Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	3
1	8	3
2	8	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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
1×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `add-log-exp`

Counts

1 → 13

Calls

1 calls:

1.0ms

(sqrt (fabs (- x y)))

series10.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(sqrt (fabs (- x y)))

simplify93.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 7 (27.0ms)

Iter	Nodes	Cost
0	26	64
1	30	62
2	33	62
3	38	62
4	57	62
5	111	62
6	538	62
7	1770	61
8	5001	61

prune31.0ms

Filtered

16 candidates to 10 candidates (62.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	3	17

Merged error: 0.0b

Counts

17 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (- x y)))
0.1b	(sqrt (sqrt (fabs (- x y))))
0.1b	(sqrt (sqrt (fabs (- x y))))
0.5b	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

89×	`sqrt-prod`
56×	`add-sqr-sqrt`
41×	`sqrt-pow1`
32×	`pow1`
21×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
15×	`swap-sqr`
9×	`associate-r` `associate-l` `pow-prod-up` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`rem-sqrt-square` `pow-prod-down` `pow-sqr`
4×	`add-log-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 126

Calls

4 calls:

1.0ms	(sqrt (fabs (- x y)))
2.0ms	(sqrt (sqrt (fabs (- x y))))
2.0ms	(sqrt (sqrt (fabs (- x y))))
9.0ms	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

series99.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sqrt (fabs (- x y)))
39.0ms	(sqrt (sqrt (fabs (- x y))))
42.0ms	(sqrt (sqrt (fabs (- x y))))
9.0ms	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify142.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 3 (133.0ms)

Iter	Nodes	Cost
0	131	718
1	513	658
2	2953	642
3	5002	627

prune168.0ms

Filtered

138 candidates to 58 candidates (42.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	138	3	141

Merged error: 0b

Counts

141 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (fabs (- x y))))
0.5b	(* (sqrt (sqrt (fabs (- x y)))) (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)))
0.6b	(cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3))
0.8b	(pow (sqrt (sqrt (fabs (- x y)))) 3)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

118×	`sqrt-prod`
84×	`add-sqr-sqrt`
72×	`cbrt-prod`
36×	`unpow-prod-down` `cube-prod`
31×	`add-cube-cbrt` `*-un-lft-identity`
27×	`associate-r` `unswap-sqr`
11×	`pow1`
9×	`associate-l`
8×	`sqrt-pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube` `sqr-pow`
5×	`pow-pow`
4×	`pow1/2` `add-log-exp`
3×	`cube-mult` `pow-unpow` `unpow3`
2×	`rem-sqrt-square`
1×	`pow-to-exp` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `sqrt-pow2` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 166

Calls

4 calls:

2.0ms	(sqrt (sqrt (fabs (- x y))))
14.0ms	(* (sqrt (sqrt (fabs (- x y)))) (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)))
4.0ms	(cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3))
4.0ms	(pow (sqrt (sqrt (fabs (- x y)))) 3)

series150.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sqrt (sqrt (fabs (- x y))))
11.0ms	(* (sqrt (sqrt (fabs (- x y)))) (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)))
40.0ms	(cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3))
59.0ms	(pow (sqrt (sqrt (fabs (- x y)))) 3)

simplify50.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	257	1674
1	1081	1229
2	5001	1219

prune241.0ms

Filtered

178 candidates to 72 candidates (40.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	178	3	181

Merged error: 0b

Counts

181 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3) (sqrt (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3))))
0.6b	(cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3))
0.7b	(pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3)
0.8b	(pow (sqrt (sqrt (fabs (- x y)))) 3)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

423×	`sqrt-prod`
225×	`add-sqr-sqrt`
128×	`cbrt-prod`
121×	`unpow-prod-down` `cube-prod`
100×	`unswap-sqr`
45×	`add-cube-cbrt` `*-un-lft-identity`
30×	`associate-r` `associate-l`
25×	`sqr-pow`
13×	`sqrt-pow1`
12×	`pow-pow`
11×	`pow1` `add-exp-log`
8×	`add-cbrt-cube`
6×	`pow-unpow`
5×	`cube-mult` `pow1/2` `unpow3`
4×	`add-log-exp`
3×	`pow-to-exp` `pow-exp` `prod-exp`
2×	`sqrt-pow2` `rem-cube-cbrt`
1×	`pow1/3` `*-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 293

Calls

4 calls:

27.0ms	(* (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3) (sqrt (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3))))
5.0ms	(cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3))
5.0ms	(pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3)
4.0ms	(pow (sqrt (sqrt (fabs (- x y)))) 3)

series165.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3) (sqrt (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3))))
42.0ms	(cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3))
59.0ms	(pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3)
55.0ms	(pow (sqrt (sqrt (fabs (- x y)))) 3)

simplify94.0ms

Algorithm

egg-herbie

Counts

305 → 305

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	423	5200
1	1923	3209
2	5001	2681

prune344.0ms

Filtered

305 candidates to 88 candidates (28.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	305	0	305
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	305	3	308

Merged error: 0b

Counts

308 → 3

regimes96.0ms

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	5	3

end0.0ms

sample242.0ms

Algorithm

intervals

Results

126.0ms

8000×

body

valid