Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

291×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 10.3b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
9.6b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

6.0ms	(+ (/ x y) 1.0)
9.0ms	(* x (+ (/ x y) 1.0))
12.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series79.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (/ x y) 1.0)
28.0ms	(* x (+ (/ x y) 1.0))
40.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	301	391
1	1508	339
2	5001	337

prune120.0ms

Filtered

71 candidates to 48 candidates (67.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	5	72

Merged error: 0b

Counts

72 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.0b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

158×	`*-un-lft-identity`
146×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+` `associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 158

Calls

3 calls:

6.0ms	(+ (/ x y) 1.0)
13.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series120.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (/ x y) 1.0)
40.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
65.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	499	1501
1	2349	1440
2	5001	1438

prune267.0ms

Filtered

167 candidates to 105 candidates (62.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	165	2	167
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	168	4	172

Merged error: 0b

Counts

172 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))
0.1b	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

812×	`times-frac`
622×	`*-un-lft-identity`
344×	`add-sqr-sqrt` `add-cube-cbrt`
139×	`distribute-lft-out`
77×	`associate-/r*`
35×	`associate-/r/`
32×	`add-exp-log`
29×	`associate-/l*`
23×	`div-inv`
20×	`add-cbrt-cube`
19×	`flip3-+` `div-exp` `flip-+`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `sum-log` `inv-pow`

Counts

4 → 466

Calls

4 calls:

6.0ms	(+ (/ x y) 1.0)
15.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
10.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
28.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series202.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (/ x y) 1.0)
80.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
68.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
42.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify95.0ms

Algorithm

egg-herbie

Counts

478 → 478

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1291	5814
1	5001	5276

prune659.0ms

Filtered

478 candidates to 252 candidates (52.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	477	1	478
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	478	4	482

Merged error: 0b

Counts

482 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))) (cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))))
0.6b	(cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)))
0.6b	(cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)))
0.6b	(cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)))

rewrite950.0ms

Algorithm

rewrite-expression-head

Rules

5136×	`times-frac`
3717×	`*-un-lft-identity`
2139×	`add-sqr-sqrt`
1981×	`cbrt-prod`
1867×	`add-cube-cbrt`
792×	`distribute-lft-out`
400×	`swap-sqr`
218×	`associate-r` `associate-l`
133×	`associate-/r/`
93×	`div-inv`
64×	`unswap-sqr`
63×	`flip3-+` `flip-+`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div`
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 → 1593

Calls

4 calls:

591.0ms	(* (cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))) (cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))))
49.0ms	(cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)))
45.0ms	(cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)))
32.0ms	(cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)))

series921.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(* (cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))) (cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))))
247.0ms	(cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)))
213.0ms	(cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)))
214.0ms	(cbrt (/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)))

simplify398.0ms

Algorithm

egg-herbie

Counts

1605 → 1605

Iterations

Useful iterations: 1 (53.0ms)

Iter	Nodes	Cost
0	2464	38592
1	5002	37252

prune3.6s

Filtered

1605 candidates to 723 candidates (45.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	1605	0	1605
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	1605	4	1609

Merged error: 0b

Counts

1609 → 4

regimes37.0ms

Accuracy

0% (0.0b 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

sample362.0ms

Algorithm

intervals

Results

227.0ms

9114×

body

valid