Details

sample42.0ms

Algorithm

intervals

Results

13.0ms	306×	body	80	nan
12.0ms	256×	body	80	valid

simplify17.0ms

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

prune4.0ms

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: 17.4b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ (* x y) (* x z))
0.6b	(+ (+ (* x y) (* x z)) (* y z))
16.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite18.0ms

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

series189.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (* x y) (* x z))
24.0ms	(+ (+ (* x y) (* x z)) (* y z))
129.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify147.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (140.0ms)

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

prune182.0ms

Filtered

60 candidates to 48 candidates (80.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	55	5	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	6	61

Merged error: 17.3b

Counts

61 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (+ (* x y) (* x z)) (* y z))
0.6b	(+ (+ (* x y) (* x z)) (* y z))
16.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.4b	(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)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (+ (* x y) (* x z)) (* y z))
30.0ms	(+ (+ (* x y) (* x z)) (* y z))
125.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
124.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify118.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (109.0ms)

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

prune316.0ms

Filtered

84 candidates to 68 candidates (81.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	83	7	90

Merged error: 17.3b

Counts

90 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (+ (* x y) (* x z)) (* y z))
16.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
17.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

12.0ms	(+ (+ (* x y) (* x z)) (* y z))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
6.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
6.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series647.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (+ (* x y) (* x z)) (* y z))
121.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
253.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
243.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify123.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	274	688
1	888	628
2	3686	600
3	5001	599

prune412.0ms

Filtered

78 candidates to 70 candidates (89.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	76	9	85

Merged error: 17.3b

Counts

85 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (+ (* x y) (* x z)) (* y z))
0.6b	(+ (+ (* x y) (* x z)) (* y z))
17.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
17.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite32.0ms

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

series534.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (+ (* x y) (* x z)) (* y z))
24.0ms	(+ (+ (* x y) (* x z)) (* y z))
245.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
241.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify112.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (96.0ms)

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

prune318.0ms

Filtered

80 candidates to 70 candidates (87.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	4	3	7
Picked	1	0	1
Done	0	1	1
Total	81	8	89

Merged error: 17.3b

Counts

89 → 8

regimes286.0ms

Accuracy

0% (0.1b remaining)

Error of 20.0b against oracle of 19.9b and baseline of 20.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

364.0ms	8068×	body	80	nan
362.0ms	8000×	body	80	valid