Details

Time bar (total: 3.4s)

sample17.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify48.0ms

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: 19.7b

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))
19.5b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite53.0ms

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))
16.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series227.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(* (+ x y) (+ x y))
41.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
171.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
09161489
150011351

prune275.0ms

Filtered
149 candidates to 88 candidates (59.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1427149
Fresh000
Picked101
Done000
Total1437150

Merged error: 6.0b

Counts
150 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ (+ x y) 1.0))
0.0b
(* (+ x y) (+ x y))
0.1b
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
18.9b
(/ x (* (+ x y) (+ x y)))

rewrite55.0ms

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:
7.0ms
(/ y (+ (+ x y) 1.0))
8.0ms
(* (+ x y) (+ x y))
24.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
9.0ms
(/ x (* (+ x y) (+ x y)))

series287.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ y (+ (+ x y) 1.0))
15.0ms
(* (+ x y) (+ x y))
159.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
65.0ms
(/ x (* (+ x y) (+ x y)))

simplify95.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
06611282
135911138
250021127

prune254.0ms

Filtered
182 candidates to 112 candidates (61.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1775182
Fresh426
Picked101
Done000
Total1827189

Merged error: 0.0b

Counts
189 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
92×*-un-lft-identity
70×times-frac
64×add-sqr-sqrt
61×add-cbrt-cube
47×add-cube-cbrt
42×prod-exp
39×associate-*r*
36×div-exp
23×distribute-lft-out
22×cbrt-unprod
19×cbrt-undiv associate-*l*
12×pow1
10×associate-/r/
8×associate-/r*
7×rec-exp 1-exp
6×frac-times associate-*l/ associate-/l* unswap-sqr
5×flip3-+ flip-+ div-inv
4×associate-*r/ pow-prod-down add-log-exp
2×frac-2neg clear-num *-commutative
1×pow-flip inv-pow
Counts
4 → 203
Calls
4 calls:
5.0ms
(/ x (+ x y))
5.0ms
(/ 1 (+ x y))
18.0ms
(* (/ 1 (+ x y)) (/ x (+ x y)))
25.0ms
(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

series309.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ x (+ x y))
34.0ms
(/ 1 (+ x y))
68.0ms
(* (/ 1 (+ x y)) (/ x (+ x y)))
164.0ms
(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

simplify115.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
08071560
145321278
250031252

prune242.0ms

Filtered
215 candidates to 114 candidates (53.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2123215
Fresh336
Picked011
Done000
Total2157222

Merged error: 0.0b

Counts
222 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

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-*l*
18×associate-*r*
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:
8.0ms
(/ y (+ (+ x y) 1.0))
5.0ms
(/ x (+ x y))
20.0ms
(* (/ y (+ (+ x y) 1.0)) (/ x (+ x y)))
17.0ms
(/ (* (/ y (+ (+ x y) 1.0)) (/ x (+ x y))) (+ x y))

series383.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ y (+ (+ x y) 1.0))
42.0ms
(/ x (+ x y))
122.0ms
(* (/ y (+ (+ x y) 1.0)) (/ x (+ x y)))
173.0ms
(/ (* (/ y (+ (+ x y) 1.0)) (/ x (+ x y))) (+ x y))

simplify82.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06351297
134371135
250011135

prune236.0ms

Filtered
179 candidates to 118 candidates (65.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1772179
Fresh235
Picked011
Done011
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

sample432.0ms

Algorithm
intervals
Results
299.0ms8000×body80valid

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