Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	241×	body	80	nan
8.0ms	256×	body	80	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	33	7
2	42	7
3	44	7
4	44	7

prune3.0ms

Filtered

1 candidates to 0 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: 21.8b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.6b	(+ (* x y) (* x z))
1.8b	(+ (+ (* x y) (* x z)) (* y z))
20.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
5×	`add-sqr-sqrt`
4×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sum-log`
3×	`add-exp-log` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `sqrt-div`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `distribute-lft-out`

Counts

3 → 40

Calls

3 calls:

4.0ms	(+ (* x y) (* x z))
6.0ms	(+ (+ (* x y) (* x z)) (* y z))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* x y) (* x z))
20.0ms	(+ (+ (* x y) (* x z)) (* y z))
107.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify111.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	249	355
1	908	322
2	3660	314
3	5001	314

prune119.0ms

Filtered

49 candidates to 37 candidates (75.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	43	6	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	6	50

Merged error: 21.8b

Counts

50 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ y z))
1.8b	(+ (* x (+ y z)) (* y z))
20.6b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

6.0ms	(* x (+ y z))
6.0ms	(+ (* x (+ y z)) (* y z))
5.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series168.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* x (+ y z))
30.0ms	(+ (* x (+ y z)) (* y z))
106.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify38.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	274	329
1	1112	304
2	5001	300

prune133.0ms

Filtered

60 candidates to 41 candidates (68.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	61	5	66

Merged error: 21.8b

Counts

66 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (+ x y))
1.6b	(+ (* x y) (* z (+ x y)))
20.6b	(sqrt (+ (* x y) (* z (+ x y))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

6.0ms	(* z (+ x y))
4.0ms	(+ (* x y) (* z (+ x y)))
3.0ms	(sqrt (+ (* x y) (* z (+ x y))))

series160.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(* z (+ x y))
20.0ms	(+ (* x y) (* z (+ x y)))
115.0ms	(sqrt (+ (* x y) (* z (+ x y))))

simplify37.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	273	328
1	1133	303
2	5001	299

prune123.0ms

Filtered

60 candidates to 43 candidates (71.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	60	5	65

Merged error: 21.7b

Counts

65 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

1.8b	(+ (* x (+ y z)) (* y z))
1.8b	(+ (* x (+ y z)) (* y z))
20.6b	(sqrt (+ (* x (+ y z)) (* y z)))
20.6b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `associate-+l+` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 56

Calls

4 calls:

6.0ms	(+ (* x (+ y z)) (* y z))
6.0ms	(+ (* x (+ y z)) (* y z))
6.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
6.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series256.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* x (+ y z)) (* y z))
20.0ms	(+ (* x (+ y z)) (* y z))
106.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
109.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify85.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	184	496
1	617	456
2	2649	448
3	5001	448

prune182.0ms

Filtered

68 candidates to 54 candidates (79.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	68	5	73

Merged error: 21.7b

Counts

73 → 5

regimes112.0ms

Accuracy

0% (0.1b remaining)

Error of 20.1b against oracle of 20.1b and baseline of 20.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample799.0ms

Algorithm

intervals

Results

251.0ms	8001×	body	80	valid
231.0ms	7692×	body	80	nan