Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

295×

body

valid

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	20	3
2	28	3
3	36	3
4	54	3
5	101	3
6	150	3
7	167	3
8	242	3
9	468	3
10	1547	3
11	5001	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) x) y)
0.0b	(+ (* x y) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

6.0ms	(+ (+ (* x y) x) y)
4.0ms	(+ (* x y) x)

series47.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (+ (* x y) x) y)
32.0ms	(+ (* x y) x)

simplify52.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	143	138
1	451	129
2	1660	127
3	5001	126

prune48.0ms

Filtered

31 candidates to 21 candidates (67.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) x) y)) (cbrt (+ (+ (* x y) x) y)))
0.6b	(cbrt (+ (+ (* x y) x) y))
0.6b	(cbrt (+ (+ (* x y) x) y))
0.6b	(cbrt (+ (+ (* x y) x) y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

14.0ms	(* (cbrt (+ (+ (* x y) x) y)) (cbrt (+ (+ (* x y) x) y)))
5.0ms	(cbrt (+ (+ (* x y) x) y))
5.0ms	(cbrt (+ (+ (* x y) x) y))
5.0ms	(cbrt (+ (+ (* x y) x) y))

series254.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (cbrt (+ (+ (* x y) x) y)) (cbrt (+ (+ (* x y) x) y)))
56.0ms	(cbrt (+ (+ (* x y) x) y))
59.0ms	(cbrt (+ (+ (* x y) x) y))
61.0ms	(cbrt (+ (+ (* x y) x) y))

simplify48.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	344	1266
1	1268	1193
2	5002	1099

prune231.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ (* x y) x) y))
0.6b	(cbrt (+ (+ (* x y) x) y))
0.6b	(cbrt (+ (+ (* x y) x) y))
0.6b	(cbrt (+ (+ (* x y) x) y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

5.0ms	(cbrt (+ (+ (* x y) x) y))
5.0ms	(cbrt (+ (+ (* x y) x) y))
5.0ms	(cbrt (+ (+ (* x y) x) y))
7.0ms	(cbrt (+ (+ (* x y) x) y))

series236.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(cbrt (+ (+ (* x y) x) y))
61.0ms	(cbrt (+ (+ (* x y) x) y))
60.0ms	(cbrt (+ (+ (* x y) x) y))
57.0ms	(cbrt (+ (+ (* x y) x) y))

simplify60.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	179	716
1	474	672
2	1887	652
3	5002	652

prune226.0ms

Filtered

68 candidates to 60 candidates (88.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ (* x y) x) y))
0.6b	(cbrt (+ (+ (* x y) x) y))
0.6b	(cbrt (+ (+ (* x y) x) y))
0.6b	(cbrt (+ (+ (* x y) x) y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

5.0ms	(cbrt (+ (+ (* x y) x) y))
6.0ms	(cbrt (+ (+ (* x y) x) y))
8.0ms	(cbrt (+ (+ (* x y) x) y))
6.0ms	(cbrt (+ (+ (* x y) x) y))

series241.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(cbrt (+ (+ (* x y) x) y))
61.0ms	(cbrt (+ (+ (* x y) x) y))
61.0ms	(cbrt (+ (+ (* x y) x) y))
60.0ms	(cbrt (+ (+ (* x y) x) y))

simplify62.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	179	716
1	474	672
2	1887	652
3	5002	652

prune215.0ms

Filtered

68 candidates to 60 candidates (88.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample289.0ms

Algorithm

intervals

Results

156.0ms

9142×

body

valid