Details

analyze840.0ms (22.8%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

Compiler

Compiled 19 to 10 computations (47.4% saved)

sample1.8s (49%)

Results

670.0ms	5988×	body	128	valid
292.0ms	856×	body	1024	valid
212.0ms	514×	body	2048	valid
182.0ms	1628×	body	128	invalid
157.0ms	579×	body	512	valid
62.0ms	205×	body	512	invalid
62.0ms	319×	body	256	valid
47.0ms	149×	body	1024	invalid
25.0ms	144×	body	256	invalid

Compiler

Compiled 56 to 29 computations (48.2% saved)

simplify146.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1476×	`distribute-rgt-out--_binary64`
585×	`unsub-neg_binary64`
406×	`sub-neg_binary64`
378×	`distribute-rgt-neg-in_binary64`
342×	`fma-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	29	11
2	84	10
3	214	7
4	590	7
5	1832	7
6	2361	7
7	2773	7
8	3029	7
9	3327	7
10	3482	7
11	3500	7
12	3500	7
13	3500	7
14	5390	7

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 y (-.f64 x z))

Compiler

Compiled 39 to 21 computations (46.2% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 x z))

series7.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

6.0ms

(*.f64 y (-.f64 x z))

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`prod-diff_binary64`
17×	`add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64`

Counts

1 → 50

Calls

1 calls:

6.0ms

(*.f64 y (-.f64 x z))

simplify91.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-def_binary64`
422×	`unsub-neg_binary64`
281×	`unswap-sqr_binary64`
277×	`*-commutative_binary64`
231×	`neg-mul-1_binary64`

Counts

86 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	869
1	190	803
2	577	749
3	1458	695
4	3029	695
5	4852	695
6	5000	695
7	4766	695

prune31.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	3	68

Error

0.0b

Counts

68 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 y (-.f64 x z))
▶	0.0b	(-.f64 (.f64 y x) (.f64 y z))
	32.7b	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 x z)))

Compiler

Compiled 1055 to 292 computations (72.3% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.2%)

Counts

1 → 18

Calls

1 calls:

7.0ms

(-.f64 (*.f64 y x) (*.f64 y z))

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`distribute-lft-out--_binary64`
1×	`cancel-sign-sub-inv_binary64`
1×	`flip--_binary64`
1×	`sub-neg_binary64`

Counts

1 → 17

Calls

1 calls:

3.0ms

(-.f64 (*.f64 y x) (*.f64 y z))

simplify79.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

791×	`unsub-neg_binary64`
633×	`fma-def_binary64`
541×	`distribute-rgt-in_binary64`
482×	`distribute-lft-in_binary64`
320×	`times-frac_binary64`

Counts

35 → 35

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	332
1	121	314
2	415	307
3	1268	304
4	3520	304
5	4176	304
6	4949	304
7	4865	304

prune15.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	34	4	38

Error

Counts

38 → 4

Alt Table

Status	Error	Program
	44.8b	(/.f64 (.f64 (-.f64 x z) (.f64 (.f64 y y) (+.f64 x z))) (.f64 y (+.f64 x z)))
▶	32.7b	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 x z)))
✓	0.0b	(*.f64 y (-.f64 x z))
✓	0.0b	(-.f64 (.f64 y x) (.f64 y z))

Compiler

Compiled 477 to 147 computations (69.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sqrt.f64 y) (-.f64 x z))
✓	0.2b	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 x z)))

series29.0ms (0.8%)

Counts

2 → 56

Calls

2 calls:

18.0ms	(*.f64 (sqrt.f64 y) (-.f64 x z))
11.0ms	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 x z)))

rewrite38.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`distribute-lft-in_binary64`
65×	`distribute-rgt-in_binary64`
55×	`add-sqr-sqrt_binary64`
54×	`prod-diff_binary64`
51×	`*-un-lft-identity_binary64`

Counts

2 → 131

Calls

2 calls:

15.0ms	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 x z)))
7.0ms	(*.f64 (sqrt.f64 y) (-.f64 x z))

simplify89.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

390×	`distribute-lft-neg-out_binary64`
384×	`distribute-rgt-in_binary64`
380×	`distribute-rgt-neg-out_binary64`
365×	`distribute-lft-in_binary64`
334×	`*-commutative_binary64`

