Details

sample39.0ms

Algorithm

intervals

Results

13.0ms	316×	body	80	nan
9.0ms	256×	body	80	valid

simplify19.0ms

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: 18.7b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.8b	(+ (* x y) (* x z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
17.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
52×	`distribute-lft-out`
45×	`associate-l`
24×	`fma-def`
20×	`add-sqr-sqrt`
13×	`sqrt-prod`
12×	`add-cube-cbrt`
10×	`add-log-exp`
7×	`associate-r`
5×	`*-commutative`
4×	`pow1` `sum-log`
3×	`add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`associate-+l+` `distribute-rgt-out` `sqrt-div` `hypot-def` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

3 → 101

Calls

3 calls:

15.0ms	(+ (* x y) (* x z))
30.0ms	(+ (+ (* x y) (* x z)) (* y z))
27.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series195.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (* x y) (* x z))
29.0ms	(+ (+ (* x y) (* x z)) (* y z))
128.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify159.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 3 (150.0ms)

Iter	Nodes	Cost
0	282	511
1	976	462
2	4137	454
3	5001	453

prune208.0ms

Filtered

110 candidates to 69 candidates (62.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	102	8	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	9	111

Merged error: 17.8b

Counts

111 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (+ (* x y) (* x z)) (* y z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
17.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

140×	`*-un-lft-identity`
88×	`distribute-lft-out`
68×	`associate-l`
26×	`sqrt-prod`
24×	`add-sqr-sqrt` `fma-def`
14×	`add-log-exp`
12×	`add-cube-cbrt`
6×	`pow1` `sum-log`
4×	`add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+l+` `flip3-+` `sqrt-div` `associate-r` `*-commutative` `add-cbrt-cube` `flip-+` `hypot-def` `log1p-expm1-u`
2×	`rem-sqrt-square` `distribute-rgt-out` `sqrt-pow1` `pow1/2` `unswap-sqr`

Counts

4 → 134

Calls

4 calls:

26.0ms	(+ (+ (* x y) (* x z)) (* y z))
26.0ms	(+ (+ (* x y) (* x z)) (* y z))
29.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
27.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series314.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (+ (* x y) (* x z)) (* y z))
32.0ms	(+ (+ (* x y) (* x z)) (* y z))
126.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
131.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify134.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	198	842
1	692	754
2	3121	740
3	5001	738

prune333.0ms

Filtered

146 candidates to 82 candidates (56.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	146	9	155

Merged error: 17.8b

Counts

155 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

120×	`*-un-lft-identity`
72×	`distribute-lft-out`
52×	`associate-l` `sqrt-prod`
32×	`add-sqr-sqrt`
8×	`pow1` `add-cube-cbrt` `sqrt-div` `hypot-def`
4×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

26.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
27.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
29.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
26.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series525.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
135.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
129.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
131.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify100.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	145	1004
1	484	948
2	1872	936
3	5002	936

prune355.0ms

Filtered

128 candidates to 76 candidates (59.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	128	9	137

Merged error: 17.8b

Counts

137 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (+ (* x y) (* x z)) (* y z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
18.3b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
18.3b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

30.0ms	(+ (+ (* x y) (* x z)) (* y z))
26.0ms	(+ (+ (* x y) (* x z)) (* y z))
24.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
28.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series558.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (+ (* x y) (* x z)) (* y z))
24.0ms	(+ (+ (* x y) (* x z)) (* y z))
259.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
251.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify124.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	206	860
1	642	784
2	2804	756
3	5001	754

prune300.0ms

Filtered

138 candidates to 80 candidates (58.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	1	4	5
Picked	1	0	1
Done	0	3	3
Total	138	9	147

Merged error: 17.8b

Counts

147 → 9

regimes278.0ms

Accuracy

0% (1.5b remaining)

Error of 19.7b against oracle of 18.2b and baseline of 19.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample901.0ms

Algorithm

intervals

Results

279.0ms	8000×	body	80	valid
273.0ms	8121×	body	80	nan