Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

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: 17.7b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ g (* 2.0 a))
17.1b	(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` `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))
3.0ms	(cbrt (/ g (* 2.0 a)))

series120.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(/ g (* 2.0 a))
100.0ms	(cbrt (/ g (* 2.0 a)))

simplify45.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (41.0ms)

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

prune126.0ms

Filtered

47 candidates to 38 candidates (80.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	36	11	47
Fresh	0	0	0
Picked	1	0	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:

0.3b	(/ (cbrt g) (cbrt (* 2.0 a)))
0.6b	(cbrt g)
0.9b	(cbrt (* 2.0 a))

rewrite14.0ms

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:

8.0ms	(/ (cbrt g) (cbrt (* 2.0 a)))
1.0ms	(cbrt g)
2.0ms	(cbrt (* 2.0 a))

series531.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(/ (cbrt g) (cbrt (* 2.0 a)))
193.0ms	(cbrt g)
211.0ms	(cbrt (* 2.0 a))

simplify50.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (43.0ms)

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

prune233.0ms

Filtered

81 candidates to 66 candidates (81.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	70	11	81
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	75	17	92

Merged error: 0.0b

Counts

92 → 17

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (* 2.0 a))
0.4b	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
0.6b	(cbrt (/ 1 (* 2.0 a)))
0.6b	(cbrt g)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

5.0ms	(/ 1 (* 2.0 a))
7.0ms	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
3.0ms	(cbrt (/ 1 (* 2.0 a)))
1.0ms	(cbrt g)

series535.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ 1 (* 2.0 a))
113.0ms	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
217.0ms	(cbrt (/ 1 (* 2.0 a)))
188.0ms	(cbrt g)

simplify75.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	287	514
1	941	471
2	3692	440
3	5001	440

prune260.0ms

Filtered

108 candidates to 76 candidates (70.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	6	10	16
Picked	1	0	1
Done	0	0	0
Total	109	16	125

Merged error: 0.0b

Counts

125 → 16

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
60×	`add-sqr-sqrt`
49×	`times-frac`
44×	`*-un-lft-identity`
42×	`add-cube-cbrt`
41×	`associate-r`
18×	`sqrt-prod`
11×	`pow1` `add-exp-log`
8×	`unswap-sqr`
7×	`pow1/3` `associate-l` `pow-prod-down`
6×	`cbrt-div`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `associate-*r/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`
2×	`*-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 137

Calls

4 calls:

13.0ms	(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ (sqrt 1) a)))
8.0ms	(* (cbrt g) (cbrt (/ 1 2.0)))
7.0ms	(cbrt (/ (sqrt 1) a))
1.0ms	(cbrt g)

series743.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ (sqrt 1) a)))
231.0ms	(* (cbrt g) (cbrt (/ 1 2.0)))
193.0ms	(cbrt (/ (sqrt 1) a))
188.0ms	(cbrt g)

simplify62.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	475	1094
1	1857	1044
2	5001	976

prune432.0ms

Filtered

149 candidates to 113 candidates (75.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	140	9	149
Fresh	9	6	15
Picked	0	1	1
Done	0	0	0
Total	149	16	165

Merged error: 0b

Counts

165 → 16

regimes322.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample308.0ms

Algorithm

intervals

Results

177.0ms

8000×

body

valid