Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	50%	50%	2
25%	25%	50%	3
25%	12.5%	62.5%	4
25%	6.2%	68.8%	5
25%	3.1%	71.9%	6
25%	1.6%	73.5%	7
25%	0.8%	74.2%	8
25%	0.4%	74.6%	9
25%	0.2%	74.8%	10
25%	0.1%	74.9%	11
25%	0%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.0s (27.2%)

Results

852.0ms	8256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify159.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1887×	`fma-neg_binary64`
921×	`unsub-neg_binary64`
788×	`associate-+l+_binary64`
692×	`fma-def_binary64`
383×	`associate-+r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	7	10
2	12	10
3	19	10
4	26	10
5	43	10
6	69	10
7	94	10
8	140	10
9	261	10
10	495	10
11	1237	10
12	2158	10
13	2012	10
14	2131	10
15	2179	10
16	2189	10
17	2189	10
18	3301	10
19	3309	10
20	3361	10
21	3361	10
22	3885	10
23	4995	10
24	4994	10

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 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 21 to 12 computations (42.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(log.f64 (log.f64 x))
✓	0.2b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

series659.0ms (17.2%)

Counts

2 → 16

Calls

2 calls:

336.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
323.0ms	(log.f64 (log.f64 x))

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
19×	`pow1_binary64`
17×	`add-sqr-sqrt_binary64`
17×	`log-pow_binary64`
16×	`prod-diff_binary64`

Counts

2 → 64

Calls

2 calls:

5.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
1.0ms	(log.f64 (log.f64 x))

simplify141.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

574×	`fma-neg_binary64`
388×	`unsub-neg_binary64`
356×	`neg-sub0_binary64`
331×	`neg-mul-1_binary64`
289×	`associate-l_binary64`

Counts

80 → 66

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	94	1346
1	172	931
2	477	801
3	2027	799
4	3623	793
5	4612	793
6	4902	793
7	4940	793
8	4827	793

prune54.0ms (1.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	2	67

Error

Counts

67 → 2

Alt Table

Status	Error	Program
▶	0.0b	(log.f64 (/.f64 x (log.f64 x)))
	0.2b	(-.f64 (log.f64 x) (+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x)))))

Compiler

Compiled 1078 to 282 computations (73.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 x (log.f64 x)))
✓	0.3b	(/.f64 x (log.f64 x))

series332.0ms (8.7%)

Counts

2 → 20

Calls

2 calls:

298.0ms	(log.f64 (/.f64 x (log.f64 x)))
34.0ms	(/.f64 x (log.f64 x))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64`
16×	`log-prod_binary64`

Counts

2 → 62

Calls

2 calls:

2.0ms	(/.f64 x (log.f64 x))
2.0ms	(log.f64 (/.f64 x (log.f64 x)))

simplify134.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-neg_binary64`
652×	`times-frac_binary64`
280×	`associate-/l*_binary64`
275×	`distribute-rgt-in_binary64`
268×	`associate-/l/_binary64`

Counts

82 → 72

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1046
1	170	985
2	371	933
3	982	931
4	3948	931
5	4737	931
6	4972	931
7	4989	931
8	4981	931

prune39.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	72	2	74

Error

Counts

74 → 2

Alt Table

Status	Error	Program
✓	0.0b	(log.f64 (/.f64 x (log.f64 x)))
▶	0.2b	(-.f64 (log.f64 x) (+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x)))))

Compiler

Compiled 859 to 283 computations (67.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (log.f64 x))
✓	0.1b	(log.f64 (sqrt.f64 (log.f64 x)))
✓	0.2b	(-.f64 (log.f64 x) (+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x)))))

series618.0ms (16.1%)

Counts

3 → 28

Calls

3 calls:

307.0ms	(-.f64 (log.f64 x) (+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x)))))
286.0ms	(log.f64 (sqrt.f64 (log.f64 x)))
24.0ms	(sqrt.f64 (log.f64 x))

rewrite43.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

155×	`log-pow_binary64`
128×	`pow1_binary64`
104×	`*-un-lft-identity_binary64`
104×	`prod-diff_binary64`
62×	`add-sqr-sqrt_binary64`

Counts

3 → 199

Calls

3 calls:

14.0ms	(-.f64 (log.f64 x) (+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x)))))
1.0ms	(log.f64 (sqrt.f64 (log.f64 x)))
1.0ms	(sqrt.f64 (log.f64 x))

simplify193.0ms (5%)

Algorithm

1×	egg-herbie

Rules

699×	`fma-def_binary64`
383×	`exp-prod_binary64`
341×	`exp-sum_binary64`
305×	`log-prod_binary64`
278×	`unsub-neg_binary64`

Counts

227 → 150

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	189	5278
1	368	3019
2	933	2266
3	3017	2266
4	4328	2264
5	4496	2264
6	4802	2264

prune97.0ms (2.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	195	2	197

Error

Counts

197 → 2

Alt Table

Status	Error	Program
✓	0.0b	(log.f64 (/.f64 x (log.f64 x)))
✓	0.2b	(-.f64 (log.f64 x) (+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x)))))

Compiler

Compiled 4875 to 1188 computations (75.6% saved)

regimes233.0ms (6.1%)

Accuracy

Total 0.0b remaining (65.6%)

Threshold costs 0.0b (65.6%)

Counts

66 → 1

Compiler

Compiled 3476 to 1944 computations (44.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	5	8

end45.0ms (1.2%)

Compiler: Compiled 31 to 18 computations (41.9% saved)

Details

analyze3.0ms (0.1%)

sample1.0s (27.2%)

simplify159.0ms (4.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series659.0ms (17.2%)

rewrite10.0ms (0.3%)

simplify141.0ms (3.7%)

prune54.0ms (1.4%)

localize5.0ms (0.1%)

series332.0ms (8.7%)

rewrite7.0ms (0.2%)

simplify134.0ms (3.5%)

prune39.0ms (1%)

localize7.0ms (0.2%)

series618.0ms (16.1%)

rewrite43.0ms (1.1%)

simplify193.0ms (5%)

prune97.0ms (2.5%)

regimes233.0ms (6.1%)

simplify2.0ms (0%)

end45.0ms (1.2%)

Profiling