Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

351×

body

valid

simplify5.0ms

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: 10.6b

Counts

2 → 1

localize3.0ms

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` `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:

5.0ms

(/ x (* y y))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(/ x (* y y))

simplify96.0ms

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

prune42.0ms

Filtered

26 candidates to 18 candidates (69.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	18	8	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	8	27

Merged error: 0.0b

Counts

27 → 8

localize6.0ms

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)

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(/ (/ x y) y)

simplify34.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (28.0ms)

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

prune103.0ms

Filtered

75 candidates to 50 candidates (66.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	74	9	83

Merged error: 0.0b

Counts

83 → 9

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (/ 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:

10.0ms

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

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify43.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (38.0ms)

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

prune73.0ms

Filtered

61 candidates to 36 candidates (59.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	61	9	70

Merged error: 0b

Counts

70 → 9

localize7.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.6b	(* (* (cbrt x) (cbrt x)) (/ (/ (cbrt x) y) y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

125×	`times-frac`
78×	`add-sqr-sqrt`
70×	`associate-r`
69×	`add-cube-cbrt` `*-un-lft-identity`
37×	`cbrt-prod`
25×	`add-exp-log`
17×	`add-cbrt-cube`
9×	`pow1` `prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
3×	`pow1/3` `pow-prod-down`
1×	`associate-r/` `associate-l` `-commutative`

Counts

4 → 139

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
25.0ms	(* (* (cbrt x) (cbrt x)) (/ (/ (cbrt x) y) y))

series565.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt x)
178.0ms	(cbrt x)
175.0ms	(cbrt x)
38.0ms	(* (* (cbrt x) (cbrt x)) (/ (/ (cbrt x) y) y))

simplify112.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	798	1145
1	4561	880
2	5002	815

prune297.0ms

Filtered

151 candidates to 115 candidates (76.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	151	9	160

Merged error: 0b

Counts

160 → 9

regimes116.0ms

Accuracy

0% (0.1b 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

sample332.0ms

Algorithm

intervals

Results

174.0ms

10597×

body

valid