Details

analyze364.0ms (20%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	47.6%	5.6%	10
54.6%	39.4%	6%	11
62.8%	31%	6.2%	12
66.9%	23.9%	9.2%	13
71.7%	19%	9.4%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample834.0ms (45.9%)

Symmetry

(sort y z)

Results

753.0ms	8256×	body	128	valid
29.0ms	318×	body	128	invalid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify13.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

100×	`fma-def_binary64`
56×	`fma-neg_binary64`
28×	`cancel-sign-sub-inv_binary64`
18×	`sub-neg_binary64`
13×	`distribute-rgt-neg-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	22	7
3	39	7
4	53	7
5	83	7
6	115	7
7	142	7
8	178	7
9	186	7
10	206	7
11	212	7
12	189	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 z))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.3%)

Counts

1 → 9

Calls

1 calls:

5.0ms

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

rewrite3.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

2.0ms

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

simplify249.0ms (13.7%)

Algorithm

1×	egg-herbie

Rules

520×	`fma-def_binary64`
468×	`unsub-neg_binary64`
418×	`sub-neg_binary64`
312×	`times-frac_binary64`
248×	`neg-mul-1_binary64`

Counts

29 → 27

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	321
1	106	255
2	271	237
3	937	237
4	2175	237
5	3396	237
6	4633	237
7	4756	237
8	4854	237

prune18.0ms (1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	1	28

Error

0.0b

Counts

28 → 1

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (fma.f64 1 x (neg.f64 (.f64 z y))) (fma.f64 (neg.f64 z) y (.f64 z y)))

Compiler

Compiled 337 to 104 computations (69.1% saved)

localize10.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1 x (neg.f64 (*.f64 z y)))
✓	50.4b	(fma.f64 (neg.f64 z) y (*.f64 z y))

series13.0ms (0.7%)

Counts

2 → 60

Calls

2 calls:

7.0ms	(fma.f64 (neg.f64 z) y (*.f64 z y))
6.0ms	(fma.f64 1 x (neg.f64 (*.f64 z 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 (neg.f64 z) y (*.f64 z y))
0.0ms	(fma.f64 1 x (neg.f64 (*.f64 z y)))

simplify66.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1529×	`unsub-neg_binary64`
343×	`fma-neg_binary64`
307×	`times-frac_binary64`
299×	`neg-sub0_binary64`
276×	`neg-mul-1_binary64`

Counts

80 → 41

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	473
1	52	431
2	107	375
3	347	375
4	958	375
5	1869	375
6	3757	375
7	5050	375

prune26.0ms (1.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	1	42

Error

0.0b

Counts

42 → 1

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (fma.f64 1 x (neg.f64 (.f64 z y))) (fma.f64 (neg.f64 z) y (.f64 z y)))

Compiler

Compiled 732 to 222 computations (69.7% saved)

regimes163.0ms (8.9%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

27 → 1

Compiler

Compiled 1942 to 1281 computations (34% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	20	19
2	29	19
3	34	19
4	36	19
5	36	19

end44.0ms (2.4%)

Remove: (sort y z)
Compiler: Compiled 82 to 42 computations (48.8% saved)

Iter	Nodes	Cost
0	6	7
1	12	7
2	22	7
3	39	7
4	53	7
5	83	7
6	115	7
7	142	7
8	178	7
9	186	7
10	206	7
11	212	7
12	189	7

Iter	Nodes	Cost
0	6	7
1	12	7
2	22	7
3	39	7
4	53	7
5	83	7
6	115	7
7	142	7
8	178	7
9	186	7
10	206	7
11	212	7
12	189	7

Details

analyze364.0ms (20%)

sample834.0ms (45.9%)

simplify13.0ms (0.7%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series5.0ms (0.3%)

rewrite3.0ms (0.2%)

simplify249.0ms (13.7%)

prune18.0ms (1%)

localize10.0ms (0.5%)

series13.0ms (0.7%)

rewrite1.0ms (0.1%)

simplify66.0ms (3.6%)

prune26.0ms (1.4%)

regimes163.0ms (8.9%)

simplify4.0ms (0.2%)

end44.0ms (2.4%)

Profiling

Iter	Nodes	Cost
0	6	7
1	12	7
2	22	7
3	39	7
4	53	7
5	83	7
6	115	7
7	142	7
8	178	7
9	186	7
10	206	7
11	212	7
12	189	7