Details

Time bar (total: 2.4s)

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

localize7.0ms

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))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (- x y) (+ x y))

simplify45.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0187290
1526276
21771276
35002273

prune73.0ms

Filtered
49 candidates to 33 candidates (67.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New45449
Fresh000
Picked011
Done000
Total45550

Merged error: 0b

Counts
50 → 5

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

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
(/ y (+ x y))
5.0ms
(/ x (+ x y))
22.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series156.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ y (+ x y))
43.0ms
(/ x (+ x y))
74.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0260536
1791515
22132515
35001515

prune132.0ms

Filtered
103 candidates to 72 candidates (69.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1021103
Fresh123
Picked101
Done011
Total1044108

Merged error: 0b

Counts
108 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ y (+ x y)))
0.0b
(/ x (+ x y))
0.0b
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
1.9b
(log (exp (/ y (+ x y))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
37×times-frac
36×add-sqr-sqrt exp-prod
31×add-cube-cbrt
20×log-pow
10×distribute-lft-out
6×pow1 add-exp-log log-prod associate-/r/ add-cbrt-cube add-log-exp
4×associate-/r*
3×flip3-+ flip-+ div-inv associate-/l* associate--r+
2×distribute-lft-out-- difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp rem-log-exp clear-num flip-- rem-exp-log
Counts
4 → 108
Calls
4 calls:
6.0ms
(exp (/ y (+ x y)))
5.0ms
(/ x (+ x y))
28.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
7.0ms
(log (exp (/ y (+ x y))))

series224.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(exp (/ y (+ x y)))
38.0ms
(/ x (+ x y))
77.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
44.0ms
(log (exp (/ y (+ x y))))

simplify56.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0264595
1706541
21787536
35002532

prune201.0ms

Filtered
120 candidates to 89 candidates (74.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh022
Picked011
Done011
Total1204124

Merged error: 0b

Counts
124 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x y)) (cbrt (- x y)))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
11.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))

series580.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
145.0ms
(cbrt (- x y))
151.0ms
(cbrt (- x y))
156.0ms
(cbrt (- x y))

simplify150.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (141.0ms)

IterNodesCost
0261760
1912723
24506670
35001660

prune209.0ms

Filtered
113 candidates to 81 candidates (71.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh011
Picked011
Done022
Total1134117

Merged error: 0b

Counts
117 → 4

regimes44.0ms

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
063
163

end0.0ms

sample275.0ms

Algorithm
intervals
Results
149.0ms8000×body80valid