Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
3.0ms	255×	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: 0.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 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))

series168.0ms

Counts

1 → 3

Calls

1 calls:

168.0ms

(* x (log x))

simplify182.0ms

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

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	21	7	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	7	29

Merged error: 0.0b

Counts

29 → 7

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt x))
0.0b	(log (sqrt x))
0.2b	(* x (log (sqrt x)))
0.2b	(* 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×	`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))
5.0ms	(* x (log (sqrt x)))
6.0ms	(* x (log (sqrt x)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(log (sqrt x))
64.0ms	(log (sqrt x))
98.0ms	(* x (log (sqrt x)))
101.0ms	(* x (log (sqrt x)))

simplify132.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (32.0ms)

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

prune188.0ms

Filtered

112 candidates to 70 candidates (62.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	110	9	119

Merged error: 0.0b

Counts

119 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt x))
0.2b	(* x (log (sqrt x)))
0.3b	(* (sqrt x) (log (sqrt x)))
0.3b	(* (sqrt x) (* (sqrt x) (log (sqrt x))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
35×	`add-sqr-sqrt`
34×	`sqrt-prod`
29×	`add-cube-cbrt` `*-un-lft-identity`
19×	`pow1`
15×	`associate-l`
14×	`add-exp-log`
13×	`associate-r` `add-cbrt-cube`
9×	`log-pow`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`
1×	`rem-log-exp`

Counts

4 → 132

Calls

4 calls:

2.0ms	(log (sqrt x))
5.0ms	(* x (log (sqrt x)))
6.0ms	(* (sqrt x) (log (sqrt x)))
9.0ms	(* (sqrt x) (* (sqrt x) (log (sqrt x))))

series466.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(log (sqrt x))
97.0ms	(* x (log (sqrt x)))
192.0ms	(* (sqrt x) (log (sqrt x)))
115.0ms	(* (sqrt x) (* (sqrt x) (log (sqrt x))))

simplify56.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	454	1005
1	1795	885
2	5001	825

prune189.0ms

Filtered

144 candidates to 77 candidates (53.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	143	10	153

Merged error: 0b

Counts

153 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt x)))
0.3b	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

5.0ms	(* x (log (cbrt x)))
10.0ms	(+ (* 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:

331.0ms	(* x (log (cbrt x)))
373.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
173.0ms	(cbrt x)
175.0ms	(cbrt x)

simplify52.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	342	729
1	1457	633
2	5001	547

prune314.0ms

Filtered

114 candidates to 94 candidates (82.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	4	3	7
Picked	0	1	1
Done	0	2	2
Total	116	8	124

Merged error: 0b

Counts

124 → 8

regimes104.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms

sample421.0ms

Algorithm

intervals

Results

156.0ms	8033×	body	80	valid
99.0ms	8001×	body	80	nan