Details

Time bar (total: 1.2s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0167
1167

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

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))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (- x y) (+ x y))

simplify43.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05580538

prune45.0ms

Filtered
33 candidates to 49 candidates (-48.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New47249
Fresh000
Picked011
Done000
Total47350

Merged error: 0.0b

Counts
50 → 3

localize6.0ms

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)))

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
(/ y (+ x y))
5.0ms
(/ x (+ x y))
21.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series24.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ y (+ x y))
7.0ms
(/ x (+ x y))
11.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify65.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
056121020

prune79.0ms

Filtered
73 candidates to 103 candidates (-41.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh011
Picked011
Done011
Total1024106

Merged error: 0b

Counts
106 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

7.5b
(sqrt (/ x (+ x y)))
7.5b
(sqrt (/ x (+ x y)))
7.9b
(sqrt (/ y (+ x y)))
7.9b
(sqrt (/ y (+ x y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
72×sqrt-prod
60×*-un-lft-identity
52×times-frac
48×add-sqr-sqrt
36×add-cube-cbrt
12×distribute-lft-out
8×pow1 rem-sqrt-square associate-/r/
4×add-exp-log sqrt-pow1 flip3-+ pow1/2 sqrt-div add-cbrt-cube flip-+ div-inv add-log-exp
Counts
4 → 120
Calls
4 calls:
5.0ms
(sqrt (/ x (+ x y)))
5.0ms
(sqrt (/ x (+ x y)))
5.0ms
(sqrt (/ y (+ x y)))
5.0ms
(sqrt (/ y (+ x y)))

series32.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sqrt (/ x (+ x y)))
8.0ms
(sqrt (/ x (+ x y)))
8.0ms
(sqrt (/ y (+ x y)))
8.0ms
(sqrt (/ y (+ x y)))

simplify62.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049271216
149271216

prune113.0ms

Filtered
104 candidates to 132 candidates (-26.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1320132
Fresh011
Picked011
Done022
Total1324136

Merged error: 0b

Counts
136 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (sqrt (- x y)) (+ x y))
0.1b
(* (sqrt (- x y)) (/ (sqrt (- x y)) (+ x y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
94×*-un-lft-identity
76×add-sqr-sqrt
68×times-frac
55×sqrt-prod
40×add-cube-cbrt
38×associate-*r*
17×distribute-lft-out
10×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
8×associate-*l* associate-/l*
6×sqrt-div unswap-sqr
4×pow1 associate-/r* associate-/r/
3×flip3-- flip--
2×cbrt-undiv frac-times flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ div-inv associate-/l/ add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 130
Calls
2 calls:
10.0ms
(/ (sqrt (- x y)) (+ x y))
19.0ms
(* (sqrt (- x y)) (/ (sqrt (- x y)) (+ x y)))

series20.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ (sqrt (- x y)) (+ x y))
8.0ms
(* (sqrt (- x y)) (/ (sqrt (- x y)) (+ x y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
055241713

prune78.0ms

Filtered
78 candidates to 136 candidates (-74.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1360136
Fresh000
Picked011
Done033
Total1364140

Merged error: 0b

Counts
140 → 4

regimes104.0ms

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
0711
1711

end0.0ms

sample360.0ms

Algorithm
intervals
Results
168.0ms8000×body80valid

Profiling

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