Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

296×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	27	5
2	40	5
3	47	5
4	63	5
5	75	5
6	106	5
7	112	5
8	118	5
9	122	5
10	130	5
11	402	5
12	2605	5
13	5001	5

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: 9.3b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
8.7b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
4×	`pow1` `times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`flip3-+` `associate-l` `flip-+` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

9.0ms	(* x (+ (/ x y) 1.0))
12.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series68.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* x (+ (/ x y) 1.0))
44.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	296	332
1	1504	285
2	5001	283

prune85.0ms

Filtered

56 candidates to 38 candidates (67.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	51	5	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	5	57

Merged error: 0.0b

Counts

57 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

155×	`*-un-lft-identity`
146×	`times-frac`
71×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

2 → 146

Calls

2 calls:

13.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series102.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
63.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	494	1442
1	2344	1386
2	5002	1384

prune195.0ms

Filtered

152 candidates to 95 candidates (62.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	151	6	157

Merged error: 0b

Counts

157 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (+ (/ x y) 1.0) (+ x 1.0))
0.2b	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
33×	`times-frac`
27×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `associate-r`
18×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `associate-/r` `associate-/r/` `associate-/l`
3×	`flip3-+` `associate-l` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 81

Calls

2 calls:

11.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
15.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series70.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
42.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	328	616
1	1518	563
2	5001	558

prune104.0ms

Filtered

87 candidates to 55 candidates (63.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	87	6	93

Merged error: 0b

Counts

93 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))
0.2b	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

812×	`times-frac`
619×	`*-un-lft-identity`
343×	`add-sqr-sqrt` `add-cube-cbrt`
138×	`distribute-lft-out`
77×	`associate-/r*`
35×	`associate-/r/`
31×	`add-exp-log`
29×	`associate-/l*`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
18×	`flip3-+` `flip-+`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

3 → 454

Calls

3 calls:

15.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
11.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
27.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series187.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
63.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
46.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify89.0ms

Algorithm

egg-herbie

Counts

463 → 463

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1286	5755
1	5001	5222

prune548.0ms

Filtered

463 candidates to 242 candidates (52.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	462	1	463
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	463	6	469

Merged error: 0b

Counts

469 → 6

regimes61.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample442.0ms

Algorithm

intervals

Results

290.0ms

9092×

body

valid