Details

analyze599.0ms (29.5%)

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
34.3%	62.4%	3.3%	9
40.6%	52.3%	7.2%	10
49.1%	42.1%	8.7%	11
56.2%	32.6%	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)

sample1.0s (50.2%)

Results

850.0ms	8256×	body	128	valid
67.0ms	663×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify28.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

354×	`fma-def_binary64`
250×	`fma-neg_binary64`
52×	`cancel-sign-sub-inv_binary64`
45×	`distribute-rgt-in_binary64`
43×	`associate--r+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	49	11
4	107	9
5	172	8
6	255	8
7	420	8
8	552	8
9	624	8
10	654	8
11	664	8
12	621	8

prune3.0ms (0.1%)

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	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
▶	0.0b	(fma.f64 x (-.f64 z y) y)

Compiler

Compiled 60 to 36 computations (40% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

6.0ms

(fma.f64 x (-.f64 z y) y)

rewrite49.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`log1p-expm1-u_binary64`
686×	`expm1-log1p-u_binary64`
423×	`prod-diff_binary64`
69×	`add-sqr-sqrt_binary64`
64×	`add-log-exp_binary64`

Counts

1 → 24

Calls

1 calls:

48.0ms

(fma.f64 x (-.f64 z y) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	130	8
2	1689	8
3	4956	8

simplify34.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

270×	`fma-neg_binary64`
254×	`fma-def_binary64`
62×	`distribute-rgt-in_binary64`
38×	`cancel-sign-sub-inv_binary64`
36×	`unsub-neg_binary64`

Counts

60 → 33

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	399
1	54	318
2	110	264
3	183	264
4	358	264
5	564	264
6	642	264
7	666	264
8	623	264

prune16.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	33	2	35

Error

Counts

35 → 2

Alt Table

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

Compiler

Compiled 351 to 110 computations (68.7% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series10.0ms (0.5%)

Counts

2 → 48

Calls

2 calls:

7.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
4.0ms	(*.f64 (-.f64 1 x) y)

rewrite63.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
382×	`fma-def_binary64`
176×	`pow1/3_binary64`
174×	`expm1-udef_binary64`
173×	`log1p-udef_binary64`

Counts

2 → 100

Calls

2 calls:

61.0ms	(*.f64 (-.f64 1 x) y)
61.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	192	18
2	2442	18
3	4985	18

simplify35.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

269×	`fma-neg_binary64`
261×	`fma-def_binary64`
61×	`distribute-rgt-in_binary64`
38×	`cancel-sign-sub-inv_binary64`
36×	`unsub-neg_binary64`

Counts

148 → 112

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	475
1	57	394
2	112	340
3	185	340
4	358	340
5	564	340
6	642	340
7	666	340
8	623	340

prune56.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	112	2	114

Error

Counts

114 → 2

Alt Table

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

Compiler

Compiled 1622 to 850 computations (47.6% saved)

regimes57.0ms (2.8%)

Accuracy

Total 0.0b remaining (82.4%)

Threshold costs 0.0b (82.4%)

Counts

14 → 1

Compiler

Compiled 552 to 362 computations (34.4% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-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	8	11
1	13	11
2	17	11
3	19	11
4	20	11
5	19	11

end38.0ms (1.9%)

Compiler: Compiled 43 to 27 computations (37.2% saved)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	49	11
4	107	9
5	172	8
6	255	8
7	420	8
8	552	8
9	624	8
10	654	8
11	664	8
12	621	8

Iter	Nodes	Cost
0	21	399
1	54	318
2	110	264
3	183	264
4	358	264
5	564	264
6	642	264
7	666	264
8	623	264

Iter	Nodes	Cost
0	22	475
1	57	394
2	112	340
3	185	340
4	358	340
5	564	340
6	642	340
7	666	340
8	623	340

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	49	11
4	107	9
5	172	8
6	255	8
7	420	8
8	552	8
9	624	8
10	654	8
11	664	8
12	621	8

Iter	Nodes	Cost
0	21	399
1	54	318
2	110	264
3	183	264
4	358	264
5	564	264
6	642	264
7	666	264
8	623	264

Iter	Nodes	Cost
0	22	475
1	57	394
2	112	340
3	185	340
4	358	340
5	564	340
6	642	340
7	666	340
8	623	340

Details

analyze599.0ms (29.5%)

sample1.0s (50.2%)

simplify28.0ms (1.4%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

series7.0ms (0.3%)

rewrite49.0ms (2.4%)

simplify34.0ms (1.7%)

prune16.0ms (0.8%)

localize7.0ms (0.3%)

series10.0ms (0.5%)

rewrite63.0ms (3.1%)

simplify35.0ms (1.7%)

prune56.0ms (2.8%)

regimes57.0ms (2.8%)

simplify4.0ms (0.2%)

end38.0ms (1.9%)

Profiling

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	49	11
4	107	9
5	172	8
6	255	8
7	420	8
8	552	8
9	624	8
10	654	8
11	664	8
12	621	8

Iter	Nodes	Cost
0	21	399
1	54	318
2	110	264
3	183	264
4	358	264
5	564	264
6	642	264
7	666	264
8	623	264

Iter	Nodes	Cost
0	22	475
1	57	394
2	112	340
3	185	340
4	358	340
5	564	340
6	642	340
7	666	340
8	623	340