Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

278×

body

valid

simplify70.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
8.5b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite57.0ms

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:

9.0ms	(+ (/ x y) 1.0)
31.0ms	(* x (+ (/ x y) 1.0))
15.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series82.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (/ x y) 1.0)
29.0ms	(* x (+ (/ x y) 1.0))
42.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (39.0ms)

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

prune119.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

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:

8.0ms	(+ (/ x y) 1.0)
21.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
23.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series122.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (/ x y) 1.0)
46.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
66.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (50.0ms)

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

prune286.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
0.2b	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
8.5b	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

50×	`times-frac`
43×	`*-un-lft-identity`
32×	`add-exp-log`
29×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r*` `associate-/r/`
8×	`flip3-+` `flip-+` `distribute-lft-out`
7×	`pow1` `cbrt-undiv` `associate-/l*`
6×	`div-inv` `add-log-exp`
5×	`prod-exp`
4×	`associate-r`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `sum-log` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 130

Calls

4 calls:

9.0ms	(+ (/ x y) 1.0)
32.0ms	(* x (+ (/ x y) 1.0))
23.0ms	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
15.0ms	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

series168.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (/ x y) 1.0)
32.0ms	(* x (+ (/ x y) 1.0))
41.0ms	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
82.0ms	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	485	1064
1	2632	928
2	5001	874

prune195.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ (/ (+ x 1.0) x) (+ (/ x y) 1.0))
0.2b	(/ 1 (/ (/ (+ x 1.0) x) (+ (/ x y) 1.0)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

782×	`times-frac`
617×	`*-un-lft-identity`
327×	`add-sqr-sqrt` `add-cube-cbrt`
145×	`distribute-lft-out`
74×	`associate-/r*`
29×	`add-exp-log`
27×	`div-inv`
19×	`associate-/l*`
18×	`div-exp`
17×	`add-cbrt-cube`
11×	`associate-/r/`
9×	`cbrt-undiv`
6×	`flip3-+` `flip-+`
5×	`add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-flip` `sum-log` `associate-/l/` `inv-pow`

Counts

3 → 421

Calls

3 calls:

8.0ms	(+ (/ x y) 1.0)
24.0ms	(/ (/ (+ x 1.0) x) (+ (/ x y) 1.0))
37.0ms	(/ 1 (/ (/ (+ x 1.0) x) (+ (/ x y) 1.0)))

series133.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (/ x y) 1.0)
81.0ms	(/ (/ (+ x 1.0) x) (+ (/ x y) 1.0))
41.0ms	(/ 1 (/ (/ (+ x 1.0) x) (+ (/ x y) 1.0)))

simplify77.0ms

Algorithm

egg-herbie

Counts

430 → 430

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1151	5364
1	5002	4841

prune556.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	5
1	17	5
2	17	5

end0.0ms

sample374.0ms

Algorithm

intervals

Results

228.0ms

9119×

body

valid