Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

310×

body

valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	28	3
3	40	3
4	50	3
5	73	3
6	102	3
7	118	3
8	145	3
9	174	3
10	190	3
11	190	3

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) z)
0.0b	(+ x (/ (- y x) z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 51

Calls

2 calls:

6.0ms	(/ (- y x) z)
8.0ms	(+ x (/ (- y x) z))

series51.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (- y x) z)
22.0ms	(+ x (/ (- y x) z))

simplify60.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	221	273
1	676	261
2	2904	261
3	5002	261

prune86.0ms

Filtered

57 candidates to 40 candidates (70.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	4	58

Merged error: 0b

Counts

58 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (/ z (- y x))))
0.0b	(/ z (- y x))
0.4b	(/ 1 (/ z (- y x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
106×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`div-inv`
6×	`associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

3 → 158

Calls

3 calls:

19.0ms	(+ x (/ 1 (/ z (- y x))))
8.0ms	(/ z (- y x))
9.0ms	(/ 1 (/ z (- y x)))

series113.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (/ 1 (/ z (- y x))))
50.0ms	(/ z (- y x))
37.0ms	(/ 1 (/ z (- y x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	493	1143
1	2183	918
2	5001	903

prune194.0ms

Filtered

167 candidates to 84 candidates (50.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	167	4	171

Merged error: 0b

Counts

171 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (/ 1 z) (/ 1 (- y x))))
0.0b	(/ 1 (- y x))
0.4b	(/ (/ 1 z) (/ 1 (- y x)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
387×	`*-un-lft-identity`
385×	`add-sqr-sqrt`
293×	`add-cube-cbrt`
47×	`add-exp-log`
46×	`distribute-lft-out--` `difference-of-squares`
38×	`div-inv`
34×	`div-exp`
31×	`associate-/r/`
26×	`associate-/r*`
17×	`add-cbrt-cube`
16×	`associate-/l*`
15×	`flip3--` `flip--`
9×	`cbrt-undiv` `rec-exp` `1-exp`
5×	`add-log-exp`
4×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `distribute-lft-out` `inv-pow`

Counts

3 → 392

Calls

3 calls:

63.0ms	(+ x (/ (/ 1 z) (/ 1 (- y x))))
6.0ms	(/ 1 (- y x))
16.0ms	(/ (/ 1 z) (/ 1 (- y x)))

series92.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ x (/ (/ 1 z) (/ 1 (- y x))))
40.0ms	(/ 1 (- y x))
32.0ms	(/ (/ 1 z) (/ 1 (- y x)))

simplify75.0ms

Algorithm

egg-herbie

Counts

401 → 401

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1608	4223
1	5001	3648

prune432.0ms

Filtered

401 candidates to 168 candidates (41.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	401	0	401
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	401	4	405

Merged error: 0b

Counts

405 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series745.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt z) (cbrt z))
175.0ms	(cbrt z)
178.0ms	(cbrt z)
182.0ms	(cbrt z)

simplify90.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune187.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	85	4	89

Merged error: 0b

Counts

89 → 4

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample408.0ms

Algorithm

intervals

Results

201.0ms

10061×

body

valid