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)))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(sqrt (fabs (- x y)))

simplify96.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 7 (29.0ms)

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

prune35.0ms

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

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×	`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))))
10.0ms	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

series101.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sqrt (fabs (- x y)))
40.0ms	(sqrt (sqrt (fabs (- x y))))
44.0ms	(sqrt (sqrt (fabs (- x y))))
9.0ms	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify146.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 3 (136.0ms)

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

prune189.0ms

Filtered

146 candidates to 66 candidates (45.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	146	3	149

Merged error: 0b

Counts

149 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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-l` `unswap-sqr`
11×	`pow1`
9×	`associate-r`
8×	`sqrt-pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube` `sqr-pow`
5×	`pow-pow`
4×	`expm1-log1p-u` `pow1/2` `log1p-expm1-u` `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 → 174

Calls

4 calls:

2.0ms	(sqrt (sqrt (fabs (- x y))))
16.0ms	(* (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (sqrt (sqrt (fabs (- x y)))))
4.0ms	(cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3))
4.0ms	(pow (sqrt (sqrt (fabs (- x y)))) 3)

series151.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(sqrt (sqrt (fabs (- x y))))
9.0ms	(* (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (sqrt (sqrt (fabs (- x y)))))
43.0ms	(cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3))
55.0ms	(pow (sqrt (sqrt (fabs (- x y)))) 3)

simplify51.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	259	1723
1	1099	1267
2	5001	1180

prune257.0ms

Filtered

186 candidates to 80 candidates (43.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	186	3	189

Merged error: 0b

Counts

189 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (sqrt (fabs (- x y)))))
0.1b	(sqrt (sqrt (sqrt (fabs (- x y)))))
0.4b	(* (sqrt (sqrt (sqrt (fabs (- x y))))) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3))
0.7b	(pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

240×	`sqrt-prod`
114×	`add-sqr-sqrt`
40×	`unpow-prod-down` `cube-prod` `unswap-sqr`
32×	`add-cube-cbrt` `*-un-lft-identity`
30×	`associate-r`
27×	`sqrt-pow1`
15×	`pow1`
12×	`associate-l`
10×	`add-exp-log`
9×	`pow1/2`
7×	`pow-pow` `add-cbrt-cube`
6×	`rem-sqrt-square` `sqr-pow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp`
1×	`*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 201

Calls

4 calls:

3.0ms	(sqrt (sqrt (sqrt (fabs (- x y)))))
3.0ms	(sqrt (sqrt (sqrt (fabs (- x y)))))
19.0ms	(* (sqrt (sqrt (sqrt (fabs (- x y))))) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3))
5.0ms	(pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3)

series149.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sqrt (sqrt (sqrt (fabs (- x y)))))
42.0ms	(sqrt (sqrt (sqrt (fabs (- x y)))))
9.0ms	(* (sqrt (sqrt (sqrt (fabs (- x y))))) (pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3))
59.0ms	(pow (sqrt (sqrt (sqrt (fabs (- x y))))) 3)

simplify64.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	280	2600
1	1315	1749
2	5001	1555

prune291.0ms

Filtered

213 candidates to 83 candidates (39.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	213	3	216

Merged error: 0b

Counts

216 → 3

regimes87.0ms

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

sample260.0ms

Algorithm

intervals

Results

136.0ms

8000×

body

valid