Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

338×

body

valid

simplify6.0ms

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: 9.4b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

9.2b	(/ x (* y y))

rewrite8.0ms

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:

7.0ms

(/ x (* y y))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(/ x (* y y))

simplify92.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

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

prune43.0ms

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)

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(/ (/ x y) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (27.0ms)

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

prune100.0ms

Filtered

75 candidates to 50 candidates (66.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	69	6	75
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	73	9	82

Merged error: 0.0b

Counts

82 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ y (/ x y))
0.8b	(/ 1 (/ y (/ x y)))

rewrite36.0ms

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×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 278

Calls

2 calls:

5.0ms	(/ y (/ x y))
14.0ms	(/ 1 (/ y (/ x y)))

series34.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(/ y (/ x y))
16.0ms	(/ 1 (/ y (/ x y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

284 → 284

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	957	2379
1	5001	2032

prune324.0ms

Filtered

284 candidates to 169 candidates (59.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	281	3	284
Fresh	4	2	6
Picked	1	0	1
Done	0	2	2
Total	286	7	293

Merged error: 0.0b

Counts

293 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (/ (* (cbrt 1) (cbrt 1)) (/ y x)) (/ (cbrt 1) y))
0.8b	(/ (* (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×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l`

Counts

2 → 134

Calls

2 calls:

19.0ms	(* (/ (* (cbrt 1) (cbrt 1)) (/ y x)) (/ (cbrt 1) y))
8.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ y x))

series27.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(* (/ (* (cbrt 1) (cbrt 1)) (/ y x)) (/ (cbrt 1) y))
9.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ y x))

simplify95.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	696	1354
1	3882	1145
2	5001	910

prune204.0ms

Filtered

140 candidates to 92 candidates (65.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	1	3	4
Picked	1	0	1
Done	1	1	2
Total	142	5	147

Merged error: 0.0b

Counts

147 → 5

regimes33.0ms

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

sample425.0ms

Algorithm

intervals

Results

238.0ms

10611×

body

valid