Details

analyze442.0ms (23.3%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
28.1%	68.6%	3.3%	9
40.6%	52.3%	7.2%	10
49.1%	42.1%	8.7%	11
51.5%	37.3%	11.3%	12
59.1%	27.1%	13.8%	13
63.7%	21.9%	14.4%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample959.0ms (50.5%)

Results

799.0ms	8256×	body	128	valid
71.0ms	698×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify25.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

299×	`fma-neg_binary64`
252×	`fma-def_binary64`
95×	`cancel-sign-sub-inv_binary64`
42×	`distribute-rgt-neg-in_binary64`
41×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	18	11
2	28	11
3	37	10
4	53	10
5	77	10
6	115	10
7	176	10
8	349	10
9	516	10
10	594	10
11	665	10
12	670	10
13	627	10

prune4.0ms (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

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 x (+.f64 y z) (neg.f64 z))
	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

Compiler

Compiled 63 to 39 computations (38.1% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (+.f64 y z) (neg.f64 z))

series7.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

7.0ms

(fma.f64 x (+.f64 y z) (neg.f64 z))

rewrite65.0ms (3.4%)

Algorithm

2×	batch-egg-rewrite

Rules

782×	`prod-diff_binary64`
673×	`log1p-expm1-u_binary64`
673×	`expm1-log1p-u_binary64`
155×	`egg-rr`
80×	`add-sqr-sqrt_binary64`

Counts

1 → 155

Calls

1 calls:

59.0ms

(fma.f64 x (+.f64 y z) (neg.f64 z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	152	8
2	1703	8
3	5439	8
0	0	0
1	0	0

simplify39.0ms (2%)

Algorithm

1×	egg-herbie

Rules

314×	`fma-def_binary64`
247×	`fma-neg_binary64`
54×	`cancel-sign-sub-inv_binary64`
44×	`associate-r_binary64`
40×	`distribute-rgt-in_binary64`

Counts

191 → 165

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	320
1	43	320
2	81	320
3	139	320
4	243	320
5	426	320
6	650	320
7	661	320
8	668	320
9	625	320

prune58.0ms (3.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	165	2	167

Error

Counts

167 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x (+.f64 y z) (neg.f64 z))
▶	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

Compiler

Compiled 3612 to 675 computations (81.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 x 1) z)
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

series12.0ms (0.6%)

Counts

2 → 48

Calls

2 calls:

8.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
4.0ms	(*.f64 (-.f64 x 1) z)

rewrite84.0ms (4.4%)

Algorithm

2×	batch-egg-rewrite

Rules

465×	`log-prod_binary64`
376×	`fma-def_binary64`
280×	`fma-neg_binary64`
170×	`pow1/3_binary64`
170×	`expm1-udef_binary64`

Counts

2 → 91

Calls

2 calls:

82.0ms	(*.f64 (-.f64 x 1) z)
82.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	194	18
2	2409	18
3	4955	18
4	5016	18
0	0	0
1	0	0

simplify39.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

314×	`fma-def_binary64`
247×	`fma-neg_binary64`
54×	`cancel-sign-sub-inv_binary64`
44×	`associate-r_binary64`
40×	`distribute-rgt-in_binary64`

Counts

139 → 102

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	394
1	43	394
2	81	394
3	139	394
4	243	394
5	426	394
6	650	394
7	661	394
8	668	394
9	625	394

prune50.0ms (2.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	102	2	104

Error

Counts

104 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x (+.f64 y z) (neg.f64 z))
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

Compiler

Compiled 1496 to 831 computations (44.5% saved)

regimes54.0ms (2.9%)

Accuracy

Total 0.0b remaining (74%)

Threshold costs 0.0b (74%)

Counts

14 → 1

Compiler

Compiled 548 to 362 computations (33.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	14	11
2	15	11
3	13	11

end46.0ms (2.4%)

Compiler: Compiled 44 to 28 computations (36.4% saved)

Iter	Nodes	Cost
0	9	11
1	18	11
2	28	11
3	37	10
4	53	10
5	77	10
6	115	10
7	176	10
8	349	10
9	516	10
10	594	10
11	665	10
12	670	10
13	627	10

Iter	Nodes	Cost
0	19	320
1	43	320
2	81	320
3	139	320
4	243	320
5	426	320
6	650	320
7	661	320
8	668	320
9	625	320

Iter	Nodes	Cost
0	19	394
1	43	394
2	81	394
3	139	394
4	243	394
5	426	394
6	650	394
7	661	394
8	668	394
9	625	394

Iter	Nodes	Cost
0	9	11
1	18	11
2	28	11
3	37	10
4	53	10
5	77	10
6	115	10
7	176	10
8	349	10
9	516	10
10	594	10
11	665	10
12	670	10
13	627	10

Iter	Nodes	Cost
0	19	320
1	43	320
2	81	320
3	139	320
4	243	320
5	426	320
6	650	320
7	661	320
8	668	320
9	625	320

Iter	Nodes	Cost
0	19	394
1	43	394
2	81	394
3	139	394
4	243	394
5	426	394
6	650	394
7	661	394
8	668	394
9	625	394

Details

analyze442.0ms (23.3%)

sample959.0ms (50.5%)

simplify25.0ms (1.3%)

prune4.0ms (0.2%)

localize5.0ms (0.3%)

series7.0ms (0.4%)

rewrite65.0ms (3.4%)

simplify39.0ms (2%)

prune58.0ms (3.1%)

localize5.0ms (0.3%)

series12.0ms (0.6%)

rewrite84.0ms (4.4%)

simplify39.0ms (2.1%)

prune50.0ms (2.6%)

regimes54.0ms (2.9%)

simplify2.0ms (0.1%)

end46.0ms (2.4%)

Profiling

Iter	Nodes	Cost
0	9	11
1	18	11
2	28	11
3	37	10
4	53	10
5	77	10
6	115	10
7	176	10
8	349	10
9	516	10
10	594	10
11	665	10
12	670	10
13	627	10

Iter	Nodes	Cost
0	19	320
1	43	320
2	81	320
3	139	320
4	243	320
5	426	320
6	650	320
7	661	320
8	668	320
9	625	320

Iter	Nodes	Cost
0	19	394
1	43	394
2	81	394
3	139	394
4	243	394
5	426	394
6	650	394
7	661	394
8	668	394
9	625	394