Details

analyze148.0ms (8.1%)

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
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
25%	32.8%	42.2%	8
25%	23.4%	51.6%	9
28.1%	18%	54%	10
31.6%	11.5%	56.9%	11
33.4%	8.9%	57.8%	12
35.2%	5.7%	59.1%	13
36.1%	4.4%	59.4%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample995.0ms (54.8%)

Results

945.0ms	8256×	body	128	valid
33.0ms	317×	body	128	invalid

Compiler

Compiled 20 to 16 computations (20% saved)

preprocess30.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

526×	`distribute-rgt-in_binary64`
486×	`distribute-lft-in_binary64`
334×	`cancel-sign-sub-inv_binary64`
241×	`associate-l_binary64`
241×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	18	20
2	51	20
3	123	20
4	361	20
5	1601	20
0	2	2

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify23.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

432×	`unswap-sqr_binary64`
377×	`fma-def_binary64`
236×	`distribute-rgt-neg-in_binary64`
235×	`distribute-rgt-in_binary64`
219×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	37	10
3	82	10
4	230	10
5	921	10
6	2917	10

Stop Event

1×	node limit

Counts

1 → 1

prune70.0ms (3.8%)

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 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

series14.0ms (0.8%)

Counts

1 → 6

Calls

6 calls:

3.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))	x	0
3.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))	x	inf
2.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))	y	-inf
2.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))	y	inf
2.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))	y	0

rewrite59.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`log1p-expm1-u_binary64`
715×	`expm1-log1p-u_binary64`
469×	`prod-diff_binary64`
75×	`add-sqr-sqrt_binary64`
75×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	159	10
2	1997	10

Stop Event

1×	node limit

Counts

1 → 71

simplify28.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

836×	`fma-def_binary64`
684×	`unswap-sqr_binary64`
586×	`associate-l_binary64`
323×	`associate-r_binary64`
215×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	16	30
2	34	30
3	65	30
4	152	30
5	481	30
6	1762	30
7	3577	30

Stop Event

1×	node limit

Counts

77 → 74

prune54.0ms (3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	2	75

Error

Counts

75 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
▶	27.4b	(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) 3))

Compiler

Compiled 1537 to 1089 computations (29.1% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
✓	0.1b	(pow.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) 3)
✓	26.3b	(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) 3))

series40.0ms (2.2%)

Counts

2 → 48

Calls

12 calls:

6.0ms	(pow.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) 3)	y	inf
4.0ms	(pow.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) 3)	x	0
4.0ms	(pow.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) 3)	y	0
4.0ms	(pow.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) 3)	x	-inf
4.0ms	(pow.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) 3)	x	inf

rewrite53.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`log1p-expm1-u_binary64`
864×	`expm1-log1p-u_binary64`
469×	`prod-diff_binary64`
108×	`egg-rr`
92×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	217	23
2	2449	23

Stop Event

1×	node limit

Counts

2 → 108

simplify38.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

533×	`fma-def_binary64`
528×	`unswap-sqr_binary64`
472×	`distribute-rgt-neg-in_binary64`
385×	`cancel-sign-sub-inv_binary64`
321×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	762
1	80	756
2	244	747
3	936	738
4	3312	738

Stop Event

1×	node limit

Counts

156 → 124

prune145.0ms (8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	198	2	200

Error

Counts

200 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
✓	27.4b	(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) 3))

Compiler

Compiled 4209 to 3104 computations (26.3% saved)

regimes55.0ms (3%)

Accuracy

Total 0.0b remaining (6.7%)

Threshold costs 0.0b (6.7%)

Counts

10 → 1

Compiler

Compiled 475 to 388 computations (18.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	9	10
2	14	10
3	16	10
4	17	10

Stop Event

1×

saturated

end49.0ms (2.7%)

Stop Event

1×

done

Compiler

Compiled 39 to 31 computations (20.5% saved)

Details

analyze148.0ms (8.1%)

sample995.0ms (54.8%)

preprocess30.0ms (1.6%)

simplify23.0ms (1.3%)

prune70.0ms (3.8%)

localize7.0ms (0.4%)

series14.0ms (0.8%)

rewrite59.0ms (3.2%)

simplify28.0ms (1.6%)

prune54.0ms (3%)

localize7.0ms (0.4%)

series40.0ms (2.2%)

rewrite53.0ms (2.9%)

simplify38.0ms (2.1%)

prune145.0ms (8%)

regimes55.0ms (3%)

simplify2.0ms (0.1%)

end49.0ms (2.7%)

Profiling