Details

analyze62.0ms (2.8%)

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)

sample876.0ms (40%)

Results

748.0ms	8253×	body	128	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify53.0ms (2.4%)

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)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series11.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

11.0ms

(/.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))

simplify104.0ms (4.7%)

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

prune45.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	5	79

Error

Counts

79 → 5

Alt Table

Status	Error	Program
	23.3b	(exp.f64 (log.f64 (/.f64 (-.f64 x y) (-.f64 1 y))))
	15.7b	(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))
▶	0.1b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
	0.1b	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 1352 to 689 computations (49% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series10.0ms (0.5%)

Counts

2 → 36

Calls

2 calls:

8.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
2.0ms	(/.f64 1 (-.f64 1 y))

rewrite23.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64`
48×	`*-un-lft-identity_binary64`
38×	`times-frac_binary64`
24×	`associate-r_binary64`
24×	`add-cube-cbrt_binary64`

Counts

2 → 102

Calls

2 calls:

12.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
5.0ms	(/.f64 1 (-.f64 1 y))

simplify78.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

587×	`fma-neg_binary64`
425×	`sub-neg_binary64`
310×	`fma-def_binary64`
264×	`distribute-rgt-in_binary64`
222×	`distribute-lft-in_binary64`

Counts

138 → 163

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	1950
1	375	1736
2	1191	1725
3	3714	1725
4	5202	1725

prune102.0ms (4.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	164	4	168

Error

Counts

168 → 4

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 (-.f64 x y) (expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 y)))))
	23.3b	(exp.f64 (log.f64 (/.f64 (-.f64 x y) (-.f64 1 y))))
	0.1b	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 2697 to 1655 computations (38.6% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 1 (-.f64 1 y)))
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 y))))
	0.0b	(/.f64 1 (-.f64 1 y))
✓	0.1b	(*.f64 (-.f64 x y) (expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 y)))))

series19.0ms (0.9%)

Counts

3 → 48

Calls

3 calls:

14.0ms	(*.f64 (-.f64 x y) (expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 y)))))
3.0ms	(log1p.f64 (/.f64 1 (-.f64 1 y)))
3.0ms	(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 y))))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

5.0ms	(*.f64 (-.f64 x y) (expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 y)))))
0.0ms	(log1p.f64 (/.f64 1 (-.f64 1 y)))
0.0ms	(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 y))))

simplify63.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

556×	`fma-neg_binary64`
446×	`sub-neg_binary64`
365×	`fma-def_binary64`
243×	`associate-+l+_binary64`
218×	`unsub-neg_binary64`

Counts

94 → 114

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1506
1	361	1344
2	1133	1250
3	3590	1250
4	4971	1250

prune104.0ms (4.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	177	4	181

Error

Counts

181 → 4

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 (-.f64 x y) (expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 y)))))
	23.3b	(exp.f64 (log.f64 (/.f64 (-.f64 x y) (-.f64 1 y))))
▶	0.1b	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 3014 to 1963 computations (34.9% 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)))

series23.0ms (1%)

Counts

2 → 48

Calls

2 calls:

15.0ms	(/.f64 (-.f64 1 y) (-.f64 x y))
8.0ms	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))

rewrite44.0ms (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:

10.0ms	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))
7.0ms	(/.f64 (-.f64 1 y) (-.f64 x y))

simplify251.0ms (11.4%)

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

prune143.0ms (6.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	283	1	284
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	285	3	288

Error

Counts

288 → 3

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 (-.f64 x y) (expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 y)))))
	32.6b	(/.f64 1 (+.f64 (/.f64 -1 y) 1))
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 5941 to 3295 computations (44.5% saved)

regimes86.0ms (3.9%)

Accuracy

Total 0.0b remaining (36.6%)

Threshold costs 0.0b (36.6%)

Counts

33 → 1

Compiler

Compiled 1188 to 815 computations (31.4% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`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	7	10
1	12	10
2	17	10
3	19	10
4	20	10
5	19	10

end46.0ms (2.1%)

Compiler: Compiled 49 to 36 computations (26.5% saved)

Details

analyze62.0ms (2.8%)

sample876.0ms (40%)

simplify53.0ms (2.4%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series11.0ms (0.5%)

rewrite11.0ms (0.5%)

simplify104.0ms (4.7%)

prune45.0ms (2%)

localize6.0ms (0.3%)

series10.0ms (0.5%)

rewrite23.0ms (1%)

simplify78.0ms (3.6%)

prune102.0ms (4.7%)

localize8.0ms (0.4%)

series19.0ms (0.9%)

rewrite7.0ms (0.3%)

simplify63.0ms (2.9%)

prune104.0ms (4.8%)

localize5.0ms (0.2%)

series23.0ms (1%)

rewrite44.0ms (2%)

simplify251.0ms (11.4%)

prune143.0ms (6.5%)

regimes86.0ms (3.9%)

simplify4.0ms (0.2%)

end46.0ms (2.1%)

Profiling