Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	259×	body	80	valid
3.0ms	262×	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))

series179.0ms

Counts

1 → 3

Calls

1 calls:

179.0ms

(* 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	1037	98
3	4522	98
4	5001	98

prune41.0ms

Filtered

30 candidates to 18 candidates (60.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	23	7	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	8	31

Merged error: 0.0b

Counts

31 → 8

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)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

62×	`associate-r`
49×	`*-un-lft-identity`
48×	`log-prod`
42×	`add-sqr-sqrt`
36×	`distribute-rgt-in` `distribute-lft-in`
33×	`add-cube-cbrt`
30×	`cbrt-prod`
24×	`associate-+l+` `fma-def`
19×	`associate-l`
16×	`pow1`
14×	`log-pow`
13×	`distribute-rgt-out`
12×	`associate-+r+`
11×	`distribute-lft-out`
6×	`add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
5×	`*-commutative` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `flip-+`

Counts

4 → 157

Calls

4 calls:

5.0ms	(* x (log (cbrt x)))
31.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

336.0ms	(* x (log (cbrt x)))
349.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
178.0ms	(cbrt x)
180.0ms	(cbrt x)

simplify72.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	443	841
1	2210	692
2	5001	645

prune339.0ms

Filtered

169 candidates to 132 candidates (78.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	165	4	169
Fresh	6	0	6
Picked	1	0	1
Done	0	1	1
Total	172	5	177

Merged error: 0b

Counts

177 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (* x 1) (* 2 (log (cbrt x))) (* x (log (cbrt x))))
0.2b	(* x (log (cbrt x)))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite10.0ms

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 1) (* 2 (log (cbrt x))) (* x (log (cbrt x))))
5.0ms	(* x (log (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.4s

Counts

4 → 12

Calls

4 calls:

688.0ms	(fma (* x 1) (* 2 (log (cbrt x))) (* x (log (cbrt x))))
335.0ms	(* x (log (cbrt x)))
186.0ms	(cbrt x)
182.0ms	(cbrt x)

simplify87.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	167	423
1	643	375
2	2661	353
3	5002	340

prune184.0ms

Filtered

82 candidates to 65 candidates (79.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	82	5	87

Merged error: 0b

Counts

87 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-r`
27×	`add-cube-cbrt` `*-un-lft-identity`
24×	`cbrt-prod`
18×	`associate-l`
16×	`sqrt-prod`
14×	`unswap-sqr`
13×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `pow1/3` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`

Counts

4 → 134

Calls

4 calls:

15.0ms	(* (sqrt x) (* (sqrt x) (log (cbrt x))))
6.0ms	(* (sqrt x) (log (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series844.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(* (sqrt x) (* (sqrt x) (log (cbrt x))))
238.0ms	(* (sqrt x) (log (cbrt x)))
181.0ms	(cbrt x)
182.0ms	(cbrt x)

simplify55.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	381	981
1	1638	859
2	5001	835

prune267.0ms

Filtered

146 candidates to 90 candidates (61.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	146	5	151

Merged error: 0b

Counts

151 → 5

regimes46.0ms

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	14	8
1	18	8
2	18	8

end0.0ms

sample442.0ms

Algorithm

intervals

Results

161.0ms	8037×	body	80	valid
105.0ms	7859×	body	80	nan