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

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: 0.3b

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))

series171.0ms

Counts

1 → 3

Calls

1 calls:

171.0ms

(* x (log x))

simplify202.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	95	121
1	348	105
2	1040	98
3	4535	98
4	5001	98

prune47.0ms

Filtered

30 candidates to 18 candidates (60.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	22	8	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	9	31

Merged error: 0.0b

Counts

31 → 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)

rewrite17.0ms

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:

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:

344.0ms	(* x (* 2 (log (cbrt x))))
325.0ms	(* x (log (cbrt x)))
173.0ms	(cbrt x)
172.0ms	(cbrt x)

simplify41.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	294	668
1	1212	589
2	5002	567

prune208.0ms

Filtered

116 candidates to 77 candidates (66.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	112	4	116
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	113	12	125

Merged error: 0b

Counts

125 → 12

localize20.0ms

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)

rewrite18.0ms

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×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 115

Calls

4 calls:

5.0ms	(* x (log (cbrt x)))
7.0ms	(* x (* 2 (log (pow x 1/3))))
1.0ms	(cbrt x)
2.0ms	(pow x 1/3)

series984.0ms

Counts

4 → 12

Calls

4 calls:

318.0ms	(* x (log (cbrt x)))
326.0ms	(* x (* 2 (log (pow x 1/3))))
172.0ms	(cbrt x)
168.0ms	(pow x 1/3)

simplify58.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	409	701
1	1740	551
2	5001	511

prune199.0ms

Filtered

127 candidates to 72 candidates (56.7%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	127	12	139

Merged error: 0b

Counts

139 → 12

localize10.0ms

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)

rewrite22.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`log-pow`
2×	`pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

4 → 100

Calls

4 calls:

5.0ms	(* x (log (cbrt x)))
8.0ms	(+ (* (* 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:

451.0ms	(* x (log (cbrt x)))
511.0ms	(+ (* (* 2/3 (log x)) x) (* x (log (cbrt x))))
144.0ms	(* 2/3 (log x))
179.0ms	(cbrt x)

simplify67.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	381	627
1	1636	541
2	5001	483

prune205.0ms

Filtered

112 candidates to 81 candidates (72.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	2	6	8
Picked	1	0	1
Done	0	3	3
Total	113	11	124

Merged error: 0b

Counts

124 → 11

regimes64.0ms

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

sample544.0ms

Algorithm

intervals

Results

207.0ms	8037×	body	80	valid
144.0ms	8312×	body	80	nan