Details

analyze563.0ms (27.1%)

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
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)

sample1.1s (53.7%)

Results

956.0ms	8256×	body	128	valid
67.0ms	726×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify29.0ms (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	(fma.f64 x (-.f64 y z) z)
▶	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

Compiler

Compiled 60 to 36 computations (40% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

4.0ms

(*.f64 (-.f64 1 x) z)

rewrite98.0ms (4.7%)

Algorithm

2×	batch-egg-rewrite

Rules

572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
278×	`log-prod_binary64`
143×	`prod-diff_binary64`
111×	`pow1/3_binary64`

Counts

1 → 36

Calls

1 calls:

97.0ms

(*.f64 (-.f64 1 x) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1446	7
3	4915	7
4	4972	7
0	0	0
1	0	0

simplify20.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

128×	`fma-def_binary64`
92×	`fma-neg_binary64`
23×	`cancel-sign-sub-inv_binary64`
18×	`associate-r_binary64`
18×	`sub-neg_binary64`

Counts

48 → 40

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	76
1	16	76
2	27	76
3	41	76
4	61	76
5	119	76
6	145	76
7	220	76
8	249	76
9	263	76
10	228	76

prune22.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Error

Counts

42 → 2

Alt Table

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

Compiler

Compiled 554 to 268 computations (51.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

6.0ms

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

rewrite49.0ms (2.4%)

Algorithm

2×	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 → 23

Calls

1 calls:

49.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

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

simplify37.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

261×	`fma-neg_binary64`
242×	`fma-def_binary64`
57×	`distribute-rgt-in_binary64`
36×	`associate--r+_binary64`
35×	`cancel-sign-sub-inv_binary64`

Counts

59 → 33

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	345
1	54	318
2	107	318
3	187	264
4	326	264
5	533	264
6	634	264
7	663	264
8	664	264
9	621	264

prune17.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

35 → 2

Alt Table

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

Compiler

Compiled 339 to 102 computations (69.9% saved)

regimes55.0ms (2.7%)

Accuracy

Total 0.0b remaining (75%)

Threshold costs 0.0b (75%)

Counts

10 → 1

Compiler

Compiled 376 to 246 computations (34.6% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	8	8
2	13	8
3	15	8
4	16	8
5	16	8

end44.0ms (2.1%)

Compiler: Compiled 39 to 23 computations (41% 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	7	76
1	16	76
2	27	76
3	41	76
4	61	76
5	119	76
6	145	76
7	220	76
8	249	76
9	263	76
10	228	76

Iter	Nodes	Cost
0	21	345
1	54	318
2	107	318
3	187	264
4	326	264
5	533	264
6	634	264
7	663	264
8	664	264
9	621	264

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	7	76
1	16	76
2	27	76
3	41	76
4	61	76
5	119	76
6	145	76
7	220	76
8	249	76
9	263	76
10	228	76

Iter	Nodes	Cost
0	21	345
1	54	318
2	107	318
3	187	264
4	326	264
5	533	264
6	634	264
7	663	264
8	664	264
9	621	264

Details

analyze563.0ms (27.1%)

sample1.1s (53.7%)

simplify29.0ms (1.4%)

prune3.0ms (0.1%)

localize6.0ms (0.3%)

series4.0ms (0.2%)

rewrite98.0ms (4.7%)

simplify20.0ms (0.9%)

prune22.0ms (1.1%)

localize4.0ms (0.2%)

series6.0ms (0.3%)

rewrite49.0ms (2.4%)

simplify37.0ms (1.8%)

prune17.0ms (0.8%)

regimes55.0ms (2.7%)

simplify4.0ms (0.2%)

end44.0ms (2.1%)

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	7	76
1	16	76
2	27	76
3	41	76
4	61	76
5	119	76
6	145	76
7	220	76
8	249	76
9	263	76
10	228	76

Iter	Nodes	Cost
0	21	345
1	54	318
2	107	318
3	187	264
4	326	264
5	533	264
6	634	264
7	663	264
8	664	264
9	621	264