Details

Time bar (total: 2.3s)

sample143.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 98.260498%

Results
8.0ms256×body80valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0368
11528
25018
321538
450018

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 19.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
19.4b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
56×frac-times
54×flip3-+ flip-+
28×add-exp-log associate-*l/ add-cbrt-cube
26×associate-/r/
16×associate-*r/
12×prod-exp cbrt-unprod
8×*-un-lft-identity
7×pow1
6×cbrt-undiv div-exp
5×associate-*r*
4×add-sqr-sqrt
3×add-cube-cbrt pow-prod-down distribute-lft-out
2×add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 100
Calls
2 calls:
17.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
17.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series26.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify35.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
08621288
150011162

prune145.0ms

Filtered
68 candidates to 106 candidates (-55.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New988106
Fresh000
Picked101
Done000
Total998107

Merged error: 7.2b

Counts
107 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
17.0b
(/ x (* (+ x y) (+ x y)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
28×add-exp-log add-cbrt-cube
25×add-sqr-sqrt times-frac
21×associate-*r*
18×associate-/r/
15×add-cube-cbrt associate-*l*
13×flip3-+ flip-+
9×cbrt-undiv frac-times div-exp prod-exp cbrt-unprod distribute-lft-out
5×associate-*r/ associate-*l/
4×pow1 unswap-sqr
3×div-inv associate-/l*
2×add-log-exp
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative
Counts
2 → 93
Calls
2 calls:
23.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
9.0ms
(/ x (* (+ x y) (+ x y)))

series27.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
9.0ms
(/ x (* (+ x y) (+ x y)))

simplify68.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0576859
12853748
25001741

prune123.0ms

Filtered
66 candidates to 99 candidates (-50.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New93699
Fresh617
Picked011
Done000
Total998107

Merged error: 0.0b

Counts
107 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
282×*-un-lft-identity
152×add-sqr-sqrt
131×add-cube-cbrt
78×associate-*l*
77×distribute-lft-out
31×add-exp-log add-cbrt-cube
26×associate-/r/
21×associate-*r* associate-/l*
13×cbrt-undiv flip3-+ div-exp flip-+ div-inv
8×associate-/r*
6×prod-exp cbrt-unprod unswap-sqr
5×pow1
3×add-log-exp
2×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
3 → 273
Calls
3 calls:
5.0ms
(/ x (+ x y))
11.0ms
(/ (/ x (+ x y)) (+ x y))
45.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series31.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ x (+ x y))
8.0ms
(/ (/ x (+ x y)) (+ x y))
18.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify98.0ms

Algorithm
egg-herbie
Counts
282 → 282
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
09532523
142882337
250012329

prune202.0ms

Filtered
167 candidates to 282 candidates (-68.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2793282
Fresh336
Picked101
Done011
Total2837290

Merged error: 0b

Counts
290 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(/ (* (/ (/ x (+ x y)) (+ x y)) y) (+ (+ x y) 1.0))
0.1b
(/ (/ x (+ x y)) (+ x y))
6.8b
(* (/ (/ x (+ x y)) (+ x y)) y)

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
272×*-un-lft-identity times-frac
135×add-sqr-sqrt
126×add-cube-cbrt
78×associate-*l*
74×distribute-lft-out
34×add-exp-log add-cbrt-cube
26×associate-/r/
22×associate-/l*
14×cbrt-undiv div-exp
13×flip3-+ associate-/r* flip-+ div-inv
6×pow1 prod-exp cbrt-unprod
4×add-log-exp
3×frac-2neg associate-*r* clear-num unswap-sqr
2×associate-*l/ associate-/l/
1×pow-prod-down *-commutative
Counts
4 → 276
Calls
4 calls:
5.0ms
(/ x (+ x y))
19.0ms
(/ (* (/ (/ x (+ x y)) (+ x y)) y) (+ (+ x y) 1.0))
11.0ms
(/ (/ x (+ x y)) (+ x y))
25.0ms
(* (/ (/ x (+ x y)) (+ x y)) y)

series46.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ x (+ x y))
22.0ms
(/ (* (/ (/ x (+ x y)) (+ x y)) y) (+ (+ x y) 1.0))
8.0ms
(/ (/ x (+ x y)) (+ x y))
10.0ms
(* (/ (/ x (+ x y)) (+ x y)) y)

simplify119.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
07992214
136782024
250012019

prune190.0ms

Filtered
172 candidates to 288 candidates (-67.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2862288
Fresh235
Picked101
Done011
Total2896295

Merged error: 0b

Counts
295 → 6

regimes87.0ms

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)

IterNodesCost
0128
1128

end0.0ms

sample602.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 98.260498%

Results
282.0ms8000×body80valid

Profiling

Loading profile data...