Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

338×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

prune1.0ms

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: 0.3b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ 1.0 (* x x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

4.0ms

(/ 1.0 (* x x))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(/ 1.0 (* x x))

simplify103.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	101	92
1	322	77
2	957	77
3	4517	77
4	5002	77

prune37.0ms

Filtered

26 candidates to 18 candidates (69.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Merged error: 0.0b

Counts

27 → 3

localize3.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ 1.0 x) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

1 → 72

Calls

1 calls:

6.0ms

(/ (/ 1.0 x) x)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(/ (/ 1.0 x) x)

simplify40.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	313	455
1	1182	421
2	5001	412

prune93.0ms

Filtered

75 candidates to 52 candidates (69.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	74	4	78

Merged error: 0.0b

Counts

78 → 4

localize10.0ms

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×	`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)
1.0ms	(cbrt x)

series742.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt x) (cbrt x))
177.0ms	(cbrt x)
179.0ms	(cbrt x)
182.0ms	(cbrt x)

simplify102.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (90.0ms)

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

prune195.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	90	7	97

Merged error: 0.0b

Counts

97 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* (cbrt 1.0) (cbrt 1.0)) (cbrt (pow x 2)))
0.3b	(/ (cbrt 1.0) (cbrt x))
0.6b	(cbrt x)
21.4b	(cbrt (pow x 2))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

69×	`cbrt-prod`
47×	`times-frac`
41×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
11×	`add-exp-log`
9×	`unpow-prod-down`
7×	`associate-/l*`
5×	`add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `unpow2` `sqr-pow`
2×	`frac-2neg` `pow1/3` `clear-num` `div-inv`
1×	`prod-exp` `cbrt-unprod`

Counts

4 → 132

Calls

4 calls:

8.0ms	(/ (* (cbrt 1.0) (cbrt 1.0)) (cbrt (pow x 2)))
5.0ms	(/ (cbrt 1.0) (cbrt x))
1.0ms	(cbrt x)
2.0ms	(cbrt (pow x 2))

series839.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(/ (* (cbrt 1.0) (cbrt 1.0)) (cbrt (pow x 2)))
226.0ms	(/ (cbrt 1.0) (cbrt x))
182.0ms	(cbrt x)
187.0ms	(cbrt (pow x 2))

simplify49.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	339	913
1	1262	865
2	5002	815

prune336.0ms

Filtered

144 candidates to 107 candidates (74.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	141	3	144
Fresh	2	1	3
Picked	1	0	1
Done	0	3	3
Total	144	7	151

Merged error: 0b

Counts

151 → 7

regimes74.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	2

end0.0ms

sample318.0ms

Algorithm

intervals

Results

196.0ms

10637×

body

valid