Details

analyze85.0ms (5.3%)

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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample785.0ms (48.9%)

Results

727.0ms	8256×	body	128	valid
20.0ms	213×	body	128	invalid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify15.0ms (1%)

Algorithm

1×	egg-herbie

Rules

39×	`fma-neg_binary64`
17×	`sub-neg_binary64`
17×	`fma-def_binary64`
16×	`cancel-sign-sub-inv_binary64`
9×	`associate-/l*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	18	11
3	27	11
4	43	11
5	77	11
6	89	11
7	112	11
8	136	11
9	159	11
10	167	11
11	161	11
12	144	11

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

series18.0ms (1.1%)

Counts

1 → 0

Calls

1 calls:

18.0ms

(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

rewrite15.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

71×	`add-sqr-sqrt_binary64`
70×	`fabs-mul_binary64`
63×	`times-frac_binary64`
53×	`*-un-lft-identity_binary64`
37×	`add-cube-cbrt_binary64`

Counts

1 → 96

Calls

1 calls:

6.0ms

(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

simplify89.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

901×	`div-sub_binary64`
444×	`associate-/l/_binary64`
439×	`times-frac_binary64`
383×	`associate-/l*_binary64`
382×	`fma-def_binary64`

Counts

96 → 112

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	147	2173
1	222	2127
2	491	2127
3	1085	2127
4	2714	2127
5	5167	2127

prune38.0ms (2.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	111	2	113

Error

Counts

113 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
▶	0.1b	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

Compiler

Compiled 2006 to 385 computations (80.8% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

series18.0ms (1.1%)

Counts

1 → 24

Calls

1 calls:

18.0ms

(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

rewrite60.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Rules

459×	`times-frac_binary64`
323×	`add-sqr-sqrt_binary64`
259×	`*-un-lft-identity_binary64`
248×	`fabs-mul_binary64`
203×	`add-cube-cbrt_binary64`

Counts

1 → 302

Calls

1 calls:

13.0ms

(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

simplify261.0ms (16.2%)

Algorithm

1×	egg-herbie

Rules

833×	`fma-def_binary64`
463×	`times-frac_binary64`
352×	`associate-/r/_binary64`
310×	`associate-/r*_binary64`
266×	`associate-/l*_binary64`

Counts

326 → 371

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	8155
1	428	7337
2	1142	7124
3	2932	7124
4	4077	7124
5	5298	7124

prune142.0ms (8.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	371	0	371
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	371	2	373

Error

Counts

373 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
✓	0.1b	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

Compiler

Compiled 8249 to 2340 computations (71.6% saved)

regimes22.0ms (1.4%)

Accuracy

Total 0.0b remaining (37.8%)

Threshold costs 0.0b (37.8%)

Counts

5 → 1

Compiler

Compiled 228 to 131 computations (42.5% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	18	11
3	23	11
4	26	11
5	27	11
6	27	11

end42.0ms (2.6%)

Compiler: Compiled 38 to 26 computations (31.6% saved)

Iter	Nodes	Cost
0	7	11
1	11	11
2	18	11
3	27	11
4	43	11
5	77	11
6	89	11
7	112	11
8	136	11
9	159	11
10	167	11
11	161	11
12	144	11

Iter	Nodes	Cost
0	7	11
1	11	11
2	18	11
3	27	11
4	43	11
5	77	11
6	89	11
7	112	11
8	136	11
9	159	11
10	167	11
11	161	11
12	144	11

Details

analyze85.0ms (5.3%)

sample785.0ms (48.9%)

simplify15.0ms (1%)

prune1.0ms (0.1%)

localize6.0ms (0.4%)

series18.0ms (1.1%)

rewrite15.0ms (0.9%)

simplify89.0ms (5.6%)

prune38.0ms (2.4%)

localize6.0ms (0.4%)

series18.0ms (1.1%)

rewrite60.0ms (3.7%)

simplify261.0ms (16.2%)

prune142.0ms (8.9%)

regimes22.0ms (1.4%)

simplify3.0ms (0.2%)

end42.0ms (2.6%)

Profiling

Iter	Nodes	Cost
0	7	11
1	11	11
2	18	11
3	27	11
4	43	11
5	77	11
6	89	11
7	112	11
8	136	11
9	159	11
10	167	11
11	161	11
12	144	11