Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

349×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	15	2
2	16	2
3	16	2

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: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* y z) z)

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×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

5.0ms

(* (* y z) z)

series26.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* (* y z) z)

simplify55.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	97	78
1	468	63
2	2089	63
3	5001	62

prune32.0ms

Filtered

23 candidates to 13 candidates (56.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Merged error: 0.0b

Counts

25 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

4.7b	(fma y (* z z) 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 y (* z z) x)

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(fma y (* z z) x)

simplify39.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	30	42
1	75	37
2	232	37
3	893	37
4	5001	37

prune28.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	13	4	17

Merged error: 0.0b

Counts

17 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* y z) z)
0.2b	(* (* y z) z)
18.0b	(sqrt (* (* y z) z))
18.0b	(sqrt (* (* y z) z))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1`
14×	`add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `sqrt-pow1` `associate-r*` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `associate-l` `sqrt-prod` `*-commutative`

Counts

4 → 68

Calls

4 calls:

5.0ms	(* (* y z) z)
5.0ms	(* (* y z) z)
4.0ms	(sqrt (* (* y z) z))
4.0ms	(sqrt (* (* y z) z))

series176.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* y z) z)
25.0ms	(* (* y z) z)
61.0ms	(sqrt (* (* y z) z))
63.0ms	(sqrt (* (* y z) z))

simplify133.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	184	294
1	806	248
2	4388	242
3	5001	242

prune126.0ms

Filtered

80 candidates to 54 candidates (67.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	80	4	84

Merged error: 0.0b

Counts

84 → 4

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* y (pow z 3/2)) (sqrt z))
4.1b	(* y (pow z 3/2))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
13×	`associate-r`
12×	`add-sqr-sqrt`
10×	`prod-exp`
9×	`add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `unpow-prod-down` `associate-l` `cbrt-unprod`
3×	`sqrt-prod` `unswap-sqr`
2×	`expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`pow-prod-down`

Counts

2 → 51

Calls

2 calls:

7.0ms	(* (* y (pow z 3/2)) (sqrt z))
5.0ms	(* y (pow z 3/2))

series138.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* (* y (pow z 3/2)) (sqrt z))
65.0ms	(* y (pow z 3/2))

simplify42.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	267	281
1	1303	243
2	5001	239

prune93.0ms

Filtered

57 candidates to 38 candidates (66.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	57	4	61

Merged error: 0.0b

Counts

61 → 4

regimes86.0ms

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	9	3
1	9	3

end0.0ms

sample502.0ms

Algorithm

intervals

Results

270.0ms

10794×

body

valid