Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	59×	body	1280	valid
3.0ms	39×	body	640	valid
3.0ms	131×	body	80	valid
1.0ms	18×	body	320	valid
0.0ms	9×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4

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: 29.6b

Counts

2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.2b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.2b	(- (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 → 44

Calls

3 calls:

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

series414.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(cbrt (+ x 1.0))
174.0ms	(cbrt x)
150.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify157.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	287	358
1	934	344
2	4833	322
3	5001	322

prune140.0ms

Filtered

53 candidates to 45 candidates (84.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	44	9	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	9	54

Merged error: 12.9b

Counts

54 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
1.6b	(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
2.2b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
23×	`cbrt-prod`
11×	`log-pow`
10×	`exp-prod`
8×	`add-cube-cbrt` `difference-of-squares`
6×	`distribute-lft-out--` `add-log-exp`
5×	`pow1` `log-prod`
4×	`add-exp-log` `add-cbrt-cube`
3×	`distribute-lft-out`
2×	`sub-neg` `cbrt-div` `pow1/3` `exp-sum`
1×	`log-div` `flip3--` `flip3-+` `exp-diff` `diff-log` `rem-log-exp` `flip--` `flip-+`

Counts

4 → 69

Calls

4 calls:

3.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
9.0ms	(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
8.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series572.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (+ x 1.0))
182.0ms	(cbrt x)
148.0ms	(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
151.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify37.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	336	568
1	1025	536
2	5001	505

prune211.0ms

Filtered

81 candidates to 66 candidates (81.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	77	4	81
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	79	11	90

Merged error: 12.9b

Counts

90 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
2.1b	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `difference-of-squares`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
10.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series731.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt x)
180.0ms	(cbrt x)
179.0ms	(cbrt x)
186.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify134.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	243	356
1	829	292
2	4198	276
3	5001	276

prune169.0ms

Filtered

58 candidates to 50 candidates (86.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	54	4	58
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	57	12	69

Merged error: 12.9b

Counts

69 → 12

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
2.2b	(- (cbrt (+ x 1.0)) (cbrt x))
2.2b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod` `add-sqr-sqrt`
20×	`*-un-lft-identity`
8×	`add-log-exp` `difference-of-squares`
6×	`add-cube-cbrt` `distribute-lft-out--`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
2×	`sub-neg` `flip3--` `pow1/3` `diff-log` `flip--` `distribute-lft-out`

Counts

4 → 60

Calls

4 calls:

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

series668.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt x)
177.0ms	(cbrt x)
154.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
153.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify128.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	234	488
1	748	464
2	3971	438
3	5002	438

prune193.0ms

Filtered

72 candidates to 60 candidates (83.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	72	12	84

Merged error: 12.9b

Counts

84 → 12

regimes125.0ms

Accuracy

99.2% (0.2b remaining)

Error of 11.5b against oracle of 11.3b and baseline of 29.6b

bsearch89.0ms

Steps

Iters	Range		Point
9	0.0002199982819353488	137964.03928948785	0.0027928821188123176
9	-1.0467233090565783e+63	-2.395645033726678e+56	-4.444200989733457e+61

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	45
1	65	45
2	65	45

end0.0ms

sample485.0ms

Algorithm

intervals

Results

173.0ms	1713×	body	1280	valid
91.0ms	1231×	body	640	valid
81.0ms	4123×	body	80	valid
37.0ms	632×	body	320	valid
11.0ms	301×	body	160	valid