Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

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

localize4.0ms

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` `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:

8.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify85.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	214	315
1	711	297
2	2979	293
3	5001	292

prune71.0ms

Filtered

50 candidates to 34 candidates (68.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	4	51

Merged error: 0b

Counts

51 → 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)))

rewrite29.0ms

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×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `div-sub` `flip--` `inv-pow`

Counts

2 → 178

Calls

2 calls:

8.0ms	(/ (- 1.0 x) (+ x 1.0))
11.0ms	(/ 1 (/ (- 1.0 x) (+ x 1.0)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1.0 x) (+ x 1.0))
35.0ms	(/ 1 (/ (- 1.0 x) (+ x 1.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	557	1519
1	2609	1361
2	5002	1223

prune144.0ms

Filtered

184 candidates to 84 candidates (45.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	186	2	188

Merged error: 0b

Counts

188 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (expm1 (log1p (/ (- 1.0 x) (+ x 1.0)))))
0.0b	(expm1 (log1p (/ (- 1.0 x) (+ x 1.0))))
0.0b	(/ (- 1.0 x) (+ x 1.0))
3.9b	(log1p (/ (- 1.0 x) (+ x 1.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
29×	`times-frac`
23×	`add-cube-cbrt`
10×	`add-exp-log`
8×	`add-cbrt-cube` `associate-/l*`
7×	`associate-/r*`
6×	`distribute-lft-out`
5×	`pow1` `expm1-log1p-u` `distribute-lft-out--` `difference-of-squares`
4×	`log1p-expm1-u` `add-log-exp`
3×	`div-exp`
2×	`cbrt-undiv` `frac-2neg` `clear-num` `associate-/r/` `div-inv` `associate-/l/`
1×	`rec-exp` `log1p-udef` `expm1-log1p` `flip3--` `pow-flip` `flip3-+` `1-exp` `div-sub` `log1p-expm1` `flip--` `flip-+` `inv-pow` `expm1-udef`

Counts

4 → 103

Calls

4 calls:

3.0ms	(/ 1 (expm1 (log1p (/ (- 1.0 x) (+ x 1.0)))))
1.0ms	(expm1 (log1p (/ (- 1.0 x) (+ x 1.0))))
8.0ms	(/ (- 1.0 x) (+ x 1.0))
1.0ms	(log1p (/ (- 1.0 x) (+ x 1.0)))

series484.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(/ 1 (expm1 (log1p (/ (- 1.0 x) (+ x 1.0)))))
157.0ms	(expm1 (log1p (/ (- 1.0 x) (+ x 1.0))))
34.0ms	(/ (- 1.0 x) (+ x 1.0))
107.0ms	(log1p (/ (- 1.0 x) (+ x 1.0)))

simplify64.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	617	995
1	2427	865
2	5002	827

prune195.0ms

Filtered

115 candidates to 82 candidates (71.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	115	2	117

Merged error: 0b

Counts

117 → 2

regimes18.0ms

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

sample218.0ms

Algorithm

intervals

Results

133.0ms

8000×

body

valid