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)

sample893.0ms (42%)

Results

815.0ms	8256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify56.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1835×	`fma-neg_binary64`
684×	`fma-def_binary64`
317×	`unsub-neg_binary64`
293×	`distribute-rgt-in_binary64`
245×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	7	10
2	12	10
3	19	10
4	28	10
5	45	10
6	83	10
7	124	10
8	201	10
9	395	10
10	833	10
11	2189	10
12	4247	10
13	4737	10
14	4911	10
15	4966	10
16	4976	10
17	4976	10

Stop Event

1×	node limit

Counts

1 → 1

prune1.0ms (0.1%)

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 (0.2%)

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)))

series517.0ms (24.3%)

Counts

2 → 16

Calls

2 calls:

272.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
244.0ms	(log.f64 (log.f64 x))

rewrite47.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

560×	`log1p-expm1-u_binary64`
560×	`expm1-log1p-u_binary64`
359×	`prod-diff_binary64`
167×	`fma-def_binary64`
110×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	107	13
2	1463	13

Stop Event

1×	node limit

Counts

2 → 110

Calls

2 calls:

44.0ms	(log.f64 (log.f64 x))
44.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

simplify57.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1648×	`fma-def_binary64`
625×	`fma-neg_binary64`
583×	`distribute-rgt-in_binary64`
397×	`distribute-lft-in_binary64`
316×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	216
1	41	136
2	87	120
3	256	120
4	688	120
5	1585	120
6	2866	120
7	3700	120
8	3915	120
9	4529	120
10	4807	120
11	4914	120

Stop Event

1×	node limit

Counts

126 → 116

prune60.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	2	117

Error

Counts

117 → 2

Alt Table

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

Compiler

Compiled 1722 to 554 computations (67.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 x (log.f64 x)))
✓	0.2b	(/.f64 x (log.f64 x))

series262.0ms (12.3%)

Counts

2 → 20

Calls

2 calls:

225.0ms	(log.f64 (/.f64 x (log.f64 x)))
37.0ms	(/.f64 x (log.f64 x))

rewrite49.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log1p-expm1-u_binary64`
476×	`expm1-log1p-u_binary64`
336×	`unpow-prod-down_binary64`
257×	`log-prod_binary64`
143×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
1	100	14
2	1295	14

Stop Event

1×	node limit

Counts

2 → 143

Calls

2 calls:

47.0ms	(log.f64 (/.f64 x (log.f64 x)))
47.0ms	(/.f64 x (log.f64 x))

simplify46.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

442×	`div-sub_binary64`
390×	`fma-neg_binary64`
355×	`fma-def_binary64`
284×	`distribute-rgt-in_binary64`
234×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	224
1	46	200
2	88	192
3	253	168
4	624	168
5	1567	168
6	4077	168

Stop Event

1×	node limit

Counts

163 → 149

prune64.0ms (3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	149	2	151

Error

Counts

151 → 2

Alt Table

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

Compiler

Compiled 2050 to 833 computations (59.4% saved)

regimes24.0ms (1.1%)

Accuracy

Total 0.0b remaining (86.4%)

Threshold costs 0.0b (86.4%)

Counts

6 → 1

Compiler

Compiled 201 to 122 computations (39.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8

Stop Event

1×

saturated

end36.0ms (1.7%)

Compiler: Compiled 25 to 16 computations (36% saved)

Details

analyze3.0ms (0.1%)

sample893.0ms (42%)

simplify56.0ms (2.6%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

series517.0ms (24.3%)

rewrite47.0ms (2.2%)

simplify57.0ms (2.7%)

prune60.0ms (2.8%)

localize5.0ms (0.2%)

series262.0ms (12.3%)

rewrite49.0ms (2.3%)

simplify46.0ms (2.1%)

prune64.0ms (3%)

regimes24.0ms (1.1%)

simplify2.0ms (0.1%)

end36.0ms (1.7%)

Profiling