Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

268×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	40	5
2	84	5
3	200	5
4	463	5
5	708	5
6	1261	5
7	1854	5
8	2446	5
9	2811	5
10	2813	5
11	2813	5

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.6b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
7.7b	(/ x (* (- y z) (- y t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
48×	`times-frac`
45×	`add-cube-cbrt`
25×	`associate-r` `associate-l`
18×	`prod-diff`
16×	`associate-/r*`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
5×	`*-commutative` `unswap-sqr`
4×	`pow1` `associate-r/` `associate-l/`
3×	`associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv`

Counts

2 → 145

Calls

2 calls:

10.0ms	(* (- y z) (- y t))
12.0ms	(/ x (* (- y z) (- y t)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (- y z) (- y t))
62.0ms	(/ x (* (- y z) (- y t)))

simplify70.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	549	1209
1	2490	1040
2	5002	1040

prune236.0ms

Filtered

151 candidates to 99 candidates (34.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	147	4	151
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	147	5	152

Merged error: 0b

Counts

152 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
2.0b	(/ (/ x (- y z)) (- y t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
180×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
45×	`distribute-lft-out--` `difference-of-squares`
27×	`associate-/l*`
16×	`associate-/r/`
15×	`associate-/r*`
11×	`associate-/l/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`frac-2neg` `clear-num`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

2 → 199

Calls

2 calls:

5.0ms	(/ x (- y z))
16.0ms	(/ (/ x (- y z)) (- y t))

series92.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ x (- y z))
63.0ms	(/ (/ x (- y z)) (- y t))

simplify73.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	660	1792
1	2400	1748
2	5001	1748

prune344.0ms

Filtered

205 candidates to 139 candidates (32.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	203	2	205
Fresh	2	1	3
Picked	1	0	1
Done	1	0	1
Total	207	3	210

Merged error: 0b

Counts

210 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) x)
1.2b	(/ 1 (/ (- y z) x))
2.0b	(/ (/ 1 (/ (- y z) x)) (- y t))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

1129×	`times-frac`
763×	`*-un-lft-identity`
760×	`add-sqr-sqrt`
450×	`add-cube-cbrt`
156×	`distribute-lft-out--`
155×	`difference-of-squares`
122×	`associate-/l*`
93×	`associate-/r/`
67×	`associate-/r*`
41×	`associate-/l/`
35×	`add-exp-log`
32×	`div-inv`
22×	`div-exp`
19×	`add-cbrt-cube`
12×	`clear-num`
11×	`frac-2neg`
10×	`cbrt-undiv`
9×	`flip3--` `flip--`
4×	`pow1` `rec-exp` `1-exp`
3×	`expm1-log1p-u` `log1p-expm1-u` `remove-double-div` `add-log-exp`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

3 → 655

Calls

3 calls:

7.0ms	(/ (- y z) x)
10.0ms	(/ 1 (/ (- y z) x))
33.0ms	(/ (/ 1 (/ (- y z) x)) (- y t))

series231.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (- y z) x)
67.0ms	(/ 1 (/ (- y z) x))
133.0ms	(/ (/ 1 (/ (- y z) x)) (- y t))

simplify120.0ms

Algorithm

egg-herbie

Counts

664 → 664

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	2076	7313
1	5001	6718

prune847.0ms

Filtered

664 candidates to 324 candidates (51.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	664	0	664
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	664	3	667

Merged error: 0b

Counts

667 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- y z))
0.0b	(/ 1 (- y t))
2.0b	(* (/ 1 (- y t)) (/ x (- y z)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

182×	`add-sqr-sqrt`
168×	`*-un-lft-identity`
130×	`associate-/r*`
121×	`frac-times`
89×	`add-cube-cbrt`
79×	`associate-/l*`
67×	`times-frac`
38×	`distribute-lft-out--` `difference-of-squares`
31×	`add-exp-log`
27×	`clear-num`
26×	`frac-2neg`
21×	`associate-r` `associate-l`
19×	`add-cbrt-cube`
11×	`associate-r/` `div-exp` `associate-l/`
8×	`prod-exp` `associate-/r/`
6×	`pow1` `cbrt-undiv` `unswap-sqr`
4×	`flip3--` `flip--` `cbrt-unprod` `div-inv`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
2×	`un-div-inv`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

3 → 298

Calls

3 calls:

5.0ms	(/ x (- y z))
6.0ms	(/ 1 (- y t))
27.0ms	(* (/ 1 (- y t)) (/ x (- y z)))

series225.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ x (- y z))
41.0ms	(/ 1 (- y t))
155.0ms	(* (/ 1 (- y t)) (/ x (- y z)))

simplify114.0ms

Algorithm

egg-herbie

Counts

307 → 307

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	1010	2000
1	4755	1841
2	5002	1741

prune360.0ms

Filtered

307 candidates to 157 candidates (48.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	307	0	307
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	307	3	310

Merged error: 0b

Counts

310 → 3

regimes69.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample444.0ms

Algorithm

intervals

Results

242.0ms

8408×

body

valid