Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	258×	body	80	valid
3.0ms	242×	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×	`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))

series176.0ms

Counts

1 → 3

Calls

1 calls:

175.0ms

(* x (log x))

simplify195.0ms

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

prune46.0ms

Filtered

28 candidates to 16 candidates (57.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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)))

rewrite21.0ms

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

Counts

4 → 100

Calls

4 calls:

2.0ms	(log (sqrt x))
2.0ms	(log (sqrt x))
9.0ms	(* x (log (sqrt x)))
6.0ms	(* x (log (sqrt x)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(log (sqrt x))
64.0ms	(log (sqrt x))
101.0ms	(* x (log (sqrt x)))
106.0ms	(* x (log (sqrt x)))

simplify85.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	183	618
1	645	544
2	2901	510
3	5001	510

prune193.0ms

Filtered

112 candidates to 70 candidates (62.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

66×	`log-prod`
51×	`distribute-rgt-in` `distribute-lft-in`
48×	`cbrt-prod`
36×	`associate-+l+`
34×	`add-sqr-sqrt`
32×	`add-cube-cbrt` `*-un-lft-identity`
30×	`sqrt-prod`
18×	`associate-+r+`
8×	`pow1`
6×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `log-pow`
2×	`pow1/3`
1×	`+-commutative` `sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 127

Calls

4 calls:

12.0ms	(+ (* x (* 2 (log (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))))
5.0ms	(* x (log (sqrt x)))
2.0ms	(cbrt (sqrt x))
2.0ms	(cbrt (sqrt x))

series687.0ms

Counts

4 → 12

Calls

4 calls:

297.0ms	(+ (* x (* 2 (log (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))))
98.0ms	(* x (log (sqrt x)))
146.0ms	(cbrt (sqrt x))
146.0ms	(cbrt (sqrt x))

simplify63.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	506	1123
1	1939	983
2	5001	901

prune413.0ms

Filtered

139 candidates to 104 candidates (74.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* 2 (log (pow (/ 1 x) -1/6)))) (* x (log (cbrt (sqrt x)))))
0.3b	(* x (log (sqrt x)))
0.6b	(cbrt (sqrt x))
4.2b	(pow (/ 1 x) -1/6)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

98×	`log-prod`
83×	`distribute-rgt-in` `distribute-lft-in`
68×	`associate-+l+`
65×	`unpow-prod-down`
60×	`add-sqr-sqrt`
58×	`add-cube-cbrt` `*-un-lft-identity`
45×	`times-frac`
18×	`cbrt-prod` `associate-+r+`
15×	`sqrt-prod`
11×	`add-exp-log`
10×	`pow1`
6×	`associate-r` `add-cbrt-cube` `add-log-exp`
5×	`div-inv` `sqr-pow`
4×	`pow-exp`
3×	`pow-unpow` `pow-pow` `associate-l` `log-pow`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `sqrt-pow1` `flip3-+` `pow1/2` `pow1/3` `1-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

4 → 177

Calls

4 calls:

17.0ms	(+ (* x (* 2 (log (pow (/ 1 x) -1/6)))) (* x (log (cbrt (sqrt x)))))
5.0ms	(* x (log (sqrt x)))
2.0ms	(cbrt (sqrt x))
5.0ms	(pow (/ 1 x) -1/6)

series942.0ms

Counts

4 → 12

Calls

4 calls:

519.0ms	(+ (* x (* 2 (log (pow (/ 1 x) -1/6)))) (* x (log (cbrt (sqrt x)))))
99.0ms	(* x (log (sqrt x)))
150.0ms	(cbrt (sqrt x))
174.0ms	(pow (/ 1 x) -1/6)

simplify98.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	932	1533
1	3394	1432
2	5002	1368

prune773.0ms

Filtered

189 candidates to 138 candidates (73.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes34.0ms

Accuracy

0% (0.2b 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	6	7
1	6	7

end0.0ms

sample460.0ms

Algorithm

intervals

Results

168.0ms	8041×	body	80	valid
109.0ms	7980×	body	80	nan