Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

287×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

3.0ms

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

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify90.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	88	236
1	237	218
2	600	218
3	1536	218
4	4404	218
5	5002	218

prune62.0ms

Filtered

32 candidates to 24 candidates (75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Merged error: 0b

Counts

33 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (- x y)))
0.2b	(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
0.2b	(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
0.3b	(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

332×	`add-sqr-sqrt`
327×	`sqrt-prod`
312×	`times-frac`
177×	`add-cube-cbrt` `*-un-lft-identity`
68×	`swap-sqr`
40×	`associate-r` `associate-l`
25×	`unswap-sqr`
20×	`add-exp-log` `add-cbrt-cube`
12×	`pow1` `associate-/r` `associate-/l`
6×	`cbrt-undiv` `sqrt-undiv` `div-exp` `div-inv`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`pow2` `frac-times` `rem-sqrt-square` `sqrt-pow1` `pow-plus` `pow1/2` `sqrt-unprod` `associate-r/` `pow-prod-down` `associate-l/` `rem-square-sqrt` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 342

Calls

4 calls:

1.0ms	(sqrt (fabs (- x y)))
5.0ms	(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
5.0ms	(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
39.0ms	(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series52.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sqrt (fabs (- x y)))
15.0ms	(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
21.0ms	(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
7.0ms	(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify104.0ms

Algorithm

egg-herbie

Counts

354 → 354

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	639	5988
1	3437	5380
2	5001	5313

prune481.0ms

Filtered

354 candidates to 159 candidates (44.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	354	0	354
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	354	3	357

Merged error: 0b

Counts

357 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (fabs (- x y)) (fabs y))
0.2b	(pow (/ (fabs (- x y)) (fabs y)) 3)
15.9b	(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×	`expm1-log1p-u` `pow-unpow` `associate-/r` `log1p-expm1-u` `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 → 121

Calls

3 calls:

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

series44.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ (fabs (- x y)) (fabs y))
30.0ms	(pow (/ (fabs (- x y)) (fabs y)) 3)
7.0ms	(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

simplify47.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	323	1093
1	1469	1010
2	5002	1002

prune174.0ms

Filtered

130 candidates to 66 candidates (50.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	130	3	133

Merged error: 0b

Counts

133 → 3

regimes50.0ms

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

sample298.0ms

Algorithm

intervals

Results

162.0ms

9133×

body

valid