Details

sample38.0ms

Algorithm

intervals

Results

12.0ms	282×	body	80	nan
11.0ms	256×	body	80	valid

simplify10.0ms

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

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: 20.3b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.4b	(+ (* x y) (* x z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
19.1b	(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:

34.0ms	(+ (* x y) (* x z))
21.0ms	(+ (+ (* x y) (* x z)) (* y z))
110.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify117.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (32.0ms)

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

prune125.0ms

Filtered

49 candidates to 37 candidates (75.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	42	7	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	8	50

Merged error: 20.2b

Counts

50 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (+ (* x y) (* x z)) (* y z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
19.1b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.1b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

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

series254.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (+ (* x y) (* x z)) (* y z))
23.0ms	(+ (+ (* x y) (* x z)) (* y z))
105.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
106.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify93.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	186	578
1	666	522
2	2872	510
3	5001	510

prune208.0ms

Filtered

68 candidates to 54 candidates (79.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	68	8	76

Merged error: 20.2b

Counts

76 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

16.3b	(cbrt (+ (* x y) (* x z)))
16.3b	(cbrt (+ (* x y) (* x z)))
16.3b	(cbrt (+ (* x y) (* x z)))
19.1b	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

rewrite32.0ms

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)))
4.0ms	(cbrt (+ (* x y) (* x z)))
3.0ms	(cbrt (+ (* x y) (* x z)))
20.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

series448.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (+ (* x y) (* x z)))
110.0ms	(cbrt (+ (* x y) (* x z)))
108.0ms	(cbrt (+ (* x y) (* x z)))
107.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

simplify81.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	273	794
1	752	735
2	2412	714
3	5001	710

prune238.0ms

Filtered

69 candidates to 65 candidates (94.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	67	10	77

Merged error: 20.2b

Counts

77 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

16.3b	(cbrt (+ (* x y) (* x z)))
16.3b	(cbrt (+ (* x y) (* x z)))
16.3b	(cbrt (+ (* x y) (* x z)))
19.1b	(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)))

rewrite47.0ms

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)))
4.0ms	(cbrt (+ (* x y) (* x z)))
36.0ms	(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)))

series446.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(cbrt (+ (* x y) (* x z)))
110.0ms	(cbrt (+ (* x y) (* x z)))
109.0ms	(cbrt (+ (* x y) (* x z)))
112.0ms	(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)))

simplify116.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (105.0ms)

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

prune273.0ms

Filtered

69 candidates to 65 candidates (94.2%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	69	10	79

Merged error: 20.2b

Counts

79 → 10

regimes259.0ms

Accuracy

0% (0.1b remaining)

Error of 20.2b against oracle of 20.1b and baseline of 20.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

345.0ms	8000×	body	80	valid
338.0ms	8136×	body	80	nan