Details

analyze51.0ms (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
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)

sample927.0ms (50.6%)

Results

815.0ms

8256×

body

128

valid

Compiler

Compiled 32 to 20 computations (37.5% 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))

rewrite11.0ms (0.6%)

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:

8.0ms

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

simplify75.0ms (4.1%)

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

prune51.0ms (2.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	4	58

Error

Counts

58 → 4

Alt Table

Status	Error	Program
	35.8b	(fma.f64 (/.f64 n f) -2 -1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
	27.3b	(fma.f64 2 (/.f64 f n) 1)

Compiler

Compiled 918 to 317 computations (65.5% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

series67.0ms (3.7%)

Counts

2 → 48

Calls

2 calls:

51.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
16.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))

rewrite73.0ms (4%)

Algorithm

1×	rewrite-expression-head

Rules

116×	`*-un-lft-identity_binary64`
80×	`times-frac_binary64`
76×	`add-sqr-sqrt_binary64`
58×	`cbrt-prod_binary64`
52×	`cube-prod_binary64`

Counts

2 → 144

Calls

2 calls:

8.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
7.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

simplify120.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

413×	`fma-def_binary64`
329×	`unswap-sqr_binary64`
283×	`distribute-rgt-in_binary64`
228×	`log-prod_binary64`
219×	`distribute-lft-in_binary64`

Counts

192 → 144

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	4212
1	630	3868
2	2080	3747
3	4590	3741
4	4974	3741

prune143.0ms (7.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	201	4	205

Error

Counts

205 → 4

Alt Table

Status	Error	Program
	35.8b	(fma.f64 (/.f64 n f) -2 -1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
▶	27.3b	(fma.f64 2 (/.f64 f n) 1)

Compiler

Compiled 3775 to 1486 computations (60.6% saved)

localize4.0ms (0.2%)

prune4.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Error

Counts

4 → 4

Alt Table

Status	Error	Program
▶	35.8b	(fma.f64 (/.f64 n f) -2 -1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
✓	27.3b	(fma.f64 2 (/.f64 f n) 1)

Compiler

Compiled 45 to 31 computations (31.1% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (/.f64 n f) -2 -1)

series6.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

6.0ms

(fma.f64 (/.f64 n f) -2 -1)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 (/.f64 n f) -2 -1)

simplify51.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

891×	`fma-def_binary64`
579×	`unsub-neg_binary64`
501×	`div-sub_binary64`
441×	`associate-*l/_binary64`
371×	`associate-*r/_binary64`

Counts

34 → 22

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	367
1	40	278
2	83	278
3	291	278
4	1042	278
5	3601	278
6	4973	278

prune11.0ms (0.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	22	4	26

Error

Counts

26 → 4

Alt Table

Status	Error	Program
✓	35.8b	(fma.f64 (/.f64 n f) -2 -1)
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
✓	27.3b	(fma.f64 2 (/.f64 f n) 1)

Compiler

Compiled 257 to 170 computations (33.9% saved)

regimes46.0ms (2.5%)

Accuracy

Total 0.0b remaining (63.3%)

Threshold costs 0.0b (63.3%)

Counts

16 → 1

Compiler

Compiled 486 to 348 computations (28.4% 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

end88.0ms (4.8%)

Compiler: Compiled 55 to 35 computations (36.4% saved)

Details

analyze51.0ms (2.8%)

sample927.0ms (50.6%)

simplify74.0ms (4%)

prune3.0ms (0.1%)

localize5.0ms (0.3%)

series9.0ms (0.5%)

rewrite11.0ms (0.6%)

simplify75.0ms (4.1%)

prune51.0ms (2.8%)

localize7.0ms (0.4%)

series67.0ms (3.7%)

rewrite73.0ms (4%)

simplify120.0ms (6.6%)

prune143.0ms (7.8%)

localize4.0ms (0.2%)

prune4.0ms (0.2%)

localize4.0ms (0.2%)

series6.0ms (0.3%)

rewrite1.0ms (0%)

simplify51.0ms (2.8%)

prune11.0ms (0.6%)

regimes46.0ms (2.5%)

simplify2.0ms (0.1%)

end88.0ms (4.8%)

Profiling