Details

analyze93.0ms (5.9%)

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)

sample754.0ms (47.9%)

Results

719.0ms	8256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify11.0ms (0.7%)

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

prune11.0ms (0.7%)

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))

series5.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

5.0ms

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

rewrite4.0ms (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:

3.0ms

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

simplify75.0ms (4.8%)

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

prune12.0ms (0.8%)

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
▶	1.4b	(.f64 (.f64 (cbrt.f64 (-.f64 x (.f64 y y))) (cbrt.f64 (-.f64 x (.f64 y y)))) (cbrt.f64 (-.f64 x (*.f64 y y))))
✓	0.0b	(-.f64 x (*.f64 y y))

Compiler

Compiled 372 to 109 computations (70.7% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 x (*.f64 y y))
✓	0.3b	(.f64 (.f64 (cbrt.f64 (-.f64 x (.f64 y y))) (cbrt.f64 (-.f64 x (.f64 y y)))) (cbrt.f64 (-.f64 x (*.f64 y y))))
✓	0.5b	(.f64 (cbrt.f64 (-.f64 x (.f64 y y))) (cbrt.f64 (-.f64 x (*.f64 y y))))
✓	0.6b	(cbrt.f64 (-.f64 x (*.f64 y y)))

series92.0ms (5.9%)

Counts

3 → 72

Calls

3 calls:

43.0ms

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

34.0ms

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

15.0ms

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

rewrite39.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

68×	`cbrt-div_binary64`
34×	`flip--_binary64`
34×	`flip3--_binary64`
32×	`frac-times_binary64`
30×	`add-sqr-sqrt_binary64`

Counts

3 → 134

Calls

3 calls:

12.0ms

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

8.0ms

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

2.0ms

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

simplify155.0ms (9.8%)

Algorithm

1×	egg-herbie

Rules

945×	`times-frac_binary64`
802×	`fma-def_binary64`
313×	`associate-r_binary64`
285×	`associate-l_binary64`
194×	`fma-neg_binary64`

Counts

206 → 249

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	325	5737
1	811	5437
2	2791	5155
3	4982	5155
4	4980	5155

prune213.0ms (13.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	464	0	464
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	464	2	466

Error

Counts

466 → 2

Alt Table

Status	Error	Program
✓	1.4b	(.f64 (.f64 (cbrt.f64 (-.f64 x (.f64 y y))) (cbrt.f64 (-.f64 x (.f64 y y)))) (cbrt.f64 (-.f64 x (*.f64 y y))))
✓	0.0b	(-.f64 x (*.f64 y y))

Compiler

Compiled 15803 to 5293 computations (66.5% saved)

regimes59.0ms (3.7%)

Accuracy

Total 0.0b remaining (19%)

Threshold costs 0.0b (19%)

Counts

14 → 1

Compiler

Compiled 860 to 462 computations (46.3% saved)

simplify2.0ms (0.1%)

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

end37.0ms (2.3%)

Compiler: Compiled 43 to 19 computations (55.8% 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

analyze93.0ms (5.9%)

sample754.0ms (47.9%)

simplify11.0ms (0.7%)

prune11.0ms (0.7%)

localize3.0ms (0.2%)

series5.0ms (0.3%)

rewrite4.0ms (0.2%)

simplify75.0ms (4.8%)

prune12.0ms (0.8%)

localize9.0ms (0.6%)

series92.0ms (5.9%)

rewrite39.0ms (2.5%)

simplify155.0ms (9.8%)

prune213.0ms (13.5%)

regimes59.0ms (3.7%)

simplify2.0ms (0.1%)

end37.0ms (2.3%)

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