Details

analyze505.0ms (26.5%)

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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	50%	25.1%	7
31.2%	37.5%	31.3%	8
39%	24.2%	36.8%	9
42.9%	18.3%	38.7%	10
47.2%	11.9%	40.9%	11
49.4%	9.1%	41.6%	12
51.6%	5.9%	42.5%	13
52.7%	4.5%	42.8%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample895.0ms (47.1%)

Results

704.0ms	8256×	body	128	valid
13.0ms	161×	body	128	invalid

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify112.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

2423×	`fma-neg_binary64`
945×	`fma-def_binary64`
931×	`distribute-rgt-in_binary64`
213×	`unsub-neg_binary64`
200×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	10	10
2	29	10
3	70	10
4	151	10
5	356	10
6	655	10
7	891	10
8	1890	10
9	1826	10
10	1992	10
11	2034	10
12	2072	10
13	2072	10
14	2072	10
15	2074	10
16	5142	10

prune1.0ms (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 x y))

Compiler

Compiled 27 to 15 computations (44.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(*.f64 (+.f64 x y) (-.f64 x y))

rewrite12.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`
18×	`prod-diff_binary64`
17×	`add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64`

Counts

1 → 57

Calls

1 calls:

7.0ms

(*.f64 (+.f64 x y) (-.f64 x y))

simplify69.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

835×	`distribute-rgt-in_binary64`
791×	`distribute-lft-in_binary64`
673×	`fma-def_binary64`
212×	`exp-prod_binary64`
145×	`associate-l_binary64`

Counts

81 → 84

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1280
1	290	1202
2	1128	1112
3	4796	1112
4	4937	1112

prune36.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	2	85

Error

Counts

85 → 2

Alt Table

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

Compiler

Compiled 1646 to 390 computations (76.3% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series21.0ms (1.1%)

Counts

3 → 72

Calls

3 calls:

7.0ms	(*.f64 (neg.f64 y) (+.f64 x y))
7.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 (neg.f64 y) (+.f64 x y)))
7.0ms	(*.f64 x (+.f64 x y))

rewrite18.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`associate-l_binary64`
13×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`associate-*r/_binary64`
9×	`add-cube-cbrt_binary64`

Counts

3 → 82

Calls

3 calls:

5.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 (neg.f64 y) (+.f64 x y)))
5.0ms	(*.f64 (neg.f64 y) (+.f64 x y))
4.0ms	(*.f64 x (+.f64 x y))

simplify85.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

385×	`associate-+l+_binary64`
303×	`distribute-rgt-neg-out_binary64`
289×	`distribute-lft-neg-out_binary64`
209×	`associate-l_binary64`
199×	`fma-neg_binary64`

Counts

154 → 144

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	1723
1	441	1639
2	1870	1617
3	4816	1617
4	5026	1617

prune58.0ms (3.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	144	2	146

Error

Counts

146 → 2

Alt Table

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

Compiler

Compiled 2653 to 537 computations (79.8% saved)

regimes32.0ms (1.7%)

Accuracy

Total 0.0b remaining (60%)

Threshold costs 0.0b (60%)

Counts

10 → 1

Compiler

Compiled 426 to 228 computations (46.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-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	6	10
1	10	10
2	15	10
3	17	10
4	18	10
5	18	10

end39.0ms (2.1%)

Compiler: Compiled 41 to 22 computations (46.3% saved)

Details

analyze505.0ms (26.5%)

sample895.0ms (47.1%)

simplify112.0ms (5.9%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series7.0ms (0.4%)

rewrite12.0ms (0.6%)

simplify69.0ms (3.6%)

prune36.0ms (1.9%)

localize6.0ms (0.3%)

series21.0ms (1.1%)

rewrite18.0ms (1%)

simplify85.0ms (4.5%)

prune58.0ms (3.1%)

regimes32.0ms (1.7%)

simplify2.0ms (0.1%)

end39.0ms (2.1%)

Profiling