Details

analyze2.0ms

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

sample52.0ms

Algorithm

intervals

Results

26.0ms	54×	body	1280	valid
12.0ms	53×	body	640	valid
4.0ms	30×	body	320	valid
3.0ms	103×	body	80	valid
1.0ms	16×	body	160	valid

simplify2.0ms

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: 36.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

4.8b	(log (+ 1.0 x))

rewrite4.0ms

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))

simplify54.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4927	144
1	4927	144

prune38.0ms

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

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

6.0ms

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

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify22.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5264	283

prune34.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	15	5	20

Merged error: 0.1b

Counts

20 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (- 1.0 (* x 0.5)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

5.0ms

(* x (- 1.0 (* x 0.5)))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(* x (- 1.0 (* x 0.5)))

simplify40.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4987	218
1	4987	218

prune38.0ms

Filtered

16 candidates to 25 candidates (-56.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	25	5	30

Merged error: 0.1b

Counts

30 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* x 0.5)))
0.2b	(cbrt (- 1.0 (* x 0.5)))
0.2b	(cbrt (- 1.0 (* x 0.5)))
0.2b	(* (cbrt (- 1.0 (* x 0.5))) (cbrt (- 1.0 (* x 0.5))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

2.0ms	(cbrt (- 1.0 (* x 0.5)))
2.0ms	(cbrt (- 1.0 (* x 0.5)))
2.0ms	(cbrt (- 1.0 (* x 0.5)))
11.0ms	(* (cbrt (- 1.0 (* x 0.5))) (cbrt (- 1.0 (* x 0.5))))

series31.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(cbrt (- 1.0 (* x 0.5)))
7.0ms	(cbrt (- 1.0 (* x 0.5)))
8.0ms	(cbrt (- 1.0 (* x 0.5)))
8.0ms	(* (cbrt (- 1.0 (* x 0.5))) (cbrt (- 1.0 (* x 0.5))))

simplify41.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4924	1513
1	4924	1513

prune250.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	98	6	104

Merged error: 0.1b

Counts

104 → 6

regimes180.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	26
1	21	26

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2209×	body	1280	valid
392.0ms	1743×	body	640	valid
100.0ms	816×	body	320	valid
72.0ms	2824×	body	80	valid
28.0ms	408×	body	160	valid

Details

analyze2.0ms

sample52.0ms

simplify2.0ms

prune2.0ms

localize4.0ms

rewrite4.0ms

series3.0ms

simplify54.0ms

prune38.0ms

localize11.0ms

rewrite7.0ms

series4.0ms

simplify22.0ms

prune34.0ms

localize6.0ms

rewrite6.0ms

series8.0ms

simplify40.0ms

prune38.0ms

localize10.0ms

rewrite22.0ms

series31.0ms

simplify41.0ms

prune250.0ms

regimes180.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

Profiling