Details

Time bar (total: 2.6s)

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
0528417

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.8b

Counts
2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) (+ x (+ y 1.0)))
0.1b
(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
5.5b
(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
7.2b
(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
88×frac-times
87×flip3-+ flip-+
52×associate-/r/
45×associate-*r/
39×associate-*r*
34×add-exp-log add-cbrt-cube
26×associate-*l/
21×*-un-lft-identity
16×add-sqr-sqrt
14×prod-exp cbrt-unprod
13×pow1
12×add-cube-cbrt
11×associate-*l*
6×cbrt-undiv times-frac div-exp
5×distribute-rgt-in distribute-lft-in pow-prod-down distribute-lft-out
4×add-log-exp
3×*-commutative associate-/l*
2×div-inv unswap-sqr
1×frac-2neg clear-num associate-/r*
Counts
4 → 184
Calls
4 calls:
11.0ms
(* (+ x y) (+ x (+ y 1.0)))
16.0ms
(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
29.0ms
(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
18.0ms
(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

series263.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (+ x y) (+ x (+ y 1.0)))
11.0ms
(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
229.0ms
(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
16.0ms
(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
051403888

prune299.0ms

Filtered
144 candidates to 196 candidates (-36.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1879196
Fresh011
Picked101
Done000
Total18810198

Merged error: 3.6b

Counts
198 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ y x))
0.0b
(* (+ x y) (+ x (+ y 1.0)))
0.1b
(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
16.9b
(/ y (* (+ x y) (+ x (+ y 1.0))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
34×add-exp-log add-sqr-sqrt add-cbrt-cube
31×times-frac
27×add-cube-cbrt
22×associate-*l*
20×flip3-+ associate-*r* associate-/r/ flip-+
13×frac-times
11×distribute-lft-out
10×cbrt-undiv div-exp prod-exp cbrt-unprod
8×pow1
7×associate-*r/ associate-*l/
6×associate-/l*
5×associate-/r*
4×div-inv add-log-exp
3×unswap-sqr
2×frac-2neg pow-prod-down clear-num *-commutative
1×distribute-rgt-in distribute-lft-in
Counts
4 → 152
Calls
4 calls:
6.0ms
(/ x (+ y x))
13.0ms
(* (+ x y) (+ x (+ y 1.0)))
23.0ms
(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
14.0ms
(/ y (* (+ x y) (+ x (+ y 1.0))))

series48.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ x (+ y x))
10.0ms
(* (+ x y) (+ x (+ y 1.0)))
21.0ms
(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
12.0ms
(/ y (* (+ x y) (+ x (+ y 1.0))))

simplify47.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050442281

prune195.0ms

Filtered
123 candidates to 164 candidates (-33.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1613164
Fresh459
Picked011
Done000
Total1659174

Merged error: 0.0b

Counts
174 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
429×*-un-lft-identity
357×times-frac
177×add-sqr-sqrt
156×add-cube-cbrt
155×distribute-lft-out
96×associate-*r*
34×add-exp-log add-cbrt-cube
32×associate-/r/
24×associate-/l*
18×associate-*l*
16×flip3-+ flip-+ div-inv
14×cbrt-undiv div-exp
13×associate-/r*
6×pow1 prod-exp cbrt-unprod unswap-sqr
4×add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 340
Calls
4 calls:
6.0ms
(/ y (+ y x))
5.0ms
(/ x (+ y x))
14.0ms
(/ (/ y (+ y x)) (+ x (+ y 1.0)))
54.0ms
(* (/ x (+ y x)) (/ (/ y (+ y x)) (+ x (+ y 1.0))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ y (+ y x))
6.0ms
(/ x (+ y x))
12.0ms
(/ (/ y (+ y x)) (+ x (+ y 1.0)))
20.0ms
(* (/ x (+ y x)) (/ (/ y (+ y x)) (+ x (+ y 1.0))))

simplify77.0ms

Algorithm
egg-herbie
Counts
352 → 352
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051485703

prune334.0ms

Filtered
206 candidates to 352 candidates (-70.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3475352
Fresh437
Picked101
Done011
Total3529361

Merged error: 0b

Counts
361 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
29×times-frac
25×add-exp-log add-cbrt-cube
23×add-sqr-sqrt add-cube-cbrt
14×distribute-lft-out
13×associate-/r*
11×cbrt-undiv div-exp
7×associate-/l*
6×associate-/r/
4×prod-exp cbrt-unprod
3×pow1 frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l/ add-log-exp
1×frac-times associate-*r/ associate-*l/
Counts
3 → 102
Calls
3 calls:
6.0ms
(/ y (+ x y))
6.0ms
(/ x (+ x y))
18.0ms
(/ (* (/ x (+ x y)) (/ y (+ x y))) (+ x (+ y 1.0)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ y (+ x y))
6.0ms
(/ x (+ x y))
21.0ms
(/ (* (/ x (+ x y)) (/ y (+ x y))) (+ x (+ y 1.0)))

simplify36.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
049701227
149701227

prune94.0ms

Filtered
74 candidates to 111 candidates (-50.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1110111
Fresh077
Picked011
Done011
Total1119120

Merged error: 0b

Counts
120 → 9

regimes165.0ms

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
01417
11417

end0.0ms

sample535.0ms

Algorithm
intervals
Results
300.0ms8000×body80valid

Profiling

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