Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

293×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	4
1	9	4
2	9	4

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (fabs (- x y)) (fabs y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

3.0ms

(/ (fabs (- x y)) (fabs y))

series8.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(/ (fabs (- x y)) (fabs y))

simplify90.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	86	226
1	235	208
2	598	208
3	1534	208
4	4378	208
5	5002	208

prune61.0ms

Filtered

30 candidates to 22 candidates (73.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0b

Counts

31 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (fabs (- x y)) (/ 1 (fabs y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`times-frac`
10×	`add-exp-log` `*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`add-cbrt-cube`
4×	`prod-exp`
3×	`pow1` `associate-l` `unswap-sqr`
2×	`div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 36

Calls

1 calls:

7.0ms

(* (fabs (- x y)) (/ 1 (fabs y)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (fabs (- x y)) (/ 1 (fabs y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	179	277
1	728	235
2	2576	217
3	4885	217
4	5001	217

prune55.0ms

Filtered

39 candidates to 23 candidates (59.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	39	4	43

Merged error: 0b

Counts

43 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ 1 (sqrt (fabs y)))
0.3b	(* (/ 1 (sqrt (fabs y))) (/ (fabs (- x y)) (sqrt (fabs y))))
0.4b	(/ (fabs (- x y)) (sqrt (fabs y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

105×	`add-sqr-sqrt`
94×	`times-frac`
65×	`*-un-lft-identity`
59×	`add-cube-cbrt`
53×	`sqrt-prod`
31×	`add-exp-log`
22×	`associate-r` `associate-l`
19×	`add-cbrt-cube`
15×	`unswap-sqr`
12×	`associate-/r*`
11×	`div-exp`
8×	`prod-exp`
7×	`pow1`
6×	`cbrt-undiv` `associate-/l*`
4×	`cbrt-unprod` `div-inv`
3×	`rec-exp` `pow-flip` `1-exp` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

3 → 167

Calls

3 calls:

4.0ms	(/ 1 (sqrt (fabs y)))
18.0ms	(* (/ 1 (sqrt (fabs y))) (/ (fabs (- x y)) (sqrt (fabs y))))
4.0ms	(/ (fabs (- x y)) (sqrt (fabs y)))

series43.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ 1 (sqrt (fabs y)))
7.0ms	(* (/ 1 (sqrt (fabs y))) (/ (fabs (- x y)) (sqrt (fabs y))))
18.0ms	(/ (fabs (- x y)) (sqrt (fabs y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	443	1806
1	2225	1591
2	5001	1461

prune240.0ms

Filtered

176 candidates to 92 candidates (52.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	176	4	180

Merged error: 0b

Counts

180 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (fabs (- x y)) (fabs y))
0.2b	(pow (/ (fabs (- x y)) (fabs y)) 3)
16.4b	(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
41×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`cbrt-prod`
26×	`unpow-prod-down` `cube-prod`
8×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`pow1`
3×	`pow-unpow` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `rem-cbrt-cube`

Counts

3 → 115

Calls

3 calls:

3.0ms	(/ (fabs (- x y)) (fabs y))
4.0ms	(pow (/ (fabs (- x y)) (fabs y)) 3)
5.0ms	(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

series41.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ (fabs (- x y)) (fabs y))
27.0ms	(pow (/ (fabs (- x y)) (fabs y)) 3)
7.0ms	(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

simplify45.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	317	1061
1	1463	978
2	5002	970

prune152.0ms

Filtered

124 candidates to 59 candidates (47.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	124	4	128

Merged error: 0b

Counts

128 → 4

regimes54.0ms

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	6	4

end0.0ms

sample306.0ms

Algorithm

intervals

Results

166.0ms

9129×

body

valid