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

prune7.0ms

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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.2b	(* 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))

series12.0ms

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

prune75.0ms

Filtered

31 candidates to 48 candidates (-54.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Merged error: 0b

Counts

50 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

8.0ms	(- (* 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 (28.0ms)

Iter	Nodes	Cost
0	5943	328

prune43.0ms

Filtered

19 candidates to 39 candidates (-105.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	39	6	45

Merged error: 0b

Counts

45 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b

(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798))))

0.2b

(* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798)))

0.2b

(* (pow x 3) (sqrt 0.12900613773279798))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

3.0ms

(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798))))

7.0ms

(* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798)))

7.0ms

(* (pow x 3) (sqrt 0.12900613773279798))

series28.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms

(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798))))

8.0ms

(* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798)))

6.0ms

(* (pow x 3) (sqrt 0.12900613773279798))

simplify37.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5047	675

prune106.0ms

Filtered

48 candidates to 80 candidates (-66.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	80	6	86

Merged error: 0b

Counts

86 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (cbrt (* (pow 0.12900613773279798 3) (pow x 9))))
0.1b	(* (pow 0.12900613773279798 3) (pow x 9))
20.2b	(cbrt (* (pow 0.12900613773279798 3) (pow x 9)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

3.0ms	(- (* 0.954929658551372 x) (cbrt (* (pow 0.12900613773279798 3) (pow x 9))))
7.0ms	(* (pow 0.12900613773279798 3) (pow x 9))
4.0ms	(cbrt (* (pow 0.12900613773279798 3) (pow x 9)))

series24.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(- (* 0.954929658551372 x) (cbrt (* (pow 0.12900613773279798 3) (pow x 9))))
7.0ms	(* (pow 0.12900613773279798 3) (pow x 9))
6.0ms	(cbrt (* (pow 0.12900613773279798 3) (pow x 9)))

simplify47.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5029	811

prune118.0ms

Filtered

52 candidates to 78 candidates (-50.0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	78	6	84

Merged error: 0b

Counts

84 → 6

regimes39.0ms

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

analyze3.0ms

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

sample318.0ms

Algorithm

intervals

Results

233.0ms

8000×

body

valid

Details

analyze4.0ms

sample12.0ms

simplify122.0ms

prune7.0ms

localize6.0ms

rewrite10.0ms

series12.0ms

simplify35.0ms

prune75.0ms

localize6.0ms

rewrite11.0ms

series12.0ms

simplify32.0ms

prune43.0ms

localize8.0ms

rewrite20.0ms

series28.0ms

simplify37.0ms

prune106.0ms

localize9.0ms

rewrite17.0ms

series24.0ms

simplify47.0ms

prune118.0ms

regimes39.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample318.0ms

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