Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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: 17.6b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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` `div-exp` `div-inv` `add-log-exp`
1×	`cbrt-div` `frac-2neg` `pow1/3` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

2 → 37

Calls

2 calls:

4.0ms	(/ g (* 2.0 a))
3.0ms	(cbrt (/ g (* 2.0 a)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(/ g (* 2.0 a))
93.0ms	(cbrt (/ g (* 2.0 a)))

simplify43.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	173	200
1	485	176
2	1886	174
3	5001	172

prune103.0ms

Filtered

43 candidates to 34 candidates (79.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	33	10	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	11	44

Merged error: 0.2b

Counts

44 → 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` `add-cbrt-cube` `add-log-exp`
2×	`pow1/3`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 66

Calls

3 calls:

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

series522.0ms

Counts

3 → 9

Calls

3 calls:

138.0ms	(/ (cbrt g) (cbrt (* 2.0 a)))
174.0ms	(cbrt g)
210.0ms	(cbrt (* 2.0 a))

simplify45.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	204	481
1	506	462
2	1602	455
3	5001	448

prune188.0ms

Filtered

75 candidates to 59 candidates (78.7%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	66	9	75
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	68	18	86

Merged error: 0.0b

Counts

86 → 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))

rewrite23.0ms

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×	`div-exp` `prod-exp` `associate-/r*` `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 → 101

Calls

4 calls:

4.0ms	(/ 1 (cbrt (* 2.0 a)))
12.0ms	(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
1.0ms	(cbrt g)
2.0ms	(cbrt (* 2.0 a))

series710.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(/ 1 (cbrt (* 2.0 a)))
118.0ms	(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
180.0ms	(cbrt g)
193.0ms	(cbrt (* 2.0 a))

simplify40.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	321	638
1	1199	573
2	5001	517

prune225.0ms

Filtered

113 candidates to 75 candidates (66.4%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	1	14	15
Picked	0	1	1
Done	0	2	2
Total	112	19	131

Merged error: 0.0b

Counts

131 → 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)

rewrite45.0ms

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` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 334

Calls

4 calls:

14.0ms	(/ (/ (cbrt g) (cbrt 2.0)) (cbrt a))
1.0ms	(cbrt a)
1.0ms	(cbrt g)
1.0ms	(cbrt 2.0)

series465.0ms

Counts

4 → 10

Calls

4 calls:

108.0ms	(/ (/ (cbrt g) (cbrt 2.0)) (cbrt a))
180.0ms	(cbrt a)
176.0ms	(cbrt g)
0.0ms	(cbrt 2.0)

simplify105.0ms

Algorithm

egg-herbie

Counts

344 → 344

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	1014	4206
1	4243	4158
2	5001	3982

prune755.0ms

Filtered

344 candidates to 227 candidates (66.0%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	338	6	344
Fresh	5	10	15
Picked	0	1	1
Done	1	2	3
Total	344	19	363

Merged error: 0.0b

Counts

363 → 19

regimes339.0ms

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

sample301.0ms

Algorithm

intervals

Results

171.0ms

8000×

body

valid