Details

sample18.0ms

Algorithm

intervals

Results

6.0ms	258×	body	80	valid
4.0ms	232×	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

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:

5.0ms

(* x (log x))

series171.0ms

Counts

1 → 3

Calls

1 calls:

171.0ms

(* x (log x))

simplify194.0ms

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

prune45.0ms

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

rewrite20.0ms

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)))
9.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series994.0ms

Counts

4 → 12

Calls

4 calls:

312.0ms	(* x (log (cbrt x)))
331.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
181.0ms	(cbrt x)
169.0ms	(cbrt x)

simplify55.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (46.0ms)

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

prune267.0ms

Filtered

123 candidates to 102 candidates (82.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	125	7	132

Merged error: 0b

Counts

132 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`cbrt-prod` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

1.0ms	(fma x (* 2 (log (cbrt x))) (* x (log (cbrt x))))
5.0ms	(* x (log (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.3s

Counts

4 → 12

Calls

4 calls:

639.0ms	(fma x (* 2 (log (cbrt x))) (* x (log (cbrt x))))
311.0ms	(* x (log (cbrt x)))
169.0ms	(cbrt x)
176.0ms	(cbrt x)

simplify88.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	165	411
1	635	366
2	2715	343
3	5001	333

prune166.0ms

Filtered

82 candidates to 65 candidates (79.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	82	7	89

Merged error: 0b

Counts

89 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (fma (log (pow x 1/3)) 2 (log (cbrt (sqrt x)))))
0.6b	(cbrt (sqrt x))
0.6b	(cbrt (sqrt x))
5.1b	(pow x 1/3)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log`
6×	`sqrt-prod` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-r` `associate-l`
2×	`pow1/3` `fma-udef`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `unpow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

3.0ms	(* x (fma (log (pow x 1/3)) 2 (log (cbrt (sqrt x)))))
2.0ms	(cbrt (sqrt x))
2.0ms	(cbrt (sqrt x))
2.0ms	(pow x 1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

630.0ms	(* x (fma (log (pow x 1/3)) 2 (log (cbrt (sqrt x)))))
145.0ms	(cbrt (sqrt x))
142.0ms	(cbrt (sqrt x))
163.0ms	(pow x 1/3)

simplify41.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	281	473
1	1196	420
2	5001	380

prune235.0ms

Filtered

86 candidates to 71 candidates (82.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	86	7	93

Merged error: 0b

Counts

93 → 7

regimes52.0ms

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	4	2
1	4	2

end0.0ms

sample501.0ms

Algorithm

intervals

Results

198.0ms	8040×	body	80	valid
133.0ms	8119×	body	80	nan