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 (43.3%)

Results

827.0ms	8256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify158.0ms (6.8%)

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

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

0.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.3b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 21 to 12 computations (42.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(log.f64 (log.f64 x))
✓	0.3b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

series572.0ms (24.6%)

Counts

2 → 16

Calls

2 calls:

304.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
268.0ms	(log.f64 (log.f64 x))

rewrite56.0ms (2.4%)

Algorithm

2×	batch-egg-rewrite

Rules

560×	`log1p-expm1-u_binary64`
560×	`expm1-log1p-u_binary64`
359×	`prod-diff_binary64`
260×	`log-prod_binary64`
167×	`fma-def_binary64`

Counts

2 → 123

Calls

2 calls:

53.0ms	(log.f64 (log.f64 x))
53.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	105	13
2	1378	13
3	5175	13
0	0	0
1	0	0

simplify158.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

1676×	`fma-def_binary64`
1385×	`associate--r-_binary64`
669×	`distribute-rgt-in_binary64`
625×	`fma-neg_binary64`
487×	`distribute-lft-in_binary64`

Counts

139 → 129

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	216
1	41	136
2	81	120
3	182	120
4	391	120
5	866	120
6	1405	120
7	1676	120
8	1791	120
9	1951	120
10	2100	120
11	2170	120
12	3345	120
13	3349	120
14	3349	120
15	3677	120
16	3689	120
17	3667	120
18	3733	120
19	3777	120
20	5120	120

prune48.0ms (2.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	1	130

Error

Counts

130 → 1

Alt Table

Status	Error	Program
▶	0b	(log.f64 (/.f64 x (log.f64 x)))

Compiler

Compiled 1898 to 611 computations (67.8% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series40.0ms (1.7%)

Counts

1 → 8

Calls

1 calls:

40.0ms

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

rewrite75.0ms (3.2%)

Algorithm

2×	batch-egg-rewrite

Rules

408×	`log1p-expm1-u_binary64`
408×	`expm1-log1p-u_binary64`
349×	`pow1_binary64`
286×	`unpow-prod-down_binary64`
219×	`log-prod_binary64`

Counts

1 → 60

Calls

1 calls:

74.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	81	6
2	1062	6
3	4736	6
4	5003	6
0	0	0
1	0	0

simplify131.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

1459×	`div-sub_binary64`
1021×	`fma-neg_binary64`
994×	`distribute-rgt-in_binary64`
832×	`distribute-lft-in_binary64`
687×	`fma-def_binary64`

Counts

68 → 63

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	80
1	26	80
2	39	72
3	87	48
4	150	48
5	458	48
6	982	48
7	1233	48
8	2039	48
9	2804	48
10	2640	48
11	2854	48
12	3014	48
13	3112	48
14	3178	48
15	4668	48
16	4708	48

prune25.0ms (1.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	1	64

Error

Counts

64 → 1

Alt Table

Status	Error	Program
✓	0b	(log.f64 (/.f64 x (log.f64 x)))

Compiler

Compiled 743 to 373 computations (49.8% saved)

regimes14.0ms (0.6%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Compiler

Compiled 63 to 38 computations (39.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	5	8

end28.0ms (1.2%)

Compiler: Compiled 18 to 12 computations (33.3% saved)

Details

analyze3.0ms (0.1%)

sample1.0s (43.3%)

simplify158.0ms (6.8%)

prune1.0ms (0.1%)

localize6.0ms (0.2%)

series572.0ms (24.6%)

rewrite56.0ms (2.4%)

simplify158.0ms (6.8%)

prune48.0ms (2.1%)

localize5.0ms (0.2%)

series40.0ms (1.7%)

rewrite75.0ms (3.2%)

simplify131.0ms (5.6%)

prune25.0ms (1.1%)

regimes14.0ms (0.6%)

simplify2.0ms (0.1%)

end28.0ms (1.2%)

Profiling