Details

analyze402.0ms (10.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	50%	50%	2
0%	50%	50%	3
0%	37.5%	62.5%	4
0%	31.2%	68.8%	5
0%	28.1%	71.9%	6
0%	26.5%	73.5%	7
0%	25.8%	74.2%	8
0%	25.4%	74.6%	9
0%	25.2%	74.8%	10
0%	25.1%	74.9%	11
0%	25%	75%	12
0%	25%	75%	13
0%	25%	75%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.1s (27.7%)

Results

880.0ms	8256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 15 to 9 computations (40% saved)

simplify157.0ms (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

prune1.0ms (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)))

series703.0ms (18.4%)

Counts

2 → 16

Calls

2 calls:

353.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
350.0ms	(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))

simplify133.0ms (3.5%)

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

prune39.0ms (1%)

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

Compiler

Compiled 1068 to 280 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)))
✓	0.2b	(/.f64 x (log.f64 x))

series449.0ms (11.7%)

Counts

2 → 20

Calls

2 calls:

408.0ms	(log.f64 (/.f64 x (log.f64 x)))
41.0ms	(/.f64 x (log.f64 x))

rewrite8.0ms (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)))

simplify129.0ms (3.4%)

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

prune31.0ms (0.8%)

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

Compiler

Compiled 849 to 281 computations (66.9% saved)

localize6.0ms (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) (neg.f64 (log.f64 (log.f64 x))))

series379.0ms (9.9%)

Counts

1 → 12

Calls

1 calls:

379.0ms

(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
8×	`pow1_binary64`
7×	`log-prod_binary64`
7×	`log-pow_binary64`
6×	`distribute-lft-out_binary64`

Counts

1 → 33

Calls

1 calls:

6.0ms

(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))

simplify153.0ms (4%)

Algorithm

1×	egg-herbie

Rules

600×	`unsub-neg_binary64`
592×	`times-frac_binary64`
326×	`sub-neg_binary64`
311×	`div-sub_binary64`
285×	`fma-neg_binary64`

Counts

45 → 43

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	494
1	167	456
2	398	452
3	1253	450
4	2940	448
5	4625	448
6	4242	448
7	4711	448
8	4977	448
9	4966	448
10	4881	448

prune26.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	63	2	65

Error

Counts

65 → 2

Alt Table

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

Compiler

Compiled 802 to 256 computations (68.1% saved)

regimes84.0ms (2.2%)

Accuracy

Total 0.0b remaining (83.8%)

Threshold costs 0.0b (83.8%)

Counts

12 → 1

Compiler

Compiled 1063 to 446 computations (58% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	5	8

end39.0ms (1%)

Compiler: Compiled 26 to 17 computations (34.6% saved)

Details

analyze402.0ms (10.5%)

sample1.1s (27.7%)

simplify157.0ms (4.1%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series703.0ms (18.4%)

rewrite10.0ms (0.3%)

simplify133.0ms (3.5%)

prune39.0ms (1%)

localize5.0ms (0.1%)

series449.0ms (11.7%)

rewrite8.0ms (0.2%)

simplify129.0ms (3.4%)

prune31.0ms (0.8%)

localize6.0ms (0.1%)

series379.0ms (9.9%)

rewrite8.0ms (0.2%)

simplify153.0ms (4%)

prune26.0ms (0.7%)

regimes84.0ms (2.2%)

simplify2.0ms (0.1%)

end39.0ms (1%)

Profiling