Details

analyze761.0ms (21.4%)

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
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)

sample2.1s (58.1%)

Results

856.0ms	5965×	body	128	valid
290.0ms	531×	body	2048	valid
280.0ms	834×	body	1024	valid
160.0ms	1318×	body	128	invalid
148.0ms	586×	body	512	valid
76.0ms	306×	body	512	invalid
67.0ms	340×	body	256	valid
55.0ms	163×	body	1024	invalid
42.0ms	214×	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))
	18.7b	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Compiler

Compiled 75 to 39 computations (48% 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))

rewrite9.0ms (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))

simplify100.0ms (2.8%)

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

prune29.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	66	3	69

Error

Counts

69 → 3

Alt Table

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

Compiler

Compiled 1063 to 296 computations (72.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series8.0ms (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))

simplify104.0ms (2.9%)

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

prune21.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	36	2	38

Error

Counts

38 → 2

Alt Table

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

Compiler

Compiled 423 to 119 computations (71.9% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

7.0ms

(fma.f64 y x (neg.f64 (*.f64 y z)))

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

simplify81.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

600×	`times-frac_binary64`
566×	`associate-l_binary64`
429×	`associate-r_binary64`
401×	`distribute-rgt-in_binary64`
384×	`distribute-lft-in_binary64`

Counts

46 → 25

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	352
1	47	337
2	126	337
3	448	337
4	2005	337
5	4119	337
6	4418	337
7	5458	337

prune11.0ms (0.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	25	2	27

Error

Counts

27 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 y (-.f64 x z))
✓	0.0b	(fma.f64 y x (neg.f64 (*.f64 y z)))

Compiler

Compiled 261 to 68 computations (73.9% saved)

regimes40.0ms (1.1%)

Accuracy

Total 0.0b remaining (70.2%)

Threshold costs 0.0b (70.2%)

Counts

8 → 1

Compiler

Compiled 384 to 228 computations (40.6% 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

end36.0ms (1%)

Compiler: Compiled 38 to 23 computations (39.5% saved)

Details

analyze761.0ms (21.4%)

sample2.1s (58.1%)

simplify253.0ms (7.1%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series7.0ms (0.2%)

rewrite9.0ms (0.3%)

simplify100.0ms (2.8%)

prune29.0ms (0.8%)

localize5.0ms (0.1%)

series8.0ms (0.2%)

rewrite3.0ms (0.1%)

simplify104.0ms (2.9%)

prune21.0ms (0.6%)

localize5.0ms (0.1%)

series7.0ms (0.2%)

rewrite1.0ms (0%)

simplify81.0ms (2.3%)

prune11.0ms (0.3%)

regimes40.0ms (1.1%)

simplify3.0ms (0.1%)

end36.0ms (1%)

Profiling