Details

sample11.0ms

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` `expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

1.0ms

(sqrt (fabs (- x y)))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(sqrt (fabs (- x y)))

simplify91.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 7 (27.0ms)

Iter	Nodes	Cost
0	28	72
1	32	70
2	35	70
3	40	70
4	59	70
5	113	70
6	540	70
7	1779	69
8	5002	69

prune30.0ms

Filtered

18 candidates to 12 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize6.0ms

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))))
0.6b	(* (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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 134

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)))))

series97.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sqrt (fabs (- x y)))
38.0ms	(sqrt (sqrt (fabs (- x y))))
42.0ms	(sqrt (sqrt (fabs (- x y))))
8.0ms	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify145.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 3 (132.0ms)

Iter	Nodes	Cost
0	137	754
1	525	694
2	3007	678
3	5002	663

prune162.0ms

Filtered

146 candidates to 67 candidates (45.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	146	3	149

Merged error: 0.0b

Counts

149 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))))
0.6b	(cbrt (sqrt (fabs (- x y))))
0.6b	(cbrt (sqrt (fabs (- x y))))
0.9b	(pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
51×	`sqrt-prod`
48×	`cbrt-prod`
36×	`unpow-prod-down`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`unswap-sqr`
16×	`associate-l`
10×	`add-exp-log`
9×	`associate-r`
6×	`pow1`
5×	`add-cbrt-cube` `sqr-pow`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow1/3` `prod-exp`
2×	`pow-to-exp` `sqrt-pow1` `pow-exp`
1×	`pow1/2` `*-commutative` `sqrt-pow2` `cbrt-unprod`

Counts

4 → 121

Calls

4 calls:

10.0ms	(* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))))
2.0ms	(cbrt (sqrt (fabs (- x y))))
2.0ms	(cbrt (sqrt (fabs (- x y))))
4.0ms	(pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)

series137.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))))
38.0ms	(cbrt (sqrt (fabs (- x y))))
42.0ms	(cbrt (sqrt (fabs (- x y))))
48.0ms	(pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)

simplify44.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	230	1504
1	858	1326
2	5001	1158

prune246.0ms

Filtered

133 candidates to 79 candidates (59.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	132	4	136

Merged error: 0b

Counts

136 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt (sqrt (fabs (- x y)))))
0.6b	(cbrt (sqrt (sqrt (fabs (- x y)))))
0.9b	(pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)
0.9b	(pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

60×	`sqrt-prod`
36×	`cbrt-prod`
30×	`unpow-prod-down`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`pow1` `pow-pow`
6×	`add-exp-log` `pow-unpow`
4×	`expm1-log1p-u` `sqrt-pow1` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow1/2` `pow-exp` `sqrt-pow2` `sqr-pow`

Counts

4 → 108

Calls

4 calls:

2.0ms	(cbrt (sqrt (sqrt (fabs (- x y)))))
2.0ms	(cbrt (sqrt (sqrt (fabs (- x y)))))
8.0ms	(pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)
5.0ms	(pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)

series206.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(cbrt (sqrt (sqrt (fabs (- x y)))))
51.0ms	(cbrt (sqrt (sqrt (fabs (- x y)))))
63.0ms	(pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)
49.0ms	(pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)

simplify104.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	173	1158
1	492	1030
2	2113	968
3	5001	962

prune279.0ms

Filtered

120 candidates to 70 candidates (58.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	120	4	124

Merged error: 0b

Counts

124 → 4

regimes104.0ms

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

sample252.0ms

Algorithm

intervals

Results

130.0ms

8000×

body

valid