Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
6.0ms	255×	body	80	nan

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 0.2b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* x (log x))

rewrite9.0ms

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:

7.0ms

(* x (log x))

series220.0ms

Counts

1 → 3

Calls

1 calls:

220.0ms

(* x (log x))

simplify189.0ms

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

prune49.0ms

Filtered

30 candidates to 18 candidates (60.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	23	7	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	24	7	31

Merged error: 0.0b

Counts

31 → 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)))

rewrite18.0ms

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:

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

series318.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(log (sqrt x))
59.0ms	(log (sqrt x))
94.0ms	(* x (log (sqrt x)))
98.0ms	(* x (log (sqrt x)))

simplify87.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 3 (79.0ms)

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

prune201.0ms

Filtered

120 candidates to 78 candidates (65.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	118	9	127

Merged error: 0.0b

Counts

127 → 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))))

rewrite31.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`
1×	`rem-log-exp`

Counts

4 → 140

Calls

4 calls:

2.0ms	(log (sqrt x))
5.0ms	(* x (log (sqrt x)))
7.0ms	(* (sqrt x) (log (sqrt x)))
12.0ms	(* (sqrt x) (* (sqrt x) (log (sqrt x))))

series453.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(log (sqrt x))
104.0ms	(* x (log (sqrt x)))
178.0ms	(* (sqrt x) (log (sqrt x)))
112.0ms	(* (sqrt x) (* (sqrt x) (log (sqrt x))))

simplify63.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	478	1034
1	1866	917
2	5001	858

prune242.0ms

Filtered

152 candidates to 85 candidates (55.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	151	10	161

Merged error: 0b

Counts

161 → 10

localize9.0ms

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)

rewrite23.0ms

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

Counts

4 → 111

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)

series997.0ms

Counts

4 → 12

Calls

4 calls:

318.0ms	(* x (log (cbrt x)))
332.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
174.0ms	(cbrt x)
174.0ms	(cbrt x)

simplify54.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	381	753
1	1662	639
2	5002	569

prune289.0ms

Filtered

123 candidates to 103 candidates (83.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	2	5	7
Picked	0	1	1
Done	0	2	2
Total	124	9	133

Merged error: 0b

Counts

133 → 9

regimes64.0ms

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

sample435.0ms

Algorithm

intervals

Results

159.0ms	8033×	body	80	valid
104.0ms	8001×	body	80	nan