Details

sample16.0ms

Algorithm

intervals

Results

5.0ms	259×	body	80	valid
4.0ms	290×	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 (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

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))

series172.0ms

Counts

1 → 3

Calls

1 calls:

172.0ms

(* x (log x))

simplify192.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (11.0ms)

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

prune52.0ms

Filtered

30 candidates to 18 candidates (60.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (log x) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`pow1` `associate-l`
3×	`add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `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 → 21

Calls

1 calls:

4.0ms

(* (log x) x)

series176.0ms

Counts

1 → 3

Calls

1 calls:

176.0ms

(* (log x) x)

simplify101.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	83	85
1	282	75
2	857	70
3	4212	70
4	5001	70

prune49.0ms

Filtered

24 candidates to 15 candidates (62.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt x))
0.0b	(log (sqrt x))
0.3b	(* x (log (sqrt x)))
0.3b	(* x (log (sqrt x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
24×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`sqrt-prod`
16×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `log-pow`
10×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-l`
4×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `log1p-expm1-u` `add-log-exp`
2×	`rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

1.0ms	(log (sqrt x))
1.0ms	(log (sqrt x))
6.0ms	(* x (log (sqrt x)))
6.0ms	(* x (log (sqrt x)))

series335.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(log (sqrt x))
65.0ms	(log (sqrt x))
101.0ms	(* x (log (sqrt x)))
104.0ms	(* x (log (sqrt x)))

simplify91.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	192	642
1	679	572
2	3087	538
3	5003	536

prune231.0ms

Filtered

120 candidates to 78 candidates (65.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.3b	(* x (log (sqrt x)))
0.3b	(* x (log (sqrt (sqrt x))))
0.3b	(* x (log (sqrt (sqrt x))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

52×	`sqrt-prod`
48×	`log-prod`
36×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity`
24×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-r`
20×	`pow1`
13×	`sqrt-pow1` `log-pow`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-l`
7×	`pow1/2`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`rem-sqrt-square`

Counts

4 → 142

Calls

4 calls:

1.0ms	(sqrt (sqrt x))
6.0ms	(* x (log (sqrt x)))
8.0ms	(* x (log (sqrt (sqrt x))))
8.0ms	(* x (log (sqrt (sqrt x))))

series833.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(sqrt (sqrt x))
102.0ms	(* x (log (sqrt x)))
299.0ms	(* x (log (sqrt (sqrt x))))
292.0ms	(* x (log (sqrt (sqrt x))))

simplify49.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	374	980
1	1447	892
2	5002	827

prune324.0ms

Filtered

154 candidates to 87 candidates (56.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes67.0ms

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	12	13
1	12	13

end0.0ms

sample413.0ms

Algorithm

intervals

Results

148.0ms	8033×	body	80	valid
102.0ms	8065×	body	80	nan