Details

analyze94.0ms (6.3%)

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
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample794.0ms (53.5%)

Results

753.0ms	8256×	body	128	valid
13.0ms	157×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

17×	`fma-def_binary64`
13×	`*-commutative_binary64`
6×	`distribute-rgt-out_binary64`
5×	`associate-r_binary64`
5×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	20	10
2	43	10
3	74	10
4	78	10

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.0b	(.f64 2 (.f64 x (+.f64 x y)))
▶	0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 58 to 37 computations (36.2% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x x) (.f64 x y))
✓	0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))

series12.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

7.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
5.0ms	(+.f64 (.f64 x x) (.f64 x y))

rewrite43.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`log1p-expm1-u_binary64`
864×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`
85×	`add-cbrt-cube_binary64`
84×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	178	17
2	2420	17

Stop Event

1×	node limit

Counts

2 → 65

Calls

2 calls:

42.0ms	(+.f64 (.f64 x x) (.f64 x y))
42.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))

simplify90.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

599×	`sqr-pow_binary64`
386×	`cube-prod_binary64`
344×	`fma-def_binary64`
324×	`fabs-mul_binary64`
274×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	408
1	25	372
2	53	372
3	114	372
4	264	372
5	736	372
6	1173	372
7	1661	372
8	1828	372
9	1966	372
10	2136	372
11	2385	372
12	2701	372
13	3075	372
14	3532	372
15	4118	372
16	4826	372

Stop Event

1×	node limit

Counts

113 → 75

prune54.0ms (3.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	75	2	77

Error

Counts

77 → 2

Alt Table

Status	Error	Program
	0.0b	(.f64 2 (fma.f64 x y (.f64 x x)))
▶	0.0b	(.f64 x (.f64 2 (+.f64 y x)))

Compiler

Compiled 1043 to 548 computations (47.5% saved)

localize21.0ms (1.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (.f64 2 (+.f64 y x)))

series6.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

6.0ms

(*.f64 x (*.f64 2 (+.f64 y x)))

rewrite41.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`log1p-expm1-u_binary64`
792×	`expm1-log1p-u_binary64`
538×	`prod-diff_binary64`
80×	`add-sqr-sqrt_binary64`
76×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	157	10
2	2168	10

Stop Event

1×	node limit

Counts

1 → 23

Calls

1 calls:

41.0ms

(*.f64 x (*.f64 2 (+.f64 y x)))

simplify78.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

599×	`sqr-pow_binary64`
386×	`cube-prod_binary64`
343×	`fma-def_binary64`
324×	`fabs-mul_binary64`
274×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	276
1	23	222
2	50	222
3	108	222
4	257	222
5	745	222
6	1187	222
7	1675	222
8	1842	222
9	1978	222
10	2151	222
11	2398	222
12	2716	222
13	3090	222
14	3549	222
15	4129	222
16	4839	222

Stop Event

1×	node limit

Counts

47 → 29

prune23.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Error

Counts

31 → 2

Alt Table

Status	Error	Program
▶	0.0b	(.f64 2 (fma.f64 x y (.f64 x x)))
✓	0.0b	(.f64 x (.f64 2 (+.f64 y x)))

Compiler

Compiled 323 to 200 computations (38.1% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (fma.f64 x y (.f64 x x)))

series8.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 2 (fma.f64 x y (*.f64 x x)))

rewrite32.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

569×	`log1p-expm1-u_binary64`
569×	`expm1-log1p-u_binary64`
304×	`log-prod_binary64`
120×	`expm1-udef_binary64`
120×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	139	10
2	1588	10

Stop Event

1×	node limit

Counts

1 → 21

Calls

1 calls:

32.0ms

(*.f64 2 (fma.f64 x y (*.f64 x x)))

simplify73.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

599×	`sqr-pow_binary64`
386×	`cube-prod_binary64`
343×	`fma-def_binary64`
324×	`fabs-mul_binary64`
274×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	276
1	23	222
2	50	222
3	108	222
4	257	222
5	745	222
6	1187	222
7	1675	222
8	1842	222
9	1978	222
10	2151	222
11	2398	222
12	2716	222
13	3090	222
14	3549	222
15	4129	222
16	4839	222

Stop Event

1×	node limit

Counts

45 → 27

prune11.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	27	2	29

Error

Counts

29 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 2 (fma.f64 x y (.f64 x x)))
✓	0.0b	(.f64 x (.f64 2 (+.f64 y x)))

Compiler

Compiled 302 to 150 computations (50.3% saved)

regimes43.0ms (2.9%)

Accuracy

Total 0.0b remaining (86.1%)

Threshold costs 0.0b (86.1%)

Counts

10 → 1

Compiler

Compiled 388 to 260 computations (33% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	8	11

Stop Event

1×

saturated

end38.0ms (2.6%)

Compiler: Compiled 39 to 24 computations (38.5% saved)

Details

analyze94.0ms (6.3%)

sample794.0ms (53.5%)

simplify7.0ms (0.5%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

series12.0ms (0.8%)

rewrite43.0ms (2.9%)

simplify90.0ms (6.1%)

prune54.0ms (3.6%)

localize21.0ms (1.4%)

series6.0ms (0.4%)

rewrite41.0ms (2.8%)

simplify78.0ms (5.3%)

prune23.0ms (1.5%)

localize5.0ms (0.3%)

series8.0ms (0.5%)

rewrite32.0ms (2.2%)

simplify73.0ms (4.9%)

prune11.0ms (0.7%)

regimes43.0ms (2.9%)

simplify3.0ms (0.2%)

end38.0ms (2.6%)

Profiling