Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

334×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

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: 10.7b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

10.4b

(/ 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))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(/ x (* y y))

simplify98.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (5.0ms)

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

prune42.0ms

Filtered

24 candidates to 16 candidates (66.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	7	25

Merged error: 0.0b

Counts

25 → 7

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (/ x y) y)

rewrite10.0ms

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)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(/ (/ x y) y)

simplify40.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (34.0ms)

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

prune106.0ms

Filtered

73 candidates to 48 candidates (65.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	72	8	80

Merged error: 0.0b

Counts

80 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ y (/ x y))
0.6b	(/ 1 (/ y (/ x y)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

471×	`times-frac`
229×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
57×	`associate-/r*`
28×	`add-exp-log`
22×	`div-inv`
18×	`div-exp`
16×	`add-cbrt-cube`
9×	`cbrt-undiv`
6×	`associate-/r/` `associate-/l*`
3×	`pow1` `rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 274

Calls

2 calls:

6.0ms	(/ y (/ x y))
14.0ms	(/ 1 (/ y (/ x y)))

series38.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(/ y (/ x y))
18.0ms	(/ 1 (/ y (/ x y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

280 → 280

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	953	2363
1	5001	2016

prune334.0ms

Filtered

280 candidates to 165 candidates (58.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	278	2	280
Fresh	2	3	5
Picked	0	1	1
Done	1	1	2
Total	281	7	288

Merged error: 0.0b

Counts

288 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (/ (* (cbrt 1) (cbrt 1)) (/ y x)) (/ (cbrt 1) y))
0.6b	(/ (* (cbrt 1) (cbrt 1)) (/ y x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

92×	`times-frac`
71×	`add-sqr-sqrt`
55×	`add-exp-log`
40×	`*-un-lft-identity`
38×	`add-cbrt-cube`
37×	`add-cube-cbrt`
23×	`cbrt-undiv` `div-exp`
22×	`associate-r`
18×	`associate-l`
16×	`prod-exp` `cbrt-unprod`
15×	`cbrt-prod`
13×	`associate-/r*`
12×	`unswap-sqr`
6×	`div-inv`
4×	`pow1`
2×	`associate-/r/` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l`

Counts

2 → 130

Calls

2 calls:

20.0ms	(* (/ (* (cbrt 1) (cbrt 1)) (/ y x)) (/ (cbrt 1) y))
8.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ y x))

series28.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* (/ (* (cbrt 1) (cbrt 1)) (/ y x)) (/ (cbrt 1) y))
10.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ y x))

simplify97.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	692	1324
1	3875	1115
2	5002	877

prune184.0ms

Filtered

136 candidates to 88 candidates (64.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	136	7	143

Merged error: 0.0b

Counts

143 → 7

regimes81.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample391.0ms

Algorithm

intervals

Results

225.0ms

10701×

body

valid

Details

sample15.0ms

simplify4.0ms

prune2.0ms

localize4.0ms

rewrite5.0ms

series24.0ms

simplify98.0ms

prune42.0ms

localize4.0ms

rewrite10.0ms

series23.0ms

simplify40.0ms

prune106.0ms

localize5.0ms

rewrite41.0ms

series38.0ms

simplify52.0ms

prune334.0ms

localize8.0ms

rewrite35.0ms

series28.0ms

simplify97.0ms

prune184.0ms

regimes81.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample391.0ms

Profiling