Details

sample66.0ms

Algorithm

intervals

Results

37.0ms	78×	body	1280	valid
15.0ms	64×	body	640	valid
2.0ms	82×	body	80	valid
2.0ms	15×	body	320	valid
1.0ms	78×	body	80	nan
1.0ms	17×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

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: 40.5b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

3.9b	(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))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(log (+ 1.0 x))

simplify42.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	122	95
1	327	86
2	1161	81
3	5002	78

prune40.0ms

Filtered

18 candidates to 13 candidates (72.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	5	19

Merged error: 0.2b

Counts

19 → 5

localize10.0ms

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))))

rewrite7.0ms

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))))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify125.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 2 (23.0ms)

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

prune54.0ms

Filtered

19 candidates to 14 candidates (73.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	18	6	24

Merged error: 0.2b

Counts

24 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (log (+ 1.0 x)))
0.5b	(exp (log (log (+ 1.0 x))))
3.9b	(log (+ 1.0 x))

rewrite8.0ms

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))

series176.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(log (log (+ 1.0 x)))
46.0ms	(exp (log (log (+ 1.0 x))))
41.0ms	(log (+ 1.0 x))

simplify98.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	267	330
1	841	301
2	3576	271
3	5001	265

prune90.0ms

Filtered

53 candidates to 34 candidates (64.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	53	6	59

Merged error: 0.2b

Counts

59 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (exp (* (cbrt (log (log (+ 1.0 x)))) (cbrt (log (log (+ 1.0 x)))))) (cbrt (log (log (+ 1.0 x)))))
3.9b	(log (+ 1.0 x))
3.9b	(log (+ 1.0 x))
3.9b	(log (+ 1.0 x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`log-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1`
7×	`add-exp-log` `pow-unpow`
6×	`log-div`
5×	`add-log-exp`
4×	`cbrt-prod` `log-pow` `add-cbrt-cube`
3×	`unpow-prod-down` `pow-pow` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`pow-to-exp` `exp-prod` `exp-to-pow` `pow-exp` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

7.0ms	(pow (exp (* (cbrt (log (log (+ 1.0 x)))) (cbrt (log (log (+ 1.0 x)))))) (cbrt (log (log (+ 1.0 x)))))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))

series968.0ms

Counts

4 → 12

Calls

4 calls:

838.0ms	(pow (exp (* (cbrt (log (log (+ 1.0 x)))) (cbrt (log (log (+ 1.0 x)))))) (cbrt (log (log (+ 1.0 x)))))
42.0ms	(log (+ 1.0 x))
47.0ms	(log (+ 1.0 x))
41.0ms	(log (+ 1.0 x))

simplify66.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	197	738
1	593	668
2	2167	642
3	5001	638

prune211.0ms

Filtered

80 candidates to 59 candidates (73.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	78	8	86

Merged error: 0.2b

Counts

86 → 8

regimes135.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 21.3b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	2294×	body	1280	valid
382.0ms	1675×	body	640	valid
102.0ms	835×	body	320	valid
70.0ms	2778×	body	80	valid
48.0ms	2782×	body	80	nan
28.0ms	418×	body	160	valid

Details

sample66.0ms

simplify4.0ms

prune2.0ms

localize3.0ms

rewrite3.0ms

series41.0ms

simplify42.0ms

prune40.0ms

localize10.0ms

rewrite7.0ms

series43.0ms

simplify125.0ms

prune54.0ms

localize7.0ms

rewrite8.0ms

series176.0ms

simplify98.0ms

prune90.0ms

localize12.0ms

rewrite18.0ms

series968.0ms

simplify66.0ms

prune211.0ms

regimes135.0ms

bsearch2.0ms

simplify1.0ms

end0.0ms

sample1.8s

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