Details

sample62.0ms

Algorithm

intervals

Results

33.0ms	71×	body	1280	valid
11.0ms	50×	body	640	valid
3.0ms	23×	body	320	valid
2.0ms	94×	body	80	valid
2.0ms	98×	body	80	nan
1.0ms	18×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

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: 38.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

5.6b	(log (+ 1.0 x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

simplify37.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	128	97
1	354	87
2	1280	81
3	5001	78

prune37.0ms

Filtered

13 candidates to 18 candidates (-38.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	4	19

Merged error: 0.1b

Counts

19 → 4

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
2×	`diff-log` `associate-*r/` `frac-sub`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `flip3-+` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `flip-+`

Counts

1 → 16

Calls

1 calls:

6.0ms

(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify120.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	181	250
1	733	231
2	4310	220
3	5001	220

prune49.0ms

Filtered

14 candidates to 19 candidates (-35.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	18	5	23

Merged error: 0.1b

Counts

23 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (log (+ 1.0 x)))
0.6b	(exp (log (log (+ 1.0 x))))
5.6b	(log (+ 1.0 x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
9×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`add-exp-log` `log-pow`
4×	`exp-prod` `exp-sum`
3×	`add-cbrt-cube` `add-log-exp`
2×	`log-div` `rem-log-exp`
1×	`flip3-+` `flip-+` `rem-exp-log` `distribute-lft-out`

Counts

3 → 44

Calls

3 calls:

1.0ms	(log (log (+ 1.0 x)))
2.0ms	(exp (log (log (+ 1.0 x))))
3.0ms	(log (+ 1.0 x))

series13.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(log (log (+ 1.0 x)))
3.0ms	(exp (log (log (+ 1.0 x))))
3.0ms	(log (+ 1.0 x))

simplify88.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	279	340
1	911	307
2	3911	268
3	5002	262

prune71.0ms

Filtered

33 candidates to 53 candidates (-60.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	53	5	58

Merged error: 0.1b

Counts

58 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b

(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

0.0b

(log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

1.8b

(exp (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

8×	`log-div`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `-un-lft-identity` `associate-r/` `frac-sub`
5×	`pow1`
4×	`add-exp-log` `exp-prod` `exp-diff`
3×	`flip3--` `flip3-+` `exp-sum` `add-cbrt-cube` `flip--` `flip-+`
2×	`diff-log` `log-pow`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log` `rem-exp-log`

Counts

3 → 51

Calls

3 calls:

6.0ms

(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

5.0ms

(log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

8.0ms

(exp (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series17.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms

(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

7.0ms

(log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

5.0ms

(exp (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify39.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	337	903
1	1199	834
2	5002	793

prune146.0ms

Filtered

45 candidates to 60 candidates (-33.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	60	5	65

Merged error: 0.1b

Counts

65 → 5

regimes174.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	2259×	body	1280	valid
372.0ms	1653×	body	640	valid
97.0ms	822×	body	320	valid
74.0ms	2843×	body	80	valid
51.0ms	2668×	body	80	nan
29.0ms	423×	body	160	valid

Details

sample62.0ms

simplify3.0ms

prune2.0ms

localize3.0ms

rewrite3.0ms

series3.0ms

simplify37.0ms

prune37.0ms

localize9.0ms

rewrite6.0ms

series4.0ms

simplify120.0ms

prune49.0ms

localize6.0ms

rewrite7.0ms

series13.0ms

simplify88.0ms

prune71.0ms

localize12.0ms

rewrite22.0ms

series17.0ms

simplify39.0ms

prune146.0ms

regimes174.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

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