Details

analyze102.0ms (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
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)

sample674.0ms (46.5%)

Results

638.0ms	8256×	body	128	valid
1.0ms	7×	body	128	invalid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify11.0ms (0.8%)

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

prune2.0ms (0.2%)

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))

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 (5.1%)

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

prune15.0ms (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))
▶	1.0b	(fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (.f64 y y)))

Compiler

Compiled 356 to 109 computations (69.4% saved)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (.f64 y y)))
✓	0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
✓	0.6b	(cbrt.f64 x)

series241.0ms (16.6%)

Counts

3 → 48

Calls

3 calls:

170.0ms	(fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (.f64 y y)))
36.0ms	(cbrt.f64 x)
35.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))

rewrite9.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
19×	`cbrt-prod_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
10×	`pow1_binary64`

Counts

3 → 65

Calls

3 calls:

5.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
0.0ms	(fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (.f64 y y)))

simplify92.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

593×	`log-prod_binary64`
563×	`unswap-sqr_binary64`
440×	`exp-prod_binary64`
356×	`fma-neg_binary64`
325×	`associate-l_binary64`

Counts

113 → 97

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	879
1	123	808
2	349	770
3	1030	756
4	2777	664
5	4098	664
6	5000	664
7	4836	664

prune71.0ms (4.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	133	2	135

Error

Counts

135 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 x (*.f64 y y))
✓	1.0b	(fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (.f64 y y)))

Compiler

Compiled 2087 to 467 computations (77.6% saved)

regimes50.0ms (3.5%)

Accuracy

Total 0.0b remaining (6.4%)

Threshold costs 0.0b (6.4%)

Counts

11 → 1

Compiler

Compiled 556 to 302 computations (45.7% 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

end89.0ms (6.1%)

Compiler: Compiled 35 to 19 computations (45.7% 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

analyze102.0ms (7.1%)

sample674.0ms (46.5%)

simplify11.0ms (0.8%)

prune2.0ms (0.2%)

localize3.0ms (0.2%)

series5.0ms (0.3%)

rewrite3.0ms (0.2%)

simplify73.0ms (5.1%)

prune15.0ms (1%)

localize7.0ms (0.5%)

series241.0ms (16.6%)

rewrite9.0ms (0.6%)

simplify92.0ms (6.3%)

prune71.0ms (4.9%)

regimes50.0ms (3.5%)

simplify2.0ms (0.1%)

end89.0ms (6.1%)

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