Details

analyze863.0ms (31.1%)

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
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
23.4%	76.5%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
48.2%	43.9%	7.9%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
63.1%	22.8%	14.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample36.0ms (1.3%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
2.0ms	25×	body	128	invalid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify54.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

354×	`fma-def_binary64`
250×	`fma-neg_binary64`
52×	`cancel-sign-sub-inv_binary64`
45×	`distribute-rgt-in_binary64`
43×	`associate--r+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	49	11
4	107	9
5	172	8
6	255	8
7	420	8
8	552	8
9	624	8
10	654	8
11	664	8
12	621	8

prune6.0ms (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 y (-.f64 x z) z)
	0.0b	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))

Compiler

Compiled 60 to 36 computations (40% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series18.0ms (0.7%)

Counts

1 → 36

Calls

1 calls:

18.0ms

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

rewrite1.0ms (0.1%)

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:

1.0ms

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

simplify111.0ms (4%)

Algorithm

1×	egg-herbie

Rules

761×	`neg-sub0_binary64`
711×	`neg-mul-1_binary64`
620×	`distribute-neg-out_binary64`
617×	`distribute-rgt-neg-out_binary64`
417×	`unsub-neg_binary64`

Counts

46 → 22

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	472
1	66	374
2	142	374
3	355	374
4	1792	374
5	3571	374
6	5347	374

prune22.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

Counts

24 → 2

Alt Table

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

Compiler

Compiled 217 to 71 computations (67.3% saved)

localize12.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series22.0ms (0.8%)

Counts

2 → 60

Calls

2 calls:

14.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
8.0ms	(*.f64 z (-.f64 1 y))

rewrite41.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64`
36×	`prod-diff_binary64`
35×	`*-un-lft-identity_binary64`
32×	`add-cube-cbrt_binary64`
26×	`associate-+r+_binary64`

Counts

2 → 91

Calls

2 calls:

14.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
12.0ms	(*.f64 z (-.f64 1 y))

simplify168.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

733×	`fma-neg_binary64`
558×	`fma-def_binary64`
354×	`cancel-sign-sub-inv_binary64`
303×	`distribute-rgt-in_binary64`
292×	`*-commutative_binary64`

Counts

151 → 140

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	1578
1	274	1462
2	977	1400
3	2835	1344
4	4341	1344
5	4857	1344

prune143.0ms (5.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	140	2	142

Error

Counts

142 → 2

Alt Table

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

Compiler

Compiled 2718 to 1056 computations (61.1% saved)

regimes98.0ms (3.5%)

Accuracy

Total 0.0b remaining (82.2%)

Threshold costs 0.0b (82.2%)

Counts

12 → 1

Compiler

Compiled 452 to 294 computations (35% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	8	8
2	13	8
3	15	8
4	16	8
5	16	8

end1.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

sample1.2s (41.8%)

Algorithm

1×

intervals

Results

563.0ms	8000×	body	128	valid
48.0ms	719×	body	128	invalid

Compiler

Compiled 46 to 30 computations (34.8% saved)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	49	11
4	107	9
5	172	8
6	255	8
7	420	8
8	552	8
9	624	8
10	654	8
11	664	8
12	621	8

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	49	11
4	107	9
5	172	8
6	255	8
7	420	8
8	552	8
9	624	8
10	654	8
11	664	8
12	621	8

Details

analyze863.0ms (31.1%)

sample36.0ms (1.3%)

simplify54.0ms (1.9%)

prune6.0ms (0.2%)

localize9.0ms (0.3%)

series18.0ms (0.7%)

rewrite1.0ms (0.1%)

simplify111.0ms (4%)

prune22.0ms (0.8%)

localize12.0ms (0.4%)

series22.0ms (0.8%)

rewrite41.0ms (1.5%)

simplify168.0ms (6.1%)

prune143.0ms (5.2%)

regimes98.0ms (3.5%)

simplify4.0ms (0.2%)

end1.0ms (0%)

sample1.2s (41.8%)

Profiling

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	49	11
4	107	9
5	172	8
6	255	8
7	420	8
8	552	8
9	624	8
10	654	8
11	664	8
12	621	8