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)

sample821.0ms (37.8%)

Results

807.0ms	8256×	body	128	valid
1.0ms	7×	body	128	invalid

Compiler

Compiled 16 to 10 computations (37.5% saved)

preprocess64.0ms (3%)

Algorithm

2×	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
0	1	1

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 7 to 4 computations (42.9% 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

prune5.0ms (0.2%)

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)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series534.0ms (24.6%)

Counts

2 → 16

Calls

6 calls:

108.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))	x	-inf
96.0ms	(log.f64 (log.f64 x))	x	-inf
90.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))	x	inf
87.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))	x	0
79.0ms	(log.f64 (log.f64 x))	x	inf

rewrite46.0ms (2.1%)

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

simplify55.0ms (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

prune54.0ms (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
▶	0.0b	(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))
✓	0.3b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 1726 to 558 computations (67.7% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))
✓	0.2b	(*.f64 (/.f64 1 (log.f64 x)) x)
✓	0.3b	(/.f64 1 (log.f64 x))

series296.0ms (13.7%)

Counts

3 → 32

Calls

9 calls:

85.0ms	(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))	x	-inf
77.0ms	(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))	x	inf
69.0ms	(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))	x	0
13.0ms	(/.f64 1 (log.f64 x))	x	-inf
12.0ms	(*.f64 (/.f64 1 (log.f64 x)) x)	x	inf

rewrite45.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`log1p-expm1-u_binary64`
551×	`expm1-log1p-u_binary64`
299×	`log-prod_binary64`
156×	`pow2_binary64`
137×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	134	20
2	1564	20

Stop Event

1×	node limit

Counts

3 → 137

simplify34.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

430×	`div-sub_binary64`
396×	`fma-neg_binary64`
389×	`fma-def_binary64`
299×	`distribute-rgt-in_binary64`
247×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	280
1	48	256
2	90	240
3	255	240
4	630	240
5	1608	240
6	4223	240

Stop Event

1×	node limit

Counts

169 → 145

prune64.0ms (2.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	145	2	147

Error

Counts

147 → 2

Alt Table

Status	Error	Program
✓	0.0b	(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))
✓	0.3b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 1784 to 795 computations (55.4% saved)

regimes38.0ms (1.7%)

Accuracy

Total 0.0b remaining (81.8%)

Threshold costs 0.0b (81.8%)

Counts

11 → 1

Compiler

Compiled 399 to 266 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	10	11

Stop Event

1×

saturated

end41.0ms (1.9%)

Stop Event

1×

done

Compiler

Compiled 31 to 22 computations (29% saved)

Details

analyze3.0ms (0.1%)

sample821.0ms (37.8%)

preprocess64.0ms (3%)

simplify56.0ms (2.6%)

prune5.0ms (0.2%)

localize5.0ms (0.2%)

series534.0ms (24.6%)

rewrite46.0ms (2.1%)

simplify55.0ms (2.5%)

prune54.0ms (2.5%)

localize6.0ms (0.3%)

series296.0ms (13.7%)

rewrite45.0ms (2.1%)

simplify34.0ms (1.6%)

prune64.0ms (2.9%)

regimes38.0ms (1.7%)

simplify2.0ms (0.1%)

end41.0ms (1.9%)

Profiling