Details

sample10.0ms

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

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:

8.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify81.0ms

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

prune65.0ms

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

localize5.0ms

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)))

rewrite31.0ms

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:

10.0ms	(/ (- 1.0 x) (+ x 1.0))
11.0ms	(/ 1 (/ (- 1.0 x) (+ x 1.0)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (- 1.0 x) (+ x 1.0))
31.0ms	(/ 1 (/ (- 1.0 x) (+ x 1.0)))

simplify65.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (49.0ms)

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

prune137.0ms

Filtered

180 candidates to 79 candidates (43.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	180	4	184

Merged error: 0b

Counts

184 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
0.3b	(cbrt (- 1.0 x))
0.3b	(cbrt (- 1.0 x))
0.3b	(cbrt (- 1.0 x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

11.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
3.0ms	(cbrt (- 1.0 x))
3.0ms	(cbrt (- 1.0 x))
3.0ms	(cbrt (- 1.0 x))

series375.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
88.0ms	(cbrt (- 1.0 x))
88.0ms	(cbrt (- 1.0 x))
90.0ms	(cbrt (- 1.0 x))

simplify144.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	316	847
1	1003	807
2	4432	753
3	5001	749

prune273.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	113	4	117

Merged error: 0b

Counts

117 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (pow x 2) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`add-log-exp`
2×	`unpow2`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `distribute-rgt-out` `distribute-lft1-in` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

5.0ms

(+ (pow x 2) x)

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(+ (pow x 2) x)

simplify143.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	73	58
1	240	52
2	734	52
3	3304	52
4	5002	52

prune26.0ms

Filtered

17 candidates to 12 candidates (70.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	17	4	21

Merged error: 0b

Counts

21 → 4

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

136.0ms

8000×

body

valid