Details

analyze757.0ms (21.3%)

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 (50.2%)

Results

676.0ms	6025×	body	128	valid
268.0ms	839×	body	1024	valid
186.0ms	480×	body	2048	valid
147.0ms	1380×	body	128	invalid
141.0ms	563×	body	512	valid
85.0ms	240×	body	1024	invalid
80.0ms	314×	body	512	invalid
67.0ms	349×	body	256	valid
44.0ms	220×	body	256	invalid

Compiler

Compiled 56 to 29 computations (48.2% saved)

simplify253.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

7175×	`fma-neg_binary64`
753×	`unsub-neg_binary64`
515×	`distribute-lft-out_binary64`
498×	`distribute-lft-out--_binary64`
472×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	27	10
2	80	7
3	206	7
4	565	7
5	1825	7
6	2161	7
7	2289	7
8	2491	7
9	2604	7
10	2649	7
11	3904	7
12	3380	7
13	3584	7
14	3584	7
15	3996	7
16	4202	7
17	4202	7
18	4202	7
19	4304	7
20	4304	7
21	11032	7

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 y (-.f64 x z))
	18.3b	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Compiler

Compiled 75 to 39 computations (48% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

6.0ms

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

rewrite9.0ms (0.2%)

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:

5.0ms

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

simplify91.0ms (2.6%)

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

prune33.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	65	4	69

Error

Counts

69 → 4

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (.f64 y x) (.f64 y z))
✓	0.0b	(*.f64 y (-.f64 x z))
	27.9b	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))
	32.5b	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 x z)))

Compiler

Compiled 1087 to 310 computations (71.5% saved)

localize6.0ms (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:

2.0ms

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

simplify79.0ms (2.2%)

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

prune14.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	35	4	39

Error

Counts

39 → 4

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 y x) (.f64 y z))
✓	0.0b	(*.f64 y (-.f64 x z))
▶	27.9b	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))
	32.5b	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 x z)))

Compiler

Compiled 469 to 145 computations (69.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	2.3b	(-.f64 (.f64 x x) (.f64 z z))
✓	8.8b	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
✓	17.6b	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))

series54.0ms (1.5%)

Counts

3 → 96

Calls

3 calls:

29.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))
20.0ms	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
6.0ms	(-.f64 (.f64 x x) (.f64 z z))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`

Counts

3 → 75

Calls

3 calls:

7.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))
5.0ms	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
3.0ms	(-.f64 (.f64 x x) (.f64 z z))

simplify92.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

755×	`times-frac_binary64`
387×	`distribute-rgt-in_binary64`
370×	`distribute-lft-in_binary64`
297×	`fma-def_binary64`
204×	`exp-prod_binary64`

Counts

171 → 117

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	2767
1	335	2532
2	1300	1968
3	4602	1966
4	4962	1966

prune41.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	117	4	121

Error

Counts

121 → 4

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 y x) (.f64 y z))
✓	0.0b	(*.f64 y (-.f64 x z))
✓	27.9b	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))
▶	32.5b	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 x z)))

Compiler

Compiled 2219 to 476 computations (78.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series25.0ms (0.7%)

Counts

2 → 56

Calls

2 calls:

16.0ms	(*.f64 (sqrt.f64 y) (-.f64 x z))
9.0ms	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 x z)))

rewrite29.0ms (0.8%)

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:

8.0ms	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 x z)))
6.0ms	(*.f64 (sqrt.f64 y) (-.f64 x z))

simplify86.0ms (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`
331×	`*-commutative_binary64`

Counts

187 → 158

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	2353
1	286	2176
2	949	2014
3	2734	1744
4	4899	1744

prune52.0ms (1.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	158	4	162

Error

Counts

162 → 4

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 y x) (.f64 y z))
✓	0.0b	(*.f64 y (-.f64 x z))
✓	27.9b	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))
✓	32.5b	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 x z)))

Compiler

Compiled 3491 to 736 computations (78.9% saved)

regimes46.0ms (1.3%)

Accuracy

Total 0.0b remaining (76.1%)

Threshold costs 0.0b (76.1%)

Counts

12 → 1

Compiler

Compiled 664 to 372 computations (44% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`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	14	10
2	24	10
3	30	10
4	34	10
5	35	10
6	35	10

end45.0ms (1.3%)

Compiler: Compiled 66 to 39 computations (40.9% saved)

Details

analyze757.0ms (21.3%)

sample1.8s (50.2%)

simplify253.0ms (7.1%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

series6.0ms (0.2%)

rewrite9.0ms (0.2%)

simplify91.0ms (2.6%)

prune33.0ms (0.9%)

localize6.0ms (0.2%)

series7.0ms (0.2%)

rewrite3.0ms (0.1%)

simplify79.0ms (2.2%)

prune14.0ms (0.4%)

localize7.0ms (0.2%)

series54.0ms (1.5%)

rewrite18.0ms (0.5%)

simplify92.0ms (2.6%)

prune41.0ms (1.1%)

localize5.0ms (0.1%)

series25.0ms (0.7%)

rewrite29.0ms (0.8%)

simplify86.0ms (2.4%)

prune52.0ms (1.5%)

regimes46.0ms (1.3%)

simplify2.0ms (0.1%)

end45.0ms (1.3%)

Profiling