Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

346×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	2
1	9	2
2	9	2

prune1.0ms

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: 0.1b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

5.0ms

(* (* x y) y)

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* (* x y) y)

simplify57.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	97	78
1	468	63
2	2089	63
3	5001	62

prune34.0ms

Filtered

23 candidates to 13 candidates (56.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	19	4	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	5	24

Merged error: 0.0b

Counts

24 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
19.5b	(cbrt (* (* x y) y))
19.5b	(cbrt (* (* x y) y))
19.5b	(cbrt (* (* x y) y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

5.0ms	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
3.0ms	(cbrt (* (* x y) y))
3.0ms	(cbrt (* (* x y) y))
4.0ms	(cbrt (* (* x y) y))

series380.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
90.0ms	(cbrt (* (* x y) y))
90.0ms	(cbrt (* (* x y) y))
91.0ms	(cbrt (* (* x y) y))

simplify94.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	209	467
1	684	410
2	3048	353
3	5001	345

prune171.0ms

Filtered

78 candidates to 61 candidates (78.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	76	7	83

Merged error: 0.0b

Counts

83 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
10.2b	(cbrt (* x y))
19.5b	(cbrt (* (* x y) y))
19.5b	(cbrt (* (* x y) y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(cbrt (* x y))
4.0ms	(cbrt (* (* x y) y))
4.0ms	(cbrt (* (* x y) y))

series426.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt y)
69.0ms	(cbrt (* x y))
92.0ms	(cbrt (* (* x y) y))
94.0ms	(cbrt (* (* x y) y))

simplify101.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	166	248
1	355	222
2	1047	196
3	3611	192
4	5001	192

prune191.0ms

Filtered

58 candidates to 52 candidates (89.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	57	8	65

Merged error: 0.0b

Counts

65 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

19.5b	(cbrt (* (* x y) y))
19.5b	(cbrt (* (* x y) y))
19.5b	(cbrt (* (* x y) y))
19.5b	(cbrt (* (* x y) y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

4.0ms	(cbrt (* (* x y) y))
4.0ms	(cbrt (* (* x y) y))
4.0ms	(cbrt (* (* x y) y))
3.0ms	(cbrt (* (* x y) y))

series374.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (* (* x y) y))
93.0ms	(cbrt (* (* x y) y))
97.0ms	(cbrt (* (* x y) y))
91.0ms	(cbrt (* (* x y) y))

simplify49.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (14.0ms)

Iter	Nodes	Cost
0	94	296
1	187	260
2	421	228
3	1151	224
4	5002	224

prune185.0ms

Filtered

56 candidates to 52 candidates (92.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	56	8	64

Merged error: 0.0b

Counts

64 → 8

regimes78.0ms

Accuracy

0% (0.1b 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

sample310.0ms

Algorithm

intervals

Results

154.0ms

10697×

body

valid