Details

analyze102.0ms (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
37.5%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample884.0ms (61.2%)

Results

804.0ms	8256×	body	128	valid
13.0ms	145×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify31.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

388×	`fma-def_binary64`
286×	`fma-neg_binary64`
71×	`distribute-rgt-in_binary64`
70×	`associate-l_binary64`
69×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	18	10
2	40	10
3	88	10
4	154	10
5	217	10
6	386	10
7	511	10
8	657	10
9	727	10
10	777	10
11	724	10

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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(.f64 2 (.f64 x (-.f64 x y)))

Compiler

Compiled 36 to 23 computations (36.1% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (.f64 x (-.f64 x y)))

series17.0ms (1.2%)

Counts

1 → 24

Calls

1 calls:

17.0ms

(*.f64 2 (*.f64 x (-.f64 x y)))

rewrite18.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`distribute-lft-in_binary64`
52×	`distribute-rgt-in_binary64`
36×	`prod-diff_binary64`
30×	`*-un-lft-identity_binary64`
30×	`add-sqr-sqrt_binary64`

Counts

1 → 74

Calls

1 calls:

8.0ms

(*.f64 2 (*.f64 x (-.f64 x y)))

simplify105.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

512×	`fma-neg_binary64`
375×	`*-commutative_binary64`
278×	`distribute-lft-neg-out_binary64`
274×	`distribute-rgt-neg-out_binary64`
267×	`associate-+l+_binary64`

Counts

98 → 91

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	190	1726
1	260	1429
2	772	1213
3	2146	1105
4	4634	1105
5	4999	1105
6	4691	1105

prune45.0ms (3.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	2	92

Error

Counts

92 → 2

Alt Table

Status	Error	Program
▶	0.2b	(.f64 x (.f64 2 (-.f64 x y)))
✓	0.0b	(.f64 2 (.f64 x (-.f64 x y)))

Compiler

Compiled 1919 to 723 computations (62.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 2 (-.f64 x y)))

series8.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 x (*.f64 2 (-.f64 x y)))

rewrite30.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`distribute-lft-in_binary64`
52×	`distribute-rgt-in_binary64`
36×	`prod-diff_binary64`
30×	`*-un-lft-identity_binary64`
30×	`add-sqr-sqrt_binary64`

Counts

1 → 74

Calls

1 calls:

8.0ms

(*.f64 x (*.f64 2 (-.f64 x y)))

simplify85.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

510×	`fma-neg_binary64`
381×	`*-commutative_binary64`
334×	`exp-prod_binary64`
295×	`distribute-lft-neg-out_binary64`
290×	`distribute-rgt-neg-out_binary64`

Counts

98 → 84

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	1726
1	260	1429
2	790	1213
3	2192	1105
4	4566	1105
5	4891	1105

prune39.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	84	2	86

Error

Counts

86 → 2

Alt Table

Status	Error	Program
✓	0.2b	(.f64 x (.f64 2 (-.f64 x y)))
✓	0.0b	(.f64 2 (.f64 x (-.f64 x y)))

Compiler

Compiled 1814 to 718 computations (60.4% saved)

regimes32.0ms (2.2%)

Accuracy

Total 0.0b remaining (48.8%)

Threshold costs 0.0b (48.8%)

Counts

6 → 1

Compiler

Compiled 252 to 172 computations (31.7% saved)

simplify2.0ms (0.2%)

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	7	10
1	11	10
2	16	10
3	18	10
4	19	10
5	19	10

end34.0ms (2.4%)

Compiler: Compiled 36 to 24 computations (33.3% saved)

Iter	Nodes	Cost
0	8	10
1	18	10
2	40	10
3	88	10
4	154	10
5	217	10
6	386	10
7	511	10
8	657	10
9	727	10
10	777	10
11	724	10

Iter	Nodes	Cost
0	8	10
1	18	10
2	40	10
3	88	10
4	154	10
5	217	10
6	386	10
7	511	10
8	657	10
9	727	10
10	777	10
11	724	10

Details

analyze102.0ms (7.1%)

sample884.0ms (61.2%)

simplify31.0ms (2.2%)

prune2.0ms (0.2%)

localize4.0ms (0.3%)

series17.0ms (1.2%)

rewrite18.0ms (1.2%)

simplify105.0ms (7.3%)

prune45.0ms (3.1%)

localize4.0ms (0.3%)

series8.0ms (0.6%)

rewrite30.0ms (2.1%)

simplify85.0ms (5.9%)

prune39.0ms (2.7%)

regimes32.0ms (2.2%)

simplify2.0ms (0.2%)

end34.0ms (2.4%)

Profiling

Iter	Nodes	Cost
0	8	10
1	18	10
2	40	10
3	88	10
4	154	10
5	217	10
6	386	10
7	511	10
8	657	10
9	727	10
10	777	10
11	724	10