Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

294×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	2
1	16	2
2	18	2
3	18	2

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: 0.3b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (* x 27.0) y)

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 27.0) y)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* (* x 27.0) y)

simplify65.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	138	122
1	562	107
2	2565	107
3	5001	107

prune47.0ms

Filtered

36 candidates to 26 candidates (72.2%)

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 27.0 (* x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-r`
12×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `associate-l` `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:

8.0ms

(* 27.0 (* x y))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(* 27.0 (* x y))

simplify63.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	144	124
1	686	109
2	2326	109
3	5001	109

prune46.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	36	6	42

Merged error: 0.0b

Counts

42 → 6

localize3.0ms

Local error

Found 1 expressions with local error:

0.5b	(* x (* 27.0 y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-r`
12×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `associate-l` `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:

8.0ms

(* x (* 27.0 y))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(* x (* 27.0 y))

simplify72.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	147	124
1	739	109
2	2684	109
3	5001	109

prune46.0ms

Filtered

36 candidates to 25 candidates (69.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	36	6	42

Merged error: 0b

Counts

42 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x y)) (cbrt (* x y)))
8.7b	(cbrt (* x y))
8.7b	(cbrt (* x y))
8.7b	(cbrt (* x y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 145

Calls

4 calls:

13.0ms	(* (cbrt (* x y)) (cbrt (* x y)))
4.0ms	(cbrt (* x y))
4.0ms	(cbrt (* x y))
4.0ms	(cbrt (* x y))

series364.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (cbrt (* x y)) (cbrt (* x y)))
67.0ms	(cbrt (* x y))
121.0ms	(cbrt (* x y))
76.0ms	(cbrt (* x y))

simplify89.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	277	963
1	987	905
2	3701	821
3	5001	790

prune264.0ms

Filtered

157 candidates to 113 candidates (72.0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	157	6	163

Merged error: 0b

Counts

163 → 6

regimes77.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	2
1	7	2

end0.0ms

sample260.0ms

Algorithm

intervals

Results

132.0ms

9114×

body

valid