Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

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 1.0) (- 1.0 x))

rewrite13.0ms

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:

11.0ms

(/ (+ x 1.0) (- 1.0 x))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(/ (+ x 1.0) (- 1.0 x))

simplify85.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	205	309
1	681	292
2	2801	286
3	5002	286

prune66.0ms

Filtered

48 candidates to 32 candidates (66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	4	49

Merged error: 0b

Counts

49 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 x) (+ x 1.0))
0.0b	(/ 1 (/ (- 1.0 x) (+ x 1.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
174×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
30×	`associate-/r*`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `div-sub` `flip--` `inv-pow`

Counts

2 → 174

Calls

2 calls:

7.0ms	(/ (- 1.0 x) (+ x 1.0))
11.0ms	(/ 1 (/ (- 1.0 x) (+ x 1.0)))

series65.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1.0 x) (+ x 1.0))
32.0ms	(/ 1 (/ (- 1.0 x) (+ x 1.0)))

simplify71.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	542	1504
1	2551	1350
2	5001	1213

prune142.0ms

Filtered

180 candidates to 79 candidates (43.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	181	3	184

Merged error: 0b

Counts

184 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 x) (+ x 1.0))
0.0b	(/ 1 (log (exp (/ (- 1.0 x) (+ x 1.0)))))
0.0b	(log (exp (/ (- 1.0 x) (+ x 1.0))))
0.0b	(exp (/ (- 1.0 x) (+ x 1.0)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

241×	`*-un-lft-identity`
230×	`times-frac`
169×	`add-sqr-sqrt`
156×	`exp-prod`
135×	`log-pow`
111×	`add-cube-cbrt`
36×	`distribute-lft-out`
34×	`associate-/r*`
29×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/r/`
10×	`pow1` `add-exp-log`
8×	`add-cbrt-cube` `div-inv` `associate-/l*`
7×	`flip3-+` `flip-+`
5×	`add-log-exp`
3×	`log-prod` `div-sub` `div-exp`
2×	`cbrt-undiv` `frac-2neg` `exp-diff` `clear-num` `associate-/l/`
1×	`log-div` `rec-exp` `flip3--` `pow-flip` `1-exp` `rem-log-exp` `flip--` `rem-exp-log` `inv-pow`

Counts

4 → 259

Calls

4 calls:

8.0ms	(/ (- 1.0 x) (+ x 1.0))
14.0ms	(/ 1 (log (exp (/ (- 1.0 x) (+ x 1.0)))))
10.0ms	(log (exp (/ (- 1.0 x) (+ x 1.0))))
9.0ms	(exp (/ (- 1.0 x) (+ x 1.0)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (- 1.0 x) (+ x 1.0))
33.0ms	(/ 1 (log (exp (/ (- 1.0 x) (+ x 1.0)))))
33.0ms	(log (exp (/ (- 1.0 x) (+ x 1.0))))
91.0ms	(exp (/ (- 1.0 x) (+ x 1.0)))

simplify74.0ms

Algorithm

egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	609	2246
1	2335	1918
2	5002	1732

prune304.0ms

Filtered

271 candidates to 142 candidates (52.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	271	0	271
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	271	3	274

Merged error: 0b

Counts

274 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (+ x 1.0) (- 1.0 x)))
0.0b	(cbrt (/ (+ x 1.0) (- 1.0 x)))
0.0b	(cbrt (/ (+ x 1.0) (- 1.0 x)))
0.0b	(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

306×	`*-un-lft-identity`
238×	`cbrt-prod`
190×	`times-frac`
174×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
53×	`distribute-lft-out`
51×	`swap-sqr`
44×	`distribute-lft-out--`
32×	`difference-of-squares`
29×	`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×	`add-cbrt-cube` `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 → 244

Calls

4 calls:

7.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
7.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
6.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
30.0ms	(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))

series570.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
138.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
133.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
156.0ms	(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))

simplify72.0ms

Algorithm

egg-herbie

Counts

256 → 256

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	396	3081
1	1406	3008
2	5001	2792

prune428.0ms

Filtered

256 candidates to 152 candidates (59.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	256	3	259

Merged error: 0b

Counts

259 → 3

regimes25.0ms

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	6	3
1	6	3

end0.0ms

sample223.0ms

Algorithm

intervals

Results

134.0ms

8000×

body

valid