Details

sample26.0ms

Algorithm

intervals

Results

7.0ms	257×	body	80	valid
6.0ms	267×	body	80	nan

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	29	4
2	51	4
3	65	4
4	97	4
5	120	4
6	159	4
7	257	4
8	322	4
9	322	4

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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x (log y)) z)
0.3b	(* x (log y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
5×	`pow1`
4×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `prod-diff`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

5.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series91.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(- (* x (log y)) z)
37.0ms	(* x (log y))

simplify75.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	221	261
1	761	224
2	2785	207
3	5001	203

prune110.0ms

Filtered

57 candidates to 38 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	5	58

Merged error: 0.0b

Counts

58 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt y))))
0.3b	(* x (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 104

Calls

4 calls:

7.0ms	(* x (* 2 (log (cbrt y))))
5.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series535.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* x (* 2 (log (cbrt y))))
91.0ms	(* x (log (cbrt y)))
171.0ms	(cbrt y)
177.0ms	(cbrt y)

simplify41.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	297	672
1	1179	591
2	5001	567

prune287.0ms

Filtered

116 candidates to 76 candidates (65.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	113	3	116
Fresh	3	0	3
Picked	1	0	1
Done	0	1	1
Total	117	4	121

Merged error: 0b

Counts

121 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series716.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt y)
184.0ms	(cbrt y)
174.0ms	(cbrt y)
181.0ms	(cbrt y)

simplify127.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	42	172
1	83	160
2	195	152
3	699	152
4	4132	152
5	5001	152

prune282.0ms

Filtered

64 candidates to 56 candidates (87.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	64	4	68

Merged error: 0b

Counts

68 → 4

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
4.9b	(pow (/ 1 y) -1/3)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`unpow-prod-down`
9×	`add-exp-log` `cbrt-prod` `times-frac`
6×	`pow1`
4×	`expm1-log1p-u` `pow-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-pow` `pow1/3`
2×	`div-exp`
1×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
5.0ms	(pow (/ 1 y) -1/3)

series704.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt y)
172.0ms	(cbrt y)
176.0ms	(cbrt y)
171.0ms	(pow (/ 1 y) -1/3)

simplify65.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	204	288
1	663	262
2	2389	248
3	5001	230

prune335.0ms

Filtered

85 candidates to 59 candidates (69.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	85	4	89

Merged error: 0b

Counts

89 → 4

regimes96.0ms

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	25	18
1	25	18

end0.0ms

sample744.0ms

Algorithm

intervals

Results

235.0ms	8036×	body	80	valid
182.0ms	8106×	body	80	nan
0.0ms	1×	body	1280	valid