Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

330×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	17	3
2	21	3
3	23	3
4	24	3
5	24	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: 0.4b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) 3.0)
0.3b	(/ (- (* x x) 3.0) 6.0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
5×	`difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube` `associate-/l*` `add-log-exp`
3×	`prod-diff` `associate-/r*`
2×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 55

Calls

2 calls:

4.0ms	(- (* x x) 3.0)
7.0ms	(/ (- (* x x) 3.0) 6.0)

series107.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (* x x) 3.0)
69.0ms	(/ (- (* x x) 3.0) 6.0)

simplify37.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	246	323
1	917	287
2	5001	279

prune92.0ms

Filtered

61 candidates to 47 candidates (77.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	57	4	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	4	62

Merged error: 0b

Counts

62 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.4b	(* 0.16666666666666666 (pow x 2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

6.0ms

(* 0.16666666666666666 (pow x 2))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* 0.16666666666666666 (pow x 2))

simplify72.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	109	108
1	408	93
2	2002	93
3	5001	92

prune38.0ms

Filtered

32 candidates to 20 candidates (62.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	33	3	36

Merged error: 0b

Counts

36 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 0.16666666666666666) x)

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

(* (* x 0.16666666666666666) x)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* (* x 0.16666666666666666) x)

simplify52.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	96	78
1	435	63
2	2298	63
3	5001	62

prune20.0ms

Filtered

23 candidates to 12 candidates (52.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	23	3	26

Merged error: 0b

Counts

26 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) 3.0)
0.1b	(/ 1 (/ 6.0 (- (* x x) 3.0)))
0.3b	(/ 6.0 (- (* x x) 3.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
81×	`add-sqr-sqrt`
64×	`add-cube-cbrt` `*-un-lft-identity`
22×	`associate-/r*`
17×	`difference-of-squares`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `prod-diff` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `inv-pow`

Counts

3 → 152

Calls

3 calls:

4.0ms	(- (* x x) 3.0)
9.0ms	(/ 1 (/ 6.0 (- (* x x) 3.0)))
6.0ms	(/ 6.0 (- (* x x) 3.0))

series161.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (* x x) 3.0)
68.0ms	(/ 1 (/ 6.0 (- (* x x) 3.0)))
53.0ms	(/ 6.0 (- (* x x) 3.0))

simplify73.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	557	1254
1	2698	1107
2	5002	1004

prune166.0ms

Filtered

161 candidates to 94 candidates (58.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	161	3	164

Merged error: 0b

Counts

164 → 3

regimes33.0ms

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	8	3
1	8	3

end0.0ms

sample351.0ms

Algorithm

intervals

Results

231.0ms

10788×

body

valid