Details

Time bar (total: 1.9s)

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1143
2163
3163

prune3.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
distribute-lft-out
associate-/l* distribute-lft-out-- difference-of-squares
associate-/r*
add-exp-log add-cbrt-cube
associate-/r/ associate-/l/
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:
14.0ms
(/ (- x y) (+ x y))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(/ (- x y) (+ x y))

simplify54.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0187290
1526276
21771276
35002273

prune77.0ms

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

localize6.0ms

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)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
40×times-frac
35×add-sqr-sqrt
23×add-cube-cbrt
12×distribute-lft-out
associate-/r* associate-/r/
add-exp-log add-cbrt-cube distribute-lft-out--
associate-/l*
add-log-exp
flip3-+ flip-+ div-inv difference-of-squares
pow1 distribute-rgt-out--
cbrt-undiv frac-2neg div-exp clear-num
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))
24.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series343.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ x (+ x y))
223.0ms
(/ y (+ x y))
80.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0260536
1791515
22132515
35001515

prune139.0ms

Filtered
103 candidates to 74 candidates (71.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1021103
Fresh134
Picked101
Done000
Total1044108

Merged error: 0b

Counts
108 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ y (+ x y))
0.0b
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
2.9b
(log (exp (/ y (+ x y))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
37×add-sqr-sqrt times-frac
32×add-cube-cbrt
20×log-pow
18×exp-prod
11×distribute-lft-out
add-exp-log associate-/r* add-cbrt-cube
pow1 log-prod associate-/r/ associate-/l*
add-log-exp
flip3-+ flip-+ div-inv associate--r+
cbrt-undiv frac-2neg div-exp clear-num distribute-lft-out-- difference-of-squares
sub-neg flip3-- diff-log rem-log-exp flip--
Counts
4 → 115
Calls
4 calls:
5.0ms
(/ x (+ x y))
5.0ms
(/ y (+ x y))
29.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
7.0ms
(log (exp (/ y (+ x y))))

series197.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ x (+ x y))
38.0ms
(/ y (+ x y))
75.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
42.0ms
(log (exp (/ y (+ x y))))

simplify59.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0289626
1826575
22177572
35001572

prune198.0ms

Filtered
127 candidates to 92 candidates (72.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1270127
Fresh033
Picked011
Done000
Total1274131

Merged error: 0b

Counts
131 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ x y))
0.2b
(* (- x y) (/ 1 (+ x y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
29×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
add-cbrt-cube
distribute-lft-out
pow1 associate-*l*
div-exp prod-exp associate-/r* associate-/r/
associate-/l* unswap-sqr
cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out-- inv-pow difference-of-squares
Counts
2 → 84
Calls
2 calls:
5.0ms
(/ 1 (+ x y))
13.0ms
(* (- x y) (/ 1 (+ x y)))

series95.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ 1 (+ x y))
64.0ms
(* (- x y) (/ 1 (+ x y)))

simplify36.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0270431
11245372
25001327

prune87.0ms

Filtered
90 candidates to 49 candidates (54.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh022
Picked011
Done011
Total90494

Merged error: 0b

Counts
94 → 4

regimes32.0ms

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
097
197

end0.0ms

sample268.0ms

Algorithm
intervals
Results
148.0ms8000×body80valid

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