Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

sample61.0ms

Algorithm

intervals

Results

37.0ms	72×	body	1280	valid
10.0ms	44×	body	640	valid
4.0ms	32×	body	320	valid
2.0ms	92×	body	80	valid
1.0ms	16×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	4
1	5	4

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: 38.3b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

4.7b	(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))

simplify55.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4927	144
1	4927	144

prune35.0ms

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: 0.0b

Counts

19 → 4

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 x) (+ (log 1.0) (* (* x x) (/ -1/2 (* 1.0 1.0)))))
0.2b	(* (* x x) (/ -1/2 (* 1.0 1.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
11×	`prod-exp` `cbrt-unprod`
7×	`pow1` `associate-r`
6×	`add-sqr-sqrt` `add-log-exp`
4×	`cbrt-undiv` `add-cube-cbrt` `*-un-lft-identity` `times-frac` `div-exp`
3×	`pow-prod-down` `sum-log`
2×	`unswap-sqr`
1×	`+-commutative` `associate-+r+` `flip3-+` `associate-r/` `associate-l` `-commutative` `flip-+` `div-inv`

Counts

2 → 46

Calls

2 calls:

7.0ms	(+ (* 1.0 x) (+ (log 1.0) (* (* x x) (/ -1/2 (* 1.0 1.0)))))
9.0ms	(* (* x x) (/ -1/2 (* 1.0 1.0)))

series7.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (* 1.0 x) (+ (log 1.0) (* (* x x) (/ -1/2 (* 1.0 1.0)))))
3.0ms	(* (* x x) (/ -1/2 (* 1.0 1.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4979	602
1	4979	602

prune69.0ms

Filtered

32 candidates to 52 candidates (-62.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	52	4	56

Merged error: 0.0b

Counts

56 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 1.0 x))
0.2b	(cbrt (+ 1.0 x))
4.3b	(log (cbrt (+ 1.0 x)))
4.3b	(log (cbrt (+ 1.0 x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`cbrt-prod`
14×	`log-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`cbrt-div`
6×	`pow1` `add-exp-log`
4×	`log-div` `flip3-+` `pow1/3` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`rem-log-exp`

Counts

4 → 66

Calls

4 calls:

3.0ms	(cbrt (+ 1.0 x))
3.0ms	(cbrt (+ 1.0 x))
4.0ms	(log (cbrt (+ 1.0 x)))
4.0ms	(log (cbrt (+ 1.0 x)))

series29.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt (+ 1.0 x))
8.0ms	(cbrt (+ 1.0 x))
7.0ms	(log (cbrt (+ 1.0 x)))
8.0ms	(log (cbrt (+ 1.0 x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5071	730

prune149.0ms

Filtered

58 candidates to 78 candidates (-34.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	77	5	82

Merged error: 0.0b

Counts

82 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 1.0 x))
4.3b	(log (cbrt (+ 1.0 x)))
4.4b	(log (cbrt (sqrt (+ 1.0 x))))
4.4b	(log (cbrt (sqrt (+ 1.0 x))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

27×	`log-prod`
22×	`cbrt-prod`
21×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`cbrt-div` `sqrt-prod`
7×	`pow1` `add-exp-log`
6×	`log-div` `log-pow`
4×	`flip3-+` `pow1/3` `sqrt-div` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
3×	`rem-log-exp`

Counts

4 → 77

Calls

4 calls:

3.0ms	(cbrt (+ 1.0 x))
4.0ms	(log (cbrt (+ 1.0 x)))
6.0ms	(log (cbrt (sqrt (+ 1.0 x))))
5.0ms	(log (cbrt (sqrt (+ 1.0 x))))

series29.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt (+ 1.0 x))
7.0ms	(log (cbrt (+ 1.0 x)))
8.0ms	(log (cbrt (sqrt (+ 1.0 x))))
8.0ms	(log (cbrt (sqrt (+ 1.0 x))))

simplify47.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5059	911

prune219.0ms

Filtered

63 candidates to 89 candidates (-41.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	89	5	94

Merged error: 0.0b

Counts

94 → 5

regimes156.0ms

Accuracy

98.4% (0.3b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 21.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	26
1	21	26

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	2248×	body	1280	valid
379.0ms	1644×	body	640	valid
97.0ms	821×	body	320	valid
77.0ms	2846×	body	80	valid
34.0ms	441×	body	160	valid

Details

analyze3.0ms

sample61.0ms

simplify3.0ms

prune2.0ms

localize4.0ms

rewrite3.0ms

series3.0ms

simplify55.0ms

prune35.0ms

localize12.0ms

rewrite17.0ms

series7.0ms

simplify56.0ms

prune69.0ms

localize7.0ms

rewrite15.0ms

series29.0ms

simplify44.0ms

prune149.0ms

localize13.0ms

rewrite20.0ms

series29.0ms

simplify47.0ms

prune219.0ms

regimes156.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

Profiling