Details

Time bar (total: 9.5s)

sample17.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1284
2434
3564
4724
51334
62144
72654
82974
92974

prune3.0ms

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

localize10.0ms

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
associate-/r* distribute-lft-out
associate-/l*
add-exp-log add-cbrt-cube
flip3-- associate-/r/ flip-- associate-/l/
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)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify115.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0275489
1853468
24104466
35001466

prune124.0ms

Filtered
61 candidates to 38 candidates (37.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New58361
Fresh000
Picked101
Done000
Total59362

Merged error: 0.0b

Counts
62 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

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*
associate-/r/
add-exp-log add-cbrt-cube
associate-/l*
flip3-- flip-- add-log-exp
div-inv
pow1 distribute-rgt-out--
cbrt-undiv frac-2neg div-exp clear-num
sub-neg diff-log frac-sub sub-div
Counts
3 → 116
Calls
3 calls:
6.0ms
(/ x (- 2.0 (+ x y)))
32.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
9.0ms
(/ y (- 2.0 (+ x y)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ x (- 2.0 (+ x y)))
72.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
54.0ms
(/ y (- 2.0 (+ x y)))

simplify40.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0377899
11162864
25001858

prune632.0ms

Filtered
125 candidates to 85 candidates (32.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1250125
Fresh022
Picked011
Done000
Total1253128

Merged error: 0.0b

Counts
128 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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--
add-cbrt-cube
difference-of-squares
distribute-lft-out
associate-/r*
pow1 associate-*l*
flip3-- div-exp prod-exp associate-/r/ flip--
associate-/l* unswap-sqr
cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv add-log-exp
pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 98
Calls
2 calls:
7.0ms
(/ 1 (- 2.0 (+ x y)))
14.0ms
(* (- x y) (/ 1 (- 2.0 (+ x y))))

series102.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ 1 (- 2.0 (+ x y)))
58.0ms
(* (- x y) (/ 1 (- 2.0 (+ x y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0364644
11671563
25002513

prune209.0ms

Filtered
104 candidates to 57 candidates (45.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh101
Picked011
Done011
Total1043107

Merged error: 0b

Counts
107 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

1.8b
(+ (* y y) (* x y))
3.6b
(- (pow x 3) (pow y 3))
7.7b
(/ (- (pow x 3) (pow y 3)) (- 2.0 (+ x y)))
30.1b
(/ (/ (- (pow x 3) (pow y 3)) (- 2.0 (+ x y))) (+ (* x x) (+ (* y y) (* x y))))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
1342×add-sqr-sqrt
1272×*-un-lft-identity
1218×times-frac
638×difference-of-squares
412×distribute-lft-out--
384×unpow-prod-down cube-prod
322×add-cube-cbrt
256×sqr-pow
181×associate-/l*
126×distribute-lft-out
32×difference-cubes
12×associate-/r/
11×add-exp-log add-cbrt-cube
associate-/r*
add-log-exp
flip3-- flip--
div-inv
pow1 cbrt-undiv div-exp
div-sub associate-/l/
frac-2neg flip3-+ clear-num flip-+
+-commutative sub-neg distribute-rgt-out diff-log sum-log
Counts
4 → 889
Calls
4 calls:
3.0ms
(+ (* y y) (* x y))
10.0ms
(- (pow x 3) (pow y 3))
20.0ms
(/ (- (pow x 3) (pow y 3)) (- 2.0 (+ x y)))
48.0ms
(/ (/ (- (pow x 3) (pow y 3)) (- 2.0 (+ x y))) (+ (* x x) (+ (* y y) (* x y))))

series291.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (* y y) (* x y))
58.0ms
(- (pow x 3) (pow y 3))
70.0ms
(/ (- (pow x 3) (pow y 3)) (- 2.0 (+ x y)))
131.0ms
(/ (/ (- (pow x 3) (pow y 3)) (- 2.0 (+ x y))) (+ (* x x) (+ (* y y) (* x y))))

simplify210.0ms

Algorithm
egg-herbie
Counts
901 → 901
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
0176818287
1500217879

prune6.7s

Filtered
901 candidates to 366 candidates (59.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New9010901
Fresh000
Picked011
Done022
Total9013904

Merged error: 0b

Counts
904 → 3

regimes76.0ms

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

sample373.0ms

Algorithm
intervals
Results
179.0ms7999×body80valid
0.0msbody320valid

Profiling

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