Details

Time bar (total: 1.6s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
097
197

prune2.0ms

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-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
7.0ms
(/ (+ x y) (- x y))

series8.0ms

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

simplify40.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05215532

prune52.0ms

Filtered
32 candidates to 48 candidates (-50.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New43548
Fresh000
Picked101
Done000
Total44549

Merged error: 0.0b

Counts
49 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 174
Calls
2 calls:
11.0ms
(/ 1 (/ (- x y) (+ x y)))
7.0ms
(/ (- x y) (+ x y))

series16.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ 1 (/ (- x y) (+ x y)))
8.0ms
(/ (- x y) (+ x y))

simplify60.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
051282391

prune114.0ms

Filtered
92 candidates to 180 candidates (-95.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1782180
Fresh134
Picked011
Done000
Total1796185

Merged error: 0b

Counts
185 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
190×*-un-lft-identity
155×times-frac
114×add-sqr-sqrt
54×add-cube-cbrt
35×distribute-lft-out--
28×associate-/r/ distribute-lft-out
25×associate-/r*
20×difference-of-squares
15×distribute-rgt-out--
13×div-inv
12×add-exp-log flip3-+ flip-+
10×add-cbrt-cube
9×associate-/l*
6×add-log-exp
5×pow1
4×div-exp
3×cbrt-undiv frac-2neg clear-num
2×flip3-- frac-sub flip-- sub-div
1×sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
4 → 185
Calls
4 calls:
25.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
5.0ms
(/ y (+ x y))
5.0ms
(/ x (+ x y))
25.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series38.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
5.0ms
(/ y (+ x y))
5.0ms
(/ x (+ x y))
12.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify93.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
049612492
149612492

prune160.0ms

Filtered
127 candidates to 197 candidates (-55.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1970197
Fresh044
Picked011
Done011
Total1976203

Merged error: 0b

Counts
203 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
306×*-un-lft-identity
238×cbrt-prod
190×times-frac
174×add-sqr-sqrt
86×add-cube-cbrt
53×distribute-lft-out
51×swap-sqr
44×distribute-lft-out--
32×difference-of-squares
29×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 244
Calls
4 calls:
6.0ms
(cbrt (/ (- x y) (+ x y)))
6.0ms
(cbrt (/ (- x y) (+ x y)))
6.0ms
(cbrt (/ (- x y) (+ x y)))
29.0ms
(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))

series111.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (/ (- x y) (+ x y)))
31.0ms
(cbrt (/ (- x y) (+ x y)))
27.0ms
(cbrt (/ (- x y) (+ x y)))
25.0ms
(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))

simplify87.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049724407
149724407

prune166.0ms

Filtered
149 candidates to 256 candidates (-71.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2560256
Fresh033
Picked011
Done022
Total2566262

Merged error: 0b

Counts
262 → 6

regimes122.0ms

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
01013
11013

end0.0ms

sample362.0ms

Algorithm
intervals
Results
167.0ms8000×body80valid

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