Details

analyze56.0ms

Algorithm

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
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

sample11.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 11.2b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 x 3) x)
10.7b	(.f64 (.f64 (*.f64 x 3) x) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`add-log-exp_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

2 → 39

Calls

2 calls:

5.0ms	(.f64 (.f64 x 3) x)
7.0ms	(.f64 (.f64 (*.f64 x 3) x) y)

series8.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(.f64 (.f64 x 3) x)
5.0ms	(.f64 (.f64 (*.f64 x 3) x) y)

simplify55.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5181	301

prune34.0ms

Filtered

23 candidates to 45 candidates (-95.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	38	7	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	8	46

Merged error: 0.1b

Counts

46 → 8

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(.f64 (.f64 x 3) (*.f64 x y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
1×	`-un-lft-identity_binary64` `add-log-exp_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `associate-l_binary64` `add-sqr-sqrt_binary64` `-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

7.0ms

(*.f64 (*.f64 x 3) (*.f64 x y))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(*.f64 (*.f64 x 3) (*.f64 x y))

simplify36.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4952	193
1	4952	193

prune21.0ms

Filtered

10 candidates to 25 candidates (-150.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	25	8	33

Merged error: 0.1b

Counts

33 → 8

localize4.0ms

Local error

Found 2 expressions with local error:

0.2b	(.f64 x (.f64 3 (*.f64 x y)))
0.2b	(.f64 3 (.f64 x y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-l_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`add-log-exp_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

2 → 39

Calls

2 calls:

7.0ms	(.f64 x (.f64 3 (*.f64 x y)))
5.0ms	(.f64 3 (.f64 x y))

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(.f64 x (.f64 3 (*.f64 x y)))
4.0ms	(.f64 3 (.f64 x y))

simplify30.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5271	306

prune31.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	39	6	45
Fresh	3	2	5
Picked	1	0	1
Done	0	2	2
Total	43	10	53

Merged error: 0.0b

Counts

53 → 10

localize4.0ms

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 3 x) y)
0.2b	(.f64 x (.f64 (*.f64 3 x) y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`-un-lft-identity_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `add-sqr-sqrt_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`

Counts

2 → 39

Calls

2 calls:

5.0ms	(.f64 (.f64 3 x) y)
7.0ms	(.f64 x (.f64 (*.f64 3 x) y))

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(.f64 (.f64 3 x) y)
5.0ms	(.f64 x (.f64 (*.f64 3 x) y))

simplify54.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5187	308

prune14.0ms

Filtered

26 candidates to 45 candidates (-73.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	45	10	55

Merged error: 0.0b

Counts

55 → 10

regimes141.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms

sample342.0ms

Algorithm

intervals

Results

202.0ms	8000×	body	80	valid
2.0ms	79×	body	80	invalid

Details

analyze56.0ms

sample11.0ms

simplify5.0ms

prune3.0ms

localize4.0ms

rewrite13.0ms

series8.0ms

simplify55.0ms

prune34.0ms

localize4.0ms

rewrite7.0ms

series5.0ms

simplify36.0ms

prune21.0ms

localize4.0ms

rewrite13.0ms

series8.0ms

simplify30.0ms

prune31.0ms

localize4.0ms

rewrite14.0ms

series8.0ms

simplify54.0ms

prune14.0ms

regimes141.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample342.0ms

Profiling