Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

Counts

1 → 45

Calls

1 calls:

7.0ms

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

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify45.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	169	288
1	510	274
2	1435	270
3	5001	270

prune67.0ms

Filtered

48 candidates to 32 candidates (66.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	5	49

Merged error: 0.0b

Counts

49 → 5

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)

rewrite41.0ms

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×	`pow-unpow` `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 → 185

Calls

3 calls:

8.0ms	(/ (+ x y) (- x y))
14.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
10.0ms	(pow (/ (+ x y) (- x y)) 3)

series219.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (+ x y) (- x y))
84.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
73.0ms	(pow (/ (+ x y) (- x y)) 3)

simplify68.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	482	1409
1	2128	1316
2	5002	1298

prune194.0ms

Filtered

194 candidates to 85 candidates (43.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	193	1	194
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	194	5	199

Merged error: 0.0b

Counts

199 → 5

localize8.0ms

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)))

rewrite34.0ms

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` `flip3--` `flip--` `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 → 150

Calls

4 calls:

7.0ms	(/ (+ x y) (- x y))
7.0ms	(cbrt (/ (+ x y) (- x y)))
7.0ms	(cbrt (/ (+ x y) (- x y)))
6.0ms	(cbrt (/ (+ x y) (- x y)))

series683.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ (+ x y) (- x y))
206.0ms	(cbrt (/ (+ x y) (- x y)))
204.0ms	(cbrt (/ (+ x y) (- x y)))
209.0ms	(cbrt (/ (+ x y) (- x y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	219	1278
1	577	1231
2	1580	1212
3	5001	1197

prune301.0ms

Filtered

162 candidates to 113 candidates (69.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	161	1	162
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	162	5	167

Merged error: 0b

Counts

167 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

138×	`unpow-prod-down`
128×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
80×	`times-frac`
52×	`add-cube-cbrt`
34×	`cbrt-prod`
21×	`distribute-lft-out`
17×	`distribute-lft-out--` `difference-of-squares`
13×	`add-exp-log`
12×	`pow-unpow`
8×	`pow-exp` `associate-/r/`
6×	`sqrt-prod` `add-cbrt-cube`
5×	`pow1` `associate-/r*` `sqr-pow`
4×	`flip3--` `flip--` `div-inv` `associate-/l*` `add-log-exp`
3×	`pow-to-exp` `div-exp`
2×	`pow-pow` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `flip-+`

Counts

4 → 181

Calls

4 calls:

10.0ms	(pow (/ (+ x y) (- x y)) (sqrt 3))
12.0ms	(cbrt (pow (pow (/ (+ x y) (- x y)) (sqrt 3)) (sqrt 3)))
12.0ms	(pow (pow (/ (+ x y) (- x y)) (sqrt 3)) (sqrt 3))
8.0ms	(/ (+ x y) (- x y))

series1.4s

Counts

4 → 12

Calls

4 calls:

254.0ms	(pow (/ (+ x y) (- x y)) (sqrt 3))
642.0ms	(cbrt (pow (pow (/ (+ x y) (- x y)) (sqrt 3)) (sqrt 3)))
457.0ms	(pow (pow (/ (+ x y) (- x y)) (sqrt 3)) (sqrt 3))
64.0ms	(/ (+ x y) (- x y))

simplify117.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	522	2058
1	1495	2009
2	4851	1994
3	5002	1994

prune402.0ms

Filtered

193 candidates to 123 candidates (63.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	193	5	198

Merged error: 0b

Counts

198 → 5

regimes60.0ms

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

sample309.0ms

Algorithm

intervals

Results

180.0ms

8000×

body

valid