Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

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` `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:

5.0ms

(/ x (+ x y))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(/ x (+ x y))

simplify85.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	121	159
1	393	150
2	1065	150
3	3830	150
4	5002	150

prune59.0ms

Filtered

38 candidates to 27 candidates (71.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	4	39

Merged error: 0b

Counts

39 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (/ x (+ x y)))
0.0b	(/ x (+ x y))
0.0b	(expm1 (log1p (/ x (+ x y))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
5×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-/r*` `distribute-lft-out`
3×	`pow1` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`associate-/r/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `frac-2neg` `flip3-+` `log1p-expm1` `div-exp` `clear-num` `flip-+` `div-inv` `expm1-udef`

Counts

3 → 57

Calls

3 calls:

1.0ms	(log1p (/ x (+ x y)))
5.0ms	(/ x (+ x y))
1.0ms	(expm1 (log1p (/ x (+ x y))))

series181.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(log1p (/ x (+ x y)))
38.0ms	(/ x (+ x y))
75.0ms	(expm1 (log1p (/ x (+ x y))))

simplify84.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	144	250
1	426	229
2	1102	229
3	3875	229
4	5001	229

prune131.0ms

Filtered

66 candidates to 48 candidates (72.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	66	4	70

Merged error: 0b

Counts

70 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
8.3b	(cbrt (/ x (+ x y)))
8.3b	(cbrt (/ x (+ x y)))
8.3b	(cbrt (/ x (+ x y)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

150×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`swap-sqr` `distribute-lft-out`
21×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 188

Calls

4 calls:

21.0ms	(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
5.0ms	(cbrt (/ x (+ x y)))
5.0ms	(cbrt (/ x (+ x y)))
5.0ms	(cbrt (/ x (+ x y)))

series521.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
129.0ms	(cbrt (/ x (+ x y)))
123.0ms	(cbrt (/ x (+ x y)))
129.0ms	(cbrt (/ x (+ x y)))

simplify80.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	269	1752
1	867	1700
2	3177	1620
3	5002	1615

prune434.0ms

Filtered

200 candidates to 142 candidates (71.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	0	1
Picked	0	1	1
Done	1	1	2
Total	201	3	204

Merged error: 0b

Counts

204 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

8.2b	(sqrt (/ x (+ x y)))
8.2b	(sqrt (/ x (+ x y)))
8.3b	(cbrt (/ x (+ x y)))
8.3b	(cbrt (/ x (+ x y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
50×	`times-frac`
42×	`add-sqr-sqrt`
36×	`cbrt-prod` `add-cube-cbrt` `sqrt-prod`
12×	`distribute-lft-out`
8×	`associate-/r/`
6×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`cbrt-div` `sqrt-pow1` `pow1/2` `pow1/3` `sqrt-div`

Counts

4 → 122

Calls

4 calls:

5.0ms	(sqrt (/ x (+ x y)))
5.0ms	(sqrt (/ x (+ x y)))
5.0ms	(cbrt (/ x (+ x y)))
5.0ms	(cbrt (/ x (+ x y)))

series365.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(sqrt (/ x (+ x y)))
62.0ms	(sqrt (/ x (+ x y)))
122.0ms	(cbrt (/ x (+ x y)))
127.0ms	(cbrt (/ x (+ x y)))

simplify68.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 4 (51.0ms)

Iter	Nodes	Cost
0	164	816
1	281	776
2	592	766
3	1286	754
4	5001	750

prune386.0ms

Filtered

134 candidates to 104 candidates (77.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	134	3	137

Merged error: 0b

Counts

137 → 3

regimes41.0ms

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

sample260.0ms

Algorithm

intervals

Results

132.0ms

8000×

body

valid