Details

analyze95.0ms (3.2%)

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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
74.9%	25%	0.1%	7
81.2%	18.7%	0.1%	8
87.4%	12.5%	0.1%	9
90.5%	9.4%	0.1%	10
93.7%	6.2%	0.1%	11
95.2%	4.7%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample1.0s (33.9%)

Results

878.0ms	8254×	body	128	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify62.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

546×	`fma-neg_binary64`
369×	`fma-def_binary64`
317×	`div-sub_binary64`
278×	`times-frac_binary64`
113×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	22	10
3	37	10
4	64	10
5	107	10
6	192	10
7	359	10
8	642	10
9	877	10
10	1142	10
11	1146	10
12	1156	10
13	1156	10
14	1064	10

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 1 y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

rewrite132.0ms (4.4%)

Algorithm

2×	batch-egg-rewrite

Rules

875×	`prod-diff_binary64`
238×	`fma-def_binary64`
221×	`egg-rr`
150×	`expm1-udef_binary64`
149×	`log1p-udef_binary64`

Counts

1 → 221

Calls

1 calls:

124.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	160	10
2	2304	10
3	4865	10
4	5203	10
0	0	0
1	0	0

simplify77.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

518×	`+-commutative_binary64`
479×	`associate-+l-_binary64`
438×	`cancel-sign-sub-inv_binary64`
410×	`fma-neg_binary64`
372×	`associate--r+_binary64`

Counts

245 → 238

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	419
1	139	413
2	439	406
3	1677	396
4	4211	396
5	4758	396
6	5025	396

prune300.0ms (10.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	236	2	238
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	237	2	239

Error

Counts

239 → 2

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
	13.3b	(+.f64 (fma.f64 x (/.f64 1 (-.f64 1 y)) (neg.f64 (.f64 (+.f64 y 1) (/.f64 y (-.f64 1 (.f64 y y)))))) (fma.f64 (neg.f64 (+.f64 y 1)) (/.f64 y (-.f64 1 (.f64 y y))) (.f64 (+.f64 y 1) (/.f64 y (-.f64 1 (*.f64 y y))))))

Status

Error

Program

▶

0.0b

(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))

13.3b

(+.f64 (fma.f64 x (/.f64 1 (-.f64 1 y)) (neg.f64 (*.f64 (+.f64 y 1) (/.f64 y (-.f64 1 (*.f64 y y)))))) (fma.f64 (neg.f64 (+.f64 y 1)) (/.f64 y (-.f64 1 (*.f64 y y))) (*.f64 (+.f64 y 1) (/.f64 y (-.f64 1 (*.f64 y y))))))

Compiler

Compiled 10845 to 6978 computations (35.7% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series23.0ms (0.8%)

Counts

3 → 39

Calls

3 calls:

12.0ms	(/.f64 x (-.f64 1 y))
9.0ms	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
2.0ms	(/.f64 y (-.f64 1 y))

rewrite101.0ms (3.4%)

Algorithm

2×	batch-egg-rewrite

Rules

510×	`log-prod_binary64`
433×	`fma-def_binary64`
246×	`egg-rr`
242×	`log-div_binary64`
236×	`fma-neg_binary64`

Counts

3 → 246

Calls

3 calls:

96.0ms	(/.f64 x (-.f64 1 y))
96.0ms	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
96.0ms	(/.f64 y (-.f64 1 y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	188	24
2	2875	24
3	5755	24
0	0	0
1	0	0

simplify89.0ms (3%)

Algorithm

1×	egg-herbie

Rules

565×	`sub-neg_binary64`
530×	`fma-neg_binary64`
488×	`unsub-neg_binary64`
481×	`cancel-sign-sub-inv_binary64`
247×	`fma-def_binary64`

Counts

285 → 291

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	618
1	195	592
2	647	573
3	2265	548
4	4256	548
5	4661	548
6	4971	548

prune244.0ms (8.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	290	1	291
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	291	2	293

Error

Counts

293 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
▶	13.3b	(-.f64 (/.f64 x (-.f64 1 y)) (.f64 (/.f64 y (-.f64 1 (.f64 y y))) (+.f64 y 1)))

Compiler

Compiled 5894 to 3798 computations (35.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 x (-.f64 1 y))
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (.f64 (/.f64 y (-.f64 1 (.f64 y y))) (+.f64 y 1)))
✓	0.1b	(.f64 (/.f64 y (-.f64 1 (.f64 y y))) (+.f64 y 1))
✓	14.0b	(/.f64 y (-.f64 1 (*.f64 y y)))

series49.0ms (1.6%)

Counts

3 → 48

Calls

3 calls:

41.0ms	(-.f64 (/.f64 x (-.f64 1 y)) (.f64 (/.f64 y (-.f64 1 (.f64 y y))) (+.f64 y 1)))
5.0ms	(/.f64 y (-.f64 1 (*.f64 y y)))
2.0ms	(.f64 (/.f64 y (-.f64 1 (.f64 y y))) (+.f64 y 1))

rewrite96.0ms (3.2%)

Algorithm

2×	batch-egg-rewrite

Rules

340×	`fma-neg_binary64`
252×	`expm1-udef_binary64`
252×	`log1p-udef_binary64`
150×	`add-sqr-sqrt_binary64`
145×	`log1p-expm1-u_binary64`

Counts

3 → 140

Calls

3 calls:

93.0ms	(-.f64 (/.f64 x (-.f64 1 y)) (.f64 (/.f64 y (-.f64 1 (.f64 y y))) (+.f64 y 1)))
93.0ms	(.f64 (/.f64 y (-.f64 1 (.f64 y y))) (+.f64 y 1))
93.0ms	(/.f64 y (-.f64 1 (*.f64 y y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	291	33
2	4163	33
3	5219	33
0	0	0
1	0	0

simplify71.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

574×	`fma-neg_binary64`
481×	`cancel-sign-sub-inv_binary64`
452×	`sub-neg_binary64`
281×	`fma-def_binary64`
253×	`associate--l+_binary64`

Counts

188 → 186

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	941
1	237	905
2	766	889
3	2527	787
4	4370	787
5	4971	787

prune214.0ms (7.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	237	0	237
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	237	2	239

Error

Counts

239 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
✓	13.3b	(-.f64 (/.f64 x (-.f64 1 y)) (.f64 (/.f64 y (-.f64 1 (.f64 y y))) (+.f64 y 1)))

Compiler

Compiled 5070 to 3222 computations (36.4% saved)

regimes323.0ms (10.9%)

Accuracy

Total 0.0b remaining (32.3%)

Threshold costs 0.0b (32.3%)

Counts

87 → 1

Compiler

Compiled 4334 to 3033 computations (30% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	14	16
2	22	16
3	26	16
4	28	16
5	27	16

end55.0ms (1.8%)

Compiler: Compiled 58 to 40 computations (31% saved)

Details

analyze95.0ms (3.2%)

sample1.0s (33.9%)

simplify62.0ms (2.1%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

series7.0ms (0.3%)

rewrite132.0ms (4.4%)

simplify77.0ms (2.6%)

prune300.0ms (10.1%)

localize9.0ms (0.3%)

series23.0ms (0.8%)

rewrite101.0ms (3.4%)

simplify89.0ms (3%)

prune244.0ms (8.2%)

localize10.0ms (0.3%)

series49.0ms (1.6%)

rewrite96.0ms (3.2%)

simplify71.0ms (2.4%)

prune214.0ms (7.2%)

regimes323.0ms (10.9%)

simplify3.0ms (0.1%)

end55.0ms (1.8%)

Profiling