Details

analyze68.0ms (7.1%)

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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
43.7%	34.3%	22%	7
46.8%	29.7%	23.5%	8
58.5%	17.2%	24.3%	9
60.5%	14.8%	24.7%	10
66.5%	8.6%	24.9%	11
67.6%	7.4%	25%	12
70.7%	4.3%	25%	13
71.2%	3.7%	25%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample35.0ms (3.6%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify16.0ms (1.6%)

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))

series5.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

5.0ms

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

rewrite5.0ms (0.5%)

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:

4.0ms

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

simplify77.0ms (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

prune25.0ms (2.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

Counts

32 → 1

Alt Table

Status	Error	Program
▶	0b	(+.f64 (fma.f64 1 x (neg.f64 (.f64 y y))) (fma.f64 (neg.f64 y) y (.f64 y y)))

Compiler

Compiled 355 to 109 computations (69.3% saved)

localize8.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1 x (neg.f64 (*.f64 y y)))
✓	42.6b	(fma.f64 (neg.f64 y) y (*.f64 y y))

series11.0ms (1.2%)

Counts

2 → 36

Calls

2 calls:

8.0ms	(fma.f64 1 x (neg.f64 (*.f64 y y)))
4.0ms	(fma.f64 (neg.f64 y) y (*.f64 y y))

rewrite1.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`
2×	`add-exp-log_binary64`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma.f64 1 x (neg.f64 (*.f64 y y)))
0.0ms	(fma.f64 (neg.f64 y) y (*.f64 y y))

simplify78.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

850×	`unsub-neg_binary64`
409×	`fma-neg_binary64`
374×	`times-frac_binary64`
227×	`distribute-rgt-neg-out_binary64`
220×	`distribute-lft-neg-out_binary64`

Counts

56 → 42

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	385
1	49	343
2	104	287
3	304	287
4	1030	287
5	2093	287
6	3955	287
7	4950	287
8	4864	287

prune57.0ms (6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	1	43

Error

Counts

43 → 1

Alt Table

Status	Error	Program
✓	0b	(+.f64 (fma.f64 1 x (neg.f64 (.f64 y y))) (fma.f64 (neg.f64 y) y (.f64 y y)))

Compiler

Compiled 743 to 224 computations (69.9% saved)

regimes149.0ms (15.6%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

35 → 1

Compiler

Compiled 2024 to 1243 computations (38.6% saved)

simplify2.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	24	19
3	26	19
4	26	19

end0.0ms (0%)

Compiler: Compiled 15 to 7 computations (53.3% saved)

sample412.0ms (43.2%)

Algorithm

1×

intervals

Results

173.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 42 to 23 computations (45.2% 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

analyze68.0ms (7.1%)

sample35.0ms (3.6%)

simplify16.0ms (1.6%)

prune1.0ms (0.1%)

localize3.0ms (0.3%)

series5.0ms (0.6%)

rewrite5.0ms (0.5%)

simplify77.0ms (8%)

prune25.0ms (2.6%)

localize8.0ms (0.8%)

series11.0ms (1.2%)

rewrite1.0ms (0.1%)

simplify78.0ms (8.2%)

prune57.0ms (6%)

regimes149.0ms (15.6%)

simplify2.0ms (0.3%)

end0.0ms (0%)

sample412.0ms (43.2%)

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