Details

Time bar (total: 3.4s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0368
11528
25018
321538
450018

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: 22.0b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.1b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
21.8b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-times flip3-+ flip-+
31×add-exp-log add-cbrt-cube
30×associate-*l/
27×*-un-lft-identity
26×associate-/r/
18×associate-*r/
15×pow1
13×prod-exp cbrt-unprod
11×add-sqr-sqrt
9×associate-*r* distribute-lft-out
8×add-cube-cbrt
6×cbrt-undiv swap-sqr div-exp
5×associate-*l*
4×pow-prod-down
3×add-log-exp
2×distribute-rgt-in distribute-lft-in *-commutative unswap-sqr
1×pow2 frac-2neg times-frac pow-plus clear-num associate-/r* pow-sqr pow-prod-up div-inv associate-/l*
Counts
3 → 140
Calls
3 calls:
8.0ms
(* (+ x y) (+ x y))
15.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
20.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series225.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* (+ x y) (+ x y))
41.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
164.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
09161489
150011351

prune267.0ms

Filtered
149 candidates to 88 candidates (59.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1436149
Fresh000
Picked101
Done000
Total1446150

Merged error: 8.9b

Counts
150 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.0b
(/ y (+ (+ x y) 1.0))
0.1b
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
19.4b
(/ x (* (+ x y) (+ x y)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
80×*-un-lft-identity
43×add-sqr-sqrt
40×times-frac
34×add-exp-log add-cbrt-cube
31×add-cube-cbrt
27×distribute-lft-out
25×associate-*r*
20×flip3-+ associate-/r/ flip-+
19×associate-*l*
13×pow1 frac-times
10×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*r/ associate-*l/
6×swap-sqr associate-/r* associate-/l*
5×unswap-sqr
4×div-inv add-log-exp
2×frac-2neg pow-prod-down clear-num *-commutative
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-sqr pow-prod-up
Counts
4 → 170
Calls
4 calls:
8.0ms
(* (+ x y) (+ x y))
12.0ms
(/ y (+ (+ x y) 1.0))
22.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
9.0ms
(/ x (* (+ x y) (+ x y)))

series294.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* (+ x y) (+ x y))
51.0ms
(/ y (+ (+ x y) 1.0))
159.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
69.0ms
(/ x (* (+ x y) (+ x y)))

simplify98.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
06611282
135911138
250011127

prune284.0ms

Filtered
182 candidates to 112 candidates (61.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1748182
Fresh505
Picked011
Done000
Total1799188

Merged error: 0.0b

Counts
188 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ x y))
0.0b
(/ x (+ x y))
0.0b
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
0.1b
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
99×add-exp-log
90×*-un-lft-identity
67×times-frac
61×add-cbrt-cube
59×add-sqr-sqrt
47×add-cube-cbrt
40×prod-exp
36×associate-*l*
33×div-exp
23×distribute-lft-out
22×associate-*r* cbrt-unprod
19×cbrt-undiv
12×pow1
10×associate-/r/
8×associate-/r*
6×frac-times rec-exp 1-exp associate-*r/ associate-/l*
5×flip3-+ flip-+ div-inv
4×pow-prod-down associate-*l/ add-log-exp unswap-sqr
2×frac-2neg clear-num *-commutative
1×pow-flip inv-pow
Counts
4 → 199
Calls
4 calls:
5.0ms
(/ 1 (+ x y))
5.0ms
(/ x (+ x y))
23.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
20.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series361.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ 1 (+ x y))
45.0ms
(/ x (+ x y))
120.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
163.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify105.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
07861629
145591359
250021332

prune275.0ms

Filtered
211 candidates to 117 candidates (55.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2083211
Fresh527
Picked011
Done011
Total2137220

Merged error: 0b

Counts
220 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ (+ x y) 1.0))
0.0b
(/ x (+ x y))
0.0b
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
0.1b
(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
95×*-un-lft-identity
62×times-frac
54×add-sqr-sqrt
42×add-cube-cbrt
38×add-exp-log add-cbrt-cube
30×distribute-lft-out
21×associate-*r*
18×associate-*l*
15×cbrt-undiv div-exp
13×associate-/r*
10×associate-/r/
8×prod-exp cbrt-unprod
7×associate-/l*
6×pow1
5×flip3-+ flip-+ div-inv
4×add-log-exp unswap-sqr
3×frac-2neg clear-num associate-/l/
2×frac-times associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 167
Calls
4 calls:
7.0ms
(/ y (+ (+ x y) 1.0))
5.0ms
(/ x (+ x y))
19.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
16.0ms
(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

series376.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ y (+ (+ x y) 1.0))
38.0ms
(/ x (+ x y))
126.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
162.0ms
(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

simplify78.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06281285
134181122
250011122

prune243.0ms

Filtered
179 candidates to 118 candidates (65.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1790179
Fresh044
Picked011
Done022
Total1797186

Merged error: 0b

Counts
186 → 7

regimes48.0ms

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
0128
1128

end0.0ms

sample412.0ms

Algorithm
intervals
Results
280.0ms8000×body80valid

Profiling

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