Details

analyze59.0ms (3.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
74.9%	25%	0.1%	7
81.2%	18.7%	0.1%	8
87.4%	12.5%	0.1%	9
90.5%	9.4%	0.1%	10
93.7%	6.2%	0.1%	11
95.2%	4.7%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample813.0ms (42.2%)

Results

680.0ms	8254×	body	128	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify59.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

546×	`fma-neg_binary64`
369×	`fma-def_binary64`
317×	`div-sub_binary64`
278×	`times-frac_binary64`
113×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	22	10
3	37	10
4	64	10
5	107	10
6	192	10
7	359	10
8	642	10
9	877	10
10	1142	10
11	1146	10
12	1156	10
13	1156	10
14	1064	10

prune2.0ms (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

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

series7.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

rewrite133.0ms (6.9%)

Algorithm

2×	batch-egg-rewrite

Rules

875×	`prod-diff_binary64`
238×	`fma-def_binary64`
222×	`egg-rr`
150×	`expm1-udef_binary64`
149×	`log1p-udef_binary64`

Counts

1 → 222

Calls

1 calls:

123.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	160	10
2	2304	10
3	4865	10
4	5203	10
0	0	0
1	0	0

simplify74.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

518×	`+-commutative_binary64`
479×	`associate-+l-_binary64`
438×	`cancel-sign-sub-inv_binary64`
410×	`fma-neg_binary64`
372×	`associate--r+_binary64`

Counts

246 → 239

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	419
1	139	413
2	439	406
3	1677	396
4	4211	396
5	4758	396
6	5025	396

prune220.0ms (11.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	237	2	239
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	238	2	240

Error

Counts

240 → 2

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
	0.1b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))

Compiler

Compiled 10784 to 6939 computations (35.7% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (-.f64 1 y))
✓	0.0b	(/.f64 y (-.f64 1 y))

series10.0ms (0.5%)

Counts

2 → 24

Calls

2 calls:

8.0ms	(/.f64 x (-.f64 1 y))
2.0ms	(/.f64 y (-.f64 1 y))

rewrite48.0ms (2.5%)

Algorithm

2×	batch-egg-rewrite

Rules

802×	`log1p-expm1-u_binary64`
802×	`expm1-log1p-u_binary64`
168×	`prod-diff_binary64`
76×	`add-sqr-sqrt_binary64`
72×	`egg-rr`

Counts

2 → 72

Calls

2 calls:

46.0ms	(/.f64 x (-.f64 1 y))
46.0ms	(/.f64 y (-.f64 1 y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	151	14
2	2017	14
3	5264	14
0	0	0
1	0	0

simplify78.0ms (4%)

Algorithm

1×	egg-herbie

Rules

699×	`fma-def_binary64`
682×	`sub-neg_binary64`
545×	`cancel-sign-sub-inv_binary64`
487×	`distribute-rgt-out_binary64`
340×	`div-sub_binary64`

Counts

96 → 101

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	49	343
1	145	323
2	429	314
3	1081	296
4	2794	296
5	3478	278
6	4567	278
7	5023	278

prune61.0ms (3.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	101	2	103

Error

Counts

103 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
▶	0.1b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))

Compiler

Compiled 1641 to 1085 computations (33.9% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 1 y))
✓	0.1b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))

series10.0ms (0.5%)

Counts

2 → 36

Calls

2 calls:

7.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
2.0ms	(/.f64 1 (-.f64 1 y))

rewrite59.0ms (3%)

Algorithm

2×	batch-egg-rewrite

Rules

500×	`prod-diff_binary64`
427×	`log-prod_binary64`
235×	`fma-def_binary64`
159×	`expm1-udef_binary64`
158×	`log1p-udef_binary64`

Counts

2 → 75

Calls

2 calls:

57.0ms	(/.f64 1 (-.f64 1 y))
57.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	180	17
2	2338	17
3	5040	17
0	0	0
1	0	0

simplify58.0ms (3%)

Algorithm

1×	egg-herbie

Rules

598×	`associate-+l-_binary64`
466×	`times-frac_binary64`
446×	`cancel-sign-sub-inv_binary64`
429×	`associate--r+_binary64`
402×	`fma-neg_binary64`

Counts

111 → 105

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	602
1	182	580
2	571	571
3	2008	560
4	4747	560
5	5369	560

prune53.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	105	2	107

Error

Counts

107 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
✓	0.1b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))

Compiler

Compiled 1474 to 869 computations (41% saved)

regimes126.0ms (6.6%)

Accuracy

Total 0.0b remaining (27.5%)

Threshold costs 0.0b (27.5%)

Counts

46 → 1

Compiler

Compiled 1711 to 1200 computations (29.9% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	14	16
2	22	16
3	26	16
4	28	16
5	27	16

end39.0ms (2%)

Compiler: Compiled 50 to 35 computations (30% saved)

Details

analyze59.0ms (3.1%)

sample813.0ms (42.2%)

simplify59.0ms (3.1%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series7.0ms (0.4%)

rewrite133.0ms (6.9%)

simplify74.0ms (3.8%)

prune220.0ms (11.4%)

localize5.0ms (0.3%)

series10.0ms (0.5%)

rewrite48.0ms (2.5%)

simplify78.0ms (4%)

prune61.0ms (3.2%)

localize5.0ms (0.3%)

series10.0ms (0.5%)

rewrite59.0ms (3%)

simplify58.0ms (3%)

prune53.0ms (2.8%)

regimes126.0ms (6.6%)

simplify3.0ms (0.2%)

end39.0ms (2%)

Profiling