Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50%	0.4%	49.6%	10
50.2%	0.2%	49.6%	11
50.2%	0.1%	49.7%	12
50.2%	0%	49.8%	13
50.2%	0%	49.8%	14

sample24.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5288	6

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(exp (- (* x x) 1.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

4×	`exp-prod` `add-log-exp`
3×	`add-sqr-sqrt`
2×	`add-cube-cbrt` `*-un-lft-identity` `rem-exp-log`
1×	`pow1` `add-exp-log` `sub-neg` `exp-diff` `diff-log` `exp-sum` `add-cbrt-cube` `difference-of-squares`

Counts

1 → 15

Calls

1 calls:

8.0ms

(exp (- (* x x) 1.0))

series5.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(exp (- (* x x) 1.0))

simplify36.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4927	122
1	4927	122

prune31.0ms

Filtered

14 candidates to 18 candidates (-28.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	1	19

Merged error: 0.0b

Counts

19 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (pow (exp x) x) (exp 1.0))
0.0b	(pow (exp x) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
15×	`unpow-prod-down`
7×	`associate-/l*`
5×	`sqr-pow`
4×	`pow-pow` `add-cbrt-cube`
3×	`pow1` `add-exp-log` `pow-unpow` `exp-prod` `div-exp` `associate-/r*`
2×	`pow-to-exp` `pow-exp` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `clear-num` `div-inv`

Counts

2 → 65

Calls

2 calls:

5.0ms	(/ (pow (exp x) x) (exp 1.0))
3.0ms	(pow (exp x) x)

series19.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(/ (pow (exp x) x) (exp 1.0))
5.0ms	(pow (exp x) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4942	715
1	4942	715

prune79.0ms

Filtered

45 candidates to 71 candidates (-57.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	2	72

Merged error: 0b

Counts

72 → 2

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (cbrt (pow (pow (exp x) x) 3)) (exp 1.0))
0.0b	(pow (exp x) x)
0.0b	(cbrt (pow (pow (exp x) x) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

100×	`cbrt-prod`
69×	`times-frac`
68×	`unpow-prod-down`
59×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
35×	`cube-prod`
23×	`associate-/l*`
16×	`sqr-pow`
5×	`cube-mult` `unpow3`
4×	`pow1` `add-exp-log` `pow-pow` `add-cbrt-cube`
3×	`pow-unpow` `exp-prod` `associate-/r*` `add-log-exp`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `rem-cbrt-cube` `div-inv`

Counts

3 → 156

Calls

3 calls:

10.0ms	(/ (cbrt (pow (pow (exp x) x) 3)) (exp 1.0))
3.0ms	(pow (exp x) x)
4.0ms	(cbrt (pow (pow (exp x) x) 3))

series22.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ (cbrt (pow (pow (exp x) x) 3)) (exp 1.0))
4.0ms	(pow (exp x) x)
4.0ms	(cbrt (pow (pow (exp x) x) 3))

simplify83.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	6119	1927

prune269.0ms

Filtered

72 candidates to 165 candidates (-129.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	165	2	167

Merged error: 0b

Counts

167 → 2

regimes28.0ms

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	10
1	9	10

end0.0ms

sample761.0ms

Algorithm

intervals

Results

208.0ms

8000×

body

valid

Details

analyze4.0ms

sample24.0ms

simplify56.0ms

prune6.0ms

localize5.0ms

rewrite9.0ms

series5.0ms

simplify36.0ms

prune31.0ms

localize11.0ms

rewrite10.0ms

series19.0ms

simplify56.0ms

prune79.0ms

localize14.0ms

rewrite24.0ms

series22.0ms

simplify83.0ms

prune269.0ms

regimes28.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample761.0ms

Profiling