Details

analyze131.0ms (12.6%)

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)

sample16.0ms (1.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 25 to 17 computations (32% saved)

simplify28.0ms (2.6%)

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

prune3.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 40 to 25 computations (37.5% saved)

localize5.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.8%)

Counts

1 → 24

Calls

1 calls:

8.0ms

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

rewrite9.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`distribute-lft-in_binary64`
3×	`distribute-rgt-in_binary64`

Counts

1 → 29

Calls

1 calls:

7.0ms

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

simplify64.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

921×	`fma-def_binary64`
480×	`associate-l_binary64`
407×	`associate-r_binary64`
328×	`fma-neg_binary64`
181×	`distribute-rgt-neg-out_binary64`

Counts

53 → 52

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	661
1	162	613
2	496	595
3	2186	595
4	4754	595
5	4884	595

prune50.0ms (4.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	2	53

Error

Counts

53 → 2

Alt Table

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

Compiler

Compiled 813 to 326 computations (59.9% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

8.0ms

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

rewrite16.0ms (1.5%)

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)))

simplify117.0ms (11.2%)

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

prune38.0ms (3.7%)

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
✓	0.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
✓	0.0b	(.f64 x (.f64 2 (-.f64 x y)))

Compiler

Compiled 1816 to 719 computations (60.4% saved)

regimes34.0ms (3.2%)

Accuracy

Total 0.0b remaining (78.6%)

Threshold costs 0.0b (78.6%)

Counts

6 → 1

Compiler

Compiled 252 to 172 computations (31.7% saved)

simplify3.0ms (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

end0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

sample512.0ms (49%)

Algorithm

1×

intervals

Results

269.0ms	8000×	body	128	valid
5.0ms	169×	body	128	invalid

Compiler

Compiled 43 to 29 computations (32.6% 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

analyze131.0ms (12.6%)

sample16.0ms (1.6%)

simplify28.0ms (2.6%)

prune3.0ms (0.3%)

localize5.0ms (0.5%)

series8.0ms (0.8%)

rewrite9.0ms (0.8%)

simplify64.0ms (6.1%)

prune50.0ms (4.7%)

localize4.0ms (0.4%)

series8.0ms (0.7%)

rewrite16.0ms (1.5%)

simplify117.0ms (11.2%)

prune38.0ms (3.7%)

regimes34.0ms (3.2%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample512.0ms (49%)

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