Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

336×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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: 3.6b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

9.0ms

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

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

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

simplify80.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	148	123
1	742	103
2	3453	100
3	5001	100

prune55.0ms

Filtered

27 candidates to 22 candidates (81.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	21	6	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	6	28

Merged error: 3.4b

Counts

28 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

8.1b	(* x (* y y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

5.0ms

(* x (* y y))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* x (* y y))

simplify95.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	88	81
1	292	66
2	832	66
3	2900	66
4	5002	66

prune41.0ms

Filtered

24 candidates to 14 candidates (58.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	19	5	24
Fresh	5	0	5
Picked	0	1	1
Done	0	0	0
Total	24	6	30

Merged error: 0.0b

Counts

30 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 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)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* (* x y) y)

simplify55.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (53.0ms)

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

prune39.0ms

Filtered

23 candidates to 13 candidates (56.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	22	7	29

Merged error: 0.0b

Counts

29 → 7

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`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

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

series687.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(* (cbrt y) (cbrt y))
165.0ms	(cbrt y)
167.0ms	(cbrt y)
168.0ms	(cbrt y)

simplify86.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune204.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	92	8	100

Merged error: 0.0b

Counts

100 → 8

regimes84.0ms

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

sample365.0ms

Algorithm

intervals

Results

197.0ms

10498×

body

valid