Details

analyze258.0ms (11.3%)

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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify53.0ms (2.3%)

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 (0.1%)

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

9.0ms

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

rewrite11.0ms (0.5%)

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:

7.0ms

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

simplify106.0ms (4.6%)

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

prune48.0ms (2.1%)

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)))
	20.9b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))
▶	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))

Compiler

Compiled 1319 to 665 computations (49.6% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series11.0ms (0.5%)

Counts

2 → 24

Calls

2 calls:

9.0ms	(/.f64 x (-.f64 1 y))
2.0ms	(/.f64 y (-.f64 1 y))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64`
48×	`add-sqr-sqrt_binary64`
36×	`times-frac_binary64`
24×	`add-cube-cbrt_binary64`
16×	`difference-of-squares_binary64`

Counts

2 → 86

Calls

2 calls:

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

simplify88.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

559×	`fma-neg_binary64`
475×	`associate-/l/_binary64`
473×	`associate-/r*_binary64`
276×	`associate-/r/_binary64`
218×	`distribute-rgt-in_binary64`

Counts

110 → 122

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	159	1587
1	342	1503
2	899	1494
3	2106	1478
4	4585	1476
5	4920	1476

prune75.0ms (3.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	122	3	125

Error

Counts

125 → 3

Alt Table

Status	Error	Program
▶	0.1b	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))
	20.9b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))

Compiler

Compiled 2222 to 1403 computations (36.9% saved)

localize5.0ms (0.2%)

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)))

series22.0ms (1%)

Counts

2 → 48

Calls

2 calls:

14.0ms	(/.f64 (-.f64 1 y) (-.f64 x y))
8.0ms	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))

rewrite46.0ms (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:

12.0ms	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))
7.0ms	(/.f64 (-.f64 1 y) (-.f64 x y))

simplify254.0ms (11.1%)

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

prune141.0ms (6.2%)

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)))
▶	20.9b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))

Compiler

Compiled 5958 to 3306 computations (44.5% saved)

localize12.0ms (0.5%)

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)
✓	20.1b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))

series43.0ms (1.9%)

Counts

2 → 48

Calls

2 calls:

26.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)
17.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))

rewrite73.0ms (3.2%)

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:

12.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)
10.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))

simplify169.0ms (7.4%)

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

prune142.0ms (6.2%)

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)))
✓	20.9b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))

Compiler

Compiled 5474 to 3273 computations (40.2% saved)

regimes187.0ms (8.2%)

Accuracy

Total 0.0b remaining (44.6%)

Threshold costs 0.0b (44.6%)

Counts

45 → 1

Compiler

Compiled 1571 to 1100 computations (30% saved)

simplify3.0ms (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

end0.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

sample493.0ms (21.5%)

Algorithm

1×

intervals

Results

230.0ms	7997×	body	128	valid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 61 to 44 computations (27.9% saved)

Details

analyze258.0ms (11.3%)

sample15.0ms (0.6%)

simplify53.0ms (2.3%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

series9.0ms (0.4%)

rewrite11.0ms (0.5%)

simplify106.0ms (4.6%)

prune48.0ms (2.1%)

localize7.0ms (0.3%)

series11.0ms (0.5%)

rewrite12.0ms (0.5%)

simplify88.0ms (3.8%)

prune75.0ms (3.3%)

localize5.0ms (0.2%)

series22.0ms (1%)

rewrite46.0ms (2%)

simplify254.0ms (11.1%)

prune141.0ms (6.2%)

localize12.0ms (0.5%)

series43.0ms (1.9%)

rewrite73.0ms (3.2%)

simplify169.0ms (7.4%)

prune142.0ms (6.2%)

regimes187.0ms (8.2%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample493.0ms (21.5%)

Profiling