Details

analyze93.0ms (6.1%)

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
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)

sample892.0ms (58.6%)

Results

818.0ms	8256×	body	128	valid
12.0ms	151×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify29.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

388×	`fma-def_binary64`
286×	`fma-neg_binary64`
71×	`distribute-rgt-in_binary64`
70×	`associate-l_binary64`
69×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	18	10
2	40	10
3	88	10
4	154	10
5	217	10
6	386	10
7	511	10
8	657	10
9	727	10
10	777	10
11	724	10

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)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series15.0ms (1%)

Counts

2 → 48

Calls

2 calls:

9.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
5.0ms	(-.f64 (.f64 x x) (.f64 x y))

rewrite55.0ms (3.6%)

Algorithm

2×	batch-egg-rewrite

Rules

885×	`log1p-expm1-u_binary64`
885×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`
85×	`add-log-exp_binary64`
84×	`add-cube-cbrt_binary64`

Counts

2 → 75

Calls

2 calls:

54.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
54.0ms	(-.f64 (.f64 x x) (.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	179	17
2	2233	17
3	5327	17
0	0	0
1	0	0

simplify129.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

952×	`fma-neg_binary64`
477×	`distribute-rgt-neg-in_binary64`
415×	`neg-mul-1_binary64`
398×	`associate-l_binary64`
323×	`distribute-lft-neg-in_binary64`

Counts

123 → 86

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	486
1	41	378
2	85	378
3	193	378
4	463	378
5	1330	378
6	2262	378
7	3720	378
8	4561	378
9	4926	378
10	4995	378
11	4875	378

prune42.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	86	2	88

Error

0.0b

Counts

88 → 2

Alt Table

Status	Error	Program
▶	0.3b	(.f64 x (.f64 2 (-.f64 x y)))
✓	0.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 1259 to 521 computations (58.6% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 2 (-.f64 x y)))

series7.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

6.0ms

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

rewrite50.0ms (3.3%)

Algorithm

2×	batch-egg-rewrite

Rules

767×	`log1p-expm1-u_binary64`
767×	`expm1-log1p-u_binary64`
359×	`prod-diff_binary64`
78×	`add-sqr-sqrt_binary64`
73×	`add-log-exp_binary64`

Counts

1 → 20

Calls

1 calls:

49.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	153	10
2	1930	10
3	5356	10
0	0	0
1	0	0

simplify97.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

675×	`fma-neg_binary64`
534×	`fma-def_binary64`
453×	`distribute-rgt-neg-in_binary64`
382×	`neg-mul-1_binary64`
377×	`neg-sub0_binary64`

Counts

44 → 25

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	276
1	31	222
2	72	222
3	165	222
4	415	222
5	1182	222
6	2315	222
7	3491	222
8	4278	222
9	4933	222
10	4866	222

prune14.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	25	2	27

Error

0.0b

Counts

27 → 2

Alt Table

Status	Error	Program
✓	0.3b	(.f64 x (.f64 2 (-.f64 x y)))
✓	0.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 274 to 166 computations (39.4% saved)

regimes44.0ms (2.9%)

Accuracy

Total 0.0b remaining (78.7%)

Threshold costs 0.0b (78.7%)

Counts

10 → 1

Compiler

Compiled 384 to 264 computations (31.3% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	16	10
3	18	10
4	19	10
5	19	10

end37.0ms (2.5%)

Compiler: Compiled 38 to 25 computations (34.2% saved)

Iter	Nodes	Cost
0	8	10
1	18	10
2	40	10
3	88	10
4	154	10
5	217	10
6	386	10
7	511	10
8	657	10
9	727	10
10	777	10
11	724	10

Iter	Nodes	Cost
0	8	10
1	18	10
2	40	10
3	88	10
4	154	10
5	217	10
6	386	10
7	511	10
8	657	10
9	727	10
10	777	10
11	724	10

Details

analyze93.0ms (6.1%)

sample892.0ms (58.6%)

simplify29.0ms (1.9%)

prune3.0ms (0.2%)

localize6.0ms (0.4%)

series15.0ms (1%)

rewrite55.0ms (3.6%)

simplify129.0ms (8.5%)

prune42.0ms (2.7%)

localize4.0ms (0.3%)

series7.0ms (0.4%)

rewrite50.0ms (3.3%)

simplify97.0ms (6.4%)

prune14.0ms (0.9%)

regimes44.0ms (2.9%)

simplify5.0ms (0.3%)

end37.0ms (2.5%)

Profiling

Iter	Nodes	Cost
0	8	10
1	18	10
2	40	10
3	88	10
4	154	10
5	217	10
6	386	10
7	511	10
8	657	10
9	727	10
10	777	10
11	724	10