Details

sample16.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
3.0ms	245×	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: 0.2b

localize4.0ms

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×	`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:

4.0ms

(* x (log x))

series171.0ms

Counts

1 → 3

Calls

1 calls:

171.0ms

(* x (log x))

simplify191.0ms

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

prune47.0ms

Filtered

30 candidates to 18 candidates (60.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

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)

rewrite26.0ms

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)))
13.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

327.0ms	(* x (log (cbrt x)))
340.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
173.0ms	(cbrt x)
171.0ms	(cbrt x)

simplify55.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (47.0ms)

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

prune337.0ms

Filtered

123 candidates to 102 candidates (82.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (pow x 1/3)))
0.3b	(+ (* x (* 2 (log (cbrt x)))) (pow (* x (log (pow x 1/3))) 1))
0.6b	(cbrt x)
5.0b	(pow x 1/3)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

38×	`log-prod`
31×	`distribute-rgt-in` `distribute-lft-in`
24×	`associate-+l+`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
9×	`unpow-prod-down`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`pow-unpow` `associate-l` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `fma-def` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

5.0ms	(* x (log (pow x 1/3)))
13.0ms	(+ (* x (* 2 (log (cbrt x)))) (pow (* x (log (pow x 1/3))) 1))
0.0ms	(cbrt x)
1.0ms	(pow x 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

331.0ms	(* x (log (pow x 1/3)))
468.0ms	(+ (* x (* 2 (log (cbrt x)))) (pow (* x (log (pow x 1/3))) 1))
178.0ms	(cbrt x)
182.0ms	(pow x 1/3)

simplify72.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	416	727
1	2007	599
2	5001	531

prune353.0ms

Filtered

118 candidates to 90 candidates (76.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma x (* 2 (log (cbrt x))) (pow (* x (log (pow x 1/3))) 1))
0.3b	(* x (log (pow x 1/3)))
0.6b	(cbrt x)
5.0b	(pow x 1/3)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

0.0ms	(fma x (* 2 (log (cbrt x))) (pow (* x (log (pow x 1/3))) 1))
6.0ms	(* x (log (pow x 1/3)))
0.0ms	(cbrt x)
1.0ms	(pow x 1/3)

series1.4s

Counts

4 → 12

Calls

4 calls:

699.0ms	(fma x (* 2 (log (cbrt x))) (pow (* x (log (pow x 1/3))) 1))
331.0ms	(* x (log (pow x 1/3)))
181.0ms	(cbrt x)
178.0ms	(pow x 1/3)

simplify44.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	256	454
1	1157	390
2	5002	343

prune370.0ms

Filtered

90 candidates to 63 candidates (70.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	8
1	16	8

end0.0ms

sample443.0ms

Algorithm

intervals

Results

161.0ms	8031×	body	80	valid
104.0ms	8060×	body	80	nan