Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

336×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	3
1	23	3
2	30	3
3	31	3
4	31	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: 3.6b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

3.4b	(* x (+ 1.0 (* y y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
4×	`associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/` `distribute-lft-out`
1×	`expm1-log1p-u` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 28

Calls

1 calls:

9.0ms

(* x (+ 1.0 (* y y)))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(* x (+ 1.0 (* y y)))

simplify89.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	148	129
1	742	109
2	3453	106
3	5001	106

prune60.0ms

Filtered

31 candidates to 23 candidates (74.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	25	6	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	26	6	32

Merged error: 3.4b

Counts

32 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

8.1b	(* x (* y y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 39

Calls

1 calls:

9.0ms

(* x (* y y))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* x (* y y))

simplify91.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	151	133
1	661	115
2	3390	113
3	5002	112

prune60.0ms

Filtered

42 candidates to 23 candidates (54.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	5	0	5
Picked	0	1	1
Done	0	0	0
Total	43	5	48

Merged error: 0.0b

Counts

48 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* y x) 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

(* (* y x) y)

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(* (* y x) y)

simplify58.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	127	122
1	478	107
2	2450	101
3	5002	99

prune60.0ms

Filtered

36 candidates to 22 candidates (61.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	36	5	41

Merged error: 0.0b

Counts

41 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series762.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(* (cbrt y) (cbrt y))
180.0ms	(cbrt y)
197.0ms	(cbrt y)
170.0ms	(cbrt y)

simplify96.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3275	261
3	5001	258

prune214.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	95	6	101

Merged error: 0.0b

Counts

101 → 6

regimes59.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample426.0ms

Algorithm

intervals

Results

229.0ms

10498×

body

valid