Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.3%	13
66.6%	0%	33.3%	14

sample12.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify122.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4950	9
1	4950	9

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.1b	(* 0.12900613773279798 (pow x 3))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 42

Calls

2 calls:

3.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
6.0ms	(* 0.12900613773279798 (pow x 3))

series13.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
4.0ms	(* 0.12900613773279798 (pow x 3))

simplify35.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4981	393
1	4981	393

prune76.0ms

Filtered

31 candidates to 48 candidates (-54.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	45	5	50

Merged error: 0.0b

Counts

50 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
0.1b	(* (* 0.12900613773279798 x) (* x x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `associate-l` `*-commutative` `flip--`

Counts

2 → 33

Calls

2 calls:

3.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
7.0ms	(* (* 0.12900613773279798 x) (* x x))

series12.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
4.0ms	(* (* 0.12900613773279798 x) (* x x))

simplify32.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5943	328

prune44.0ms

Filtered

20 candidates to 39 candidates (-95.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	39	5	44

Merged error: 0.0b

Counts

44 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) x))
0.1b	(* (* 0.12900613773279798 (* x x)) x)
0.2b	(* 0.12900613773279798 (* x x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `flip--` `unswap-sqr`

Counts

3 → 52

Calls

3 calls:

3.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) x))
7.0ms	(* (* 0.12900613773279798 (* x x)) x)
5.0ms	(* 0.12900613773279798 (* x x))

series16.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) x))
4.0ms	(* (* 0.12900613773279798 (* x x)) x)
3.0ms	(* 0.12900613773279798 (* x x))

simplify37.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5266	462

prune58.0ms

Filtered

34 candidates to 61 candidates (-79.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	62	4	66

Merged error: 0.0b

Counts

66 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.1b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b	(* 0.12900613773279798 (* x x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

3.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
5.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
5.0ms	(* 0.12900613773279798 (* x x))

series18.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
10.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
3.0ms	(* 0.12900613773279798 (* x x))

simplify33.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5152	540

prune63.0ms

Filtered

41 candidates to 61 candidates (-48.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	60	5	65

Merged error: 0.0b

Counts

65 → 5

regimes32.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	10	9
1	10	9

end0.0ms

analyze6.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.3%	13
66.6%	0%	33.3%	14

sample329.0ms

Algorithm

intervals

Results

243.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms

sample12.0ms

simplify122.0ms

prune12.0ms

localize6.0ms

rewrite10.0ms

series13.0ms

simplify35.0ms

prune76.0ms

localize6.0ms

rewrite11.0ms

series12.0ms

simplify32.0ms

prune44.0ms

localize6.0ms

rewrite16.0ms

series16.0ms

simplify37.0ms

prune58.0ms

localize5.0ms

rewrite14.0ms

series18.0ms

simplify33.0ms

prune63.0ms

regimes32.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze6.0ms

sample329.0ms

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