Details

analyze246.0ms

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%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
39%	57.7%	3.3%	9
47.6%	46%	6.4%	10
58.1%	35.5%	6.4%	11
62.2%	29.1%	8.7%	12
66.2%	22.7%	11.1%	13
71.3%	17.6%	11.1%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	26×	body	80	invalid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	286	10
1	286	10

prune3.0ms

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: 3.3b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

3.1b	(* x (- 1.0 (* y z)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

5.0ms

(* x (- 1.0 (* y z)))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(* x (- 1.0 (* y z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4954	317
1	4954	317

prune52.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	18	7	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	7	26

Merged error: 3.2b

Counts

26 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (neg (* y z))))
5.0b	(* x (neg (* y z)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* x (neg (* y z))))
5.0ms	(* x (neg (* y z)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* x (neg (* y z))))
6.0ms	(* x (neg (* y z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4994	473
1	4994	473

prune49.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	43	5	48

Merged error: 0.0b

Counts

48 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x (neg y)) z))
5.3b	(* (* x (neg y)) z)

rewrite10.0ms

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-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-lft-neg-out` `distribute-rgt-neg-out`
1×	`+-commutative` `flip3-+` `associate-l` `unsub-neg` `sum-log` `*-commutative` `flip-+`

Counts

2 → 31

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* (* x (neg y)) z))
6.0ms	(* (* x (neg y)) z)

series16.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* (* x (neg y)) z))
6.0ms	(* (* x (neg y)) z)

simplify61.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5023	434

prune48.0ms

Filtered

26 candidates to 37 candidates (-42.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	35	7	42

Merged error: 0.0b

Counts

42 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.9b	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.3b	(cbrt (- 1.0 (* y z)))
3.3b	(cbrt (- 1.0 (* y z)))
3.3b	(cbrt (- 1.0 (* y z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `flip3--` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

11.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
4.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
38.0ms	(cbrt (- 1.0 (* y z)))
43.0ms	(cbrt (- 1.0 (* y z)))
40.0ms	(cbrt (- 1.0 (* y z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5302	1653

prune154.0ms

Filtered

68 candidates to 78 candidates (-14.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	78	7	85

Merged error: 0.0b

Counts

85 → 7

regimes349.0ms

Accuracy

51.2% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 3.4b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	84	35
1	84	35

end0.0ms

sample362.0ms

Algorithm

intervals

Results

188.0ms	8000×	body	80	valid
12.0ms	555×	body	80	invalid

Details

analyze246.0ms

sample15.0ms

simplify19.0ms

prune3.0ms

localize8.0ms

rewrite6.0ms

series10.0ms

simplify50.0ms

prune52.0ms

localize7.0ms

rewrite9.0ms

series16.0ms

simplify58.0ms

prune49.0ms

localize7.0ms

rewrite10.0ms

series16.0ms

simplify61.0ms

prune48.0ms

localize8.0ms

rewrite22.0ms

series150.0ms

simplify52.0ms

prune154.0ms

regimes349.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample362.0ms

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