Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

294×

body

valid

simplify73.0ms

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: 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))

rewrite50.0ms

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:

32.0ms	(* x (+ (/ x y) 1.0))
16.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series71.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify47.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (43.0ms)

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

prune103.0ms

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))

rewrite52.0ms

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:

21.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
20.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series108.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
63.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify72.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (57.0ms)

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

prune259.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

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)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

498×	`*-un-lft-identity`
490×	`times-frac`
296×	`sqrt-prod`
224×	`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` `div-exp` `add-log-exp`
3×	`associate-/l/`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`

Counts

4 → 383

Calls

4 calls:

16.0ms	(sqrt (+ (/ x y) 1.0))
13.0ms	(sqrt (+ (/ x y) 1.0))
21.0ms	(/ (+ x 1.0) (sqrt (+ (/ x y) 1.0)))
55.0ms	(/ (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0)))

series409.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(sqrt (+ (/ x y) 1.0))
77.0ms	(sqrt (+ (/ x y) 1.0))
182.0ms	(/ (+ x 1.0) (sqrt (+ (/ x y) 1.0)))
72.0ms	(/ (/ (+ x 1.0) (sqrt (+ (/ x y) 1.0))) (sqrt (+ (/ x y) 1.0)))

simplify98.0ms

Algorithm

egg-herbie

Counts

395 → 395

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	727	6062
1	2488	5388
2	5001	5332

prune488.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite498.0ms

Algorithm

rewrite-expression-head

Rules

7677×	`times-frac`
4745×	`*-un-lft-identity`
2949×	`add-sqr-sqrt` `add-cube-cbrt`
999×	`sqrt-prod`
898×	`distribute-lft-out`
515×	`associate-/r*`
230×	`associate-/r/`
229×	`div-inv`
113×	`flip3-+` `flip-+`
59×	`add-exp-log`
42×	`div-exp`
35×	`add-cbrt-cube`
29×	`associate-/l*`
22×	`cbrt-undiv`
4×	`rec-exp` `1-exp`
3×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

3 → 2576

Calls

3 calls:

118.0ms	(/ x (/ (/ 1 (sqrt 1)) (/ (+ (/ x y) 1.0) (+ x 1.0))))
28.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
39.0ms	(/ (/ 1 (sqrt 1)) (/ (+ (/ x y) 1.0) (+ x 1.0)))

series149.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ x (/ (/ 1 (sqrt 1)) (/ (+ (/ x y) 1.0) (+ x 1.0))))
29.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
72.0ms	(/ (/ 1 (sqrt 1)) (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify457.0ms

Algorithm

egg-herbie

Counts

2585 → 2585

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5001	47105

prune4.8s

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

sample371.0ms

Algorithm

intervals

Results

236.0ms

9162×

body

valid