Details

analyze54.0ms (3.4%)

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
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.1s (70.6%)

Results

966.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(/.f64 x (+.f64 y x))

rewrite42.0ms (2.7%)

Algorithm

2×	batch-egg-rewrite

Rules

664×	`log1p-expm1-u_binary64`
664×	`expm1-log1p-u_binary64`
473×	`prod-diff_binary64`
61×	`add-sqr-sqrt_binary64`
57×	`add-log-exp_binary64`

Counts

1 → 36

Calls

1 calls:

41.0ms

(/.f64 x (+.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	115	7
2	1646	7
3	4975	7
0	0	0
1	0	0

simplify77.0ms (5%)

Algorithm

1×	egg-herbie

Rules

385×	`associate-/l*_binary64`
334×	`associate-/r*_binary64`
321×	`associate-*l/_binary64`
252×	`fma-def_binary64`
241×	`associate-*r/_binary64`

Counts

60 → 49

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	30	438
1	76	438
2	217	387
3	866	345
4	4256	345
5	4966	321
6	4952	321

prune23.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	2	50

Error

Counts

50 → 2

Alt Table

Status	Error	Program
▶	0.4b	(pow.f64 (/.f64 (+.f64 x y) x) -1)
✓	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 564 to 237 computations (58% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) x)
✓	0.4b	(pow.f64 (/.f64 (+.f64 x y) x) -1)

series13.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

7.0ms	(pow.f64 (/.f64 (+.f64 x y) x) -1)
6.0ms	(/.f64 (+.f64 x y) x)

rewrite57.0ms (3.7%)

Algorithm

2×	batch-egg-rewrite

Rules

823×	`log1p-expm1-u_binary64`
823×	`expm1-log1p-u_binary64`
473×	`prod-diff_binary64`
80×	`add-sqr-sqrt_binary64`
79×	`egg-rr`

Counts

2 → 79

Calls

2 calls:

56.0ms	(/.f64 (+.f64 x y) x)
56.0ms	(pow.f64 (/.f64 (+.f64 x y) x) -1)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	157	14
2	2050	14
3	5890	14
0	0	0
1	0	0

simplify74.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

385×	`associate-/l*_binary64`
334×	`associate-/r*_binary64`
321×	`associate-*l/_binary64`
253×	`fma-def_binary64`
241×	`associate-*r/_binary64`

Counts

127 → 95

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	579
1	78	579
2	219	528
3	868	486
4	4259	486
5	4969	462
6	4955	462

prune37.0ms (2.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	95	2	97

Error

Counts

97 → 2

Alt Table

Status	Error	Program
✓	0.4b	(pow.f64 (/.f64 (+.f64 x y) x) -1)
✓	0.0b	(/.f64 x (+.f64 y x))

Compiler

Compiled 1108 to 449 computations (59.5% saved)

regimes23.0ms (1.5%)

Accuracy

Total 0.0b remaining (35.8%)

Threshold costs 0.0b (35.8%)

Counts

5 → 1

Compiler

Compiled 137 to 88 computations (35.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

end34.0ms (2.2%)

Compiler: Compiled 30 to 18 computations (40% saved)

Details

analyze54.0ms (3.4%)

sample1.1s (70.6%)

simplify6.0ms (0.4%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

series7.0ms (0.4%)

rewrite42.0ms (2.7%)

simplify77.0ms (5%)

prune23.0ms (1.5%)

localize4.0ms (0.3%)

series13.0ms (0.8%)

rewrite57.0ms (3.7%)

simplify74.0ms (4.7%)

prune37.0ms (2.4%)

regimes23.0ms (1.5%)

simplify2.0ms (0.1%)

end34.0ms (2.2%)

Profiling