Details

Time bar (total: 4.3s)

sample16.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1284
2434
3564
4724
51334
62144
72654
82974
92974

prune7.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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) (- 2.0 (+ x y)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
14×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 58
Calls
1 calls:
9.0ms
(/ (- x y) (- 2.0 (+ x y)))

series8.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify109.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0275489
1853468
24104466
35001466

prune124.0ms

Filtered
61 candidates to 38 candidates (37.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New58361
Fresh000
Picked011
Done000
Total58462

Merged error: 0b

Counts
62 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- 2.0 (+ x y)))
0.0b
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
0.0b
(/ x (- 2.0 (+ x y)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
127×*-un-lft-identity
64×times-frac
59×add-sqr-sqrt
41×distribute-lft-out--
27×add-cube-cbrt
14×distribute-lft-out difference-of-squares
12×associate-/r*
8×associate-/r/
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×flip3-- flip-- add-log-exp
4×div-inv
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 116
Calls
3 calls:
7.0ms
(/ y (- 2.0 (+ x y)))
40.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
7.0ms
(/ x (- 2.0 (+ x y)))

series25.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ y (- 2.0 (+ x y)))
12.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
6.0ms
(/ x (- 2.0 (+ x y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0377899
11162864
25001858

prune423.0ms

Filtered
125 candidates to 84 candidates (32.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1241125
Fresh112
Picked101
Done011
Total1263129

Merged error: 0b

Counts
129 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))
0.2b
(cbrt (/ (- x y) (- 2.0 (+ x y))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
651×*-un-lft-identity
372×cbrt-prod
324×times-frac
318×add-sqr-sqrt
212×distribute-lft-out--
108×add-cube-cbrt
93×swap-sqr difference-of-squares
67×distribute-lft-out
39×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 → 336
Calls
4 calls:
46.0ms
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
9.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
9.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
9.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))

series81.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y)))))
19.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
19.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))
19.0ms
(cbrt (/ (- x y) (- 2.0 (+ x y))))

simplify89.0ms

Algorithm
egg-herbie
Counts
348 → 348
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05054981
116774880
250014600

prune1.7s

Filtered
348 candidates to 176 candidates (49.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3480348
Fresh011
Picked011
Done011
Total3483351

Merged error: 0b

Counts
351 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- 2.0 (+ x y))) (cbrt (pow (/ y (- 2.0 (+ x y))) 3)))
0.0b
(/ x (- 2.0 (+ x y)))
0.1b
(pow (/ y (- 2.0 (+ x y))) 3)
19.6b
(cbrt (pow (/ y (- 2.0 (+ x y))) 3))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
139×*-un-lft-identity
126×add-sqr-sqrt
101×times-frac
66×cbrt-prod
57×add-cube-cbrt
52×unpow-prod-down cube-prod
33×distribute-lft-out--
30×difference-of-squares
16×distribute-lft-out
10×associate-/r/
9×add-exp-log add-cbrt-cube
6×flip3-- associate-/r* flip-- add-log-exp
5×pow1 div-inv
4×sqr-pow
3×cube-div pow-unpow associate-/l*
2×cbrt-undiv cube-mult cbrt-div unpow3 div-exp pow-exp rem-cube-cbrt
1×pow-to-exp sub-neg pow-pow frac-2neg pow1/3 diff-log clear-num frac-sub rem-cbrt-cube
Counts
4 → 201
Calls
4 calls:
68.0ms
(- (/ x (- 2.0 (+ x y))) (cbrt (pow (/ y (- 2.0 (+ x y))) 3)))
9.0ms
(/ x (- 2.0 (+ x y)))
9.0ms
(pow (/ y (- 2.0 (+ x y))) 3)
10.0ms
(cbrt (pow (/ y (- 2.0 (+ x y))) 3))

series43.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (/ x (- 2.0 (+ x y))) (cbrt (pow (/ y (- 2.0 (+ x y))) 3)))
6.0ms
(/ x (- 2.0 (+ x y)))
11.0ms
(pow (/ y (- 2.0 (+ x y))) 3)
10.0ms
(cbrt (pow (/ y (- 2.0 (+ x y))) 3))

simplify86.0ms

Algorithm
egg-herbie
Counts
213 → 213
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
07081855
129401715
250011703

prune763.0ms

Filtered
213 candidates to 105 candidates (50.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2130213
Fresh000
Picked011
Done022
Total2133216

Merged error: 0b

Counts
216 → 3

regimes108.0ms

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
084
184

end0.0ms

sample368.0ms

Algorithm
intervals
Results
172.0ms7998×body80valid
0.0ms1×body640valid
0.0ms1×body320valid

Profiling

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