Details

Time bar (total: 1.6s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify16.0ms

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

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

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)))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify118.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0275489
1853468
24104466
35001466

prune69.0ms

Filtered
61 candidates to 38 candidates (37.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New56561
Fresh000
Picked101
Done000
Total57562

Merged error: 0b

Counts
62 → 5

localize6.0ms

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)))

rewrite54.0ms

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:
36.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
6.0ms
(/ y (- 2.0 (+ x y)))
6.0ms
(/ x (- 2.0 (+ x y)))

series24.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
6.0ms
(/ y (- 2.0 (+ x y)))
6.0ms
(/ x (- 2.0 (+ x y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0377899
11162864
25001858

prune134.0ms

Filtered
125 candidates to 85 candidates (32.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1241125
Fresh134
Picked101
Done000
Total1264130

Merged error: 0b

Counts
130 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- 2.0 (+ x y)))
0.2b
(* (- 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--
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:
7.0ms
(/ 1 (- 2.0 (+ x y)))
15.0ms
(* (- x y) (/ 1 (- 2.0 (+ x y))))

series13.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (- 2.0 (+ x y)))
8.0ms
(* (- x y) (/ 1 (- 2.0 (+ x y))))

simplify51.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0364644
11671563
25002513

prune86.0ms

Filtered
104 candidates to 56 candidates (46.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1040104
Fresh033
Picked011
Done000
Total1044108

Merged error: 0b

Counts
108 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log (exp (/ x (- 2.0 (+ x y))))) (/ y (- 2.0 (+ x y))))
0.0b
(/ y (- 2.0 (+ x y)))
0.0b
(/ x (- 2.0 (+ x y)))
3.6b
(log (exp (/ x (- 2.0 (+ x y)))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
96×*-un-lft-identity
65×add-sqr-sqrt
55×times-frac
38×add-cube-cbrt
26×log-pow
24×exp-prod distribute-lft-out--
13×difference-of-squares
12×associate-/r*
11×distribute-lft-out
8×add-exp-log add-cbrt-cube
6×pow1 log-prod associate-/r/ associate-/l*
5×add-log-exp
4×flip3-- flip--
3×associate--l+ div-inv
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log rem-log-exp
Counts
4 → 137
Calls
4 calls:
42.0ms
(- (log (exp (/ x (- 2.0 (+ x y))))) (/ y (- 2.0 (+ x y))))
7.0ms
(/ y (- 2.0 (+ x y)))
7.0ms
(/ x (- 2.0 (+ x y)))
10.0ms
(log (exp (/ x (- 2.0 (+ x y)))))

series31.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(- (log (exp (/ x (- 2.0 (+ x y))))) (/ y (- 2.0 (+ x y))))
6.0ms
(/ y (- 2.0 (+ x y)))
6.0ms
(/ x (- 2.0 (+ x y)))
7.0ms
(log (exp (/ x (- 2.0 (+ x y)))))

simplify175.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0404977
11179912
24912904
35001904

prune183.0ms

Filtered
149 candidates to 107 candidates (28.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1490149
Fresh022
Picked011
Done011
Total1494153

Merged error: 0b

Counts
153 → 4

regimes110.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample383.0ms

Algorithm
intervals
Results
198.0ms7999×body80valid
0.0ms1×body640valid

Profiling

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