Details

Time bar (total: 1.9s)

analyze53.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 99.014282%

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify16.0ms

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

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:
10.0ms
(/ (- x y) (- 2.0 (+ x y)))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify115.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0275489
1853468
24104466
35002466

prune64.0ms

Filtered
38 candidates to 61 candidates (-60.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New58361
Fresh000
Picked101
Done000
Total59362

Merged error: 0b

Counts
62 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
0.0b
(/ y (- 2.0 (+ x y)))
0.0b
(/ x (- 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:
35.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
9.0ms
(/ y (- 2.0 (+ x y)))
7.0ms
(/ x (- 2.0 (+ x y)))

series28.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
6.0ms
(/ y (- 2.0 (+ x y)))
7.0ms
(/ x (- 2.0 (+ x y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0377899
11162864
25001858

prune128.0ms

Filtered
85 candidates to 125 candidates (-47.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1250125
Fresh022
Picked011
Done000
Total1253128

Merged error: 0b

Counts
128 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y))))
0.7b
(cbrt (- 2.0 (+ x y)))
0.7b
(cbrt (- 2.0 (+ x y)))
0.7b
(cbrt (- 2.0 (+ x y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
58×cbrt-prod
37×add-sqr-sqrt
22×distribute-lft-out--
18×cbrt-div
15×add-cube-cbrt swap-sqr
11×pow1 distribute-lft-out
9×flip3-- pow1/3 associate-*r* associate-*l* flip--
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 111
Calls
4 calls:
15.0ms
(* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y))))
5.0ms
(cbrt (- 2.0 (+ x y)))
5.0ms
(cbrt (- 2.0 (+ x y)))
5.0ms
(cbrt (- 2.0 (+ x y)))

series71.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y))))
17.0ms
(cbrt (- 2.0 (+ x y)))
16.0ms
(cbrt (- 2.0 (+ x y)))
17.0ms
(cbrt (- 2.0 (+ x y)))

simplify134.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 3 (118.0ms)

IterNodesCost
03351180
110081129
246111029
350011024

prune230.0ms

Filtered
81 candidates to 123 candidates (-51.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh011
Picked011
Done011
Total1233126

Merged error: 0b

Counts
126 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.1b
(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
26.1b
(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
54×add-sqr-sqrt
41×times-frac
30×associate-*l*
29×add-cube-cbrt
20×difference-of-squares
12×pow1 add-exp-log add-cbrt-cube
9×associate-*r* distribute-lft-out distribute-lft-out--
8×flip3-+ flip-+
6×frac-times swap-sqr
5×associate-/l*
4×associate-*r/ associate-/r* associate-/r/
3×flip3-- associate-*l/ prod-exp flip-- cbrt-unprod add-log-exp unswap-sqr
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down *-commutative div-inv associate-/l/
1×pow2 frac-2neg pow-plus div-sub clear-num pow-sqr pow-prod-up
Counts
3 → 139
Calls
3 calls:
8.0ms
(* (+ x y) (+ x y))
17.0ms
(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
8.0ms
(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

series36.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (+ x y) (+ x y))
17.0ms
(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
15.0ms
(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

simplify116.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
08061462
142131347
250011343

prune145.0ms

Filtered
99 candidates to 148 candidates (-49.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1480148
Fresh000
Picked011
Done022
Total1483151

Merged error: 0b

Counts
151 → 3

regimes70.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097
197

end0.0ms

analyze53.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 99.014282%

sample341.0ms

Algorithm
intervals
Results
206.0ms7999×body80valid
0.0ms1×body1280valid

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