Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	25%	13
75%	0%	25%	14

sample11.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	308	7
1	308	7

prune2.0ms

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

Merged error: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (- (* x x) 3.0) 6.0)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`times-frac`
10×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-/l*` `difference-of-squares`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

6.0ms

(/ (- (* x x) 3.0) 6.0)

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ (- (* x x) 3.0) 6.0)

simplify45.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4958	405
1	4958	405

prune61.0ms

Filtered

30 candidates to 37 candidates (-23.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	4	38

Merged error: 0b

Counts

38 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (/ x 6.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

6.0ms

(* x (/ x 6.0))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* x (/ x 6.0))

simplify73.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4842	218
1	4842	218

prune44.0ms

Filtered

24 candidates to 35 candidates (-45.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	35	4	39

Merged error: 0b

Counts

39 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (- (* x x) 3.0) (/ 1 6.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
11×	`times-frac`
10×	`add-exp-log` `*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`add-cbrt-cube`
4×	`associate-l` `prod-exp`
3×	`pow1` `unswap-sqr`
2×	`frac-times` `flip3--` `div-exp` `associate-*l/` `flip--` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `div-inv` `add-log-exp` `difference-of-squares`

Counts

1 → 41

Calls

1 calls:

9.0ms

(* (- (* x x) 3.0) (/ 1 6.0))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* (- (* x x) 3.0) (/ 1 6.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5113	413

prune50.0ms

Filtered

30 candidates to 44 candidates (-46.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	44	4	48

Merged error: 0b

Counts

48 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (/ 6.0 (- (* x x) 3.0)))
0.1b	(/ 6.0 (- (* x x) 3.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
78×	`add-sqr-sqrt`
62×	`add-cube-cbrt` `*-un-lft-identity`
22×	`associate-/r*`
16×	`difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 129

Calls

2 calls:

9.0ms	(/ 1 (/ 6.0 (- (* x x) 3.0)))
7.0ms	(/ 6.0 (- (* x x) 3.0))

series9.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ 1 (/ 6.0 (- (* x x) 3.0)))
4.0ms	(/ 6.0 (- (* x x) 3.0))

simplify72.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5439	1849

prune162.0ms

Filtered

91 candidates to 135 candidates (-48.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	135	4	139

Merged error: 0b

Counts

139 → 4

regimes225.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	9
1	25	9

end0.0ms

sample273.0ms

Algorithm

intervals

Results

181.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze3.0ms

sample11.0ms

simplify14.0ms

prune2.0ms

localize4.0ms

rewrite7.0ms

series5.0ms

simplify45.0ms

prune61.0ms

localize5.0ms

rewrite7.0ms

series3.0ms

simplify73.0ms

prune44.0ms

localize6.0ms

rewrite11.0ms

series5.0ms

simplify39.0ms

prune50.0ms

localize6.0ms

rewrite21.0ms

series9.0ms

simplify72.0ms

prune162.0ms

regimes225.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample273.0ms

Profiling