Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ x (+ x y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-/r*` `distribute-lft-out`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

5.0ms

(/ x (+ x y))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(/ x (+ x y))

simplify82.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	117	153
1	376	144
2	1014	144
3	3058	144
4	5001	144

prune39.0ms

Filtered

36 candidates to 25 candidates (30.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	3	37

Merged error: 0.0b

Counts

37 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x y))
0.2b	(* x (/ 1 (+ x y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
18×	`associate-r`
15×	`add-exp-log`
10×	`associate-*r/`
9×	`add-cbrt-cube`
8×	`associate-/r*` `distribute-lft-out`
7×	`associate-/l*`
5×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`associate-l` `clear-num` `un-div-inv` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

2 → 89

Calls

2 calls:

5.0ms	(/ 1 (+ x y))
11.0ms	(* x (/ 1 (+ x y)))

series78.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ 1 (+ x y))
42.0ms	(* x (/ 1 (+ x y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	232	362
1	1011	310
2	3434	268
3	5002	268

prune82.0ms

Filtered

95 candidates to 51 candidates (46.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	94	4	98

Merged error: 0b

Counts

98 → 4

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) x)
0.7b	(/ 1 (/ (+ x y) x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
99×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
18×	`distribute-lft-out`
15×	`add-exp-log`
13×	`associate-/l*`
12×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv`
4×	`cbrt-undiv` `clear-num` `associate-/l/`
3×	`pow1` `frac-2neg` `remove-double-div`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 135

Calls

2 calls:

5.0ms	(/ (+ x y) x)
9.0ms	(/ 1 (/ (+ x y) x))

series68.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ (+ x y) x)
46.0ms	(/ 1 (/ (+ x y) x))

simplify48.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	370	830
1	1607	732
2	5001	633

prune104.0ms

Filtered

141 candidates to 66 candidates (53.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	141	4	145

Merged error: 0b

Counts

145 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))
0.6b	(cbrt (/ 1 (+ x y)))
0.6b	(cbrt (/ 1 (+ x y)))
0.6b	(cbrt (/ 1 (+ x y)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

250×	`cbrt-div`
238×	`*-un-lft-identity`
166×	`cbrt-prod`
158×	`add-sqr-sqrt`
118×	`add-cube-cbrt`
112×	`times-frac`
100×	`frac-times` `associate-/r*`
75×	`associate-/l*`
52×	`distribute-lft-out`
29×	`swap-sqr`
25×	`frac-2neg` `clear-num`
21×	`associate-r` `associate-l`
16×	`unswap-sqr`
14×	`associate-/r/`
11×	`pow1`
10×	`associate-r/` `associate-l/`
9×	`pow1/3` `div-inv`
8×	`add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`add-exp-log`
4×	`cbrt-unprod` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 336

Calls

4 calls:

26.0ms	(* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))
6.0ms	(cbrt (/ 1 (+ x y)))
6.0ms	(cbrt (/ 1 (+ x y)))
6.0ms	(cbrt (/ 1 (+ x y)))

series566.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))
131.0ms	(cbrt (/ 1 (+ x y)))
134.0ms	(cbrt (/ 1 (+ x y)))
133.0ms	(cbrt (/ 1 (+ x y)))

simplify82.0ms

Algorithm

egg-herbie

Counts

348 → 348

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	481	3415
1	1518	3188
2	5002	2499

prune323.0ms

Filtered

348 candidates to 132 candidates (62.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	348	0	348
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	348	4	352

Merged error: 0b

Counts

352 → 4

regimes45.0ms

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	5	2
1	5	2

end0.0ms

sample270.0ms

Algorithm

intervals

Results

137.0ms

8000×

body

valid