Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	258×	body	80	valid
5.0ms	283×	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: 0.2b

Counts

2 → 1

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×	`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))

series183.0ms

Counts

1 → 3

Calls

1 calls:

183.0ms

(* x (log x))

simplify188.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	93	115
1	346	99
2	1044	92
3	4253	92
4	5002	92

prune39.0ms

Filtered

28 candidates to 16 candidates (57.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	20	8	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	9	29

Merged error: 0.0b

Counts

29 → 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)

rewrite24.0ms

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:

8.0ms	(* x (log (cbrt x)))
10.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

329.0ms	(* x (log (cbrt x)))
347.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
175.0ms	(cbrt x)
174.0ms	(cbrt x)

simplify54.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (46.0ms)

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

prune238.0ms

Filtered

114 candidates to 93 candidates (81.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	5	2	7
Picked	0	1	1
Done	0	1	1
Total	117	6	123

Merged error: 0b

Counts

123 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (cbrt x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 45

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
4.0ms	(cbrt (* (cbrt x) (cbrt x)))
2.0ms	(cbrt (cbrt x))

series849.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt x)
170.0ms	(cbrt x)
277.0ms	(cbrt (* (cbrt x) (cbrt x)))
233.0ms	(cbrt (cbrt x))

simplify107.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (99.0ms)

Iter	Nodes	Cost
0	106	215
1	236	195
2	753	185
3	3141	185
4	5001	180

prune174.0ms

Filtered

57 candidates to 50 candidates (87.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	57	6	63

Merged error: 0b

Counts

63 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (+ (* 2/3 (log x)) (log (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))))
0.4b	(* 2/3 (log x))
0.6b	(cbrt (sqrt x))
0.6b	(cbrt (sqrt x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

13.0ms	(+ (* x (+ (* 2/3 (log x)) (log (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))))
4.0ms	(* 2/3 (log x))
2.0ms	(cbrt (sqrt x))
2.0ms	(cbrt (sqrt x))

series1.0s

Counts

4 → 12

Calls

4 calls:

561.0ms	(+ (* x (+ (* 2/3 (log x)) (log (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))))
134.0ms	(* 2/3 (log x))
194.0ms	(cbrt (sqrt x))
158.0ms	(cbrt (sqrt x))

simplify46.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	408	775
1	1398	704
2	5001	640

prune223.0ms

Filtered

97 candidates to 74 candidates (76.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	97	6	103

Merged error: 0b

Counts

103 → 6

regimes46.0ms

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

sample526.0ms

Algorithm

intervals

Results

200.0ms	8035×	body	80	valid
145.0ms	8211×	body	80	nan