Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

288×

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

localize5.0ms

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:

8.0ms

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

simplify88.0ms

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

prune66.0ms

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 2 expressions with local error:

0.0b	(/ (fabs y) (fabs (- x y)))
0.1b	(/ 1 (/ (fabs y) (fabs (- x y))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 103

Calls

2 calls:

3.0ms	(/ (fabs y) (fabs (- x y)))
6.0ms	(/ 1 (/ (fabs y) (fabs (- x y))))

series15.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ (fabs y) (fabs (- x y)))
7.0ms	(/ 1 (/ (fabs y) (fabs (- x y))))

simplify63.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	310	1036
1	1321	930
2	4673	856
3	5002	856

prune162.0ms

Filtered

109 candidates to 57 candidates (52.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	110	3	113

Merged error: 0b

Counts

113 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fabs (- x y)) (fabs y))
0.1b	(sqrt (/ (fabs (- x y)) (fabs y)))
0.1b	(sqrt (/ (fabs (- x y)) (fabs y)))
0.2b	(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt` `sqrt-prod`
71×	`times-frac`
58×	`add-cube-cbrt` `*-un-lft-identity`
21×	`pow1`
18×	`swap-sqr`
16×	`associate-r` `associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`unswap-sqr`
8×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv`
6×	`sqrt-div`
5×	`pow-prod-up`
4×	`rem-sqrt-square` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `pow-sqr` `associate-/l`
1×	`cbrt-undiv` `pow2` `frac-times` `frac-2neg` `pow-plus` `sqrt-unprod` `associate-r/` `div-exp` `associate-l/` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 164

Calls

4 calls:

3.0ms	(/ (fabs (- x y)) (fabs y))
3.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
3.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
12.0ms	(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

series50.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ (fabs (- x y)) (fabs y))
20.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
16.0ms	(sqrt (/ (fabs (- x y)) (fabs y)))
7.0ms	(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify53.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	235	1571
1	1146	1450
2	5001	1416

prune381.0ms

Filtered

176 candidates to 114 candidates (64.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	176	3	179

Merged error: 0b

Counts

179 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fabs y) (fabs (- x y)))
0.1b	(pow (/ (fabs y) (fabs (- x y))) 3)
0.1b	(/ 1 (cbrt (pow (/ (fabs y) (fabs (- x y))) 3)))
14.0b	(cbrt (pow (/ (fabs y) (fabs (- x y))) 3))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

222×	`times-frac`
160×	`cbrt-prod`
142×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
78×	`unpow-prod-down` `cube-prod`
38×	`associate-/r*`
14×	`div-inv`
13×	`add-exp-log`
10×	`add-cbrt-cube`
6×	`pow1` `cube-mult` `unpow3` `associate-/l*` `sqr-pow`
4×	`div-exp` `add-log-exp`
3×	`cbrt-undiv` `cube-div` `pow-unpow`
2×	`cbrt-div` `pow-flip` `frac-2neg` `pow1/3` `pow-exp` `clear-num` `rem-cube-cbrt`
1×	`pow-to-exp` `rec-exp` `pow-pow` `1-exp` `associate-/r/` `rem-cbrt-cube` `inv-pow`

Counts

4 → 276

Calls

4 calls:

3.0ms	(/ (fabs y) (fabs (- x y)))
5.0ms	(pow (/ (fabs y) (fabs (- x y))) 3)
11.0ms	(/ 1 (cbrt (pow (/ (fabs y) (fabs (- x y))) 3)))
7.0ms	(cbrt (pow (/ (fabs y) (fabs (- x y))) 3))

series57.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/ (fabs y) (fabs (- x y)))
33.0ms	(pow (/ (fabs y) (fabs (- x y))) 3)
7.0ms	(/ 1 (cbrt (pow (/ (fabs y) (fabs (- x y))) 3)))
9.0ms	(cbrt (pow (/ (fabs y) (fabs (- x y))) 3))

simplify77.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	503	3197
1	2312	2595
2	5003	2570

prune338.0ms

Filtered

288 candidates to 106 candidates (36.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	288	0	288
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	288	3	291

Merged error: 0b

Counts

291 → 3

regimes49.0ms

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

sample307.0ms

Algorithm

intervals

Results

167.0ms

9130×

body

valid