Details

analyze37.0ms (2%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample156.0ms (8.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify74.0ms (4%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-def_binary64`
621×	`fma-neg_binary64`
457×	`times-frac_binary64`
316×	`div-sub_binary64`
141×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	12
2	38	12
3	71	12
4	152	12
5	207	12
6	597	10
7	937	10
8	1314	10
9	1337	10
10	1342	10
11	1369	10
12	1379	10
13	1379	10
14	1274	10

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 35 to 18 computations (48.6% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

series9.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

9.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`

Counts

1 → 47

Calls

1 calls:

6.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

simplify120.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

360×	`cancel-sign-sub-inv_binary64`
305×	`neg-mul-1_binary64`
284×	`div-sub_binary64`
252×	`fma-def_binary64`
243×	`fma-neg_binary64`

Counts

71 → 57

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1291
1	274	1214
2	795	1163
3	2594	1145
4	4436	1145
5	5107	1145

prune38.0ms (2.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	3	58

Error

Counts

58 → 3

Alt Table

Status	Error	Program
▶	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	31.5b	(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
	31.8b	(fma.f64 2 (/.f64 f n) 1)

Compiler

Compiled 931 to 322 computations (65.4% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.5b	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

series28.0ms (1.5%)

Counts

2 → 48

Calls

2 calls:

18.0ms	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
10.0ms	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

rewrite1.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`log1p-expm1-u_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 22

Calls

2 calls:

0.0ms	(expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0ms	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

simplify78.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

472×	`fma-neg_binary64`
450×	`cancel-sign-sub-inv_binary64`
423×	`times-frac_binary64`
309×	`associate-/l*_binary64`
256×	`fma-def_binary64`

Counts

70 → 60

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1424
1	262	1306
2	852	1222
3	3573	1207
4	4953	1207
5	4966	1207

prune59.0ms (3.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	117	3	120

Error

Counts

120 → 3

Alt Table

Status	Error	Program
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
▶	31.5b	(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
	31.8b	(fma.f64 2 (/.f64 f n) 1)

Compiler

Compiled 1947 to 806 computations (58.6% saved)

localize10.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
✓	0.2b	(pow.f64 (/.f64 n f) 3)
✓	7.8b	(+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))

series56.0ms (3.1%)

Counts

3 → 72

Calls

3 calls:

25.0ms	(+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))
17.0ms	(pow.f64 (/.f64 n f) 3)
14.0ms	(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))

rewrite41.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`times-frac_binary64`
46×	`add-sqr-sqrt_binary64`
43×	`*-un-lft-identity_binary64`
41×	`add-cube-cbrt_binary64`
32×	`fma-def_binary64`

Counts

3 → 138

Calls

3 calls:

17.0ms	(+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))
10.0ms	(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
3.0ms	(pow.f64 (/.f64 n f) 3)

simplify107.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

548×	`fma-neg_binary64`
280×	`log-prod_binary64`
273×	`associate-r_binary64`
258×	`associate-l_binary64`
225×	`cancel-sign-sub-inv_binary64`

Counts

210 → 170

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	2963
1	550	2639
2	2534	2606
3	4175	2578
4	5006	2578

prune116.0ms (6.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	170	3	173

Error

Counts

173 → 3

Alt Table

Status	Error	Program
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	31.5b	(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
▶	31.8b	(fma.f64 2 (/.f64 f n) 1)

Compiler

Compiled 4576 to 2340 computations (48.9% saved)

localize4.0ms (0.2%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	31.5b	(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)
✓	31.8b	(fma.f64 2 (/.f64 f n) 1)

Compiler

Compiled 39 to 25 computations (35.9% saved)

regimes285.0ms (15.5%)

Accuracy

Total 0.0b remaining (62%)

Threshold costs 0.0b (62%)

Counts

37 → 1

Compiler

Compiled 1327 to 883 computations (33.5% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`cancel-sign-sub-inv_binary64`
7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
6×	`distribute-neg-in_binary64`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	21	14
2	36	14
3	52	12
4	64	12
5	66	12
6	62	12

end0.0ms (0%)

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

sample580.0ms (31.6%)

Algorithm

1×

intervals

Results

280.0ms

8000×

body

128

valid

Compiler

Compiled 62 to 40 computations (35.5% saved)

Details

analyze37.0ms (2%)

sample156.0ms (8.5%)

simplify74.0ms (4%)

prune3.0ms (0.1%)

localize5.0ms (0.3%)

series9.0ms (0.5%)

rewrite10.0ms (0.5%)

simplify120.0ms (6.6%)

prune38.0ms (2.1%)

localize7.0ms (0.4%)

series28.0ms (1.5%)

rewrite1.0ms (0.1%)

simplify78.0ms (4.3%)

prune59.0ms (3.2%)

localize10.0ms (0.5%)

series56.0ms (3.1%)

rewrite41.0ms (2.3%)

simplify107.0ms (5.9%)

prune116.0ms (6.3%)

localize4.0ms (0.2%)

prune2.0ms (0.1%)

regimes285.0ms (15.5%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample580.0ms (31.6%)

Profiling