Details

analyze176.0ms

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%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

sample24.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
3.0ms	10×	body	80	invalid
0.0ms	2×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	53	12
1	53	12

prune7.0ms

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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

6.0ms	(+ (- 1.0 z) (log z))
9.0ms	(* y (+ (- 1.0 z) (log z)))

series27.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (- 1.0 z) (log z))
13.0ms	(* y (+ (- 1.0 z) (log z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5215	432

prune80.0ms

Filtered

34 candidates to 53 candidates (-55.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	6	54

Merged error: 0.0b

Counts

54 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (+ 1.0 (- (* (log (cbrt z)) 2) z)) (log (cbrt z))))
0.2b	(+ (+ 1.0 (- (* (log (cbrt z)) 2) z)) (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

10.0ms	(* y (+ (+ 1.0 (- (* (log (cbrt z)) 2) z)) (log (cbrt z))))
9.0ms	(+ (+ 1.0 (- (* (log (cbrt z)) 2) z)) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series128.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* y (+ (+ 1.0 (- (* (log (cbrt z)) 2) z)) (log (cbrt z))))
48.0ms	(+ (+ 1.0 (- (* (log (cbrt z)) 2) z)) (log (cbrt z)))
22.0ms	(cbrt z)
24.0ms	(cbrt z)

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4907	644
1	4907	644

prune108.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	86	5	91

Merged error: 0b

Counts

91 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ 1.0 (- (log (pow z 2/3)) z)) y)
0.3b	(* (log (cbrt z)) y)
0.6b	(cbrt z)
5.7b	(pow z 2/3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
10×	`pow1` `associate-l`
9×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-r`
4×	`add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow`
2×	`pow1/3` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `flip3-+` `pow-exp` `flip-+` `distribute-lft-out--` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

7.0ms	(* (+ 1.0 (- (log (pow z 2/3)) z)) y)
4.0ms	(* (log (cbrt z)) y)
1.0ms	(cbrt z)
2.0ms	(pow z 2/3)

series87.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (+ 1.0 (- (log (pow z 2/3)) z)) y)
23.0ms	(* (log (cbrt z)) y)
21.0ms	(cbrt z)
22.0ms	(pow z 2/3)

simplify71.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4877	562
1	4877	562

prune123.0ms

Filtered

55 candidates to 82 candidates (-49.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	82	5	87

Merged error: 0b

Counts

87 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ 1.0 (- (log z) z)))
0.5b	(cbrt (+ 1.0 (- (log z) z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`pow1` `distribute-lft-out`
4×	`add-exp-log` `cbrt-div` `pow1/3` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp`
2×	`flip3-+` `log-pow` `flip-+`

Counts

4 → 54

Calls

4 calls:

5.0ms	(cbrt (+ 1.0 (- (log z) z)))
5.0ms	(cbrt (+ 1.0 (- (log z) z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series71.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(cbrt (+ 1.0 (- (log z) z)))
13.0ms	(cbrt (+ 1.0 (- (log z) z)))
21.0ms	(cbrt z)
23.0ms	(cbrt z)

simplify39.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5448	1004

prune139.0ms

Filtered

48 candidates to 66 candidates (-37.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	66	5	71

Merged error: 0b

Counts

71 → 5

regimes227.0ms

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	23	20
1	23	20

end0.0ms

analyze183.0ms

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%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

sample551.0ms

Algorithm

intervals

Results

366.0ms	8000×	body	80	valid
14.0ms	309×	body	80	invalid
3.0ms	70×	body	80	nan

Details

analyze176.0ms

sample24.0ms

simplify4.0ms

prune7.0ms

localize10.0ms

rewrite17.0ms

series27.0ms

simplify46.0ms

prune80.0ms

localize14.0ms

rewrite24.0ms

series128.0ms

simplify45.0ms

prune108.0ms

localize21.0ms

rewrite16.0ms

series87.0ms

simplify71.0ms

prune123.0ms

localize23.0ms

rewrite14.0ms

series71.0ms

simplify39.0ms

prune139.0ms

regimes227.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze183.0ms

sample551.0ms

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