Details

analyze172.0ms (2.3%)

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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample861.0ms (11.5%)

Results

810.0ms	8256×	body	128	valid
16.0ms	194×	body	128	invalid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

39×	`fma-neg_binary64`
17×	`sub-neg_binary64`
17×	`fma-def_binary64`
16×	`cancel-sign-sub-inv_binary64`
9×	`associate-/l*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	18	11
3	27	11
4	43	11
5	77	11
6	89	11
7	112	11
8	136	11
9	159	11
10	167	11
11	161	11
12	144	11

prune1.0ms (0%)

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 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series15.0ms (0.2%)

Counts

1 → 0

Calls

1 calls:

14.0ms

(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

71×	`add-sqr-sqrt_binary64`
70×	`fabs-mul_binary64`
63×	`times-frac_binary64`
53×	`*-un-lft-identity_binary64`
37×	`add-cube-cbrt_binary64`

Counts

1 → 96

Calls

1 calls:

8.0ms

(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

simplify112.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

901×	`div-sub_binary64`
444×	`associate-/l/_binary64`
439×	`times-frac_binary64`
383×	`associate-/l*_binary64`
382×	`fma-def_binary64`

Counts

96 → 112

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	147	2173
1	222	2127
2	491	2127
3	1085	2127
4	2714	2127
5	5167	2127

prune62.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	110	3	113

Error

Counts

113 → 3

Alt Table

Status	Error	Program
	0.6b	(.f64 (.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
▶	0.1b	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))
✓	0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Compiler

Compiled 2062 to 403 computations (80.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
✓	0.1b	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

series39.0ms (0.5%)

Counts

2 → 24

Calls

2 calls:

23.0ms	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))
16.0ms	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))

rewrite78.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

522×	`times-frac_binary64`
394×	`add-sqr-sqrt_binary64`
318×	`fabs-mul_binary64`
312×	`*-un-lft-identity_binary64`
240×	`add-cube-cbrt_binary64`

Counts

2 → 398

Calls

2 calls:

15.0ms	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))
11.0ms	(/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y)))

simplify389.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

882×	`fma-def_binary64`
447×	`times-frac_binary64`
356×	`associate-/r/_binary64`
302×	`associate-/r*_binary64`
275×	`associate-/l*_binary64`

Counts

422 → 482

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	10334
1	447	9455
2	1175	9242
3	2996	9242
4	4165	9242
5	5440	9242

prune251.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	482	0	482
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	482	3	485

Error

Counts

485 → 3

Alt Table

Status	Error	Program
▶	0.6b	(.f64 (.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
✓	0.1b	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))
✓	0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Compiler

Compiled 10446 to 2817 computations (73% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
✓	0.2b	(.f64 (.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
✓	0.2b	(*.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
✓	0.2b	(cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))

series3.6s (47.8%)

Counts

3 → 72

Calls

3 calls:

2.9s

(*.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))

646.0ms

(cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))

17.0ms

(*.f64 (*.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))

rewrite278.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Rules

858×	`add-sqr-sqrt_binary64`
660×	`cbrt-prod_binary64`
613×	`times-frac_binary64`
550×	`fabs-mul_binary64`
340×	`*-un-lft-identity_binary64`

Counts

3 → 564

Calls

3 calls:

82.0ms

(*.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))

38.0ms

(*.f64 (*.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))

7.0ms

(cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))

simplify692.0ms (9.2%)

Algorithm

1×	egg-herbie

Rules

816×	`unswap-sqr_binary64`
617×	`associate-l_binary64`
509×	`associate-r_binary64`
352×	`times-frac_binary64`
274×	`associate-/l*_binary64`

Counts

636 → 706

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	568	25289
1	808	24832
2	2771	23826
3	3789	23662
4	5464	23662

prune552.0ms (7.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	1232	0	1232
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	1232	3	1235

Error

Counts

1235 → 3

Alt Table

Status	Error	Program
✓	0.6b	(.f64 (.f64 (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))) (cbrt.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
✓	0.1b	(/.f64 1 (/.f64 (fabs.f64 y) (fabs.f64 (-.f64 x y))))
✓	0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Compiler

Compiled 48150 to 5082 computations (89.4% saved)

regimes306.0ms (4.1%)

Accuracy

Total 0.0b remaining (44.9%)

Threshold costs 0.0b (44.9%)

Counts

82 → 1

Compiler

Compiled 5130 to 3171 computations (38.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	11	9
2	18	9
3	22	9
4	26	9
5	28	9
6	29	9
7	29	9

end51.0ms (0.7%)

Compiler: Compiled 64 to 33 computations (48.4% saved)

Iter	Nodes	Cost
0	7	11
1	11	11
2	18	11
3	27	11
4	43	11
5	77	11
6	89	11
7	112	11
8	136	11
9	159	11
10	167	11
11	161	11
12	144	11

Iter	Nodes	Cost
0	7	11
1	11	11
2	18	11
3	27	11
4	43	11
5	77	11
6	89	11
7	112	11
8	136	11
9	159	11
10	167	11
11	161	11
12	144	11

Details

analyze172.0ms (2.3%)

sample861.0ms (11.5%)

simplify14.0ms (0.2%)

prune1.0ms (0%)

localize10.0ms (0.1%)

series15.0ms (0.2%)

rewrite15.0ms (0.2%)

simplify112.0ms (1.5%)

prune62.0ms (0.8%)

localize6.0ms (0.1%)

series39.0ms (0.5%)

rewrite78.0ms (1%)

simplify389.0ms (5.2%)

prune251.0ms (3.3%)

localize9.0ms (0.1%)

series3.6s (47.8%)

rewrite278.0ms (3.7%)

simplify692.0ms (9.2%)

prune552.0ms (7.4%)

regimes306.0ms (4.1%)

simplify3.0ms (0%)

end51.0ms (0.7%)

Profiling

Iter	Nodes	Cost
0	7	11
1	11	11
2	18	11
3	27	11
4	43	11
5	77	11
6	89	11
7	112	11
8	136	11
9	159	11
10	167	11
11	161	11
12	144	11