Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	3
1	11	3
2	11	3

prune3.0ms

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: 17.6b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ g (* 2.0 a))
17.0b	(cbrt (/ g (* 2.0 a)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

4.0ms	(/ g (* 2.0 a))
7.0ms	(cbrt (/ g (* 2.0 a)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/ g (* 2.0 a))
92.0ms	(cbrt (/ g (* 2.0 a)))

simplify42.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	177	214
1	489	190
2	1896	188
3	5001	186

prune109.0ms

Filtered

47 candidates to 38 candidates (80.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	37	10	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	11	48

Merged error: 0.2b

Counts

48 → 11

localize6.0ms

Local error

Found 3 expressions with local error:

0.4b	(/ (cbrt g) (cbrt (* 2.0 a)))
0.6b	(cbrt g)
0.8b	(cbrt (* 2.0 a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

5.0ms	(/ (cbrt g) (cbrt (* 2.0 a)))
1.0ms	(cbrt g)
2.0ms	(cbrt (* 2.0 a))

series549.0ms

Counts

3 → 9

Calls

3 calls:

141.0ms	(/ (cbrt g) (cbrt (* 2.0 a)))
207.0ms	(cbrt g)
200.0ms	(cbrt (* 2.0 a))

simplify67.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	210	501
1	512	482
2	1616	475
3	5002	468

prune198.0ms

Filtered

81 candidates to 65 candidates (80.2%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	72	9	81
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	74	18	92

Merged error: 0.0b

Counts

92 → 18

localize7.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (cbrt (* 2.0 a)))
0.4b	(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
0.6b	(cbrt g)
0.8b	(cbrt (* 2.0 a))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
17×	`add-exp-log` `cbrt-prod`
16×	`associate-r`
7×	`pow1` `add-cbrt-cube`
6×	`associate-l` `unswap-sqr`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `pow-flip` `1-exp` `cbrt-unprod` `div-inv`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 109

Calls

4 calls:

4.0ms	(/ 1 (cbrt (* 2.0 a)))
13.0ms	(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
1.0ms	(cbrt g)
2.0ms	(cbrt (* 2.0 a))

series755.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(/ 1 (cbrt (* 2.0 a)))
124.0ms	(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
182.0ms	(cbrt g)
198.0ms	(cbrt (* 2.0 a))

simplify41.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	329	668
1	1207	603
2	5002	547

prune250.0ms

Filtered

121 candidates to 83 candidates (68.6%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	1	14	15
Picked	0	1	1
Done	0	2	2
Total	120	19	139

Merged error: 0.0b

Counts

139 → 19

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (/ (cbrt g) (cbrt 2.0)) (cbrt a))
0.6b	(cbrt a)
0.6b	(cbrt g)
1.0b	(cbrt 2.0)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

492×	`times-frac`
384×	`cbrt-prod`
264×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
40×	`associate-/l*`
9×	`add-exp-log`
8×	`div-inv`
6×	`associate-/r*`
5×	`add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 342

Calls

4 calls:

16.0ms	(/ (/ (cbrt g) (cbrt 2.0)) (cbrt a))
1.0ms	(cbrt a)
1.0ms	(cbrt g)
2.0ms	(cbrt 2.0)

series490.0ms

Counts

4 → 10

Calls

4 calls:

116.0ms	(/ (/ (cbrt g) (cbrt 2.0)) (cbrt a))
183.0ms	(cbrt a)
192.0ms	(cbrt g)
0.0ms	(cbrt 2.0)

simplify111.0ms

Algorithm

egg-herbie

Counts

352 → 352

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	1022	4230
1	4251	4182
2	5001	4006

prune779.0ms

Filtered

352 candidates to 235 candidates (66.8%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	346	6	352
Fresh	5	10	15
Picked	0	1	1
Done	1	2	3
Total	352	19	371

Merged error: 0.0b

Counts

371 → 19

regimes349.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	5

end0.0ms

sample319.0ms

Algorithm

intervals

Results

181.0ms

8000×

body

valid