Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	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 1 expressions with local error:

0.0b	(/ (+ x y) (- x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 47

Calls

1 calls:

7.0ms

(/ (+ x y) (- x y))

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(/ (+ x y) (- x y))

simplify50.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	174	296
1	526	282
2	1532	278
3	5001	278

prune76.0ms

Filtered

50 candidates to 34 candidates (68.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	4	51

Merged error: 0.0b

Counts

51 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x y) (- x y))
0.0b	(cbrt (pow (/ (+ x y) (- x y)) 3))
0.0b	(pow (/ (+ x y) (- x y)) 3)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
100×	`times-frac`
98×	`add-sqr-sqrt`
58×	`cbrt-prod`
56×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `associate-/r*` `flip--` `div-inv`
4×	`pow1` `associate-/l*`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `rem-cbrt-cube` `flip-+`

Counts

3 → 191

Calls

3 calls:

8.0ms	(/ (+ x y) (- x y))
11.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
13.0ms	(pow (/ (+ x y) (- x y)) 3)

series229.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ (+ x y) (- x y))
88.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
77.0ms	(pow (/ (+ x y) (- x y)) 3)

simplify72.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	493	1433
1	2148	1337
2	5001	1319

prune216.0ms

Filtered

200 candidates to 92 candidates (46.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	200	4	204

Merged error: 0.0b

Counts

204 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x y) (- x y))
0.0b	(cbrt (/ (+ x y) (- x y)))
0.0b	(cbrt (/ (+ x y) (- x y)))
0.0b	(cbrt (/ (+ x y) (- x y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

121×	`*-un-lft-identity`
80×	`times-frac`
79×	`add-sqr-sqrt`
78×	`cbrt-prod`
45×	`add-cube-cbrt`
21×	`distribute-lft-out`
17×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r*`
4×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
3×	`cbrt-div` `pow1/3`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+`

Counts

4 → 158

Calls

4 calls:

8.0ms	(/ (+ x y) (- x y))
7.0ms	(cbrt (/ (+ x y) (- x y)))
7.0ms	(cbrt (/ (+ x y) (- x y)))
8.0ms	(cbrt (/ (+ x y) (- x y)))

series697.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ (+ x y) (- x y))
210.0ms	(cbrt (/ (+ x y) (- x y)))
209.0ms	(cbrt (/ (+ x y) (- x y)))
210.0ms	(cbrt (/ (+ x y) (- x y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	228	1316
1	600	1269
2	1689	1250
3	5001	1235

prune360.0ms

Filtered

170 candidates to 121 candidates (71.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	169	5	174

Merged error: 0b

Counts

174 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (expm1 (log1p (pow (/ (+ x y) (- x y)) 3))))
0.0b	(/ (+ x y) (- x y))
0.0b	(pow (/ (+ x y) (- x y)) 3)
1.9b	(log1p (pow (/ (+ x y) (- x y)) 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
63×	`add-sqr-sqrt`
60×	`times-frac`
37×	`add-cube-cbrt`
26×	`unpow-prod-down` `cube-prod`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/`
5×	`pow1` `expm1-log1p-u` `associate-/r*`
4×	`log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `flip3--` `flip--` `div-inv`
2×	`cbrt-undiv` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `pow-to-exp` `log1p-udef` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `unpow3` `log1p-expm1` `clear-num` `flip-+` `sqr-pow`

Counts

4 → 145

Calls

4 calls:

1.0ms	(cbrt (expm1 (log1p (pow (/ (+ x y) (- x y)) 3))))
12.0ms	(/ (+ x y) (- x y))
10.0ms	(pow (/ (+ x y) (- x y)) 3)
1.0ms	(log1p (pow (/ (+ x y) (- x y)) 3))

series829.0ms

Counts

4 → 12

Calls

4 calls:

575.0ms	(cbrt (expm1 (log1p (pow (/ (+ x y) (- x y)) 3))))
67.0ms	(/ (+ x y) (- x y))
76.0ms	(pow (/ (+ x y) (- x y)) 3)
111.0ms	(log1p (pow (/ (+ x y) (- x y)) 3))

simplify63.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	495	1073
1	2057	971
2	5002	960

prune238.0ms

Filtered

157 candidates to 86 candidates (54.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	157	5	162

Merged error: 0b

Counts

162 → 5

regimes61.0ms

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	9	5
1	9	5

end0.0ms

sample305.0ms

Algorithm

intervals

Results

178.0ms

8000×

body

valid