Details

analyze54.0ms (5%)

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
50%	50%	0.1%	4
50%	50%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
87.4%	12.5%	0.1%	8
87.4%	12.5%	0.1%	9
93.7%	6.2%	0.1%	10
93.7%	6.2%	0.1%	11
96.8%	3.1%	0.1%	12
96.8%	3.1%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample835.0ms (78.2%)

Results

667.0ms	7651×	body	128	valid
58.0ms	187×	body	2048	valid
58.0ms	216×	body	1024	valid
26.0ms	139×	body	512	valid
9.0ms	63×	body	256	valid

Compiler

Compiled 20 to 16 computations (20% saved)

preprocess21.0ms (2%)

Algorithm

2×	egg-herbie

Rules

98×	`fma-neg_binary64`
42×	`fma-def_binary64`
32×	`cancel-sign-sub-inv_binary64`
18×	`associate--r+_binary64`
18×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	23	14
2	41	10
3	68	10
4	94	10
5	142	10
6	208	10
7	317	10
8	375	10
9	389	10
10	391	10
0	2	2

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify10.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

65×	`fma-def_binary64`
50×	`fma-neg_binary64`
24×	`cancel-sign-sub-inv_binary64`
15×	`sub-neg_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	16	7
2	26	5
3	40	5
4	55	5
5	79	5
6	127	5
7	172	5
8	216	5
9	273	5
10	315	5
11	319	5

Stop Event

1×

saturated

Counts

1 → 2

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0b	(fma.f64 y -3/8 x)

Compiler

Compiled 25 to 17 computations (32% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 y -3/8 x)

series3.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

1.0ms	(fma.f64 y -3/8 x)	x	-inf
1.0ms	(fma.f64 y -3/8 x)	x	inf
1.0ms	(fma.f64 y -3/8 x)	y	-inf
0.0ms	(fma.f64 y -3/8 x)	y	inf
0.0ms	(fma.f64 y -3/8 x)	y	0

rewrite31.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

417×	`log1p-expm1-u_binary64`
417×	`expm1-log1p-u_binary64`
365×	`pow1_binary64`
210×	`unpow-prod-down_binary64`
202×	`log-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	100	5
2	1116	5

Stop Event

1×	node limit

Counts

1 → 39

simplify18.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

65×	`fma-def_binary64`
50×	`fma-neg_binary64`
26×	`cancel-sign-sub-inv_binary64`
15×	`sub-neg_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	141
1	14	141
2	23	105
3	37	105
4	52	105
5	76	105
6	124	105
7	168	105
8	214	105
9	271	105
10	313	105
11	317	105

Stop Event

1×

saturated

Counts

63 → 44

prune18.0ms (1.7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	1	45

Error

Counts

45 → 1

Alt Table

Status	Error	Program
✓	0b	(fma.f64 y -3/8 x)

Compiler

Compiled 430 to 308 computations (28.4% saved)

regimes34.0ms (3.2%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts

5 → 1

Compiler

Compiled 182 to 139 computations (23.6% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5

Stop Event

1×

saturated

end36.0ms (3.4%)

Stop Event

1×

done

Compiler

Compiled 18 to 12 computations (33.3% saved)

Iter	Nodes	Cost
0	11	14
1	23	14
2	41	10
3	68	10
4	94	10
5	142	10
6	208	10
7	317	10
8	375	10
9	389	10
10	391	10
0	2	2

Iter	Nodes	Cost
0	8	141
1	14	141
2	23	105
3	37	105
4	52	105
5	76	105
6	124	105
7	168	105
8	214	105
9	271	105
10	313	105
11	317	105

Iter	Nodes	Cost
0	11	14
1	23	14
2	41	10
3	68	10
4	94	10
5	142	10
6	208	10
7	317	10
8	375	10
9	389	10
10	391	10
0	2	2

Iter	Nodes	Cost
0	8	141
1	14	141
2	23	105
3	37	105
4	52	105
5	76	105
6	124	105
7	168	105
8	214	105
9	271	105
10	313	105
11	317	105

Details

analyze54.0ms (5%)

sample835.0ms (78.2%)

preprocess21.0ms (2%)

simplify10.0ms (0.9%)

prune2.0ms (0.2%)

localize3.0ms (0.3%)

series3.0ms (0.3%)

rewrite31.0ms (2.9%)

simplify18.0ms (1.7%)

prune18.0ms (1.7%)

regimes34.0ms (3.2%)

simplify2.0ms (0.2%)

end36.0ms (3.4%)

Profiling

Iter	Nodes	Cost
0	11	14
1	23	14
2	41	10
3	68	10
4	94	10
5	142	10
6	208	10
7	317	10
8	375	10
9	389	10
10	391	10
0	2	2

Iter	Nodes	Cost
0	8	141
1	14	141
2	23	105
3	37	105
4	52	105
5	76	105
6	124	105
7	168	105
8	214	105
9	271	105
10	313	105
11	317	105