Details

sample31.0ms

Algorithm

intervals

Results

11.0ms

374×

body

valid

simplify272.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	15	7
1	25	6
2	37	4
3	47	4
4	56	4
5	89	4
6	158	4
7	208	4
8	221	4
9	316	4
10	646	4
11	3185	4
12	5003	4

prune9.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x y) (* z z)) (* z z))
0.0b	(+ (* x y) (* z z))
0.1b	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

5.0ms	(+ (+ (* x y) (* z z)) (* z z))
3.0ms	(+ (* x y) (* z z))
8.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series33.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (+ (* x y) (* z z)) (* z z))
9.0ms	(+ (* x y) (* z z))
11.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify135.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (130.0ms)

Iter	Nodes	Cost
0	215	352
1	978	316
2	3975	293
3	5001	282

prune72.0ms

Filtered

47 candidates to 34 candidates (27.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	41	6	47
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	43	6	49

Merged error: 0.0b

Counts

49 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z z))
0.1b	(+ (+ (* x y) (* z z)) (* z (+ z z)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
6×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `add-cbrt-cube`
1×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`

Counts

2 → 30

Calls

2 calls:

3.0ms	(+ (* x y) (* z z))
7.0ms	(+ (+ (* x y) (* z z)) (* z (+ z z)))

series20.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* x y) (* z z))
11.0ms	(+ (+ (* x y) (* z z)) (* z (+ z z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	273	338
1	1324	281
2	5002	254

prune49.0ms

Filtered

36 candidates to 27 candidates (25.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Merged error: 0.0b

Counts

42 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* (* 3 z) z))
0.1b	(* (* 3 z) z)

rewrite8.0ms

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`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

3.0ms	(+ (* x y) (* (* 3 z) z))
4.0ms	(* (* 3 z) z)

series14.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (* x y) (* (* 3 z) z))
3.0ms	(* (* 3 z) z)

simplify139.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (135.0ms)

Iter	Nodes	Cost
0	175	161
1	822	145
2	4320	140
3	5001	139

prune43.0ms

Filtered

35 candidates to 22 candidates (37.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	34	5	39

Merged error: 0b

Counts

39 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 3 z) z)
0.4b	(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
18.3b	(sqrt (* (* 3 z) z))
18.3b	(sqrt (* (* 3 z) z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

5.0ms	(* (* 3 z) z)
11.0ms	(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
4.0ms	(sqrt (* (* 3 z) z))
3.0ms	(sqrt (* (* 3 z) z))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* 3 z) z)
7.0ms	(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
3.0ms	(sqrt (* (* 3 z) z))
4.0ms	(sqrt (* (* 3 z) z))

simplify49.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	178	365
1	984	307
2	5002	269

prune97.0ms

Filtered

120 candidates to 52 candidates (56.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	120	5	125

Merged error: 0b

Counts

125 → 5

regimes258.0ms

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	13	6
1	13	6

end0.0ms

sample808.0ms

Algorithm

intervals

Results

378.0ms

12283×

body

valid

Details

sample31.0ms

simplify272.0ms

prune9.0ms

localize7.0ms

rewrite17.0ms

series33.0ms

simplify135.0ms

prune72.0ms

localize8.0ms

rewrite11.0ms

series20.0ms

simplify54.0ms

prune49.0ms

localize6.0ms

rewrite8.0ms

series14.0ms

simplify139.0ms

prune43.0ms

localize8.0ms

rewrite29.0ms

series17.0ms

simplify49.0ms

prune97.0ms

regimes258.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample808.0ms

Profiling