Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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)))

rewrite12.0ms

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

series115.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/ g (* 2.0 a))
96.0ms	(cbrt (/ g (* 2.0 a)))

simplify44.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (40.0ms)

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

prune114.0ms

Filtered

43 candidates to 34 candidates (79.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	32	11	43
Fresh	0	0	0
Picked	1	0	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:

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

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

series519.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(/ (cbrt g) (cbrt (* 2.0 a)))
189.0ms	(cbrt g)
204.0ms	(cbrt (* 2.0 a))

simplify46.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (40.0ms)

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

prune207.0ms

Filtered

75 candidates to 60 candidates (80.0%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	65	10	75
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	69	17	86

Merged error: 0.0b

Counts

86 → 17

localize11.0ms

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)

rewrite20.0ms

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×	`pow1/3` `div-exp` `prod-exp` `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 → 88

Calls

4 calls:

5.0ms	(/ 1 (* 2.0 a))
7.0ms	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
4.0ms	(cbrt (/ 1 (* 2.0 a)))
1.0ms	(cbrt g)

series517.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ 1 (* 2.0 a))
111.0ms	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
206.0ms	(cbrt (/ 1 (* 2.0 a)))
183.0ms	(cbrt g)

simplify72.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	279	484
1	933	441
2	3676	410
3	5001	410

prune230.0ms

Filtered

100 candidates to 68 candidates (68.0%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	94	6	100
Fresh	5	10	15
Picked	0	1	1
Done	1	0	1
Total	100	17	117

Merged error: 0.0b

Counts

117 → 17

localize10.0ms

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)

rewrite33.0ms

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×	`associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`div-inv`
2×	`*-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 129

Calls

4 calls:

14.0ms	(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ (sqrt 1) a)))
9.0ms	(* (cbrt g) (cbrt (/ 1 2.0)))
3.0ms	(cbrt (/ (sqrt 1) a))
1.0ms	(cbrt g)

series709.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (* (cbrt g) (cbrt (/ 1 2.0))) (cbrt (/ (sqrt 1) a)))
227.0ms	(* (cbrt g) (cbrt (/ 1 2.0)))
176.0ms	(cbrt (/ (sqrt 1) a))
184.0ms	(cbrt g)

simplify58.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	467	1054
1	1849	1004
2	5002	936

prune387.0ms

Filtered

141 candidates to 105 candidates (74.5%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	133	8	141
Fresh	10	5	15
Picked	0	1	1
Done	0	1	1
Total	143	15	158

Merged error: 0b

Counts

158 → 15

regimes295.0ms

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	16	8
1	16	8

end0.0ms

sample438.0ms

Algorithm

intervals

Results

310.0ms

8000×

body

valid