Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

296×

body

valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	29	5
2	45	5
3	56	5
4	74	5
5	86	5
6	120	5
7	136	5
8	146	5
9	150	5
10	160	5
11	446	5
12	2695	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

localize10.0ms

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))

rewrite22.0ms

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` `expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `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 → 54

Calls

2 calls:

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

series70.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	306	352
1	1568	305
2	5001	304

prune97.0ms

Filtered

60 candidates to 42 candidates (70.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	55	5	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	5	61

Merged error: 0.0b

Counts

61 → 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))

rewrite33.0ms

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

Counts

2 → 150

Calls

2 calls:

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

series104.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
65.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	504	1464
1	2390	1406
2	5002	1404

prune212.0ms

Filtered

156 candidates to 99 candidates (63.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	155	6	161

Merged error: 0b

Counts

161 → 6

localize7.0ms

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)))

rewrite28.0ms

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` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 85

Calls

2 calls:

10.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
14.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
43.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	337	638
1	1571	584
2	5001	580

prune115.0ms

Filtered

91 candidates to 59 candidates (64.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	91	6	97

Merged error: 0b

Counts

97 → 6

localize8.0ms

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

Counts

3 → 460

Calls

3 calls:

14.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
10.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
25.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series176.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
62.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
40.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify89.0ms

Algorithm

egg-herbie

Counts

469 → 469

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1298	5782
1	5002	5246

prune533.0ms

Filtered

469 candidates to 248 candidates (52.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	468	1	469
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	469	6	475

Merged error: 0b

Counts

475 → 6

regimes60.0ms

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

sample407.0ms

Algorithm

intervals

Results

267.0ms

9092×

body

valid