Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify5.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ x (+ x y))

rewrite9.0ms

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` `expm1-log1p-u` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

8.0ms

(/ x (+ x y))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(/ x (+ x y))

simplify79.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	120	159
1	390	150
2	1055	150
3	3263	150
4	5001	150

prune43.0ms

Filtered

38 candidates to 27 candidates (28.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	3	39

Merged error: 0.0b

Counts

39 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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` `expm1-log1p-u` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

2 → 93

Calls

2 calls:

6.0ms	(/ 1 (+ x y))
12.0ms	(* x (/ 1 (+ x y)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ 1 (+ x y))
44.0ms	(* x (/ 1 (+ x y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	237	376
1	1033	324
2	3524	282
3	5001	282

prune92.0ms

Filtered

99 candidates to 55 candidates (44.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Merged error: 0b

Counts

102 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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×	`expm1-log1p-u` `rec-exp` `flip3-+` `1-exp` `flip-+` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 139

Calls

2 calls:

6.0ms	(/ (+ x y) x)
10.0ms	(/ 1 (/ (+ x y) x))

series67.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (+ x y) x)
41.0ms	(/ 1 (/ (+ x y) x))

simplify46.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	377	844
1	1638	745
2	5002	646

prune114.0ms

Filtered

145 candidates to 70 candidates (51.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	145	4	149

Merged error: 0b

Counts

149 → 4

localize10.0ms

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)))

rewrite73.0ms

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×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 344

Calls

4 calls:

27.0ms	(* (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)))

series583.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))
137.0ms	(cbrt (/ 1 (+ x y)))
135.0ms	(cbrt (/ 1 (+ x y)))
135.0ms	(cbrt (/ 1 (+ x y)))

simplify82.0ms

Algorithm

egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	490	3455
1	1551	3224
2	5001	2535

prune338.0ms

Filtered

356 candidates to 140 candidates (60.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	356	0	356
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	356	4	360

Merged error: 0b

Counts

360 → 4

regimes40.0ms

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

sample257.0ms

Algorithm

intervals

Results

130.0ms

8000×

body

valid