Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

293×

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

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: 0.0b

Counts

2 → 1

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)

series49.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (+ (* x y) x) y)
34.0ms	(+ (* 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

prune36.0ms

Filtered

31 candidates to 21 candidates (67.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Merged error: 0.0b

Counts

32 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

12.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
4.0ms	(cbrt (+ (* x y) x))
4.0ms	(cbrt (+ (* x y) x))
4.0ms	(cbrt (+ (* x y) x))

series469.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
66.0ms	(cbrt (+ (* x y) x))
61.0ms	(cbrt (+ (* x y) x))
70.0ms	(cbrt (+ (* x y) x))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	346	1018
1	1249	963
2	5001	888

prune219.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Merged error: 0.0b

Counts

101 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (sqrt (+ (* x y) x))) (cbrt (sqrt (+ (* x y) x))))
0.5b	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
0.6b	(cbrt (+ (* x y) x))
0.6b	(cbrt (+ (* x y) x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-prod`
56×	`add-sqr-sqrt`
28×	`cbrt-div`
26×	`add-cube-cbrt` `*-un-lft-identity`
20×	`sqrt-prod`
18×	`pow1`
17×	`swap-sqr`
15×	`associate-r` `associate-l`
14×	`flip3-+` `pow1/3` `flip-+`
13×	`unswap-sqr`
12×	`sqrt-div`
8×	`add-exp-log` `frac-times`
4×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 138

Calls

4 calls:

13.0ms	(* (cbrt (sqrt (+ (* x y) x))) (cbrt (sqrt (+ (* x y) x))))
11.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
4.0ms	(cbrt (+ (* x y) x))
6.0ms	(cbrt (+ (* x y) x))

series259.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (cbrt (sqrt (+ (* x y) x))) (cbrt (sqrt (+ (* x y) x))))
73.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
60.0ms	(cbrt (+ (* x y) x))
63.0ms	(cbrt (+ (* x y) x))

simplify56.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	430	1788
1	1603	1699
2	5002	1556

prune354.0ms

Filtered

150 candidates to 97 candidates (64.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	150	3	153

Merged error: 0.0b

Counts

153 → 3

regimes44.0ms

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

sample438.0ms

Algorithm

intervals

Results

249.0ms	9179×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid