Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
7.0ms	245×	body	80	nan

simplify8.0ms

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

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: 23.6b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.8b	(+ (* x y) (* x z))
2.6b	(+ (+ (* x y) (* x z)) (* y z))
22.3b	(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)))

series165.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (* x y) (* x z))
21.0ms	(+ (+ (* x y) (* x z)) (* y z))
113.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify113.0ms

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

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Merged error: 23.5b

Counts

50 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

17.7b	(cbrt (+ (* x y) (* x z)))
17.7b	(cbrt (+ (* x y) (* x z)))
17.7b	(cbrt (+ (* x y) (* x z)))
22.3b	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

rewrite30.0ms

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:

3.0ms	(cbrt (+ (* x y) (* x z)))
3.0ms	(cbrt (+ (* x y) (* x z)))
3.0ms	(cbrt (+ (* x y) (* x z)))
18.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

series456.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt (+ (* x y) (* x z)))
117.0ms	(cbrt (+ (* x y) (* x z)))
113.0ms	(cbrt (+ (* x y) (* x z)))
115.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

simplify72.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (64.0ms)

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

prune244.0ms

Filtered

69 candidates to 66 candidates (95.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	67	8	75

Merged error: 23.5b

Counts

75 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

17.7b	(cbrt (+ (* x y) (* x z)))
17.7b	(cbrt (+ (* x y) (* x z)))
17.7b	(cbrt (+ (* x y) (* x z)))
22.3b	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (cbrt (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (* y z)))

rewrite49.0ms

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)))
37.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (cbrt (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (* y z)))

series467.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (+ (* x y) (* x z)))
115.0ms	(cbrt (+ (* x y) (* x z)))
114.0ms	(cbrt (+ (* x y) (* x z)))
120.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (cbrt (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (* y z)))

simplify112.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	282	1046
1	854	984
2	3182	954
3	5001	950

prune294.0ms

Filtered

69 candidates to 65 candidates (94.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	69	8	77

Merged error: 23.5b

Counts

77 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

17.7b	(cbrt (+ (* x y) (* x z)))
17.7b	(cbrt (+ (* x y) (* x z)))
17.7b	(cbrt (+ (* x y) (* x z)))
22.3b	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (* (cbrt (cbrt (+ (* x y) (* x z)))) (cbrt (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (* y z)))

rewrite65.0ms

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:

3.0ms	(cbrt (+ (* x y) (* x z)))
3.0ms	(cbrt (+ (* x y) (* x z)))
3.0ms	(cbrt (+ (* x y) (* x z)))
54.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (* (cbrt (cbrt (+ (* x y) (* x z)))) (cbrt (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (* y z)))

series467.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt (+ (* x y) (* x z)))
118.0ms	(cbrt (+ (* x y) (* x z)))
116.0ms	(cbrt (+ (* x y) (* x z)))
114.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (* (cbrt (cbrt (+ (* x y) (* x z)))) (cbrt (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (* y z)))

simplify100.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	282	1067
1	856	1004
2	3216	974
3	5001	967

prune265.0ms

Filtered

69 candidates to 62 candidates (89.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	69	8	77

Merged error: 23.5b

Counts

77 → 8

regimes220.0ms

Accuracy

0% (0.1b remaining)

Error of 19.6b against oracle of 19.5b and baseline of 19.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample836.0ms

Algorithm

intervals

Results

255.0ms	8000×	body	80	valid
249.0ms	7977×	body	80	nan