Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
3.0ms	229×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	2
1	4	2

prune2.0ms

Filtered

1 candidates to 0 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: 0.3b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`log-prod`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `associate-r`
3×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-l` `add-cbrt-cube`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 27

Calls

1 calls:

4.0ms

(* x (log x))

series175.0ms

Counts

1 → 3

Calls

1 calls:

175.0ms

(* x (log x))

simplify191.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	95	121
1	348	105
2	1037	98
3	4522	98
4	5001	98

prune39.0ms

Filtered

30 candidates to 18 candidates (40.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	24	6	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	7	31

Merged error: 0.0b

Counts

31 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt x)))
0.3b	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

62×	`associate-r`
49×	`*-un-lft-identity`
48×	`log-prod`
42×	`add-sqr-sqrt`
36×	`distribute-rgt-in` `distribute-lft-in`
33×	`add-cube-cbrt`
30×	`cbrt-prod`
24×	`associate-+l+` `fma-def`
19×	`associate-l`
16×	`pow1`
14×	`log-pow`
13×	`distribute-rgt-out`
12×	`associate-+r+`
11×	`distribute-lft-out`
6×	`add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
5×	`*-commutative` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `flip-+`

Counts

4 → 157

Calls

4 calls:

5.0ms	(* x (log (cbrt x)))
32.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

328.0ms	(* x (log (cbrt x)))
337.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
176.0ms	(cbrt x)
173.0ms	(cbrt x)

simplify68.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	443	844
1	1968	692
2	5001	645

prune320.0ms

Filtered

169 candidates to 132 candidates (21.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	164	5	169
Fresh	5	0	5
Picked	1	0	1
Done	0	1	1
Total	170	6	176

Merged error: 0b

Counts

176 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt x))))
0.3b	(+ (* x (* 2 (log (cbrt x)))) (+ (* x (log (cbrt 1))) (* x (log (pow x 1/3)))))
0.5b	(cbrt x)
5.1b	(pow x 1/3)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
74×	`log-prod`
62×	`associate-r`
61×	`distribute-rgt-in` `distribute-lft-in`
57×	`add-sqr-sqrt`
43×	`add-cube-cbrt`
42×	`associate-+r+`
41×	`distribute-lft-out`
36×	`associate-+l+`
35×	`associate-l`
33×	`cbrt-prod`
24×	`fma-def`
20×	`pow1`
12×	`log-pow`
10×	`add-exp-log`
9×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp`
8×	`unswap-sqr`
6×	`*-commutative`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `pow1/3` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `sqr-pow`
2×	`+-commutative`
1×	`pow-to-exp` `distribute-rgt-out` `pow-pow` `flip3-+` `unpow1/3` `pow-exp` `flip-+`

Counts

4 → 204

Calls

4 calls:

10.0ms	(* x (* 2 (log (cbrt x))))
55.0ms	(+ (* x (* 2 (log (cbrt x)))) (+ (* x (log (cbrt 1))) (* x (log (pow x 1/3)))))
1.0ms	(cbrt x)
2.0ms	(pow x 1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

337.0ms	(* x (* 2 (log (cbrt x))))
449.0ms	(+ (* x (* 2 (log (cbrt x)))) (+ (* x (log (cbrt 1))) (* x (log (pow x 1/3)))))
177.0ms	(cbrt x)
170.0ms	(pow x 1/3)

simplify108.0ms

Algorithm

egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	804	1529
1	3605	1108
2	5001	1045

prune633.0ms

Filtered

216 candidates to 152 candidates (29.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	215	1	216
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	216	6	222

Merged error: 0b

Counts

222 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (cbrt x))
0.4b	(* (log (cbrt x)) (* x 3))
0.5b	(cbrt x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

2.0ms	(log (cbrt x))
8.0ms	(* (log (cbrt x)) (* x 3))
1.0ms	(cbrt x)

series787.0ms

Counts

3 → 9

Calls

3 calls:

285.0ms	(log (cbrt x))
336.0ms	(* (log (cbrt x)) (* x 3))
166.0ms	(cbrt x)

simplify41.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	219	343
1	1000	305
2	5001	286

prune104.0ms

Filtered

75 candidates to 57 candidates (24.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	75	6	81

Merged error: 0b

Counts

81 → 6

regimes59.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	2
1	4	2

end0.0ms

sample415.0ms

Algorithm

intervals

Results

154.0ms	8054×	body	80	valid
102.0ms	7905×	body	80	nan