Details

Time bar (total: 3.0s)

sample20.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1284
2434
3564
4724
51334
62144
72654
82974
92974

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

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:
20.0ms
(/ (- x y) (- 2.0 (+ x y)))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify134.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0275489
1853468
24118466
35002466

prune92.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

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)))

rewrite145.0ms

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:
14.0ms
(/ y (- 2.0 (+ x y)))
112.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
14.0ms
(/ x (- 2.0 (+ x y)))

series151.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ y (- 2.0 (+ x y)))
63.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
46.0ms
(/ x (- 2.0 (+ x y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0377899
11162864
25001858

prune223.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- 2.0 (+ x y)))
0.1b
(* (- x y) (/ 1 (- 2.0 (+ x y))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
47×add-sqr-sqrt
38×times-frac
24×add-cube-cbrt associate-*r*
15×add-exp-log distribute-lft-out--
9×add-cbrt-cube
8×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×pow1 associate-*l*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 98
Calls
2 calls:
17.0ms
(/ 1 (- 2.0 (+ x y)))
41.0ms
(* (- x y) (/ 1 (- 2.0 (+ x y))))

series87.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ 1 (- 2.0 (+ x y)))
46.0ms
(* (- x y) (/ 1 (- 2.0 (+ x y))))

simplify48.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0364646
11671565
25002515

prune146.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
0.0b
(/ x (- 2.0 (+ x y)))
0.1b
(pow (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) 3)
6.2b
(cbrt (pow (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) 3))

rewrite454.0ms

Algorithm
rewrite-expression-head
Rules
351×*-un-lft-identity
158×times-frac
133×distribute-lft-out--
119×add-sqr-sqrt
52×cbrt-prod
46×unpow-prod-down cube-prod
34×distribute-lft-out difference-of-squares
31×add-cube-cbrt
22×associate-/r/
15×distribute-rgt-out--
14×flip3-- flip--
11×div-inv
8×cube-div
7×add-exp-log add-cbrt-cube
6×associate-/r* add-log-exp
5×pow1
4×cbrt-div
3×pow-unpow frac-sub associate-/l* sub-div
2×cube-mult unpow3 sqr-pow
1×cbrt-undiv pow-to-exp sub-neg pow-pow frac-2neg pow1/3 diff-log div-exp pow-exp clear-num rem-cbrt-cube rem-cube-cbrt
Counts
4 → 207
Calls
4 calls:
115.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
14.0ms
(/ x (- 2.0 (+ x y)))
160.0ms
(pow (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) 3)
150.0ms
(cbrt (pow (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) 3))

series277.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
44.0ms
(/ x (- 2.0 (+ x y)))
96.0ms
(pow (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) 3)
70.0ms
(cbrt (pow (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))) 3))

simplify78.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06492338
125712270
250022256

prune347.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

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

sample573.0ms

Algorithm
intervals
Results
438.0ms8000×body80valid