Details

analyze1.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

sample23.0ms

Algorithm

intervals

Results

5.0ms	42×	body	1280	valid
4.0ms	48×	body	640	valid
3.0ms	140×	body	80	valid
1.0ms	18×	body	320	valid
0.0ms	8×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	71	7
1	71	7

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: 27.8b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.5b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3` `distribute-lft-out`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+`

Counts

3 → 43

Calls

3 calls:

3.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
8.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series42.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(cbrt (+ x 1.0))
22.0ms	(cbrt x)
14.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify59.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4919	486
1	4919	486

prune87.0ms

Filtered

41 candidates to 52 candidates (-26.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	4	53

Merged error: 0.2b

Counts

53 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series91.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt x) (cbrt x))
21.0ms	(cbrt x)
23.0ms	(cbrt x)
22.0ms	(cbrt x)

simplify44.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5165	356

prune133.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	79	6	85
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	79	10	89

Merged error: 0.1b

Counts

89 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.9b	(pow (cbrt (cbrt x)) 4)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
4.0ms	(pow (cbrt (cbrt x)) 4)

series105.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
21.0ms	(cbrt x)
21.0ms	(cbrt x)
42.0ms	(pow (cbrt (cbrt x)) 4)

simplify53.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5014	328

prune151.0ms

Filtered

44 candidates to 69 candidates (-56.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	66	13	79

Merged error: 0.1b

Counts

79 → 13

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (pow (cbrt (cbrt x)) 4))
0.9b	(pow (cbrt (cbrt x)) 4)
0.9b	(pow (cbrt (cbrt x)) 4)
0.9b	(pow (cbrt (cbrt x)) 4)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

49×	`cbrt-prod`
36×	`unpow-prod-down`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow-unpow`
7×	`pow1` `add-exp-log`
6×	`pow-pow`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-exp`

Counts

4 → 93

Calls

4 calls:

4.0ms	(cbrt (pow (cbrt (cbrt x)) 4))
4.0ms	(pow (cbrt (cbrt x)) 4)
4.0ms	(pow (cbrt (cbrt x)) 4)
4.0ms	(pow (cbrt (cbrt x)) 4)

series160.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(cbrt (pow (cbrt (cbrt x)) 4))
40.0ms	(pow (cbrt (cbrt x)) 4)
42.0ms	(pow (cbrt (cbrt x)) 4)
40.0ms	(pow (cbrt (cbrt x)) 4)

simplify58.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4706	855
1	4706	855

prune297.0ms

Filtered

76 candidates to 105 candidates (-38.2%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	103	15	118

Merged error: 0.1b

Counts

118 → 15

regimes84.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	14	20

end0.0ms

sample563.0ms

Algorithm

intervals

Results

194.0ms	1644×	body	1280	valid
120.0ms	1286×	body	640	valid
98.0ms	4088×	body	80	valid
46.0ms	666×	body	320	valid
14.0ms	316×	body	160	valid

Details

analyze1.0ms

sample23.0ms

simplify5.0ms

prune2.0ms

localize6.0ms

rewrite13.0ms

series42.0ms

simplify59.0ms

prune87.0ms

localize11.0ms

rewrite11.0ms

series91.0ms

simplify44.0ms

prune133.0ms

localize17.0ms

rewrite8.0ms

series105.0ms

simplify53.0ms

prune151.0ms

localize25.0ms

rewrite17.0ms

series160.0ms

simplify58.0ms

prune297.0ms

regimes84.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample563.0ms

Profiling