Details

sample8.0ms

Algorithm

intervals

Results

3.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	10	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: 0.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1.0 3.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
3×	`*-un-lft-identity` `add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `times-frac` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`

Counts

1 → 15

Calls

1 calls:

6.0ms

(- x (/ 1.0 3.0))

series22.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(- x (/ 1.0 3.0))

simplify117.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	81	77
1	178	72
2	428	72
3	1204	72
4	4291	72
5	5001	72

prune30.0ms

Filtered

18 candidates to 13 candidates (72.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
0.0b	(+ x (/ 1.0 3.0))
15.2b	(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
16×	`times-frac`
13×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`add-log-exp`
6×	`distribute-lft-out` `difference-of-squares`
5×	`add-exp-log` `add-cbrt-cube`
4×	`associate-/r` `associate-/l`
3×	`pow1`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 66

Calls

3 calls:

3.0ms	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
6.0ms	(+ x (/ 1.0 3.0))
11.0ms	(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

series146.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
22.0ms	(+ x (/ 1.0 3.0))
84.0ms	(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	277	693
1	1280	635
2	5002	624

prune141.0ms

Filtered

75 candidates to 56 candidates (74.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	76	2	78

Merged error: 0b

Counts

78 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
0.0b	(+ x (/ 1.0 3.0))
0.0b	(/ 1 (+ x (/ 1.0 3.0)))
15.2b	(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (+ x (/ 1.0 3.0))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
18×	`associate-r`
17×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`distribute-lft-out` `add-log-exp`
7×	`pow1`
4×	`div-exp` `associate-l` `prod-exp` `associate-/r*` `associate-/r/`
3×	`flip3--` `flip3-+` `flip--` `flip-+` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv` `difference-of-squares`
1×	`+-commutative` `sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 108

Calls

4 calls:

3.0ms	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
5.0ms	(+ x (/ 1.0 3.0))
8.0ms	(/ 1 (+ x (/ 1.0 3.0)))
15.0ms	(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (+ x (/ 1.0 3.0))))

series175.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
17.0ms	(+ x (/ 1.0 3.0))
27.0ms	(/ 1 (+ x (/ 1.0 3.0)))
87.0ms	(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (+ x (/ 1.0 3.0))))

simplify78.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	386	945
1	2192	823
2	5001	784

prune171.0ms

Filtered

120 candidates to 76 candidates (63.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	120	2	122

Merged error: 0b

Counts

122 → 2

regimes21.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	2

end0.0ms

sample189.0ms

Algorithm

intervals

Results

105.0ms

8000×

body

valid