Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

341×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	6	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: 10.3b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

10.1b

(/ 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))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(/ x (* y y))

simplify90.0ms

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	5002	71

prune40.0ms

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (/ 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)

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(/ (/ x y) y)

simplify33.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	311	449
1	1180	415
2	5001	406

prune97.0ms

Filtered

73 candidates to 48 candidates (65.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	73	7	80

Merged error: 0b

Counts

80 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:

10.0ms

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

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify46.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (42.0ms)

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

prune66.0ms

Filtered

59 candidates to 35 candidates (59.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	59	7	66

Merged error: 0b

Counts

66 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ x y)) (cbrt (/ x y)))
11.1b	(cbrt (/ x y))
11.1b	(cbrt (/ x y))
11.1b	(cbrt (/ x y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
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 → 144

Calls

4 calls:

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

series263.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
60.0ms	(cbrt (/ x y))
59.0ms	(cbrt (/ x y))
63.0ms	(cbrt (/ x y))

simplify74.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	260	1109
1	902	1061
2	3525	1016
3	5001	992

prune290.0ms

Filtered

156 candidates to 119 candidates (76.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	156	7	163

Merged error: 0b

Counts

163 → 7

regimes77.0ms

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	4	2

end0.0ms

sample384.0ms

Algorithm

intervals

Results

217.0ms

10665×

body

valid