Details

analyze8.0ms

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

sample13.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4911	6
1	4911	6

prune5.0ms

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))

rewrite5.0ms

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:

5.0ms

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

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify83.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4951	122
1	4951	122

prune27.0ms

Filtered

14 candidates to 18 candidates (-28.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Merged error: 0.0b

Counts

19 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:

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

series17.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(pow (exp x) x)
13.0ms	(/ (pow (exp x) x) (exp 1.0))

simplify29.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5083	716

prune79.0ms

Filtered

48 candidates to 71 candidates (-47.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	71	2	73

Merged error: 0b

Counts

73 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

103×	`add-sqr-sqrt`
83×	`sqrt-prod`
76×	`times-frac`
56×	`add-cube-cbrt` `*-un-lft-identity`
39×	`unpow-prod-down`
34×	`associate-r`
20×	`unswap-sqr`
19×	`sqr-pow`
11×	`add-cbrt-cube`
10×	`associate-l` `associate-/l*`
9×	`add-exp-log`
8×	`pow1` `pow-pow`
6×	`pow-unpow` `exp-prod`
4×	`add-log-exp`
3×	`associate-/r*`
2×	`cbrt-undiv` `pow-to-exp` `div-exp` `pow-exp` `prod-exp` `cbrt-unprod` `div-inv`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 173

Calls

4 calls:

3.0ms	(pow (exp x) x)
4.0ms	(pow (exp x) x)
20.0ms	(* (sqrt (pow (exp x) x)) (/ (sqrt (pow (exp x) x)) (exp 1.0)))
7.0ms	(/ (sqrt (pow (exp x) x)) (exp 1.0))

series34.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(pow (exp x) x)
4.0ms	(pow (exp x) x)
12.0ms	(* (sqrt (pow (exp x) x)) (/ (sqrt (pow (exp x) x)) (exp 1.0)))
15.0ms	(/ (sqrt (pow (exp x) x)) (exp 1.0))

simplify82.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5822	2228

prune177.0ms

Filtered

110 candidates to 185 candidates (-68.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	185	2	187

Merged error: 0b

Counts

187 → 2

regimes48.0ms

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	5	6
1	5	6

end0.0ms

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

sample336.0ms

Algorithm

intervals

Results

242.0ms	8000×	body	80	valid
0.0ms	3×	body	80	invalid

Details

analyze8.0ms

sample13.0ms

simplify63.0ms

prune5.0ms

localize5.0ms

rewrite5.0ms

series4.0ms

simplify83.0ms

prune27.0ms

localize10.0ms

rewrite11.0ms

series17.0ms

simplify29.0ms

prune79.0ms

localize10.0ms

rewrite41.0ms

series34.0ms

simplify82.0ms

prune177.0ms

regimes48.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze4.0ms

sample336.0ms

Profiling