Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

355×

body

valid

simplify10.0ms

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

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: 4.6b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

4.3b	(* x (+ 1.0 (* y y)))

rewrite6.0ms

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:

5.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify83.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 2 (21.0ms)

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

prune53.0ms

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: 4.4b

Counts

28 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

11.2b

(* 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))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* x (* y y))

simplify99.0ms

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

prune42.0ms

Filtered

24 candidates to 14 candidates (58.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	25	5	30

Merged error: 0.0b

Counts

30 → 5

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x y) y)

rewrite6.0ms

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:

31.0ms

(* (* 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

prune29.0ms

Filtered

23 candidates to 13 candidates (56.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	23	5	28

Merged error: 0.0b

Counts

28 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

1.3b	(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
4.4b	(cbrt (+ 1.0 (* y y)))
4.4b	(cbrt (+ 1.0 (* y y)))
4.4b	(cbrt (+ 1.0 (* y y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `flip3-+` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

11.0ms	(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
2.0ms	(cbrt (+ 1.0 (* y y)))
2.0ms	(cbrt (+ 1.0 (* y y)))
2.0ms	(cbrt (+ 1.0 (* y y)))

series652.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
171.0ms	(cbrt (+ 1.0 (* y y)))
166.0ms	(cbrt (+ 1.0 (* y y)))
168.0ms	(cbrt (+ 1.0 (* y y)))

simplify113.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	308	733
1	1005	669
2	3500	640
3	5003	634

prune248.0ms

Filtered

86 candidates to 76 candidates (88.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	86	5	91

Merged error: 0.0b

Counts

91 → 5

regimes91.0ms

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

sample419.0ms

Algorithm

intervals

Results

242.0ms

10740×

body

valid