f64 (neg.f64 (*.f64 x (+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 B)))))))) (/.f64 1 (sin.f64 B)))
	24.0b	(/.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))))

Compiler

Compiled 8386 to 3097 computations (63.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
✓	0.1b	(*.f64 x (cos.f64 B))
✓	0.2b	(/.f64 1 (sin.f64 B))
✓	0.2b	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))

series55.0ms (0.8%)

Counts

4 → 39

Calls

4 calls:

24.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
19.0ms	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
6.0ms	(*.f64 x (cos.f64 B))
5.0ms	(/.f64 1 (sin.f64 B))

rewrite131.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

911×	`prod-diff_binary64`
351×	`egg-rr`
198×	`log1p-udef_binary64`
111×	`add-sqr-sqrt_binary64`
104×	`log1p-expm1-u_binary64`

Counts

4 → 351

Calls

4 calls:

119.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
119.0ms	(*.f64 x (cos.f64 B))
119.0ms	(/.f64 1 (sin.f64 B))
119.0ms	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	218	32
2	3043	32
3	5202	32

prune355.0ms (5.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	389	1	390
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	391	7	398

Error

0.0b

Counts

398 → 7

Alt Table

Status	Error	Program
	0.2b	(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (sin.f64 B)) (tan.f64 B))
	30.2b	(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (/.f64 1 (sin.f64 B)))
▶	0.2b	(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
	29.9b	(fma.f64 (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))
	13.2b	(/.f64 (-.f64 (tan.f64 B) (.f64 (sin.f64 B) x)) (.f64 (sin.f64 B) (tan.f64 B)))
	29.5b	(+.f64 (neg.f64 (*.f64 x (+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 B)))))))) (/.f64 1 (sin.f64 B)))
	24.0b	(/.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))))

Compiler

Compiled 13265 to 4903 computations (63% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (cos.f64 B))
✓	0.1b	(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))

series24.0ms (0.4%)

Counts

2 → 40

Calls

2 calls:

17.0ms	(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
6.0ms	(*.f64 x (cos.f64 B))

rewrite72.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

535×	`prod-diff_binary64`
496×	`log-prod_binary64`
174×	`expm1-udef_binary64`
173×	`log1p-udef_binary64`
151×	`log-pow_binary64`

Counts

2 → 106

Calls

2 calls:

67.0ms	(*.f64 x (cos.f64 B))
67.0ms	(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	191	20
2	2474	20
3	5326	20

prune121.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	146	7	153

Error

0.0b

Counts

153 → 7

Alt Table

Status	Error	Program
	0.2b	(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (sin.f64 B)) (tan.f64 B))
	30.2b	(+.f64 (neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))) (/.f64 1 (sin.f64 B)))
✓	0.2b	(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
	29.9b	(fma.f64 (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))
	13.2b	(/.f64 (-.f64 (tan.f64 B) (.f64 (sin.f64 B) x)) (.f64 (sin.f64 B) (tan.f64 B)))
	29.5b	(+.f64 (neg.f64 (*.f64 x (+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 B)))))))) (/.f64 1 (sin.f64 B)))
	24.0b	(/.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))))

Compiler

Compiled 4127 to 1635 computations (60.4% saved)

regimes843.0ms (12.5%)

Accuracy

Total 0.1b remaining (83.8%)

Threshold costs 0.1b (83.8%)

Counts

234 → 1

Compiler

Compiled 13462 to 9078 computations (32.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	17	17
2	21	17
3	24	17
4	25	17
5	24	17

end111.0ms (1.6%)

Compiler: Compiled 172 to 108 computations (37.2% saved)

Details

analyze1.1s (17%)

sample2.9s (43.4%)

prune2.0ms (0%)

localize9.0ms (0.1%)

series93.0ms (1.4%)

rewrite71.0ms (1.1%)

prune191.0ms (2.8%)

localize7.0ms (0.1%)

series79.0ms (1.2%)

rewrite123.0ms (1.8%)

prune366.0ms (5.4%)

localize9.0ms (0.1%)

series55.0ms (0.8%)

rewrite131.0ms (1.9%)

prune355.0ms (5.3%)

localize7.0ms (0.1%)

series24.0ms (0.4%)

rewrite72.0ms (1.1%)

prune121.0ms (1.8%)

regimes843.0ms (12.5%)

simplify2.0ms (0%)

end111.0ms (1.6%)

Profiling