Details

Time bar (total: 2.9s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1284
2434
3564
4724
51334
62144
72654
82974
92974

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize8.0ms

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)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify115.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0275489
1853468
24104466
35001466

prune83.0ms

Filtered
61 candidates to 38 candidates (62.3%)
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)))
0.0b
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

rewrite56.0ms

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)))
7.0ms
(/ x (- 2.0 (+ x y)))
35.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series160.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ y (- 2.0 (+ x y)))
50.0ms
(/ x (- 2.0 (+ x y)))
65.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify45.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0377899
11162864
25001858

prune165.0ms

Filtered
125 candidates to 84 candidates (67.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh022
Picked011
Done011
Total1254129

Merged error: 0b

Counts
129 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))
0.1b
(pow (/ (- x y) (- 2.0 (+ x y))) 3)
5.2b
(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
258×*-un-lft-identity
180×add-sqr-sqrt
150×times-frac
83×distribute-lft-out--
78×cbrt-prod
72×unpow-prod-down cube-prod
66×add-cube-cbrt
57×difference-of-squares
26×distribute-lft-out
10×associate-/r/
8×add-exp-log add-cbrt-cube
6×flip3-- associate-/r* flip--
5×div-inv associate-/l*
4×pow1
3×pow-unpow add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 div-sub clear-num rem-cbrt-cube
Counts
3 → 238
Calls
3 calls:
9.0ms
(/ (- x y) (- 2.0 (+ x y)))
15.0ms
(pow (/ (- x y) (- 2.0 (+ x y))) 3)
14.0ms
(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

series181.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (- x y) (- 2.0 (+ x y)))
76.0ms
(pow (/ (- x y) (- 2.0 (+ x y))) 3)
53.0ms
(cbrt (pow (/ (- x y) (- 2.0 (+ x y))) 3))

simplify95.0ms

Algorithm
egg-herbie
Counts
247 → 247
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07202331
130992212
250012188

prune251.0ms

Filtered
247 candidates to 98 candidates (39.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2470247
Fresh011
Picked011
Done022
Total2474251

Merged error: 0b

Counts
251 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
169×*-un-lft-identity
136×add-sqr-sqrt
100×times-frac
85×sqrt-prod
54×associate-*r*
52×add-cube-cbrt
50×distribute-lft-out--
33×difference-of-squares
17×distribute-lft-out
11×add-exp-log add-cbrt-cube
10×sqrt-div
8×pow1 associate-*l* associate-/l*
7×flip3-- flip--
6×associate-/r* unswap-sqr
4×associate-/r/ add-log-exp
2×cbrt-undiv frac-times rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 198
Calls
4 calls:
3.0ms
(sqrt (- x y))
3.0ms
(sqrt (- x y))
10.0ms
(/ (sqrt (- x y)) (- 2.0 (+ x y)))
29.0ms
(* (sqrt (- x y)) (/ (sqrt (- x y)) (- 2.0 (+ x y))))

series733.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(sqrt (- x y))
146.0ms
(sqrt (- x y))
387.0ms
(/ (sqrt (- x y)) (- 2.0 (+ x y)))
55.0ms
(* (sqrt (- x y)) (/ (sqrt (- x y)) (- 2.0 (+ x y))))

simplify83.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05911897
124121772
250011701

prune314.0ms

Filtered
210 candidates to 118 candidates (56.2%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2100210
Fresh000
Picked011
Done033
Total2104214

Merged error: 0b

Counts
214 → 4

regimes47.0ms

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

sample326.0ms

Algorithm
intervals
Results
195.0ms7997×body80valid
0.0ms2×body640valid
0.0ms1×body1280valid

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