Details

analyze98.0ms (8.3%)

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
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)

sample723.0ms (61.2%)

Results

685.0ms	8256×	body	128	valid
0.0ms	5×	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 (0.3%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

8.0ms

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

rewrite3.0ms (0.3%)

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))

simplify75.0ms (6.3%)

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

prune12.0ms (1%)

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
✓	0.0b	(-.f64 x (*.f64 y y))
▶	33.2b	(*.f64 (+.f64 (sqrt.f64 x) y) (-.f64 (sqrt.f64 x) y))

Compiler

Compiled 350 to 107 computations (69.4% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sqrt.f64 x) y)
✓	0.2b	(*.f64 (+.f64 (sqrt.f64 x) y) (-.f64 (sqrt.f64 x) y))

series27.0ms (2.3%)

Counts

2 → 26

Calls

2 calls:

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

rewrite25.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64`
38×	`add-sqr-sqrt_binary64`
36×	`prod-diff_binary64`
32×	`add-cube-cbrt_binary64`
22×	`distribute-lft-in_binary64`

Counts

2 → 96

Calls

2 calls:

12.0ms	(*.f64 (+.f64 (sqrt.f64 x) y) (-.f64 (sqrt.f64 x) y))
3.0ms	(+.f64 (sqrt.f64 x) y)

simplify83.0ms (7%)

Algorithm

1×	egg-herbie

Rules

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

Counts

122 → 127

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	1849
1	312	1716
2	1195	1520
3	4957	1520
4	4933	1520

prune37.0ms (3.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	127	2	129

Error

Counts

129 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 x (*.f64 y y))
✓	33.2b	(*.f64 (+.f64 (sqrt.f64 x) y) (-.f64 (sqrt.f64 x) y))

Compiler

Compiled 2704 to 543 computations (79.9% saved)

regimes24.0ms (2%)

Accuracy

Total 0.0b remaining (46.6%)

Threshold costs 0.0b (46.6%)

Counts

4 → 1

Compiler

Compiled 144 to 86 computations (40.3% saved)

simplify3.0ms (0.2%)

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

end41.0ms (3.5%)

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

analyze98.0ms (8.3%)

sample723.0ms (61.2%)

simplify12.0ms (1%)

prune1.0ms (0.1%)

localize3.0ms (0.3%)

series8.0ms (0.7%)

rewrite3.0ms (0.3%)

simplify75.0ms (6.3%)

prune12.0ms (1%)

localize5.0ms (0.4%)

series27.0ms (2.3%)

rewrite25.0ms (2.1%)

simplify83.0ms (7%)

prune37.0ms (3.2%)

regimes24.0ms (2%)

simplify3.0ms (0.2%)

end41.0ms (3.5%)

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