Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

335×

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: 0.6b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.6b	(/ 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))

simplify95.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

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

prune35.0ms

Filtered

26 candidates to 18 candidates (69.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	4	27

Merged error: 0.0b

Counts

27 → 4

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (/ 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)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(/ (/ 1.0 x) x)

simplify39.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (32.0ms)

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

prune98.0ms

Filtered

75 candidates to 52 candidates (69.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	71	4	75
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	71	8	79

Merged error: 0.0b

Counts

79 → 8

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
0.5b	(cbrt (/ 1.0 x))
0.5b	(cbrt (/ 1.0 x))
0.5b	(cbrt (/ 1.0 x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

12.0ms	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
2.0ms	(cbrt (/ 1.0 x))
2.0ms	(cbrt (/ 1.0 x))
3.0ms	(cbrt (/ 1.0 x))

series809.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
184.0ms	(cbrt (/ 1.0 x))
205.0ms	(cbrt (/ 1.0 x))
192.0ms	(cbrt (/ 1.0 x))

simplify127.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	226	1109
1	817	1069
2	4669	1027
3	5001	1023

prune308.0ms

Filtered

164 candidates to 130 candidates (79.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	160	4	164
Fresh	3	2	5
Picked	1	0	1
Done	0	2	2
Total	164	8	172

Merged error: 0.0b

Counts

172 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1.0 x)) (/ (cbrt 1.0) (cbrt x)))
0.5b	(cbrt (/ 1.0 x))
0.5b	(cbrt (/ 1.0 x))
0.6b	(cbrt x)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

100×	`cbrt-prod`
99×	`add-sqr-sqrt`
80×	`times-frac`
52×	`add-cube-cbrt` `*-un-lft-identity`
40×	`associate-r`
16×	`associate-l`
15×	`unswap-sqr`
9×	`add-exp-log`
6×	`pow1`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `cbrt-div` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow1/3`
2×	`prod-exp` `cbrt-unprod`
1×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 150

Calls

4 calls:

23.0ms	(* (cbrt (/ 1.0 x)) (/ (cbrt 1.0) (cbrt x)))
2.0ms	(cbrt (/ 1.0 x))
2.0ms	(cbrt (/ 1.0 x))
1.0ms	(cbrt x)

series835.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(* (cbrt (/ 1.0 x)) (/ (cbrt 1.0) (cbrt x)))
197.0ms	(cbrt (/ 1.0 x))
197.0ms	(cbrt (/ 1.0 x))
177.0ms	(cbrt x)

simplify61.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	484	1183
1	2137	1149
2	5001	1142

prune379.0ms

Filtered

162 candidates to 144 candidates (88.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	162	8	170

Merged error: 0.0b

Counts

170 → 8

regimes63.0ms

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

sample298.0ms

Algorithm

intervals

Results

181.0ms

10553×

body

valid