Details

analyze160.0ms (9.8%)

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)

sample957.0ms (58.5%)

Results

909.0ms	8256×	body	128	valid
35.0ms	312×	body	128	invalid

Compiler

Compiled 20 to 16 computations (20% saved)

preprocess29.0ms (1.8%)

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 (1.4%)

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

prune2.0ms (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 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series12.0ms (0.7%)

Counts

1 → 6

Calls

6 calls:

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

rewrite36.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`pow1_binary64`
715×	`log1p-expm1-u_binary64`
715×	`expm1-log1p-u_binary64`
79×	`add-sqr-sqrt_binary64`
78×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	159	10
2	2019	10

Stop Event

1×	node limit

Counts

1 → 37

simplify24.0ms (1.5%)

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

43 → 40

prune26.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	2	41

Error

Counts

41 → 2

Alt Table

Status	Error	Program
▶	21.4b	(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) 2)
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 580 to 430 computations (25.9% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
✓	0.2b	(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) 2)
✓	20.1b	(sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)))

series64.0ms (3.9%)

Counts

2 → 48

Calls

12 calls:

9.0ms	(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) 2)	x	0
8.0ms	(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) 2)	y	-inf
7.0ms	(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) 2)	y	inf
7.0ms	(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) 2)	x	-inf
6.0ms	(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) 2)	y	0

rewrite46.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

832×	`log1p-expm1-u_binary64`
832×	`expm1-log1p-u_binary64`
97×	`add-sqr-sqrt_binary64`
96×	`pow1_binary64`
95×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	221	22
2	2411	22

Stop Event

1×	node limit

Counts

2 → 66

simplify70.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

629×	`times-frac_binary64`
412×	`fma-neg_binary64`
298×	`associate-/r*_binary64`
279×	`associate-/l*_binary64`
199×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	1116
1	224	957
2	714	929
3	4454	925

Stop Event

1×	node limit

Counts

114 → 93

prune79.0ms (4.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	133	2	135

Error

Counts

135 → 2

Alt Table

Status	Error	Program
✓	21.4b	(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) 2)
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 2337 to 1824 computations (22% saved)

regimes51.0ms (3.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

9 → 1

Compiler

Compiled 450 to 363 computations (19.3% 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

end46.0ms (2.8%)

Stop Event

1×

done

Compiler

Compiled 39 to 31 computations (20.5% saved)

Details

analyze160.0ms (9.8%)

sample957.0ms (58.5%)

preprocess29.0ms (1.8%)

simplify23.0ms (1.4%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

series12.0ms (0.7%)

rewrite36.0ms (2.2%)

simplify24.0ms (1.5%)

prune26.0ms (1.6%)

localize6.0ms (0.4%)

series64.0ms (3.9%)

rewrite46.0ms (2.8%)

simplify70.0ms (4.3%)

prune79.0ms (4.8%)

regimes51.0ms (3.1%)

simplify2.0ms (0.1%)

end46.0ms (2.8%)

Profiling