Details

analyze881.0ms (31.6%)

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)

sample52.0ms (1.9%)

Algorithm

1×

intervals

Results

16.0ms	182×	body	128	valid
15.0ms	29×	body	1024	valid
4.0ms	22×	body	2048	valid
2.0ms	16×	body	512	valid
2.0ms	39×	body	128	invalid
1.0ms	6×	body	1024	invalid
1.0ms	7×	body	256	valid
0.0ms	3×	body	512	invalid
0.0ms	3×	body	256	invalid

Compiler

Compiled 40 to 22 computations (45% saved)

simplify154.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

1476×	`distribute-rgt-out--_binary64`
597×	`unsub-neg_binary64`
421×	`sub-neg_binary64`
378×	`distribute-rgt-neg-in_binary64`
312×	`distribute-neg-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	28	13
2	75	10
3	178	7
4	485	7
5	1475	7
6	2009	7
7	2421	7
8	2677	7
9	2975	7
10	3130	7
11	3148	7
12	3148	7
13	3148	7
14	5044	7

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 y (-.f64 x z))
	13.5b	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))

Compiler

Compiled 60 to 33 computations (45% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 y (-.f64 x z))

rewrite27.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`associate-r_binary64`
5×	`add-cube-cbrt_binary64`

Counts

1 → 30

Calls

1 calls:

5.0ms

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

Compiler

Compiled 320 to 104 computations (67.5% saved)

series25.0ms (0.9%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

22.0ms

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

Compiler

Compiled 233 to 142 computations (39.1% saved)

simplify66.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

620×	`distribute-neg-out_binary64`
402×	`neg-sub0_binary64`
390×	`associate-l_binary64`
385×	`neg-mul-1_binary64`
336×	`associate-r_binary64`

Counts

45 → 34

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	416
1	160	386
2	455	386
3	1596	386
4	2974	386
5	5670	386

prune10.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	33	3	36

Error

Counts

36 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 y (-.f64 x z))
	31.1b	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))
▶	0.0b	(+.f64 (.f64 x y) (neg.f64 (.f64 z y)))

Compiler

Compiled 185 to 72 computations (61.1% saved)

localize12.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x y) (neg.f64 (.f64 z y)))

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`add-log-exp_binary64`
2×	`sum-log_binary64`
1×	`+-commutative_binary64`
1×	`associate-+r-_binary64`
1×	`neg-sub0_binary64`

Counts

1 → 15

Calls

1 calls:

3.0ms

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

Compiler

Compiled 236 to 54 computations (77.1% saved)

series23.0ms (0.8%)

Error

Counts

1 → 15

Calls

1 calls:

21.0ms

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

Compiler

Compiled 244 to 150 computations (38.5% saved)

simplify93.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

594×	`associate-r_binary64`
429×	`neg-sub0_binary64`
416×	`neg-mul-1_binary64`
389×	`distribute-rgt-neg-out_binary64`
361×	`distribute-rgt-out_binary64`

Counts

30 → 23

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	292
1	140	266
2	577	258
3	1833	255
4	3813	255
5	5042	255

prune7.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	23	3	26

Error

Counts

26 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 y (-.f64 x z))
▶	31.1b	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))
✓	0.0b	(+.f64 (.f64 x y) (neg.f64 (.f64 z y)))

Compiler

Compiled 161 to 67 computations (58.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (-.f64 x z) (sqrt.f64 y))
0.2b	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))

rewrite30.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64`
11×	`associate-l_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`

Counts

2 → 49

Calls

2 calls:

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

Compiler

Compiled 679 to 151 computations (77.8% saved)

series46.0ms (1.7%)

Error

Counts

2 → 30

Calls

2 calls:

24.0ms	(*.f64 (-.f64 x z) (sqrt.f64 y))
20.0ms	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))

Compiler

Compiled 671 to 403 computations (39.9% saved)

simplify96.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

555×	`unsub-neg_binary64`
425×	`neg-mul-1_binary64`
420×	`neg-sub0_binary64`
267×	`distribute-rgt-in_binary64`
264×	`distribute-lft-in_binary64`

Counts

79 → 60

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	94	935
1	218	768
2	658	768
3	1680	768
4	3167	768
5	4929	768
6	4963	768

prune16.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	60	3	63

Error

Counts

63 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 y (-.f64 x z))
✓	31.1b	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))
✓	0.0b	(+.f64 (.f64 x y) (neg.f64 (.f64 z y)))

Compiler

Compiled 375 to 120 computations (68% saved)

regimes99.0ms (3.6%)

Accuracy

Total 0.0b remaining (74.5%)

Threshold costs 0.0b (74.5%)

Compiler

Compiled 1348 to 752 computations (44.2% saved)

simplify4.0ms (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

end0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

sample1.1s (40.1%)

Algorithm

1×

intervals

Results

268.0ms	5782×	body	128	valid
129.0ms	833×	body	1024	valid
111.0ms	530×	body	2048	valid
73.0ms	561×	body	512	valid
68.0ms	1566×	body	128	invalid
27.0ms	294×	body	256	valid
25.0ms	145×	body	1024	invalid
23.0ms	196×	body	512	invalid
9.0ms	105×	body	256	invalid

Compiler

Compiled 63 to 38 computations (39.7% saved)

Details

analyze881.0ms (31.6%)

sample52.0ms (1.9%)

simplify154.0ms (5.5%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite27.0ms (1%)

series25.0ms (0.9%)

simplify66.0ms (2.4%)

prune10.0ms (0.4%)

localize12.0ms (0.4%)

rewrite12.0ms (0.4%)

series23.0ms (0.8%)

simplify93.0ms (3.3%)

prune7.0ms (0.2%)

localize6.0ms (0.2%)

rewrite30.0ms (1.1%)

series46.0ms (1.7%)

simplify96.0ms (3.5%)

prune16.0ms (0.6%)

regimes99.0ms (3.6%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (40.1%)

Profiling