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

35.0ms	75×	body	1280	valid
13.0ms	54×	body	640	valid
4.0ms	29×	body	320	valid
2.0ms	84×	body	80	valid
1.0ms	14×	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: 40.5b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

4.5b	(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))

simplify53.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4927	144
1	4927	144

prune45.0ms

Filtered

13 candidates to 18 candidates (-38.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	13	5	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	6	19

Merged error: 0.1b

Counts

19 → 6

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

9.0ms

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

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5285	305

prune50.0ms

Filtered

20 candidates to 36 candidates (-80.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	36	6	42

Merged error: 0.1b

Counts

42 → 6

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
4.5b	(log (sqrt (+ 1.0 x)))
4.5b	(log (sqrt (+ 1.0 x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

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

series19.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify42.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5007	848

prune157.0ms

Filtered

64 candidates to 84 candidates (-31.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	84	6	90

Merged error: 0.1b

Counts

90 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (+ 1.0 x)))
4.5b	(log (+ 1.0 x))
4.5b	(log (+ 1.0 x))
4.5b	(log (+ 1.0 x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

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

series22.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt (log (+ 1.0 x)))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))

simplify42.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5107	640

prune144.0ms

Filtered

51 candidates to 69 candidates (-35.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	68	7	75

Merged error: 0.1b

Counts

75 → 7

regimes209.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.1b

bsearch1.0ms

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	2369×	body	1280	valid
388.0ms	1653×	body	640	valid
104.0ms	830×	body	320	valid
75.0ms	2748×	body	80	valid
31.0ms	400×	body	160	valid

Details

analyze3.0ms

sample61.0ms

simplify2.0ms

prune2.0ms

localize4.0ms

rewrite3.0ms

series3.0ms

simplify53.0ms

prune45.0ms

localize9.0ms

rewrite10.0ms

series3.0ms

simplify44.0ms

prune50.0ms

localize6.0ms

rewrite16.0ms

series19.0ms

simplify42.0ms

prune157.0ms

localize7.0ms

rewrite12.0ms

series22.0ms

simplify42.0ms

prune144.0ms

regimes209.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample1.8s

Profiling