Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	239×	body	80	valid
0.0ms	4×	body	2560	valid
0.0ms	4×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	4×	body	320	valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	3

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

9.0ms

(+ x (/ (- x y) 2.0))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(+ x (/ (- x y) 2.0))

simplify101.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 4 (98.0ms)

Iter	Nodes	Cost
0	97	89
1	261	81
2	773	81
3	3727	81
4	5001	80

prune49.0ms

Filtered

21 candidates to 17 candidates (81.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Merged error: 0.0b

Counts

22 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series820.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(* (cbrt x) (cbrt x))
206.0ms	(cbrt x)
197.0ms	(cbrt x)
199.0ms	(cbrt x)

simplify108.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune232.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	91	7	98

Merged error: 0.0b

Counts

98 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 54

Calls

4 calls:

2.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))
4.0ms	(cbrt (* (cbrt x) (cbrt x)))
9.0ms	(cbrt (* (cbrt x) (cbrt x)))

series1.2s

Counts

4 → 12

Calls

4 calls:

275.0ms	(cbrt (cbrt x))
277.0ms	(cbrt (cbrt x))
311.0ms	(cbrt (* (cbrt x) (cbrt x)))
304.0ms	(cbrt (* (cbrt x) (cbrt x)))

simplify98.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 4 (92.0ms)

Iter	Nodes	Cost
0	92	306
1	184	278
2	553	270
3	1965	270
4	5002	264

prune236.0ms

Filtered

66 candidates to 58 candidates (87.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	66	7	73

Merged error: 0.0b

Counts

73 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

2.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))
4.0ms	(pow (cbrt (cbrt x)) 4)

series1.4s

Counts

4 → 12

Calls

4 calls:

268.0ms	(cbrt (cbrt x))
518.0ms	(cbrt (cbrt x))
275.0ms	(cbrt (cbrt x))
348.0ms	(pow (cbrt (cbrt x)) 4)

simplify75.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	141	393
1	378	373
2	1382	352
3	5001	331

prune250.0ms

Filtered

86 candidates to 64 candidates (74.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	86	7	93

Merged error: 0.0b

Counts

93 → 7

regimes84.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample352.0ms

Algorithm

intervals

Results

164.0ms	7379×	body	80	valid
24.0ms	210×	body	1280	valid
12.0ms	164×	body	640	valid
11.0ms	96×	body	2560	valid
6.0ms	99×	body	320	valid
2.0ms	54×	body	160	valid