Details

Time bar (total: 2.0s)

sample20.0ms

Algorithm
intervals
Results
11.0ms256×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)))

rewrite13.0ms

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)))

series7.0ms

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

simplify119.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0275489
1853468
24104466
35001466

prune64.0ms

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: 0b

Counts
62 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- 2.0 (+ x y)))
0.0b
(- (/ x (- 2.0 (+ x y))) (/ 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:
7.0ms
(/ y (- 2.0 (+ x y)))
38.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
7.0ms
(/ x (- 2.0 (+ x y)))

series24.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ y (- 2.0 (+ x y)))
12.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
6.0ms
(/ x (- 2.0 (+ x y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0377899
11162864
25001858

prune129.0ms

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: 0b

Counts
128 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
292×*-un-lft-identity
258×times-frac
214×add-sqr-sqrt
100×add-cube-cbrt
83×distribute-lft-out--
57×difference-of-squares
41×associate-/r*
26×distribute-lft-out
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×flip3-- flip-- div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 226
Calls
2 calls:
9.0ms
(/ (- 2.0 (+ x y)) (- x y))
14.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ (- 2.0 (+ x y)) (- x y))
7.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

simplify77.0ms

Algorithm
egg-herbie
Counts
232 → 232
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06452314
131022111
250011924

prune125.0ms

Filtered
232 candidates to 92 candidates (60.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2320232
Fresh011
Picked011
Done011
Total2323235

Merged error: 0b

Counts
235 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
659×*-un-lft-identity
338×sqrt-prod
333×add-sqr-sqrt
326×times-frac
215×distribute-lft-out--
109×add-cube-cbrt
95×swap-sqr difference-of-squares
68×distribute-lft-out
39×associate-*r* associate-*l*
21×pow1
14×associate-/r/
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-exp-log flip3-- add-cbrt-cube flip--
7×div-inv
6×sqrt-div associate-/r*
5×pow-prod-up associate-/l*
4×rem-sqrt-square add-log-exp
3×pow-prod-down pow-sqr
2×associate-/l/
1×cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod div-sub associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 364
Calls
4 calls:
9.0ms
(/ (- x y) (- 2.0 (+ x y)))
10.0ms
(sqrt (/ (- x y) (- 2.0 (+ x y))))
10.0ms
(sqrt (/ (- x y) (- 2.0 (+ x y))))
60.0ms
(* (sqrt (/ (- x y) (- 2.0 (+ x y)))) (sqrt (/ (- x y) (- 2.0 (+ x y)))))

series108.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ (- x y) (- 2.0 (+ x y)))
44.0ms
(sqrt (/ (- x y) (- 2.0 (+ x y))))
50.0ms
(sqrt (/ (- x y) (- 2.0 (+ x y))))
8.0ms
(* (sqrt (/ (- x y) (- 2.0 (+ x y)))) (sqrt (/ (- x y) (- 2.0 (+ x y)))))

simplify110.0ms

Algorithm
egg-herbie
Counts
376 → 376
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06263586
128273418
250033373

prune367.0ms

Filtered
376 candidates to 182 candidates (51.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3760376
Fresh000
Picked011
Done022
Total3763379

Merged error: 0b

Counts
379 → 3

regimes104.0ms

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

sample400.0ms

Algorithm
intervals
Results
202.0ms7998×body80valid
0.0ms1×body640valid
0.0ms1×body320valid

Profiling

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