Details

analyze448.0ms (23.7%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.4%	10.1%	12
55%	30.3%	14.7%	13
59.5%	25.4%	15.1%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample825.0ms (43.7%)

Symmetry

(sort x y)

Results

726.0ms	8256×	body	128	valid
53.0ms	591×	body	128	invalid

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify12.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

186×	`fma-def_binary64`
33×	`distribute-rgt-in_binary64`
26×	`associate-+l+_binary64`
22×	`associate-+r+_binary64`
21×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	19	10
2	51	10
3	120	10
4	249	10
5	389	10
6	411	10
7	413	10

Stop Event

1×

saturated

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 (+.f64 x y) (+.f64 z 1))

Compiler

Compiled 30 to 21 computations (30% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))

series6.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

6.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

rewrite50.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`prod-diff_binary64`
324×	`fma-def_binary64`
172×	`fma-neg_binary64`
154×	`log1p-udef_binary64`
153×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	176	10
2	2483	10

Stop Event

1×	node limit

Counts

1 → 74

Calls

1 calls:

49.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

simplify18.0ms (1%)

Algorithm

1×	egg-herbie

Rules

174×	`fma-def_binary64`
24×	`associate-+l+_binary64`
22×	`distribute-rgt-in_binary64`
20×	`associate-+r+_binary64`
13×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	378
1	41	351
2	76	318
3	155	318
4	246	318
5	294	318
6	329	318
7	335	318

Stop Event

1×

saturated

Counts

110 → 83

prune56.0ms (3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	2	84

Error

Counts

84 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))
▶	0.0b	(+.f64 y (+.f64 (.f64 y z) (+.f64 (.f64 z x) x)))

Compiler

Compiled 1163 to 450 computations (61.3% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series12.0ms (0.6%)

Counts

2 → 24

Calls

2 calls:

8.0ms	(+.f64 (.f64 y z) (+.f64 (.f64 z x) x))
3.0ms	(+.f64 (*.f64 z x) x)

rewrite55.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`fma-def_binary64`
496×	`log-prod_binary64`
325×	`fma-neg_binary64`
174×	`expm1-udef_binary64`
174×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	184	14
2	2758	13

Stop Event

1×	node limit

Counts

2 → 156

Calls

2 calls:

52.0ms	(+.f64 (*.f64 z x) x)
52.0ms	(+.f64 (.f64 y z) (+.f64 (.f64 z x) x))

simplify12.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

30×	`fma-def_binary64`
8×	`associate-r_binary64`
8×	`associate-l_binary64`
5×	`*-lft-identity_binary64`
5×	`*-rgt-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	111
1	25	111
2	35	111
3	43	111
4	58	111
5	66	111
6	80	111
7	84	111
8	86	111

Stop Event

1×

saturated

Counts

180 → 164

prune93.0ms (5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	164	2	166

Error

Counts

166 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))
✓	0.0b	(+.f64 y (+.f64 (.f64 y z) (+.f64 (.f64 z x) x)))

Compiler

Compiled 2593 to 851 computations (67.2% saved)

regimes243.0ms (12.9%)

Accuracy

Total 0.0b remaining (79%)

Threshold costs 0.0b (79%)

Counts

47 → 1

Compiler

Compiled 3460 to 2062 computations (40.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	14	14

Stop Event

1×

saturated

end42.0ms (2.2%)

Remove: (sort x y)
Compiler: Compiled 76 to 47 computations (38.2% saved)

Details

analyze448.0ms (23.7%)

sample825.0ms (43.7%)

simplify12.0ms (0.6%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series6.0ms (0.3%)

rewrite50.0ms (2.6%)

simplify18.0ms (1%)

prune56.0ms (3%)

localize6.0ms (0.3%)

series12.0ms (0.6%)

rewrite55.0ms (2.9%)

simplify12.0ms (0.6%)

prune93.0ms (5%)

regimes243.0ms (12.9%)

simplify2.0ms (0.1%)

end42.0ms (2.2%)

Profiling