Details

analyze50.0ms (2.3%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample915.0ms (42.8%)

Results

796.0ms

8256×

body

128

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify76.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-def_binary64`
621×	`fma-neg_binary64`
457×	`times-frac_binary64`
316×	`div-sub_binary64`
141×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	12
2	38	12
3	71	12
4	152	12
5	207	12
6	597	10
7	937	10
8	1314	10
9	1337	10
10	1342	10
11	1369	10
12	1379	10
13	1379	10
14	1274	10

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 35 to 18 computations (48.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

series7.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

rewrite99.0ms (4.6%)

Algorithm

2×	batch-egg-rewrite

Rules

884×	`expm1-log1p-u_binary64`
758×	`prod-diff_binary64`
77×	`add-sqr-sqrt_binary64`
74×	`log1p-expm1-u_binary64`
72×	`add-log-exp_binary64`

Counts

1 → 35

Calls

1 calls:

98.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	143	10
2	2146	10
3	5253	10
0	0	0
1	0	0

simplify49.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

838×	`fma-neg_binary64`
821×	`associate-/l*_binary64`
515×	`associate-/r*_binary64`
386×	`associate-/r/_binary64`
251×	`cancel-sign-sub-inv_binary64`

Counts

59 → 49

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	426
1	110	393
2	368	342
3	1432	324
4	4696	324
5	5368	324

prune73.0ms (3.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	3	50

Error

Counts

50 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	0.5b	(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
▶	0.0b	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)

Compiler

Compiled 692 to 287 computations (58.5% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
✓	0.0b	(/.f64 (-.f64 n f) (+.f64 f n))

series18.0ms (0.9%)

Counts

2 → 48

Calls

2 calls:

11.0ms	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
7.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

rewrite123.0ms (5.8%)

Algorithm

2×	batch-egg-rewrite

Rules

974×	`prod-diff_binary64`
280×	`egg-rr`
171×	`expm1-udef_binary64`
171×	`log1p-udef_binary64`
98×	`add-sqr-sqrt_binary64`

Counts

2 → 280

Calls

2 calls:

111.0ms	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
111.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	188	20
2	2665	20
3	5122	20
0	0	0
1	0	0

simplify64.0ms (3%)

Algorithm

1×	egg-herbie

Rules

758×	`cancel-sign-sub-inv_binary64`
468×	`fma-neg_binary64`
313×	`neg-mul-1_binary64`
307×	`neg-sub0_binary64`
269×	`distribute-neg-frac_binary64`

Counts

328 → 306

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	852
1	152	792
2	497	702
3	1860	651
4	4281	651
5	4974	651

prune183.0ms (8.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	306	0	306
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	306	3	309

Error

Counts

309 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	0.5b	(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	0.0b	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)

Compiler

Compiled 13195 to 3415 computations (74.1% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	2.5b	(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

series21.0ms (1%)

Counts

2 → 48

Calls

2 calls:

14.0ms	(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
7.0ms	(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

rewrite82.0ms (3.8%)

Algorithm

2×	batch-egg-rewrite

Rules

948×	`prod-diff_binary64`
409×	`fma-def_binary64`
204×	`fma-neg_binary64`
155×	`expm1-udef_binary64`
155×	`log1p-udef_binary64`

Counts

2 → 73

Calls

2 calls:

80.0ms	(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
80.0ms	(log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	162	22
2	2336	22
3	4783	22
4	5075	22
0	0	0
1	0	0

simplify66.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

842×	`fma-neg_binary64`
452×	`cancel-sign-sub-inv_binary64`
348×	`associate-+l+_binary64`
308×	`fma-def_binary64`
263×	`associate-+r+_binary64`

Counts

121 → 110

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	960
1	242	903
2	787	834
3	3084	828
4	4511	828
5	5093	828

prune80.0ms (3.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	159	3	162

Error

Counts

162 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.5b	(expm1.f64 (log1p.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	0.0b	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)

Compiler

Compiled 2431 to 1038 computations (57.3% saved)

regimes73.0ms (3.4%)

Accuracy

Total 0.0b remaining (32.1%)

Threshold costs 0.0b (32.1%)

Counts

24 → 1

Compiler

Compiled 726 to 555 computations (23.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	11	13
2	15	13
3	17	13
4	18	13
5	18	13

end140.0ms (6.5%)

Compiler: Compiled 53 to 33 computations (37.7% saved)

Details

analyze50.0ms (2.3%)

sample915.0ms (42.8%)

simplify76.0ms (3.5%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series7.0ms (0.3%)

rewrite99.0ms (4.6%)

simplify49.0ms (2.3%)

prune73.0ms (3.4%)

localize5.0ms (0.3%)

series18.0ms (0.9%)

rewrite123.0ms (5.8%)

simplify64.0ms (3%)

prune183.0ms (8.6%)

localize7.0ms (0.3%)

series21.0ms (1%)

rewrite82.0ms (3.8%)

simplify66.0ms (3.1%)

prune80.0ms (3.7%)

regimes73.0ms (3.4%)

simplify2.0ms (0.1%)

end140.0ms (6.5%)

Profiling