Details

Time bar (total: 2.3s)

analyze71.0ms

Algorithm
search

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0368
11528
25018
321538
450018

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 19.0b

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))
18.8b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite47.0ms

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))
17.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series34.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (+ x y) (+ x y))
9.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
22.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09161489
150011351

prune172.0ms

Filtered
88 candidates to 149 candidates (-69.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1436149
Fresh000
Picked101
Done000
Total1446150

Merged error: 6.6b

Counts
150 → 6

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)))
18.3b
(/ x (* (+ x y) (+ x y)))

rewrite53.0ms

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:
6.0ms
(/ y (+ (+ x y) 1.0))
8.0ms
(* (+ x y) (+ x y))
23.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
8.0ms
(/ x (* (+ x y) (+ x y)))

series37.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ y (+ (+ x y) 1.0))
3.0ms
(* (+ x y) (+ x y))
19.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
9.0ms
(/ x (* (+ x y) (+ x y)))

simplify99.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
06611282
135911138
250021127

prune182.0ms

Filtered
112 candidates to 182 candidates (-62.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1775182
Fresh415
Picked011
Done000
Total1817188

Merged error: 0.0b

Counts
188 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
313×*-un-lft-identity
303×times-frac
163×add-sqr-sqrt
142×add-cube-cbrt
89×distribute-lft-out
78×associate-*l*
34×add-exp-log add-cbrt-cube
28×associate-/r/
24×associate-/l*
21×associate-*r*
14×cbrt-undiv flip3-+ div-exp flip-+ div-inv
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 → 310
Calls
4 calls:
7.0ms
(/ y (+ (+ x y) 1.0))
5.0ms
(/ x (+ x y))
10.0ms
(/ (/ x (+ x y)) (+ x y))
43.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series45.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ y (+ (+ x y) 1.0))
5.0ms
(/ x (+ x y))
9.0ms
(/ (/ x (+ x y)) (+ x y))
24.0ms
(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify110.0ms

Algorithm
egg-herbie
Counts
322 → 322
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
09822745
145592543
250022535

prune259.0ms

Filtered
193 candidates to 322 candidates (-66.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3166322
Fresh325
Picked101
Done101
Total3218329

Merged error: 0b

Counts
329 → 8

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)))
0.2b
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

rewrite58.0ms

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))
21.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
19.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series42.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 1 (+ x y))
5.0ms
(/ x (+ x y))
14.0ms
(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
18.0ms
(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify103.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
07861627
145591357
250021330

prune149.0ms

Filtered
117 candidates to 211 candidates (-80.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2101211
Fresh167
Picked101
Done000
Total2127219

Merged error: 0b

Counts
219 → 7

regimes94.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128
1128

end0.0ms

analyze73.0ms

Algorithm
search

sample399.0ms

Algorithm
intervals
Results
275.0ms8000×body80valid

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