Counts

187 → 168

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	2245
1	286	2068
2	949	1906
3	2734	1744
4	4899	1744

prune51.0ms (1.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	168	4	172

Error

Counts

172 → 4

Alt Table

Status	Error	Program
▶	44.8b	(/.f64 (.f64 (-.f64 x z) (.f64 (.f64 y y) (+.f64 x z))) (.f64 y (+.f64 x z)))
✓	32.7b	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 x z)))
✓	0.0b	(*.f64 y (-.f64 x z))
✓	0.0b	(-.f64 (.f64 y x) (.f64 y z))

Compiler

Compiled 3636 to 775 computations (78.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (+.f64 x z))
✓	3.8b	(.f64 (-.f64 x z) (.f64 (*.f64 y y) (+.f64 x z)))
✓	9.7b	(.f64 (.f64 y y) (+.f64 x z))
✓	29.6b	(/.f64 (.f64 (-.f64 x z) (.f64 (.f64 y y) (+.f64 x z))) (.f64 y (+.f64 x z)))

series54.0ms (1.5%)

Counts

4 → 144

Calls

4 calls:

25.0ms	(.f64 (-.f64 x z) (.f64 (*.f64 y y) (+.f64 x z)))
13.0ms	(.f64 (.f64 y y) (+.f64 x z))
10.0ms	(/.f64 (.f64 (-.f64 x z) (.f64 (.f64 y y) (+.f64 x z))) (.f64 y (+.f64 x z)))
6.0ms	(*.f64 y (+.f64 x z))

rewrite45.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`add-cbrt-cube_binary64`
52×	`add-exp-log_binary64`
26×	`cbrt-unprod_binary64`
26×	`prod-exp_binary64`
22×	`associate-*r/_binary64`

Counts

4 → 129

Calls

4 calls:

13.0ms	(/.f64 (.f64 (-.f64 x z) (.f64 (.f64 y y) (+.f64 x z))) (.f64 y (+.f64 x z)))
9.0ms	(.f64 (-.f64 x z) (.f64 (*.f64 y y) (+.f64 x z)))
6.0ms	(.f64 (.f64 y y) (+.f64 x z))
4.0ms	(*.f64 y (+.f64 x z))

simplify128.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

932×	`fma-def_binary64`
386×	`times-frac_binary64`
340×	`associate-l_binary64`
307×	`associate-r_binary64`
227×	`distribute-rgt-in_binary64`

Counts

273 → 215

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	195	4504
1	573	3445
2	3167	3332
3	4656	3314
4	5003	3314

prune68.0ms (1.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	215	4	219

Error

Counts

219 → 4

Alt Table

Status	Error	Program
✓	44.8b	(/.f64 (.f64 (-.f64 x z) (.f64 (.f64 y y) (+.f64 x z))) (.f64 y (+.f64 x z)))
✓	32.7b	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 x z)))
✓	0.0b	(*.f64 y (-.f64 x z))
✓	0.0b	(-.f64 (.f64 y x) (.f64 y z))

Compiler

Compiled 5363 to 945 computations (82.4% saved)

regimes56.0ms (1.5%)

Accuracy

Total 0.0b remaining (58.8%)

Threshold costs 0.0b (58.8%)

Counts

13 → 1

Compiler

Compiled 652 to 364 computations (44.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	24	10
3	29	10
4	31	10
5	31	10

end54.0ms (1.5%)

Compiler: Compiled 70 to 40 computations (42.9% saved)

Details

analyze840.0ms (22.8%)

sample1.8s (49%)

simplify146.0ms (4%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series7.0ms (0.2%)

rewrite10.0ms (0.3%)

simplify91.0ms (2.5%)

prune31.0ms (0.8%)

localize7.0ms (0.2%)

series7.0ms (0.2%)

rewrite3.0ms (0.1%)

simplify79.0ms (2.1%)

prune15.0ms (0.4%)

localize8.0ms (0.2%)

series29.0ms (0.8%)

rewrite38.0ms (1%)

simplify89.0ms (2.4%)

prune51.0ms (1.4%)

localize9.0ms (0.2%)

series54.0ms (1.5%)

rewrite45.0ms (1.2%)

simplify128.0ms (3.5%)

prune68.0ms (1.8%)

regimes56.0ms (1.5%)

simplify3.0ms (0.1%)

end54.0ms (1.5%)

Profiling