Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

327×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	3
1	20	3
2	22	3
3	22	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: 3.8b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

3.6b	(* x (+ 1.0 (* y y)))

rewrite9.0ms

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:

8.0ms

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

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(* 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

prune43.0ms

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: 3.7b

Counts

26 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (* y y)))
10.1b	(* x (* y y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

6.0ms	(+ (* x 1.0) (* x (* y y)))
9.0ms	(* x (* y y))

series121.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(+ (* x 1.0) (* x (* y y)))
43.0ms	(* x (* y y))

simplify79.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	167	162
1	633	137
2	2466	134
3	5001	134

prune51.0ms

Filtered

37 candidates to 23 candidates (62.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Merged error: 0.0b

Counts

42 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x y) y))
0.2b	(* (* x y) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* (* x y) y))
5.0ms	(* (* x y) y)

series95.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(+ (* x 1.0) (* (* x y) y))
29.0ms	(* (* x y) y)

simplify131.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	174	161
1	815	137
2	4140	129
3	5001	128

prune54.0ms

Filtered

35 candidates to 23 candidates (65.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	33	6	39

Merged error: 0.0b

Counts

39 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series922.0ms

Counts

4 → 12

Calls

4 calls:

382.0ms	(* (cbrt y) (cbrt y))
180.0ms	(cbrt y)
179.0ms	(cbrt y)
181.0ms	(cbrt y)

simplify114.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune159.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

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

sample397.0ms

Algorithm

intervals

Results

231.0ms

10626×

body

valid