Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

284×

body

valid

simplify114.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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:

14.0ms	(+ (+ (* x y) x) y)
3.0ms	(+ (* x y) x)

series9.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (+ (* x y) x) y)
5.0ms	(+ (* x y) x)

simplify52.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (48.0ms)

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

prune136.0ms

Pruning

4 alts after pruning (3 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))

rewrite102.0ms

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:

73.0ms	(* (cbrt (+ (+ (* x y) x) y)) (cbrt (+ (+ (* x y) x) y)))
9.0ms	(cbrt (+ (+ (* x y) x) y))
9.0ms	(cbrt (+ (+ (* x y) x) y))
9.0ms	(cbrt (+ (+ (* x y) x) y))

series76.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt (+ (+ (* x y) x) y)) (cbrt (+ (+ (* x y) x) y)))
16.0ms	(cbrt (+ (+ (* x y) x) y))
17.0ms	(cbrt (+ (+ (* x y) x) y))
18.0ms	(cbrt (+ (+ (* x y) x) y))

simplify46.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (35.0ms)

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

prune742.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-div`
24×	`cbrt-prod`
14×	`flip3-+` `flip-+`
12×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `frac-times` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `pow1/3` `associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp`
2×	`distribute-lft-out`

Counts

4 → 68

Calls

4 calls:

23.0ms	(cbrt (* (cbrt (+ (+ (* x y) x) y)) (cbrt (+ (+ (* x y) x) y))))
22.0ms	(cbrt (* (cbrt (+ (+ (* x y) x) y)) (cbrt (+ (+ (* x y) x) y))))
9.0ms	(cbrt (cbrt (+ (+ (* x y) x) y)))
9.0ms	(cbrt (cbrt (+ (+ (* x y) x) y)))

series84.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (* (cbrt (+ (+ (* x y) x) y)) (cbrt (+ (+ (* x y) x) y))))
24.0ms	(cbrt (* (cbrt (+ (+ (* x y) x) y)) (cbrt (+ (+ (* x y) x) y))))
16.0ms	(cbrt (cbrt (+ (+ (* x y) x) y)))
17.0ms	(cbrt (cbrt (+ (+ (* x y) x) y)))

simplify91.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	320	1314
1	862	1244
2	3429	1212
3	5001	1212

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

9.0ms	(cbrt (cbrt (+ (+ (* x y) x) y)))
9.0ms	(cbrt (cbrt (+ (+ (* x y) x) y)))
9.0ms	(cbrt (cbrt (+ (+ (* x y) x) y)))
9.0ms	(cbrt (cbrt (+ (+ (* x y) x) y)))

series69.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt (cbrt (+ (+ (* x y) x) y)))
16.0ms	(cbrt (cbrt (+ (+ (* x y) x) y)))
19.0ms	(cbrt (cbrt (+ (+ (* x y) x) y)))
17.0ms	(cbrt (cbrt (+ (+ (* x y) x) y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	194	940
1	491	896
2	1908	876
3	5002	876

prune1.5s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes199.0ms

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

sample431.0ms

Algorithm

intervals

Results

284.0ms	9210×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid