Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

466×

body

valid

simplify273.0ms

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: 0.2b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(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))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify52.0ms

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

prune29.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	8	5	13
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	9	6	15

Merged error: 0.1b

Counts

15 → 6

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 (9.0ms)

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

prune37.0ms

Filtered

24 candidates to 14 candidates (58.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	4	0	4
Picked	1	0	1
Done	0	1	1
Total	25	5	30

Merged error: 0.0b

Counts

30 → 5

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×	`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)

series28.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* (* 3 y) y)

simplify58.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (55.0ms)

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

prune28.0ms

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: 0b

Counts

28 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
0.3b	(* (cbrt 3) (* y y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

12.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
10.0ms	(* (cbrt 3) (* y y))

series129.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
44.0ms	(* (cbrt 3) (* y y))

simplify91.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	189	404
1	712	296
2	3776	236
3	5002	227

prune67.0ms

Filtered

61 candidates to 32 candidates (52.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	61	5	66

Merged error: 0b

Counts

66 → 5

regimes85.0ms

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

sample515.0ms

Algorithm

intervals

Results

311.0ms

14045×

body

valid