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)

sample929.0ms (43.7%)

Results

854.0ms	8256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify53.0ms (2.5%)

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
✓	0.0b	(log.f64 (log.f64 x))
✓	0.2b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

series544.0ms (25.6%)

Counts

2 → 16

Calls

2 calls:

285.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
259.0ms	(log.f64 (log.f64 x))

rewrite49.0ms (2.3%)

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:

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

simplify54.0ms (2.5%)

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

prune53.0ms (2.5%)

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
✓	0.2b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
▶	0.0b	(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))

Compiler

Compiled 1724 to 556 computations (67.7% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series226.0ms (10.6%)

Counts

2 → 20

Calls

2 calls:

199.0ms	(log.f64 (/.f64 (log.f64 x) x))
27.0ms	(/.f64 (log.f64 x) x)

rewrite41.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

473×	`log1p-expm1-u_binary64`
473×	`expm1-log1p-u_binary64`
338×	`unpow-prod-down_binary64`
257×	`log-prod_binary64`
135×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
1	100	14
2	1288	14

Stop Event

1×	node limit

Counts

2 → 135

Calls

2 calls:

38.0ms	(log.f64 (/.f64 (log.f64 x) x))
38.0ms	(/.f64 (log.f64 x) x)

simplify40.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

942×	`fma-neg_binary64`
374×	`fma-def_binary64`
293×	`unsub-neg_binary64`
236×	`div-sub_binary64`
235×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	200
1	45	168
2	97	168
3	265	168
4	637	168
5	1531	168
6	2772	168
7	4249	168
8	4886	168

Stop Event

1×	node limit

Counts

155 → 140

prune57.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	140	2	142

Error

Counts

142 → 2

Alt Table

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

Compiler

Compiled 1891 to 880 computations (53.5% saved)

regimes29.0ms (1.4%)

Accuracy

Total 0.0b remaining (92.3%)

Threshold costs 0.0b (92.3%)

Counts

9 → 1

Compiler

Compiled 318 to 185 computations (41.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	10	10
2	12	10
3	13	10

Stop Event

1×

saturated

end35.0ms (1.6%)

Compiler: Compiled 28 to 19 computations (32.1% saved)

Details

analyze3.0ms (0.1%)

sample929.0ms (43.7%)

simplify53.0ms (2.5%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

series544.0ms (25.6%)

rewrite49.0ms (2.3%)

simplify54.0ms (2.5%)

prune53.0ms (2.5%)

localize6.0ms (0.3%)

series226.0ms (10.6%)

rewrite41.0ms (1.9%)

simplify40.0ms (1.9%)

prune57.0ms (2.7%)

regimes29.0ms (1.4%)

simplify2.0ms (0.1%)

end35.0ms (1.6%)

Profiling