Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune1.0ms

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

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))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(/ x (+ x y))

simplify77.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	118	153
1	378	144
2	1024	144
3	3620	144
4	5001	144

prune44.0ms

Filtered

36 candidates to 25 candidates (69.4%)

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: 0b

Counts

37 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.2b	(pow (/ x (+ x y)) 3)
11.3b	(cbrt (pow (/ x (+ x y)) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
60×	`times-frac`
46×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`cbrt-prod`
36×	`unpow-prod-down` `cube-prod`
16×	`distribute-lft-out`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `flip-+` `div-inv`
4×	`pow1` `associate-/r*`
3×	`pow-unpow` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `rem-cbrt-cube`

Counts

3 → 141

Calls

3 calls:

5.0ms	(/ x (+ x y))
7.0ms	(pow (/ x (+ x y)) 3)
7.0ms	(cbrt (pow (/ x (+ x y)) 3))

series178.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ x (+ x y))
80.0ms	(pow (/ x (+ x y)) 3)
59.0ms	(cbrt (pow (/ x (+ x y)) 3))

simplify51.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	387	800
1	1768	725
2	5002	717

prune140.0ms

Filtered

150 candidates to 69 candidates (46.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

153 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x y))
0.1b	(* (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))))
0.1b	(/ 1 (sqrt (+ x y)))
0.1b	(/ x (sqrt (+ x y)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

112×	`add-sqr-sqrt`
106×	`times-frac`
101×	`*-un-lft-identity`
71×	`sqrt-prod`
65×	`add-cube-cbrt`
32×	`add-exp-log`
27×	`associate-r` `associate-l`
20×	`add-cbrt-cube`
15×	`distribute-lft-out` `unswap-sqr`
14×	`associate-/r*`
11×	`div-exp`
10×	`sqrt-div`
9×	`pow1`
8×	`prod-exp` `associate-/r/`
6×	`cbrt-undiv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-unprod` `div-inv` `add-log-exp`
3×	`rec-exp` `pow-flip` `1-exp`
2×	`frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`
1×	`frac-times` `rem-sqrt-square` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

4 → 205

Calls

4 calls:

3.0ms	(sqrt (+ x y))
26.0ms	(* (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))))
6.0ms	(/ 1 (sqrt (+ x y)))
6.0ms	(/ x (sqrt (+ x y)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sqrt (+ x y))
59.0ms	(* (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))))
62.0ms	(/ 1 (sqrt (+ x y)))
74.0ms	(/ x (sqrt (+ x y)))

simplify99.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	632	1721
1	3055	1471
2	5001	1345

prune267.0ms

Filtered

217 candidates to 119 candidates (54.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	217	0	217
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	217	3	220

Merged error: 0b

Counts

220 → 3

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

sample270.0ms

Algorithm

intervals

Results

146.0ms

8000×

body

valid