Details

sample10.0ms

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

prune1.0ms

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×	`add-log-exp`

Counts

1 → 31

Calls

1 calls:

7.0ms

(* (* x 3.0) x)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* (* x 3.0) x)

simplify59.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	125	116
1	476	101
2	2442	95
3	5001	93

prune39.0ms

Filtered

34 candidates to 20 candidates (41.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	29	5	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	6	35

Merged error: 0.0b

Counts

35 → 6

localize4.0ms

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×	`pow-to-exp` `pow-prod-down` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 28

Calls

1 calls:

6.0ms

(* 3.0 (pow x 2))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* 3.0 (pow x 2))

simplify73.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	107	104
1	404	89
2	1967	89
3	5002	88

prune36.0ms

Filtered

31 candidates to 17 candidates (45.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	32	5	37

Merged error: 0.0b

Counts

37 → 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)

rewrite67.0ms

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×	`add-log-exp`

Counts

3 → 207

Calls

3 calls:

14.0ms	(* x (* (cbrt 3.0) (cbrt 3.0)))
33.0ms	(* (* x (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) x))
4.0ms	(* (cbrt 3.0) x)

series217.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(* x (* (cbrt 3.0) (cbrt 3.0)))
95.0ms	(* (* x (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) x))
43.0ms	(* (cbrt 3.0) x)

simplify119.0ms

Algorithm

egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	698	1812
1	3765	1529
2	5001	1385

prune253.0ms

Filtered

216 candidates to 120 candidates (44.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	213	3	216
Fresh	2	0	2
Picked	1	0	1
Done	0	2	2
Total	216	5	221

Merged error: 0b

Counts

221 → 5

localize10.0ms

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)

rewrite93.0ms

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×	`pow-pow` `add-log-exp`
3×	`pow-unpow` `unpow3`
2×	`sqrt-pow1`
1×	`pow1/2` `pow1/3` `sqrt-pow2` `rem-cube-cbrt`

Counts

4 → 265

Calls

4 calls:

14.0ms	(* x (* (cbrt 3.0) (sqrt (cbrt 3.0))))
9.0ms	(* x (pow (sqrt (cbrt 3.0)) 3))
49.0ms	(* (* x (* (cbrt 3.0) (sqrt (cbrt 3.0)))) (* x (pow (sqrt (cbrt 3.0)) 3)))
3.0ms	(pow (sqrt (cbrt 3.0)) 3)

series364.0ms

Counts

4 → 10

Calls

4 calls:

131.0ms	(* x (* (cbrt 3.0) (sqrt (cbrt 3.0))))
126.0ms	(* x (pow (sqrt (cbrt 3.0)) 3))
106.0ms	(* (* x (* (cbrt 3.0) (sqrt (cbrt 3.0)))) (* x (pow (sqrt (cbrt 3.0)) 3)))
0.0ms	(pow (sqrt (cbrt 3.0)) 3)

simplify174.0ms

Algorithm

egg-herbie

Counts

275 → 275

Iterations

Useful iterations: 2 (147.0ms)

Iter	Nodes	Cost
0	866	3187
1	4920	2663
2	5001	2650

prune425.0ms

Filtered

275 candidates to 164 candidates (40.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	274	1	275
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	275	5	280

Merged error: 0b

Counts

280 → 5

regimes38.0ms

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

sample252.0ms

Algorithm

intervals

Results

142.0ms

10669×

body

valid