Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

455×

body

valid

simplify284.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	14	6
1	29	4
2	50	4
3	70	3
4	82	3
5	125	3
6	229	3
7	321	3
8	336	3
9	436	3
10	790	3
11	3492	3
12	5001	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 3 (* y y) (* x x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma 3 (* y y) (* x x))

series37.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(fma 3 (* y y) (* x x))

simplify50.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	33	59
1	84	52
2	267	52
3	1089	52
4	5002	52

prune27.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	12	3	15

Merged error: 0.1b

Counts

15 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 3 (* 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

(* 3 (* y y))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* 3 (* y y))

simplify186.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	88	76
1	291	66
2	1049	63
3	4500	63
4	5001	63

prune39.0ms

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	2	0	2
Picked	0	1	1
Done	0	0	0
Total	21	6	27

Merged error: 0.0b

Counts

27 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* 3 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

(* (* 3 y) y)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(* (* 3 y) y)

simplify57.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	97	74
1	467	63
2	2248	60
3	5001	59

prune48.0ms

Filtered

23 candidates to 13 candidates (56.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	24	5	29

Merged error: 0.0b

Counts

29 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 3 y) y)
0.3b	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
20.4b	(sqrt (* (* 3 y) y))
20.4b	(sqrt (* (* 3 y) y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

5.0ms	(* (* 3 y) y)
11.0ms	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
4.0ms	(sqrt (* (* 3 y) y))
4.0ms	(sqrt (* (* 3 y) y))

series161.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* 3 y) y)
68.0ms	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
32.0ms	(sqrt (* (* 3 y) y))
37.0ms	(sqrt (* (* 3 y) y))

simplify44.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	184	393
1	993	335
2	5002	297

prune171.0ms

Filtered

128 candidates to 59 candidates (46.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	128	5	133

Merged error: 0b

Counts

133 → 5

regimes72.0ms

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	10	4
1	10	4

end0.0ms

sample547.0ms

Algorithm

intervals

Results

329.0ms

14076×

body

valid