Details

analyze515.0ms (24.7%)

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample21.0ms (1%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	17×	body	128	invalid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify29.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

299×	`fma-neg_binary64`
252×	`fma-def_binary64`
95×	`cancel-sign-sub-inv_binary64`
42×	`distribute-rgt-neg-in_binary64`
41×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	18	11
2	28	11
3	37	10
4	53	10
5	77	10
6	115	10
7	176	10
8	349	10
9	516	10
10	594	10
11	665	10
12	670	10
13	627	10

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

Counts

3 → 2

Alt Table

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

Compiler

Compiled 63 to 39 computations (38.1% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

7.0ms

(fma.f64 x (+.f64 y z) (neg.f64 z))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 x (+.f64 y z) (neg.f64 z))

simplify69.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

639×	`distribute-rgt-in_binary64`
639×	`neg-mul-1_binary64`
617×	`distribute-lft-in_binary64`
453×	`unsub-neg_binary64`
338×	`distribute-rgt-neg-out_binary64`

Counts

46 → 28

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	471
1	55	450
2	130	450
3	459	450
4	2525	450
5	4192	450
6	5071	450

prune16.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	28	2	30

Error

Counts

30 → 2

Alt Table

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

Compiler

Compiled 314 to 86 computations (72.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
✓	0.0b	(*.f64 (-.f64 x 1) z)

series13.0ms (0.6%)

Counts

2 → 48

Calls

2 calls:

8.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
5.0ms	(*.f64 (-.f64 x 1) z)

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
7×	`associate-l_binary64`
7×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 40

Calls

2 calls:

5.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
5.0ms	(*.f64 (-.f64 x 1) z)

simplify88.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

654×	`associate-+l+_binary64`
332×	`associate-l_binary64`
269×	`fma-def_binary64`
262×	`distribute-rgt-in_binary64`
249×	`fma-neg_binary64`

Counts

88 → 76

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	898
1	212	859
2	647	859
3	2167	856
4	4970	856

prune68.0ms (3.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	76	2	78

Error

Counts

78 → 2

Alt Table

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

Compiler

Compiled 1114 to 505 computations (54.7% saved)

regimes107.0ms (5.1%)

Accuracy

Total 0.0b remaining (69.8%)

Threshold costs 0.0b (69.8%)

Counts

13 → 1

Compiler

Compiled 476 to 318 computations (33.2% saved)

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	14	10
3	15	10
4	15	10

end1.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

sample1.1s (53.3%)

Algorithm

1×

intervals

Results

489.0ms	8000×	body	128	valid
38.0ms	692×	body	128	invalid

Compiler

Compiled 48 to 32 computations (33.3% saved)

Iter	Nodes	Cost
0	9	11
1	18	11
2	28	11
3	37	10
4	53	10
5	77	10
6	115	10
7	176	10
8	349	10
9	516	10
10	594	10
11	665	10
12	670	10
13	627	10

Iter	Nodes	Cost
0	9	11
1	18	11
2	28	11
3	37	10
4	53	10
5	77	10
6	115	10
7	176	10
8	349	10
9	516	10
10	594	10
11	665	10
12	670	10
13	627	10

Details

analyze515.0ms (24.7%)

sample21.0ms (1%)

simplify29.0ms (1.4%)

prune3.0ms (0.2%)

localize5.0ms (0.2%)

series7.0ms (0.3%)

rewrite1.0ms (0%)

simplify69.0ms (3.3%)

prune16.0ms (0.8%)

localize6.0ms (0.3%)

series13.0ms (0.6%)

rewrite13.0ms (0.6%)

simplify88.0ms (4.2%)

prune68.0ms (3.3%)

regimes107.0ms (5.1%)

simplify9.0ms (0.5%)

end1.0ms (0%)

sample1.1s (53.3%)

Profiling

Iter	Nodes	Cost
0	9	11
1	18	11
2	28	11
3	37	10
4	53	10
5	77	10
6	115	10
7	176	10
8	349	10
9	516	10
10	594	10
11	665	10
12	670	10
13	627	10