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)

sample912.0ms (52.3%)

Results

795.0ms

8256×

body

128

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify72.0ms (4.1%)

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 (0.2%)

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))

series10.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

10.0ms

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

rewrite9.0ms (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))

simplify128.0ms (7.3%)

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

prune106.0ms (6.1%)

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
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	26.9b	(fma.f64 2 (/.f64 f n) 1)
	36.4b	(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)

Compiler

Compiled 918 to 313 computations (65.9% saved)

localize4.0ms (0.2%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	26.9b	(fma.f64 2 (/.f64 f n) 1)
▶	36.4b	(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)

Compiler

Compiled 57 to 35 computations (38.6% saved)

localize8.0ms (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)
✓	11.0b	(+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))

series76.0ms (4.4%)

Counts

3 → 72

Calls

3 calls:

44.0ms	(+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))
17.0ms	(pow.f64 (/.f64 n f) 3)
15.0ms	(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))

rewrite44.0ms (2.5%)

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:

19.0ms	(+.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))
5.0ms	(pow.f64 (/.f64 n f) 3)

simplify112.0ms (6.4%)

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

prune106.0ms (6.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	170	3	173

Error

Counts

173 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	26.9b	(fma.f64 2 (/.f64 f n) 1)
✓	36.4b	(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)

Compiler

Compiled 4566 to 2332 computations (48.9% saved)

regimes52.0ms (3%)

Accuracy

Total 0.0b remaining (63.6%)

Threshold costs 0.0b (63.6%)

Counts

18 → 1

Compiler

Compiled 716 to 473 computations (33.9% 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	6	10
1	9	10
2	14	10
3	16	10
4	17	10
5	17	10

end49.0ms (2.8%)

Compiler: Compiled 55 to 33 computations (40% saved)

Details

analyze42.0ms (2.4%)

sample912.0ms (52.3%)

simplify72.0ms (4.1%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

series10.0ms (0.6%)

rewrite9.0ms (0.5%)

simplify128.0ms (7.3%)

prune106.0ms (6.1%)

localize4.0ms (0.2%)

prune2.0ms (0.1%)

localize8.0ms (0.5%)

series76.0ms (4.4%)

rewrite44.0ms (2.5%)

simplify112.0ms (6.4%)

prune106.0ms (6.1%)

regimes52.0ms (3%)

simplify2.0ms (0.1%)

end49.0ms (2.8%)

Profiling