Details

sample36.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
10.0ms	258×	body	80	nan

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

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: 18.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ (* x y) (* x z))
0.6b	(+ (+ (* x y) (* x z)) (* y z))
17.2b	(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))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series164.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (* x y) (* x z))
20.0ms	(+ (+ (* x y) (* x z)) (* y z))
113.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify111.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (27.0ms)

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

prune126.0ms

Filtered

49 candidates to 37 candidates (75.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	41	8	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	8	50

Merged error: 18.1b

Counts

50 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ y z))
0.6b	(+ (* x (+ y z)) (* y z))
17.2b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite22.0ms

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))
10.0ms	(+ (* x (+ y z)) (* y z))
5.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series154.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(* x (+ y z))
20.0ms	(+ (* x (+ y z)) (* y z))
110.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify38.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (32.0ms)

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

prune142.0ms

Filtered

60 candidates to 42 candidates (70.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	6	1	7
Picked	0	1	1
Done	0	0	0
Total	58	10	68

Merged error: 18.1b

Counts

68 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (* x (+ y z)) (* y z))
0.6b	(+ (* x (+ y z)) (* y z))
17.2b	(sqrt (+ (* x (+ y z)) (* y z)))
17.2b	(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)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* x (+ y z)) (* y z))
21.0ms	(+ (* x (+ y z)) (* y z))
115.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
111.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify80.0ms

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

prune204.0ms

Filtered

68 candidates to 54 candidates (79.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	68	10	78

Merged error: 18.1b

Counts

78 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

15.5b	(cbrt (+ (* x y) (* x z)))
15.5b	(cbrt (+ (* x y) (* x z)))
15.5b	(cbrt (+ (* x y) (* x z)))
17.2b	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow1/3` `sqrt-prod` `distribute-lft-out`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 57

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) (* x z)))
3.0ms	(cbrt (+ (* x y) (* x z)))
3.0ms	(cbrt (+ (* x y) (* x z)))
22.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (+ (* x y) (* x z)))
111.0ms	(cbrt (+ (* x y) (* x z)))
111.0ms	(cbrt (+ (* x y) (* x z)))
113.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

simplify75.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	273	795
1	752	736
2	2412	715
3	5001	711

prune223.0ms

Filtered

69 candidates to 66 candidates (95.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	68	11	79

Merged error: 18.1b

Counts

79 → 11

regimes133.0ms

Accuracy

0% (0.1b remaining)

Error of 19.9b against oracle of 19.8b and baseline of 19.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample1.0s

Algorithm

intervals

Results

349.0ms	8000×	body	80	valid
330.0ms	7903×	body	80	nan