Details

sample18.0ms

Algorithm

intervals

Results

10.0ms

294×

body

valid

simplify65.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
11.5b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite45.0ms

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:

28.0ms	(* x (+ (/ x y) 1.0))
15.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series68.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* x (+ (/ x y) 1.0))
43.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (40.0ms)

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

prune114.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize7.0ms

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))

rewrite47.0ms

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:

21.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
19.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series114.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
67.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (51.0ms)

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

prune263.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

498×	`*-un-lft-identity`
492×	`times-frac`
296×	`sqrt-prod`
234×	`add-sqr-sqrt`
222×	`add-cube-cbrt`
138×	`distribute-lft-out`
38×	`associate-/l*`
24×	`sqrt-div`
20×	`associate-/r/`
14×	`associate-/r*`
13×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `hypot-def` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l/`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`

Counts

4 → 395

Calls

4 calls:

14.0ms	(sqrt (+ (/ x y) 1.0))
16.0ms	(sqrt (+ (/ x y) 1.0))
20.0ms	(/ (+ x 1.0) (sqrt (+ (/ x y) 1.0)))
52.0ms	(/ (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0)))

series405.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(sqrt (+ (/ x y) 1.0))
79.0ms	(sqrt (+ (/ x y) 1.0))
180.0ms	(/ (+ x 1.0) (sqrt (+ (/ x y) 1.0)))
68.0ms	(/ (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0)))

simplify93.0ms

Algorithm

egg-herbie

Counts

407 → 407

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	741	6110
1	2529	5423
2	5002	5362

prune503.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

815×	`times-frac`
620×	`*-un-lft-identity`
344×	`add-sqr-sqrt` `add-cube-cbrt`
138×	`distribute-lft-out`
97×	`associate-/r*`
40×	`associate-/r/`
35×	`add-exp-log`
23×	`div-inv`
22×	`div-exp`
19×	`add-cbrt-cube`
18×	`flip3-+` `flip-+`
10×	`cbrt-undiv` `associate-/l*`
4×	`pow1` `rec-exp` `1-exp`
3×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

3 → 466

Calls

3 calls:

36.0ms	(/ x (/ 1 (/ (+ (/ x y) 1.0) (+ x 1.0))))
26.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
25.0ms	(/ 1 (/ (+ (/ x y) 1.0) (+ x 1.0)))

series145.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ x (/ 1 (/ (+ (/ x y) 1.0) (+ x 1.0))))
29.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
70.0ms	(/ 1 (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify77.0ms

Algorithm

egg-herbie

Counts

475 → 475

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1297	5686
1	5001	5082

prune649.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes43.0ms

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

sample389.0ms

Algorithm

intervals

Results

244.0ms

9162×

body

valid