Details

analyze59.0ms (1.5%)

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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
74.9%	25%	0.1%	7
81.2%	18.7%	0.1%	8
87.4%	12.5%	0.1%	9
90.5%	9.4%	0.1%	10
93.7%	6.2%	0.1%	11
95.2%	4.7%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample830.0ms (20.4%)

Results

699.0ms	8254×	body	128	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify54.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

546×	`fma-neg_binary64`
369×	`fma-def_binary64`
317×	`div-sub_binary64`
278×	`times-frac_binary64`
113×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	22	10
3	37	10
4	64	10
5	107	10
6	192	10
7	359	10
8	642	10
9	877	10
10	1142	10
11	1146	10
12	1156	10
13	1156	10
14	1064	10

prune2.0ms (0%)

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 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

series8.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`*-un-lft-identity_binary64`
46×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
19×	`difference-of-squares_binary64`
14×	`add-cube-cbrt_binary64`

Counts

1 → 60

Calls

1 calls:

6.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

simplify101.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

779×	`times-frac_binary64`
532×	`fma-neg_binary64`
266×	`fma-def_binary64`
231×	`div-sub_binary64`
213×	`associate--l+_binary64`

Counts

84 → 78

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1541
1	341	1491
2	936	1482
3	2955	1482
4	4928	1482
5	5000	1482
6	4962	1482

prune46.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	3	79

Error

Counts

79 → 3

Alt Table

Status	Error	Program
	0.1b	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))
▶	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
	21.6b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))

Compiler

Compiled 1319 to 665 computations (49.6% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
✓	0.0b	(/.f64 y (-.f64 1 y))
✓	0.0b	(/.f64 x (-.f64 1 y))

series24.0ms (0.6%)

Counts

3 → 39

Calls

3 calls:

9.0ms	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
9.0ms	(/.f64 x (-.f64 1 y))
5.0ms	(/.f64 y (-.f64 1 y))

rewrite198.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Rules

1031×	`*-un-lft-identity_binary64`
1019×	`add-sqr-sqrt_binary64`
956×	`times-frac_binary64`
576×	`prod-diff_binary64`
527×	`add-cube-cbrt_binary64`

Counts

3 → 741

Calls

3 calls:

35.0ms	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
4.0ms	(/.f64 x (-.f64 1 y))
4.0ms	(/.f64 y (-.f64 1 y))

simplify894.0ms (22%)

Algorithm

1×	egg-herbie

Rules

569×	`fma-neg_binary64`
413×	`unsub-neg_binary64`
374×	`times-frac_binary64`
314×	`fma-udef_binary64`
291×	`sub-neg_binary64`

Counts

780 → 726

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	595	39480
1	1324	26667
2	3164	20215
3	4213	20167
4	4917	20167
5	4807	20167

prune728.0ms (17.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	726	0	726
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	726	3	729

Error

Counts

729 → 3

Alt Table

Status	Error	Program
▶	0.1b	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
	21.6b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))

Compiler

Compiled 34118 to 21216 computations (37.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 y) (-.f64 x y))
✓	0.1b	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))

series24.0ms (0.6%)

Counts

2 → 48

Calls

2 calls:

13.0ms	(/.f64 (-.f64 1 y) (-.f64 x y))
10.0ms	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))

rewrite47.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

258×	`times-frac_binary64`
240×	`*-un-lft-identity_binary64`
240×	`add-sqr-sqrt_binary64`
100×	`add-cube-cbrt_binary64`
83×	`difference-of-squares_binary64`

Counts

2 → 230

Calls

2 calls:

13.0ms	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))
7.0ms	(/.f64 (-.f64 1 y) (-.f64 x y))

simplify247.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

664×	`fma-def_binary64`
460×	`times-frac_binary64`
354×	`fma-neg_binary64`
283×	`sub-neg_binary64`
256×	`distribute-rgt-in_binary64`

Counts

278 → 284

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	255	6418
1	621	5932
2	2123	5708
3	4664	5702
4	4994	5702
5	5000	5702
6	4962	5702

prune157.0ms (3.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	284	0	284
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	284	3	287

Error

Counts

287 → 3

Alt Table

Status	Error	Program
✓	0.1b	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
▶	21.6b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))

Compiler

Compiled 5958 to 3306 computations (44.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
✓	0.1b	(pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)
✓	20.8b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))

series45.0ms (1.1%)

Counts

2 → 48

Calls

2 calls:

25.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)
20.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))

rewrite41.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

160×	`*-un-lft-identity_binary64`
160×	`add-sqr-sqrt_binary64`
120×	`times-frac_binary64`
78×	`cbrt-prod_binary64`
72×	`cube-prod_binary64`

Counts

2 → 184

Calls

2 calls:

11.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))
9.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)

simplify194.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

351×	`unswap-sqr_binary64`
282×	`fma-neg_binary64`
229×	`log-prod_binary64`
203×	`sub-neg_binary64`
178×	`sqr-pow_binary64`

Counts

232 → 183

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	5947
1	928	5611
2	3294	5557
3	4737	5557
4	5145	5557

prune149.0ms (3.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	261	0	261
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	261	3	264

Error

Counts

264 → 3

Alt Table

Status	Error	Program
✓	0.1b	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
✓	21.6b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))

Compiler

Compiled 5474 to 3273 computations (40.2% saved)

regimes130.0ms (3.2%)

Accuracy

Total 0.0b remaining (43.8%)

Threshold costs 0.0b (43.8%)

Counts

44 → 1

Compiler

Compiled 1467 to 1040 computations (29.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`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	8	16
1	14	16
2	22	16
3	26	16
4	28	16
5	27	16

end52.0ms (1.3%)

Compiler: Compiled 62 to 44 computations (29% saved)

Details

analyze59.0ms (1.5%)

sample830.0ms (20.4%)

simplify54.0ms (1.3%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series8.0ms (0.2%)

rewrite12.0ms (0.3%)

simplify101.0ms (2.5%)

prune46.0ms (1.1%)

localize5.0ms (0.1%)

series24.0ms (0.6%)

rewrite198.0ms (4.9%)

simplify894.0ms (22%)

prune728.0ms (17.9%)

localize6.0ms (0.1%)

series24.0ms (0.6%)

rewrite47.0ms (1.2%)

simplify247.0ms (6.1%)

prune157.0ms (3.9%)

localize7.0ms (0.2%)

series45.0ms (1.1%)

rewrite41.0ms (1%)

simplify194.0ms (4.8%)

prune149.0ms (3.7%)

regimes130.0ms (3.2%)

simplify2.0ms (0.1%)

end52.0ms (1.3%)

Profiling