Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	258×	body	80	valid
5.0ms	282×	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

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: 0.3b

Counts

2 → 1

localize6.0ms

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))

series171.0ms

Counts

1 → 3

Calls

1 calls:

171.0ms

(* x (log x))

simplify184.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	93	115
1	346	99
2	1044	92
3	4253	92
4	5002	92

prune43.0ms

Filtered

28 candidates to 16 candidates (57.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	20	8	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	9	29

Merged error: 0.0b

Counts

29 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

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

Counts

4 → 96

Calls

4 calls:

6.0ms	(* x (* 2 (log (cbrt x))))
5.0ms	(* x (log (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

333.0ms	(* x (* 2 (log (cbrt x))))
321.0ms	(* x (log (cbrt x)))
177.0ms	(cbrt x)
171.0ms	(cbrt x)

simplify41.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	288	646
1	1206	563
2	5001	541

prune187.0ms

Filtered

108 candidates to 69 candidates (63.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	105	12	117

Merged error: 0b

Counts

117 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt x)))
0.3b	(* x (* 2 (log (pow x 1/3))))
0.6b	(cbrt x)
5.0b	(pow x 1/3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

40×	`log-prod`
34×	`distribute-rgt-in` `distribute-lft-in`
24×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
15×	`unpow-prod-down`
13×	`pow1`
12×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`cbrt-prod`
6×	`associate-r` `associate-l`
5×	`sqr-pow`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow`
2×	`pow1/3` `log-pow` `*-commutative`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

5.0ms	(* x (log (cbrt x)))
6.0ms	(* x (* 2 (log (pow x 1/3))))
1.0ms	(cbrt x)
2.0ms	(pow x 1/3)

series998.0ms

Counts

4 → 12

Calls

4 calls:

326.0ms	(* x (log (cbrt x)))
330.0ms	(* x (* 2 (log (pow x 1/3))))
172.0ms	(cbrt x)
168.0ms	(pow x 1/3)

simplify59.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	401	675
1	1731	525
2	5001	485

prune177.0ms

Filtered

119 candidates to 64 candidates (53.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	119	12	131

Merged error: 0b

Counts

131 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt x)))
0.3b	(+ (* (* 2/3 (log x)) x) (* x (log (cbrt x))))
0.4b	(* 2/3 (log x))
0.6b	(cbrt x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
23×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in`
12×	`associate-+r+`
10×	`pow1`
9×	`associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-l` `add-log-exp`
3×	`log-pow`
2×	`pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 91

Calls

4 calls:

5.0ms	(* x (log (cbrt x)))
7.0ms	(+ (* (* 2/3 (log x)) x) (* x (log (cbrt x))))
4.0ms	(* 2/3 (log x))
1.0ms	(cbrt x)

series1.3s

Counts

4 → 12

Calls

4 calls:

324.0ms	(* x (log (cbrt x)))
503.0ms	(+ (* (* 2/3 (log x)) x) (* x (log (cbrt x))))
262.0ms	(* 2/3 (log x))
171.0ms	(cbrt x)

simplify54.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	353	597
1	1502	522
2	5001	457

prune173.0ms

Filtered

103 candidates to 71 candidates (68.9%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	7	8
Picked	0	1	1
Done	0	3	3
Total	103	12	115

Merged error: 0b

Counts

115 → 12

regimes68.0ms

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

sample510.0ms

Algorithm

intervals

Results

198.0ms	8037×	body	80	valid
136.0ms	8312×	body	80	nan