Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
7.0ms	243×	body	80	nan

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	7
1	44	7
2	63	7
3	70	7
4	71	7
5	71	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: 20.4b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.6b	(+ (* x y) (* x z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
19.3b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `fma-def` `*-un-lft-identity`
4×	`pow1` `sum-log`
3×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `sqrt-div` `distribute-lft-out`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

3 → 51

Calls

3 calls:

4.0ms	(+ (* x y) (* x z))
8.0ms	(+ (+ (* x y) (* x z)) (* y z))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series176.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* x y) (* x z))
27.0ms	(+ (+ (* x y) (* x z)) (* y z))
115.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify137.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	270	383
1	1009	344
2	4339	335
3	5001	334

prune189.0ms

Filtered

60 candidates to 48 candidates (80.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	7	61

Merged error: 20.3b

Counts

61 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (+ (* x y) (* x z)) (* y z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
19.3b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.3b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `fma-def` `*-un-lft-identity`
6×	`pow1` `sum-log` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `distribute-lft-out`

Counts

4 → 72

Calls

4 calls:

7.0ms	(+ (+ (* x y) (* x z)) (* y z))
7.0ms	(+ (+ (* x y) (* x z)) (* y z))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series282.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (+ (* x y) (* x z)) (* y z))
26.0ms	(+ (+ (* x y) (* x z)) (* y z))
116.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
116.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify107.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	200	618
1	734	550
2	3300	534
3	5001	532

prune313.0ms

Filtered

84 candidates to 68 candidates (81.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Merged error: 20.3b

Counts

91 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (+ (* x y) (* x z)) (* y z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
19.8b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.8b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `*-un-lft-identity`
6×	`cbrt-prod` `sum-log`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `associate-+l+` `pow1/3` `distribute-lft-out`

Counts

4 → 68

Calls

4 calls:

7.0ms	(+ (+ (* x y) (* x z)) (* y z))
7.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series510.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (+ (* x y) (* x z)) (* y z))
22.0ms	(+ (+ (* x y) (* x z)) (* y z))
231.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
234.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify102.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	208	636
1	684	580
2	2983	550
3	5001	548

prune340.0ms

Filtered

80 candidates to 70 candidates (87.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	80	7	87

Merged error: 20.3b

Counts

87 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

19.8b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.8b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.8b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.8b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

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

series926.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
228.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
238.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
232.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify70.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	158	756
1	503	704
2	1925	664
3	5001	660

prune387.0ms

Filtered

72 candidates to 72 candidates (100.0%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	72	7	79

Merged error: 20.3b

Counts

79 → 7

regimes246.0ms

Accuracy

0% (0.1b remaining)

Error of 19.8b against oracle of 19.7b and baseline of 19.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample819.0ms

Algorithm

intervals

Results

253.0ms	8000×	body	80	valid
244.0ms	7885×	body	80	nan