Details

Time bar (total: 2.8s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1143
2163
3163

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (+ x y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 46
Calls
1 calls:
7.0ms
(/ (- x y) (+ x y))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ (- x y) (+ x y))

simplify44.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
0187290
1526276
21771276
35002273

prune80.0ms

Filtered
49 candidates to 33 candidates (67.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New44549
Fresh000
Picked101
Done000
Total45550

Merged error: 0b

Counts
50 → 5

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ y (+ x y))
0.0b
(- (/ x (+ x y)) (/ y (+ x y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
40×times-frac
35×add-sqr-sqrt
23×add-cube-cbrt
12×distribute-lft-out
8×associate-/r* associate-/r/
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×flip3-+ flip-+ div-inv difference-of-squares
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 94
Calls
3 calls:
5.0ms
(/ x (+ x y))
5.0ms
(/ y (+ x y))
21.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series149.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ x (+ x y))
37.0ms
(/ y (+ x y))
71.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0260536
1791515
22132515
35001515

prune183.0ms

Filtered
103 candidates to 73 candidates (70.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New994103
Fresh404
Picked101
Done000
Total1044108

Merged error: 0b

Counts
108 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
194×*-un-lft-identity
152×times-frac
118×add-sqr-sqrt
94×add-cube-cbrt
48×swap-sqr
44×distribute-lft-out
36×associate-*r* associate-*l*
32×add-exp-log add-cbrt-cube
20×associate-/r/
18×pow1
10×cbrt-undiv flip3-+ div-exp flip-+ div-inv
8×prod-exp associate-/r* cbrt-unprod unswap-sqr
6×associate-/l*
4×add-log-exp
2×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up
Counts
4 → 242
Calls
4 calls:
5.0ms
(/ y (+ x y))
5.0ms
(/ y (+ x y))
19.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
17.0ms
(* (/ x (+ x y)) (/ x (+ x y)))

series198.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ y (+ x y))
41.0ms
(/ y (+ x y))
57.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
62.0ms
(* (/ x (+ x y)) (/ x (+ x y)))

simplify279.0ms

Algorithm
egg-herbie
Counts
254 → 254
Iterations

Useful iterations: 2 (259.0ms)

IterNodesCost
07341766
137561558
250011510

prune463.0ms

Filtered
254 candidates to 154 candidates (60.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2522254
Fresh303
Picked101
Done000
Total2562258

Merged error: 0b

Counts
258 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.1b
(* (/ y (+ x y)) (/ y (+ x y)))
0.1b
(* (/ x (+ x y)) (/ x (+ x y)))
1.4b
(log (exp (* (/ x (+ x y)) (/ x (+ x y)))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
178×*-un-lft-identity
140×times-frac
110×add-sqr-sqrt
86×add-cube-cbrt
48×swap-sqr
40×distribute-lft-out
36×associate-*r* associate-*l*
30×add-exp-log add-cbrt-cube
19×pow1
18×associate-/r/
9×cbrt-undiv flip3-+ div-exp flip-+ div-inv
8×prod-exp cbrt-unprod unswap-sqr
5×add-log-exp
4×associate-/r*
3×log-prod log-pow associate-/l*
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up
1×exp-prod exp-to-pow frac-2neg rem-log-exp clear-num
Counts
4 → 223
Calls
4 calls:
5.0ms
(/ y (+ x y))
17.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
17.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
2.0ms
(log (exp (* (/ x (+ x y)) (/ x (+ x y)))))

series215.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ y (+ x y))
60.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
61.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
57.0ms
(log (exp (* (/ x (+ x y)) (/ x (+ x y)))))

simplify96.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07561720
137881502
250011451

prune502.0ms

Filtered
235 candidates to 141 candidates (60.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2350235
Fresh011
Picked011
Done000
Total2352237

Merged error: 0b

Counts
237 → 2

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01419
11419

end0.0ms

sample287.0ms

Algorithm
intervals
Results
155.0ms8000×body80valid