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%	24.9%	13
75%	0%	25%	14

sample11.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	341	9
1	341	9

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

3.0ms	(+ 0.253 (* x 0.12))
5.0ms	(* x (+ 0.253 (* x 0.12)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ 0.253 (* x 0.12))
6.0ms	(* x (+ 0.253 (* x 0.12)))

simplify48.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5079	325

prune72.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	32	7	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	7	40

Merged error: 0.0b

Counts

40 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.253) (* x (* x 0.12)))
0.2b	(* x (* x 0.12))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 30

Calls

2 calls:

4.0ms	(+ (* x 0.253) (* x (* x 0.12)))
5.0ms	(* x (* x 0.12))

series10.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (* x 0.253) (* x (* x 0.12)))
3.0ms	(* x (* x 0.12))

simplify48.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4942	272
1	4942	272

prune46.0ms

Filtered

22 candidates to 36 candidates (-63.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Merged error: 0b

Counts

43 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.253) (* (* x x) 0.12))
0.2b	(* (* x x) 0.12)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

4.0ms	(+ (* x 0.253) (* (* x x) 0.12))
5.0ms	(* (* x x) 0.12)

series10.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (* x 0.253) (* (* x x) 0.12))
3.0ms	(* (* x x) 0.12)

simplify44.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5035	277

prune42.0ms

Filtered

23 candidates to 36 candidates (-56.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	37	4	41

Merged error: 0b

Counts

41 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.253) (* (* x (sqrt 0.12)) (* x (sqrt 0.12))))
0.2b	(* x (sqrt 0.12))
0.2b	(* x (sqrt 0.12))
0.3b	(* (* x (sqrt 0.12)) (* x (sqrt 0.12)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down`
18×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
7×	`associate-l`
6×	`add-log-exp`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`*-commutative`
2×	`pow-plus`
1×	`+-commutative` `pow2` `flip3-+` `swap-sqr` `sum-log` `flip-+`

Counts

4 → 89

Calls

4 calls:

4.0ms	(+ (* x 0.253) (* (* x (sqrt 0.12)) (* x (sqrt 0.12))))
5.0ms	(* x (sqrt 0.12))
5.0ms	(* x (sqrt 0.12))
8.0ms	(* (* x (sqrt 0.12)) (* x (sqrt 0.12)))

series30.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (* x 0.253) (* (* x (sqrt 0.12)) (* x (sqrt 0.12))))
4.0ms	(* x (sqrt 0.12))
4.0ms	(* x (sqrt 0.12))
10.0ms	(* (* x (sqrt 0.12)) (* x (sqrt 0.12)))

simplify58.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4968	564
1	4968	564

prune93.0ms

Filtered

49 candidates to 101 candidates (-106.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	101	4	105

Merged error: 0b

Counts

105 → 4

regimes29.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	11
1	72	11

end0.0ms

sample280.0ms

Algorithm

intervals

Results

198.0ms	8000×	body	80	valid
0.0ms	5×	body	80	invalid

Details

analyze3.0ms

sample11.0ms

simplify12.0ms

prune2.0ms

localize6.0ms

rewrite9.0ms

series10.0ms

simplify48.0ms

prune72.0ms

localize6.0ms

rewrite9.0ms

series10.0ms

simplify48.0ms

prune46.0ms

localize6.0ms

rewrite10.0ms

series10.0ms

simplify44.0ms

prune42.0ms

localize8.0ms

rewrite25.0ms

series30.0ms

simplify58.0ms

prune93.0ms

regimes29.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample280.0ms

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