Details

sample18.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	229×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	2
1	4	2

prune1.0ms

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×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

4.0ms

(* x (log x))

series183.0ms

Counts

1 → 3

Calls

1 calls:

182.0ms

(* x (log x))

simplify185.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	93	115
1	346	99
2	1041	92
3	4239	92
4	5003	92

prune38.0ms

Filtered

28 candidates to 16 candidates (42.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	22	6	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	7	29

Merged error: 0.0b

Counts

29 → 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)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
44×	`*-un-lft-identity`
43×	`associate-r`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod` `add-sqr-sqrt`
28×	`add-cube-cbrt`
24×	`associate-+l+`
15×	`pow1`
13×	`distribute-rgt-out` `associate-l`
12×	`associate-+r+` `log-pow`
11×	`distribute-lft-out`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow1/3`
3×	`*-commutative`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

5.0ms	(* x (log (cbrt x)))
34.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

343.0ms	(* x (log (cbrt x)))
363.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
184.0ms	(cbrt x)
185.0ms	(cbrt x)

simplify58.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	395	826
1	1713	686
2	5002	613

prune253.0ms

Filtered

137 candidates to 103 candidates (24.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	133	4	137
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	138	6	144

Merged error: 0b

Counts

144 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (pow x 1/3)))
0.3b	(+ (* x (* 2 (log (cbrt x)))) (+ 0 (* x (log (pow x 1/3)))))
0.5b	(cbrt x)
5.1b	(pow x 1/3)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

52×	`log-prod`
42×	`*-un-lft-identity`
38×	`distribute-rgt-in` `distribute-lft-in`
30×	`associate-+r+`
28×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
24×	`associate-+l+`
15×	`cbrt-prod` `unpow-prod-down`
10×	`distribute-lft-out`
9×	`pow1` `associate-r` `add-log-exp`
8×	`associate-l`
7×	`add-exp-log`
6×	`pow-unpow` `log-pow` `add-cbrt-cube`
5×	`sqr-pow`
3×	`sum-log`
2×	`+-commutative` `pow-pow`
1×	`pow-to-exp` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

7.0ms	(* x (log (pow x 1/3)))
34.0ms	(+ (* x (* 2 (log (cbrt x)))) (+ 0 (* x (log (pow x 1/3)))))
2.0ms	(cbrt x)
3.0ms	(pow x 1/3)

series1.3s

Counts

4 → 12

Calls

4 calls:

446.0ms	(* x (log (pow x 1/3)))
459.0ms	(+ (* x (* 2 (log (cbrt x)))) (+ 0 (* x (log (pow x 1/3)))))
185.0ms	(cbrt x)
179.0ms	(pow x 1/3)

simplify90.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	512	880
1	2288	706
2	5002	640

prune281.0ms

Filtered

137 candidates to 98 candidates (28.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	137	6	143

Merged error: 0b

Counts

143 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`rem-log-exp`

Counts

3 → 60

Calls

3 calls:

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

series766.0ms

Counts

3 → 9

Calls

3 calls:

251.0ms	(log (cbrt x))
341.0ms	(* (log (cbrt x)) (* x 3))
173.0ms	(cbrt x)

simplify44.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	213	323
1	994	285
2	5001	266

prune97.0ms

Filtered

69 candidates to 51 candidates (26.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	69	6	75

Merged error: 0b

Counts

75 → 6

regimes53.0ms

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

sample427.0ms

Algorithm

intervals

Results

153.0ms	8054×	body	80	valid
106.0ms	7905×	body	80	nan