Details

sample9.0ms

Algorithm

intervals

Results

4.0ms

333×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	10	2

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-l`
12×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unswap-sqr`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative`
1×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

7.0ms

(* (* x 3.0) x)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* (* x 3.0) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	127	122
1	478	107
2	2445	101
3	5002	99

prune39.0ms

Filtered

36 candidates to 22 candidates (38.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	6	37

Merged error: 0.0b

Counts

37 → 6

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 3.0 (pow x 2))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`pow1` `associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`expm1-log1p-u` `pow-to-exp` `pow-prod-down` `pow-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

6.0ms

(* 3.0 (pow x 2))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* 3.0 (pow x 2))

simplify69.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	109	110
1	408	95
2	1981	95
3	5002	94

prune37.0ms

Filtered

33 candidates to 19 candidates (42.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	34	5	39

Merged error: 0.0b

Counts

39 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* (cbrt 3.0) (cbrt 3.0)))
0.2b	(* (* x (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) x))
0.3b	(* (cbrt 3.0) x)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

218×	`add-sqr-sqrt`
127×	`unswap-sqr`
88×	`associate-r`
80×	`cbrt-prod`
74×	`associate-l`
73×	`add-cbrt-cube`
68×	`cbrt-unprod`
31×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
22×	`swap-sqr`
19×	`pow-prod-down` `prod-exp`
12×	`*-commutative`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

3 → 213

Calls

3 calls:

13.0ms	(* x (* (cbrt 3.0) (cbrt 3.0)))
34.0ms	(* (* x (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) x))
4.0ms	(* (cbrt 3.0) x)

series212.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(* x (* (cbrt 3.0) (cbrt 3.0)))
90.0ms	(* (* x (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) x))
46.0ms	(* (cbrt 3.0) x)

simplify118.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	704	1844
1	3791	1561
2	5001	1417

prune266.0ms

Filtered

222 candidates to 126 candidates (43.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	219	3	222
Fresh	2	0	2
Picked	1	0	1
Done	0	2	2
Total	222	5	227

Merged error: 0b

Counts

227 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (* (cbrt 3.0) (sqrt (cbrt 3.0))))
0.4b	(* x (pow (sqrt (cbrt 3.0)) 3))
0.4b	(* (* x (* (cbrt 3.0) (sqrt (cbrt 3.0)))) (* x (pow (sqrt (cbrt 3.0)) 3)))
1.0b	(pow (sqrt (cbrt 3.0)) 3)

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

322×	`add-sqr-sqrt`
214×	`unswap-sqr`
125×	`associate-r`
90×	`sqrt-prod`
81×	`cbrt-prod`
65×	`associate-l`
57×	`add-exp-log` `unpow-prod-down`
42×	`add-cbrt-cube`
39×	`prod-exp`
34×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
28×	`cbrt-unprod`
19×	`pow-prod-down`
13×	`sqr-pow`
7×	`*-commutative`
5×	`pow-to-exp` `pow-exp`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow3`
2×	`sqrt-pow1`
1×	`pow1/2` `pow1/3` `sqrt-pow2` `rem-cube-cbrt`

Counts

4 → 273

Calls

4 calls:

14.0ms	(* x (* (cbrt 3.0) (sqrt (cbrt 3.0))))
9.0ms	(* x (pow (sqrt (cbrt 3.0)) 3))
57.0ms	(* (* x (* (cbrt 3.0) (sqrt (cbrt 3.0)))) (* x (pow (sqrt (cbrt 3.0)) 3)))
5.0ms	(pow (sqrt (cbrt 3.0)) 3)

series345.0ms

Counts

4 → 10

Calls

4 calls:

120.0ms	(* x (* (cbrt 3.0) (sqrt (cbrt 3.0))))
126.0ms	(* x (pow (sqrt (cbrt 3.0)) 3))
98.0ms	(* (* x (* (cbrt 3.0) (sqrt (cbrt 3.0)))) (* x (pow (sqrt (cbrt 3.0)) 3)))
0.0ms	(pow (sqrt (cbrt 3.0)) 3)

simplify173.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	874	3237
1	4921	2713
2	5001	2713

prune426.0ms

Filtered

283 candidates to 172 candidates (39.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	282	1	283
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	283	5	288

Merged error: 0b

Counts

288 → 5

regimes32.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample229.0ms

Algorithm

intervals

Results

134.0ms

10669×

body

valid