Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

271×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	40	5
2	80	5
3	174	5
4	369	5
5	503	5
6	769	5
7	1191	5
8	1451	5
9	1606	5
10	1606	5

prune2.0ms

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: 0.3b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
7.6b	(/ x (* (- y z) (- y t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
48×	`times-frac`
33×	`add-cube-cbrt`
25×	`associate-r` `associate-l`
16×	`associate-/r*`
12×	`flip3--` `flip--`
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` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv`

Counts

2 → 123

Calls

2 calls:

9.0ms	(* (- y z) (- y t))
13.0ms	(/ x (* (- y z) (- y t)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- y z) (- y t))
66.0ms	(/ x (* (- y z) (- y t)))

simplify73.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	467	909
1	2053	866
2	5001	866

prune358.0ms

Filtered

129 candidates to 93 candidates (72.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	125	4	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	125	5	130

Merged error: 0b

Counts

130 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
1.7b	(/ (/ x (- y z)) (- y t))

rewrite31.0ms

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` `add-log-exp`

Counts

2 → 195

Calls

2 calls:

6.0ms	(/ x (- y z))
13.0ms	(/ (/ x (- y z)) (- y t))

series94.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ x (- y z))
64.0ms	(/ (/ x (- y z)) (- y t))

simplify76.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	655	1776
1	2388	1732
2	5001	1732

prune500.0ms

Filtered

201 candidates to 135 candidates (67.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	199	2	201
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	201	5	206

Merged error: 0b

Counts

206 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y z))
0.1b	(/ (/ 1 (- y z)) (- y t))
7.3b	(* x (/ (/ 1 (- y z)) (- y t)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

410×	`times-frac`
355×	`add-sqr-sqrt`
346×	`*-un-lft-identity`
171×	`add-cube-cbrt`
111×	`associate-r`
86×	`distribute-lft-out--` `difference-of-squares`
54×	`associate-/l*`
40×	`associate-*r/`
31×	`add-exp-log`
30×	`associate-/r/`
25×	`associate-/r*` `associate-/l/`
19×	`add-cbrt-cube`
16×	`div-inv`
15×	`flip3--` `flip--`
14×	`div-exp`
7×	`cbrt-undiv` `clear-num`
6×	`pow1` `un-div-inv`
5×	`frac-2neg` `prod-exp`
4×	`unswap-sqr`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod` `add-log-exp`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

3 → 382

Calls

3 calls:

5.0ms	(/ 1 (- y z))
13.0ms	(/ (/ 1 (- y z)) (- y t))
42.0ms	(* x (/ (/ 1 (- y z)) (- y t)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 1 (- y z))
68.0ms	(/ (/ 1 (- y z)) (- y t))
57.0ms	(* x (/ (/ 1 (- y z)) (- y t)))

simplify113.0ms

Algorithm

egg-herbie

Counts

391 → 391

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	999	2921
1	4546	2666
2	5001	2404

prune897.0ms

Filtered

391 candidates to 197 candidates (50.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	391	0	391
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	391	5	396

Merged error: 0b

Counts

396 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y t))
0.0b	(/ x (- y z))
1.8b	(* (/ x (- y z)) (/ 1 (- y t)))

rewrite51.0ms

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×	`rec-exp` `1-exp` `un-div-inv` `add-log-exp`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

3 → 293

Calls

3 calls:

6.0ms	(/ 1 (- y t))
5.0ms	(/ x (- y z))
25.0ms	(* (/ x (- y z)) (/ 1 (- y t)))

series135.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1 (- y t))
29.0ms	(/ x (- y z))
68.0ms	(* (/ x (- y z)) (/ 1 (- y t)))

simplify112.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	987	1975
1	4493	1816
2	5002	1706

prune497.0ms

Filtered

302 candidates to 149 candidates (49.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	302	0	302
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	302	5	307

Merged error: 0b

Counts

307 → 5

regimes153.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample480.0ms

Algorithm

intervals

Results

249.0ms

8486×

body

valid