Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

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` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

4.0ms

(/ x (* y y))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(/ x (* y y))

simplify97.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	101	92
1	322	77
2	957	77
3	4517	77
4	5002	77

prune46.0ms

Filtered

26 candidates to 18 candidates (69.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	20	6	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	7	27

Merged error: 0.0b

Counts

27 → 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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

1 → 72

Calls

1 calls:

6.0ms

(/ (/ x y) y)

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(/ (/ x y) y)

simplify35.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	313	455
1	1182	421
2	5001	412

prune101.0ms

Filtered

75 candidates to 50 candidates (66.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	71	4	75
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	75	7	82

Merged error: 0b

Counts

82 → 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×	`expm1-log1p-u` `frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 58

Calls

1 calls:

11.0ms

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

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	324	305
1	1606	255
2	5002	219

prune70.0ms

Filtered

61 candidates to 37 candidates (60.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	61	7	68

Merged error: 0b

Counts

68 → 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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 152

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))

series281.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
57.0ms	(cbrt (/ x y))
60.0ms	(cbrt (/ x y))
62.0ms	(cbrt (/ x y))

simplify91.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	267	1139
1	917	1091
2	3590	1046
3	5001	1022

prune319.0ms

Filtered

164 candidates to 127 candidates (77.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	164	7	171

Merged error: 0b

Counts

171 → 7

regimes79.0ms

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

sample387.0ms

Algorithm

intervals

Results

214.0ms

10665×

body

valid