Details

analyze342.0ms

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
23.4%	76.5%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
48.2%	43.9%	7.9%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
63.1%	22.8%	14.1%	14

sample21.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	27×	body	80	invalid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	345	9
1	345	9

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z (- 1.0 y)))
0.0b	(* z (- 1.0 y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

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

series14.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* x y) (* z (- 1.0 y)))
5.0ms	(* z (- 1.0 y))

simplify46.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5022	369

prune52.0ms

Filtered

30 candidates to 43 candidates (-43.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `unsub-neg` `distribute-rgt-neg-out` `add-cbrt-cube` `flip-+`
1×	`associate-+r-` `associate-+r+` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

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

series14.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* x y) (+ (* z 1.0) (* z (neg y))))
6.0ms	(+ (* z 1.0) (* z (neg y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5327	323

prune40.0ms

Filtered

24 candidates to 33 candidates (-37.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	33	3	36

Merged error: 0b

Counts

36 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* (sqrt z) (* (- 1.0 y) (sqrt z))))
0.1b	(* (- 1.0 y) (sqrt z))
0.2b	(* (sqrt z) (* (- 1.0 y) (sqrt z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`associate-l`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
8×	`add-cube-cbrt`
7×	`associate-r` `sqrt-prod`
5×	`add-log-exp`
4×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 60

Calls

3 calls:

4.0ms	(+ (* x y) (* (sqrt z) (* (- 1.0 y) (sqrt z))))
7.0ms	(* (- 1.0 y) (sqrt z))
9.0ms	(* (sqrt z) (* (- 1.0 y) (sqrt z)))

series24.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (* x y) (* (sqrt z) (* (- 1.0 y) (sqrt z))))
5.0ms	(* (- 1.0 y) (sqrt z))
6.0ms	(* (sqrt z) (* (- 1.0 y) (sqrt z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4965	618
1	4965	618

prune70.0ms

Filtered

52 candidates to 69 candidates (-32.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	69	3	72

Merged error: 0b

Counts

72 → 3

regimes183.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	11
1	39	11

end0.0ms

sample434.0ms

Algorithm

intervals

Results

234.0ms	8000×	body	80	valid
20.0ms	728×	body	80	invalid

Details

analyze342.0ms

sample21.0ms

simplify14.0ms

prune3.0ms

localize7.0ms

rewrite11.0ms

series14.0ms

simplify46.0ms

prune52.0ms

localize8.0ms

rewrite10.0ms

series14.0ms

simplify47.0ms

prune40.0ms

localize9.0ms

rewrite21.0ms

series24.0ms

simplify54.0ms

prune70.0ms

regimes183.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample434.0ms

Profiling