Details

Time bar (total: 3.2s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify19.0ms

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)))

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)))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify117.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0275489
1853468
24118466
35002466

prune101.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

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
(/ x (- 2.0 (+ x y)))
7.0ms
(/ y (- 2.0 (+ x y)))
38.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series157.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ x (- 2.0 (+ x y)))
44.0ms
(/ y (- 2.0 (+ x y)))
66.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify40.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0377899
11162864
25001858

prune214.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ x (- 2.0 (+ x y)))) (cbrt (/ x (- 2.0 (+ x y)))))
7.6b
(cbrt (/ x (- 2.0 (+ x y))))
7.6b
(cbrt (/ x (- 2.0 (+ x y))))
7.6b
(cbrt (/ x (- 2.0 (+ x y))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
267×*-un-lft-identity
216×cbrt-prod
168×times-frac
156×add-sqr-sqrt
90×add-cube-cbrt
66×distribute-lft-out--
45×swap-sqr
33×distribute-lft-out
27×associate-*r* associate-*l*
21×difference-of-squares
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 → 228
Calls
4 calls:
28.0ms
(* (cbrt (/ x (- 2.0 (+ x y)))) (cbrt (/ x (- 2.0 (+ x y)))))
7.0ms
(cbrt (/ x (- 2.0 (+ x y))))
7.0ms
(cbrt (/ x (- 2.0 (+ x y))))
7.0ms
(cbrt (/ x (- 2.0 (+ x y))))

series502.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (cbrt (/ x (- 2.0 (+ x y)))) (cbrt (/ x (- 2.0 (+ x y)))))
128.0ms
(cbrt (/ x (- 2.0 (+ x y))))
121.0ms
(cbrt (/ x (- 2.0 (+ x y))))
124.0ms
(cbrt (/ x (- 2.0 (+ x y))))

simplify67.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04542908
114932829
250022641

prune597.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- 2.0 (+ x y)))
0.6b
(cbrt (- 2.0 (+ x y)))
0.6b
(cbrt (- 2.0 (+ x y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
23×cbrt-prod
16×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
7×distribute-lft-out--
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp difference-of-squares
3×distribute-lft-out
Counts
4 → 63
Calls
4 calls:
3.0ms
(cbrt (- x y))
5.0ms
(cbrt (- 2.0 (+ x y)))
5.0ms
(cbrt (- 2.0 (+ x y)))
5.0ms
(cbrt (- 2.0 (+ x y)))

series469.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (- x y))
107.0ms
(cbrt (- 2.0 (+ x y)))
105.0ms
(cbrt (- 2.0 (+ x y)))
105.0ms
(cbrt (- 2.0 (+ x y)))

simplify69.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0307560
1704534
22432525
35001520

prune247.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes34.0ms

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

sample312.0ms

Algorithm
intervals
Results
188.0ms7998×body80valid
0.0ms2×body1280valid