Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

293×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

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

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:

5.0ms

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

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(/ (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

prune64.0ms

Filtered

32 candidates to 24 candidates (75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	4	33

Merged error: 0b

Counts

33 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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` `expm1-log1p-u` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 38

Calls

1 calls:

7.0ms

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

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify74.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	181	289
1	730	247
2	2578	229
3	4915	229
4	5001	229

prune58.0ms

Filtered

41 candidates to 25 candidates (61.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	41	4	45

Merged error: 0b

Counts

45 → 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)))

rewrite33.0ms

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×	`expm1-log1p-u` `rec-exp` `pow-flip` `1-exp` `log1p-expm1-u` `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 → 173

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)))

series41.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(/ 1 (sqrt (fabs y)))
7.0ms	(* (/ 1 (sqrt (fabs y))) (/ (fabs (- x y)) (sqrt (fabs y))))
17.0ms	(/ (fabs (- x y)) (sqrt (fabs y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	449	1846
1	2231	1631
2	5001	1501

prune251.0ms

Filtered

182 candidates to 98 candidates (53.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	182	4	186

Merged error: 0b

Counts

186 → 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×	`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))
4.0ms	(pow (/ (fabs (- x y)) (fabs y)) 3)
5.0ms	(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

series43.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(/ (fabs (- x y)) (fabs y))
26.0ms	(pow (/ (fabs (- x y)) (fabs y)) 3)
7.0ms	(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (35.0ms)

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

prune168.0ms

Filtered

130 candidates to 65 candidates (50.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	130	4	134

Merged error: 0b

Counts

134 → 4

regimes57.0ms

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

sample313.0ms

Algorithm

intervals

Results

170.0ms

9129×

body

valid