Details

analyze77.0ms (7.1%)

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
50%	50%	0.1%	6
56.2%	37.5%	6.3%	7
68.7%	25%	6.3%	8
71.8%	18.7%	9.5%	9
78%	12.5%	9.5%	10
79.6%	9.4%	11%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample692.0ms (63.9%)

Results

672.0ms	8256×	body	128	valid
6.0ms	77×	body	128	invalid

Compiler

Compiled 16 to 12 computations (25% saved)

preprocess24.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

246×	`fma-def_binary64`
86×	`fma-neg_binary64`
40×	`distribute-rgt-in_binary64`
28×	`sub-neg_binary64`
26×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	16	14
2	35	14
3	69	14
4	144	14
5	216	14
6	313	14
7	451	14
8	713	14
9	729	14
10	753	14
0	2	2

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify12.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

146×	`fma-def_binary64`
61×	`fma-neg_binary64`
26×	`distribute-rgt-in_binary64`
22×	`cancel-sign-sub-inv_binary64`
20×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	21	7
3	41	7
4	92	7
5	135	7
6	201	7
7	283	7
8	434	7
9	479	7
10	511	7
11	515	7

Stop Event

1×

saturated

Counts

1 → 2

prune2.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 2

Alt Table

Status	Error	Program
	0.0b	(-.f64 x (*.f64 x y))
▶	0.0b	(*.f64 x (-.f64 1 y))

Compiler

Compiled 40 to 25 computations (37.5% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.5%)

Counts

1 → 24

Calls

6 calls:

2.0ms	(*.f64 x (-.f64 1 y))	x	-inf
1.0ms	(*.f64 x (-.f64 1 y))	x	0
1.0ms	(*.f64 x (-.f64 1 y))	x	inf
1.0ms	(*.f64 x (-.f64 1 y))	y	inf
1.0ms	(*.f64 x (-.f64 1 y))	y	-inf

rewrite34.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
278×	`log-prod_binary64`
132×	`prod-diff_binary64`
108×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	123	7
2	1507	7

Stop Event

1×	node limit

Counts

1 → 34

simplify18.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

126×	`fma-def_binary64`
71×	`fma-neg_binary64`
22×	`cancel-sign-sub-inv_binary64`
20×	`sub-neg_binary64`
18×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	160
1	23	160
2	43	160
3	68	160
4	116	160
5	203	160
6	340	160
7	420	160
8	487	160
9	493	160

Stop Event

1×

saturated

Counts

58 → 39

prune16.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

Counts

41 → 2

Alt Table

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

Compiler

Compiled 367 to 213 computations (42% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

1.0ms	(-.f64 x (*.f64 x y))	x	-inf
1.0ms	(-.f64 x (*.f64 x y))	x	inf
1.0ms	(-.f64 x (*.f64 x y))	x	0
1.0ms	(-.f64 x (*.f64 x y))	y	-inf
1.0ms	(-.f64 x (*.f64 x y))	y	inf

rewrite44.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`prod-diff_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
96×	`egg-rr`
60×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1624	7

Stop Event

1×	node limit

Counts

1 → 96

simplify17.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

152×	`fma-def_binary64`
66×	`fma-neg_binary64`
23×	`associate-l_binary64`
23×	`distribute-rgt-in_binary64`
21×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	160
1	33	160
2	67	160
3	119	160
4	199	160
5	332	160
6	524	160
7	541	160

Stop Event

1×

saturated

Counts

120 → 103

prune40.0ms (3.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	103	2	105

Error

Counts

105 → 2

Alt Table

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

Compiler

Compiled 2161 to 484 computations (77.6% saved)

regimes46.0ms (4.2%)

Accuracy

Total 0.0b remaining (95%)

Threshold costs 0.0b (95%)

Counts

4 → 1

Compiler

Compiled 148 to 101 computations (31.8% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	11	7
2	23	7
3	29	7
4	33	7
5	34	7

Stop Event

1×

saturated

end41.0ms (3.8%)

Stop Event

1×

done

Compiler

Compiled 28 to 17 computations (39.3% saved)

Iter	Nodes	Cost
0	8	14
1	16	14
2	35	14
3	69	14
4	144	14
5	216	14
6	313	14
7	451	14
8	713	14
9	729	14
10	753	14
0	2	2

Iter	Nodes	Cost
0	10	160
1	23	160
2	43	160
3	68	160
4	116	160
5	203	160
6	340	160
7	420	160
8	487	160
9	493	160

Iter	Nodes	Cost
0	8	14
1	16	14
2	35	14
3	69	14
4	144	14
5	216	14
6	313	14
7	451	14
8	713	14
9	729	14
10	753	14
0	2	2

Iter	Nodes	Cost
0	10	160
1	23	160
2	43	160
3	68	160
4	116	160
5	203	160
6	340	160
7	420	160
8	487	160
9	493	160

Details

analyze77.0ms (7.1%)

sample692.0ms (63.9%)

preprocess24.0ms (2.2%)

simplify12.0ms (1.1%)

prune2.0ms (0.2%)

localize3.0ms (0.3%)

series5.0ms (0.5%)

rewrite34.0ms (3.2%)

simplify18.0ms (1.7%)

prune16.0ms (1.5%)

localize4.0ms (0.3%)

series4.0ms (0.3%)

rewrite44.0ms (4.1%)

simplify17.0ms (1.6%)

prune40.0ms (3.7%)

regimes46.0ms (4.2%)

simplify2.0ms (0.2%)

end41.0ms (3.8%)

Profiling

Iter	Nodes	Cost
0	8	14
1	16	14
2	35	14
3	69	14
4	144	14
5	216	14
6	313	14
7	451	14
8	713	14
9	729	14
10	753	14
0	2	2

Iter	Nodes	Cost
0	10	160
1	23	160
2	43	160
3	68	160
4	116	160
5	203	160
6	340	160
7	420	160
8	487	160
9	493	160