Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

343×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	20	3
2	22	3
3	22	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: 5.8b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

5.4b	(* x (+ 1.0 (* y y)))

rewrite5.0ms

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` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

5.0ms

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

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify78.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	144	115
1	712	101
2	3303	100
3	5003	100

prune42.0ms

Filtered

25 candidates to 17 candidates (68.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	20	5	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	5	26

Merged error: 5.6b

Counts

26 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

9.9b	(* 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×	`associate-r` `*-commutative` `add-log-exp` `unswap-sqr`

Counts

1 → 19

Calls

1 calls:

5.0ms

(* x (* y y))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* x (* y y))

simplify96.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	86	75
1	289	60
2	825	60
3	2881	60
4	5001	60

prune29.0ms

Filtered

22 candidates to 12 candidates (54.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	23	4	27

Merged error: 0.0b

Counts

27 → 4

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×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (* x y) y)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* (* x y) y)

simplify55.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	95	72
1	466	57
2	2085	57
3	5001	56

prune22.0ms

Filtered

21 candidates to 11 candidates (52.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	21	4	25

Merged error: 0.0b

Counts

25 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.7b	(* (cbrt x) (+ 1.0 (* y y)))
4.0b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ 1.0 (* y y))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
10×	`cbrt-prod`
9×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`associate-*r/`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `add-log-exp`
2×	`flip3-+` `pow1/3` `*-commutative` `flip-+` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
5.0ms	(* (cbrt x) (+ 1.0 (* y y)))
10.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ 1.0 (* y y))))

series653.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt x)
173.0ms	(cbrt x)
187.0ms	(* (cbrt x) (+ 1.0 (* y y)))
94.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ 1.0 (* y y))))

simplify58.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	320	581
1	1613	442
2	5003	395

prune147.0ms

Filtered

88 candidates to 61 candidates (69.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	88	4	92

Merged error: 0.0b

Counts

92 → 4

regimes90.0ms

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

sample401.0ms

Algorithm

intervals

Results

235.0ms

10670×

body

valid