Details

analyze42.0ms (2.4%)

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)

sample280.0ms (16%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify65.0ms (3.7%)

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

prune2.0ms (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)

localize4.0ms (0.2%)

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))

simplify119.0ms (6.8%)

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

prune44.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Error

Counts

58 → 3

Alt Table

Status	Error	Program
	33.1b	(fma.f64 (/.f64 n f) -2 -1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	30.0b	(+.f64 1 (.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))))

Compiler

Compiled 920 to 315 computations (65.8% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n))))
✓	0.1b	(*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n))
✓	0.1b	(pow.f64 (/.f64 f n) 3)
✓	10.3b	(+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))

series83.0ms (4.7%)

Counts

4 → 96

Calls

4 calls:

29.0ms	(.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n))))
23.0ms	(+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
15.0ms	(pow.f64 (/.f64 f n) 3)
15.0ms	(*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n))

rewrite58.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 168

Calls

4 calls:

16.0ms	(.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n))))
15.0ms	(+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))
10.0ms	(*.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n))
3.0ms	(pow.f64 (/.f64 f n) 3)

simplify126.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

406×	`fma-neg_binary64`
357×	`associate-r_binary64`
337×	`associate-l_binary64`
267×	`log-prod_binary64`
225×	`cancel-sign-sub-inv_binary64`

Counts

264 → 230

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	226	4496
1	688	3922
2	3075	3885
3	4530	3885
4	4940	3885

prune142.0ms (8.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	230	3	233

Error

Counts

233 → 3

Alt Table

Status	Error	Program
▶	33.1b	(fma.f64 (/.f64 n f) -2 -1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	30.0b	(+.f64 1 (.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))))

Compiler

Compiled 6647 to 3544 computations (46.7% 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
✓	33.1b	(fma.f64 (/.f64 n f) -2 -1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	30.0b	(+.f64 1 (.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (.f64 (+.f64 (/.f64 f n) 1) (/.f64 f n)))))

Compiler

Compiled 38 to 24 computations (36.8% saved)

regimes68.0ms (3.9%)

Accuracy

Total 0.0b remaining (66.2%)

Threshold costs 0.0b (66.2%)

Counts

23 → 1

Compiler

Compiled 941 to 590 computations (37.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-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	8	13
1	13	13
2	17	13
3	19	13
4	20	13
5	19	13

end0.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

sample679.0ms (38.9%)

Algorithm

1×

intervals

Results

442.0ms

8000×

body

128

valid

Compiler

Compiled 62 to 40 computations (35.5% saved)

Details

analyze42.0ms (2.4%)

sample280.0ms (16%)

simplify65.0ms (3.7%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series9.0ms (0.5%)

rewrite10.0ms (0.5%)

simplify119.0ms (6.8%)

prune44.0ms (2.5%)

localize9.0ms (0.5%)

series83.0ms (4.7%)

rewrite58.0ms (3.3%)

simplify126.0ms (7.2%)

prune142.0ms (8.1%)

localize4.0ms (0.2%)

prune2.0ms (0.1%)

regimes68.0ms (3.9%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample679.0ms (38.9%)

Profiling