Details

analyze100.0ms (8%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
37.5%	40.6%	22%	7
43.7%	32.8%	23.5%	8
54.6%	21.1%	24.3%	9
58.5%	16.8%	24.7%	10
64.4%	10.7%	24.9%	11
66.5%	8.5%	25%	12
69.6%	5.4%	25%	13
70.7%	4.3%	25%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample739.0ms (58.7%)

Results

661.0ms	8256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify12.0ms (1%)

Algorithm

1×	egg-herbie

Rules

65×	`fma-def_binary64`
44×	`fma-neg_binary64`
21×	`cancel-sign-sub-inv_binary64`
15×	`sub-neg_binary64`
11×	`neg-mul-1_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	17	7
3	28	7
4	41	7
5	64	7
6	91	7
7	118	7
8	141	7
9	151	7
10	163	7
11	167	7
12	148	7

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 x (*.f64 y y))

Compiler

Compiled 21 to 12 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

6.0ms

(-.f64 x (*.f64 y y))

rewrite3.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-sqr-sqrt_binary64`
3×	`add-log-exp_binary64`
3×	`fma-neg_binary64`
3×	`*-un-lft-identity_binary64`
3×	`prod-diff_binary64`

Counts

1 → 21

Calls

1 calls:

2.0ms

(-.f64 x (*.f64 y y))

simplify73.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

480×	`fma-def_binary64`
363×	`unswap-sqr_binary64`
357×	`unsub-neg_binary64`
272×	`times-frac_binary64`
246×	`*-commutative_binary64`

Counts

45 → 31

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	410
1	103	373
2	230	354
3	791	352
4	2076	352
5	3656	352
6	4833	352
7	4799	352

prune46.0ms (3.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Error

Counts

32 → 2

Alt Table

Status	Error	Program
▶	35.4b	(*.f64 (+.f64 (sqrt.f64 x) y) (-.f64 (sqrt.f64 x) y))
✓	0.0b	(-.f64 x (*.f64 y y))

Compiler

Compiled 350 to 107 computations (69.4% saved)

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (sqrt.f64 x) y)
✓	0.0b	(+.f64 (sqrt.f64 x) y)
✓	0.1b	(*.f64 (+.f64 (sqrt.f64 x) y) (-.f64 (sqrt.f64 x) y))

series35.0ms (2.8%)

Counts

3 → 30

Calls

3 calls:

20.0ms	(*.f64 (+.f64 (sqrt.f64 x) y) (-.f64 (sqrt.f64 x) y))
8.0ms	(+.f64 (sqrt.f64 x) y)
7.0ms	(-.f64 (sqrt.f64 x) y)

rewrite30.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-sqr-sqrt_binary64`
56×	`*-un-lft-identity_binary64`
54×	`prod-diff_binary64`
48×	`add-cube-cbrt_binary64`
35×	`sqrt-prod_binary64`

Counts

3 → 139

Calls

3 calls:

11.0ms	(*.f64 (+.f64 (sqrt.f64 x) y) (-.f64 (sqrt.f64 x) y))
4.0ms	(-.f64 (sqrt.f64 x) y)
3.0ms	(+.f64 (sqrt.f64 x) y)

simplify97.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

861×	`distribute-rgt-in_binary64`
817×	`distribute-lft-in_binary64`
705×	`fma-def_binary64`
152×	`associate-l_binary64`
146×	`associate-r_binary64`

Counts

169 → 172

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	2321
1	318	2137
2	1205	1887
3	4976	1887
4	4952	1887

prune49.0ms (3.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	172	2	174

Error

Counts

174 → 2

Alt Table

Status	Error	Program
✓	35.4b	(*.f64 (+.f64 (sqrt.f64 x) y) (-.f64 (sqrt.f64 x) y))
✓	0.0b	(-.f64 x (*.f64 y y))

Compiler

Compiled 3609 to 709 computations (80.4% saved)

regimes23.0ms (1.8%)

Accuracy

Total 0.0b remaining (31.8%)

Threshold costs 0.0b (31.8%)

Counts

4 → 1

Compiler

Compiled 144 to 86 computations (40.3% saved)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`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	5	7
1	10	7
2	17	7
3	21	7
4	23	7
5	23	7

end32.0ms (2.6%)

Compiler: Compiled 32 to 18 computations (43.8% saved)

Iter	Nodes	Cost
0	5	7
1	10	7
2	17	7
3	28	7
4	41	7
5	64	7
6	91	7
7	118	7
8	141	7
9	151	7
10	163	7
11	167	7
12	148	7

Iter	Nodes	Cost
0	5	7
1	10	7
2	17	7
3	28	7
4	41	7
5	64	7
6	91	7
7	118	7
8	141	7
9	151	7
10	163	7
11	167	7
12	148	7

Details

analyze100.0ms (8%)

sample739.0ms (58.7%)

simplify12.0ms (1%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series6.0ms (0.5%)

rewrite3.0ms (0.2%)

simplify73.0ms (5.8%)

prune46.0ms (3.6%)

localize5.0ms (0.4%)

series35.0ms (2.8%)

rewrite30.0ms (2.4%)

simplify97.0ms (7.7%)

prune49.0ms (3.9%)

regimes23.0ms (1.8%)

simplify3.0ms (0.3%)

end32.0ms (2.6%)

Profiling

Iter	Nodes	Cost
0	5	7
1	10	7
2	17	7
3	28	7
4	41	7
5	64	7
6	91	7
7	118	7
8	141	7
9	151	7
10	163	7
11	167	7
12	148	7