Details

sample20.0ms

Algorithm

intervals

Results

7.0ms

340×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	11	3
2	11	3

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 4.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

10.3b

(/ x (* y y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ x (* y y))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ x (* y y))

simplify93.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	99	86
1	320	71
2	952	71
3	4497	71
4	5001	71

prune51.0ms

Filtered

24 candidates to 16 candidates (33.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	3	25

Merged error: 0.0b

Counts

25 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ x y) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

1 → 70

Calls

1 calls:

6.0ms

(/ (/ x y) y)

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ (/ x y) y)

simplify34.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	311	449
1	1180	415
2	5002	406

prune203.0ms

Filtered

73 candidates to 49 candidates (32.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	70	6	76

Merged error: 0b

Counts

76 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (/ 1 y) (/ x y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-exp-log`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`associate-r` `associate-l` `add-cbrt-cube`
8×	`div-exp` `prod-exp`
6×	`unswap-sqr`
4×	`cbrt-undiv` `cbrt-unprod`
3×	`pow1`
2×	`rec-exp` `1-exp` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `add-log-exp`

Counts

1 → 56

Calls

1 calls:

13.0ms

(* (/ 1 y) (/ x y))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (/ 1 y) (/ x y))

simplify43.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	322	297
1	1604	247
2	5001	211

prune131.0ms

Filtered

59 candidates to 35 candidates (40.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	59	6	65

Merged error: 0b

Counts

65 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1 y)) (cbrt (/ 1 y)))
0.6b	(cbrt (/ 1 y))
0.6b	(cbrt (/ 1 y))
0.6b	(cbrt (/ 1 y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

119×	`cbrt-prod`
97×	`add-sqr-sqrt`
79×	`times-frac`
67×	`*-un-lft-identity`
57×	`add-cube-cbrt`
18×	`swap-sqr`
16×	`associate-r` `associate-l` `unswap-sqr`
11×	`pow1`
9×	`pow1/3` `div-inv`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 153

Calls

4 calls:

12.0ms	(* (cbrt (/ 1 y)) (cbrt (/ 1 y)))
2.0ms	(cbrt (/ 1 y))
2.0ms	(cbrt (/ 1 y))
2.0ms	(cbrt (/ 1 y))

series90.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt (/ 1 y)) (cbrt (/ 1 y)))
21.0ms	(cbrt (/ 1 y))
24.0ms	(cbrt (/ 1 y))
21.0ms	(cbrt (/ 1 y))

simplify106.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	255	1216
1	846	1106
2	4052	878
3	5002	817

prune700.0ms

Filtered

165 candidates to 96 candidates (41.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	165	6	171

Merged error: 0b

Counts

171 → 6

regimes147.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3

end0.0ms

sample499.0ms

Algorithm

intervals

Results

232.0ms

10587×

body

valid

Details

sample20.0ms

simplify4.0ms

prune3.0ms

localize4.0ms

rewrite5.0ms

series5.0ms

simplify93.0ms

prune51.0ms

localize4.0ms

rewrite9.0ms

series5.0ms

simplify34.0ms

prune203.0ms

localize6.0ms

rewrite15.0ms

series3.0ms

simplify43.0ms

prune131.0ms

localize9.0ms

rewrite25.0ms

series90.0ms

simplify106.0ms

prune700.0ms

regimes147.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample499.0ms

Profiling