Details

analyze86.0ms (5.9%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample34.0ms (2.3%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify14.0ms (1%)

Algorithm

1×	egg-herbie

Rules

113×	`fma-def_binary64`
83×	`fma-neg_binary64`
32×	`distribute-rgt-in_binary64`
26×	`cancel-sign-sub-inv_binary64`
19×	`distribute-lft-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7

prune1.0ms (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 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 500 (-.f64 x y))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 500 (-.f64 x y))

series4.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

3.0ms

(*.f64 500 (-.f64 x y))

rewrite8.0ms (0.6%)

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 500 (-.f64 x y))

simplify65.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

515×	`associate-l_binary64`
436×	`neg-sub0_binary64`
421×	`associate-r_binary64`
419×	`neg-mul-1_binary64`
389×	`fma-neg_binary64`

Counts

74 → 58

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	757
1	184	697
2	493	589
3	2165	589
4	3889	589
5	4897	589

prune38.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	4	59

Error

Counts

59 → 4

Alt Table

Status	Error	Program
	41.5b	(/.f64 (.f64 500 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 x x) (+.f64 (.f64 y y) (.f64 x y))))
	36.8b	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))
▶	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))
✓	0.0b	(*.f64 500 (-.f64 x y))

Compiler

Compiled 1025 to 461 computations (55% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 500 x) (.f64 500 y))

series4.0ms (0.3%)

Counts

1 → 6

Calls

1 calls:

4.0ms

(-.f64 (*.f64 500 x) (*.f64 500 y))

rewrite3.0ms (0.2%)

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 500 x) (*.f64 500 y))

simplify56.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

531×	`fma-def_binary64`
509×	`fma-neg_binary64`
469×	`times-frac_binary64`
379×	`distribute-rgt-in_binary64`
323×	`distribute-lft-in_binary64`

Counts

23 → 31

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	235
1	112	203
2	367	200
3	1082	200
4	2658	199
5	4158	199
6	5138	199

prune19.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	32	3	35

Error

Counts

35 → 3

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 500 x (*.f64 -500 y))
✓	0.0b	(*.f64 500 (-.f64 x y))
	36.8b	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))

Compiler

Compiled 418 to 292 computations (30.1% saved)

localize90.0ms (6.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 500 x (*.f64 -500 y))

series4.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

4.0ms

(fma.f64 500 x (*.f64 -500 y))

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 500 x (*.f64 -500 y))

simplify62.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

967×	`fma-def_binary64`
490×	`neg-mul-1_binary64`
430×	`distribute-rgt-neg-out_binary64`
324×	`associate-l_binary64`
313×	`*-commutative_binary64`

Counts

34 → 21

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	262
1	30	247
2	75	247
3	287	247
4	1158	247
5	3238	247
6	4481	247
7	5009	247

prune10.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	21	3	24

Error

Counts

24 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 500 x (*.f64 -500 y))
✓	0.0b	(*.f64 500 (-.f64 x y))
▶	36.8b	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))

Compiler

Compiled 248 to 169 computations (31.9% saved)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 500 (-.f64 x y))
✓	0.0b	(sqrt.f64 (*.f64 500 (-.f64 x y)))
✓	0.2b	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))

series79.0ms (5.4%)

Counts

2 → 28

Calls

2 calls:

59.0ms	(sqrt.f64 (*.f64 500 (-.f64 x y)))
20.0ms	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))

rewrite30.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`pow1_binary64`
30×	`sqrt-pow1_binary64`
21×	`pow-prod-down_binary64`
16×	`associate-*r/_binary64`
14×	`sqrt-div_binary64`

Counts

2 → 74

Calls

2 calls:

15.0ms	(sqrt.f64 (*.f64 500 (-.f64 x y)))
10.0ms	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))

simplify143.0ms (9.8%)

Algorithm

1×	egg-herbie

Rules

622×	`associate-l_binary64`
585×	`fma-neg_binary64`
537×	`associate-r_binary64`
196×	`fma-def_binary64`
186×	`*-commutative_binary64`

Counts

102 → 102

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	132	1468
1	299	1300
2	899	1268
3	3953	1253
4	4852	1233
5	4958	1233

prune173.0ms (11.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	250	0	250
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	250	3	253

Error

Counts

253 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 500 x (*.f64 -500 y))
✓	0.0b	(*.f64 500 (-.f64 x y))
✓	36.8b	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))

Compiler

Compiled 5742 to 3092 computations (46.2% saved)

regimes111.0ms (7.6%)

Accuracy

Total 0.0b remaining (60.5%)

Threshold costs 0.0b (60.5%)

Counts

22 → 1

Compiler

Compiled 1282 to 972 computations (24.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
2	8	8

end0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

sample406.0ms (27.9%)

Algorithm

1×

intervals

Results

172.0ms	7972×	body	128	valid
1.0ms	76×	body	128	invalid
1.0ms	9×	body	2048	valid
0.0ms	9×	body	512	valid
0.0ms	7×	body	1024	valid
0.0ms	3×	body	256	valid

Compiler

Compiled 48 to 35 computations (27.1% saved)

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7

Details

analyze86.0ms (5.9%)

sample34.0ms (2.3%)

simplify14.0ms (1%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series4.0ms (0.2%)

rewrite8.0ms (0.6%)

simplify65.0ms (4.5%)

prune38.0ms (2.6%)

localize4.0ms (0.3%)

series4.0ms (0.3%)

rewrite3.0ms (0.2%)

simplify56.0ms (3.8%)

prune19.0ms (1.3%)

localize90.0ms (6.2%)

series4.0ms (0.3%)

rewrite1.0ms (0%)

simplify62.0ms (4.3%)

prune10.0ms (0.7%)

localize7.0ms (0.5%)

series79.0ms (5.4%)

rewrite30.0ms (2%)

simplify143.0ms (9.8%)

prune173.0ms (11.9%)

regimes111.0ms (7.6%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample406.0ms (27.9%)

Profiling

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	37	7
4	56	7
5	85	7
6	138	7
7	194	7
8	241	7
9	277	7
10	288	7
11	304	7
12	276	7