Details

analyze2.1s (37.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
2.3%	97.4%	0.3%	14

Compiler

Compiled 28 to 20 computations (28.6% saved)

sample2.0s (36.9%)

Results

1.3s	8253×	body	128	valid
709.0ms	4590×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 83 to 59 computations (28.9% saved)

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Rules

494×	`fma-neg_binary64`
474×	`distribute-neg-in_binary64`
463×	`associate--l-_binary64`
362×	`associate--r-_binary64`
354×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	31
1	49	27
2	141	25
3	466	25
4	1615	25
5	3794	25
6	4547	25
7	4966	25

prune4.0ms (0.1%)

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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))

Compiler

Compiled 93 to 60 computations (35.5% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
✓	0.0b	(fma.f64 a (-.f64 1 t) x)
✓	0.0b	(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))

series52.0ms (0.9%)

Counts

3 → 168

Calls

3 calls:

31.0ms	(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))
16.0ms	(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
6.0ms	(fma.f64 a (-.f64 1 t) x)

rewrite82.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

958×	`prod-diff_binary64`
182×	`add-sqr-sqrt_binary64`
172×	`log1p-expm1-u_binary64`
172×	`expm1-log1p-u_binary64`
169×	`add-log-exp_binary64`

Counts

3 → 74

Calls

3 calls:

80.0ms	(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
80.0ms	(fma.f64 a (-.f64 1 t) x)
80.0ms	(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	353	48
2	4493	48
3	6268	48
0	0	0
1	0	0

simplify163.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

496×	`unsub-neg_binary64`
482×	`associate--l+_binary64`
480×	`associate--r+_binary64`
470×	`distribute-neg-in_binary64`
434×	`sub-neg_binary64`

Counts

242 → 119

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	2964
1	252	2962
2	763	2905
3	2535	2903
4	3681	2903
5	4627	2903
6	4914	2903
7	4908	2903
8	4915	2903

prune98.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	118	2	120

Error

Counts

120 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))
▶	0.0b	(+.f64 a (-.f64 (fma.f64 b (+.f64 t y) (+.f64 z x)) (fma.f64 z y (fma.f64 a t (*.f64 b 2)))))

Compiler

Compiled 2485 to 1290 computations (48.1% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 b (+.f64 t y) (+.f64 z x)) (fma.f64 z y (fma.f64 a t (*.f64 b 2))))
✓	0.0b	(fma.f64 b (+.f64 t y) (+.f64 z x))

series38.0ms (0.7%)

Counts

2 → 132

Calls

2 calls:

27.0ms	(-.f64 (fma.f64 b (+.f64 t y) (+.f64 z x)) (fma.f64 z y (fma.f64 a t (*.f64 b 2))))
10.0ms	(fma.f64 b (+.f64 t y) (+.f64 z x))

rewrite72.0ms (1.3%)

Algorithm

2×	batch-egg-rewrite

Rules

313×	`expm1-udef_binary64`
313×	`log1p-udef_binary64`
172×	`add-sqr-sqrt_binary64`
165×	`log1p-expm1-u_binary64`
165×	`expm1-log1p-u_binary64`

Counts

2 → 66

Calls

2 calls:

70.0ms	(-.f64 (fma.f64 b (+.f64 t y) (+.f64 z x)) (fma.f64 z y (fma.f64 a t (*.f64 b 2))))
70.0ms	(fma.f64 b (+.f64 t y) (+.f64 z x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	330	36
2	4321	36
3	5229	36
0	0	0
1	0	0

simplify124.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

612×	`associate-+l-_binary64`
553×	`+-commutative_binary64`
434×	`unsub-neg_binary64`
310×	`sub-neg_binary64`
271×	`associate--r+_binary64`

Counts

198 → 113

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	2210
1	184	2206
2	586	2102
3	1635	2100
4	3420	2100
5	4400	2100
6	4877	2100
7	4945	2100

prune91.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	2	115

Error

Counts

115 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))
✓	0.0b	(+.f64 a (-.f64 (fma.f64 b (+.f64 t y) (+.f64 z x)) (fma.f64 z y (fma.f64 a t (*.f64 b 2)))))

Compiler

Compiled 2848 to 1076 computations (62.2% saved)

regimes560.0ms (10.1%)

Accuracy

Total 0.0b remaining (67.7%)

Threshold costs 0.0b (67.7%)

Counts

82 → 1

Compiler

Compiled 11072 to 7327 computations (33.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	28
1	22	28
2	27	28
3	29	28
4	30	28
5	30	28

end56.0ms (1%)

Compiler: Compiled 102 to 61 computations (40.2% saved)

Details

analyze2.1s (37.4%)

sample2.0s (36.9%)

simplify58.0ms (1%)

prune4.0ms (0.1%)

localize14.0ms (0.2%)

series52.0ms (0.9%)

rewrite82.0ms (1.5%)

simplify163.0ms (2.9%)

prune98.0ms (1.8%)

localize13.0ms (0.2%)

series38.0ms (0.7%)

rewrite72.0ms (1.3%)

simplify124.0ms (2.2%)

prune91.0ms (1.6%)

regimes560.0ms (10.1%)

simplify2.0ms (0%)

end56.0ms (1%)

Profiling