Details

analyze91.0ms (4%)

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)

sample831.0ms (36.5%)

Results

777.0ms	8256×	body	128	valid
20.0ms	229×	body	128	invalid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify12.0ms (0.5%)

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)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series18.0ms (0.8%)

Counts

1 → 0

Calls

1 calls:

18.0ms

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

rewrite14.0ms (0.6%)

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))

simplify92.0ms (4.1%)

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 (1.7%)

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

0.0b

Counts

113 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
▶	2.2b	(expm1.f64 (log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))

Compiler

Compiled 2006 to 385 computations (80.8% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))
	0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
✓	2.2b	(expm1.f64 (log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))

series903.0ms (39.7%)

Counts

2 → 48

Calls

2 calls:

888.0ms	(log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))
15.0ms	(expm1.f64 (log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))

rewrite1.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`expm1-log1p-u_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 22

Calls

2 calls:

0.0ms	(log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))
0.0ms	(expm1.f64 (log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))

simplify141.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

752×	`times-frac_binary64`
720×	`unsub-neg_binary64`
625×	`distribute-frac-neg_binary64`
439×	`distribute-rgt-in_binary64`
378×	`distribute-lft-in_binary64`

Counts

70 → 32

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	938
1	37	885
2	57	885
3	91	885
4	152	885
5	334	885
6	1169	885
7	4234	885
8	4938	885
9	3920	885
10	4985	885
11	4997	885
12	4788	885

prune56.0ms (2.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	144	2	146

Error

0.0b

Counts

146 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
✓	2.2b	(expm1.f64 (log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))

Compiler

Compiled 2673 to 664 computations (75.2% saved)

regimes19.0ms (0.8%)

Accuracy

Total 0.0b remaining (11%)

Threshold costs 0.0b (11%)

Counts

4 → 1

Compiler

Compiled 144 to 98 computations (31.9% saved)

simplify2.0ms (0.1%)

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

end44.0ms (1.9%)

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

analyze91.0ms (4%)

sample831.0ms (36.5%)

simplify12.0ms (0.5%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

series18.0ms (0.8%)

rewrite14.0ms (0.6%)

simplify92.0ms (4.1%)

prune38.0ms (1.7%)

localize8.0ms (0.3%)

series903.0ms (39.7%)

rewrite1.0ms (0.1%)

simplify141.0ms (6.2%)

prune56.0ms (2.5%)

regimes19.0ms (0.8%)

simplify2.0ms (0.1%)

end44.0ms (1.9%)

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