Details

Time bar (total: 2.1s)

analyze130.0ms

Algorithm
search

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms8×body80invalid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1275
2405
3475
4635
5755
61065
71125
81185
91225
101305
114025
1226055
1350015

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
7.8b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
4×pow1 times-frac associate-*r/ associate-*r* associate-/r*
3×flip3-+ associate-*l* flip-+ distribute-lft-out
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 50
Calls
2 calls:
9.0ms
(* x (+ (/ x y) 1.0))
12.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series11.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* x (+ (/ x y) 1.0))
7.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0296332
11504285
25001283

prune82.0ms

Filtered
38 candidates to 56 candidates (-47.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New50656
Fresh000
Picked101
Done000
Total51657

Merged error: 0b

Counts
57 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
2 → 146
Calls
2 calls:
16.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series15.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
8.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04941442
123441386
250011384

prune170.0ms

Filtered
95 candidates to 152 candidates (-60.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1520152
Fresh055
Picked011
Done000
Total1526158

Merged error: 0b

Counts
158 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (+ (/ x y) 1.0) (+ x 1.0))
0.2b
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
33×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt associate-*r*
18×distribute-lft-out
9×add-exp-log add-cbrt-cube
4×pow1 associate-/r* associate-/r/ associate-/l*
3×flip3-+ associate-*l* flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 81
Calls
2 calls:
13.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
15.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series12.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
7.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0328616
11518563
25001558

prune99.0ms

Filtered
55 candidates to 87 candidates (-58.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New87087
Fresh044
Picked011
Done011
Total87693

Merged error: 0b

Counts
93 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ (/ x y) 1.0))
0.2b
(cbrt (+ (/ x y) 1.0))
0.2b
(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
7.8b
(/ (* (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (cbrt (+ (/ x y) 1.0))) (+ x 1.0))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
38×*-un-lft-identity
36×flip3-+ flip-+
34×associate-*r/
32×cbrt-prod frac-times
26×associate-/l/
24×add-sqr-sqrt
20×add-exp-log
16×add-cube-cbrt associate-*l/
13×add-cbrt-cube
11×pow1
10×distribute-lft-out
9×swap-sqr
8×pow1/3
7×associate-*r* associate-*l* prod-exp cbrt-unprod
4×cbrt-undiv times-frac div-exp associate-/r* add-log-exp unswap-sqr
2×pow-prod-down associate-/r/ pow-sqr pow-prod-up
1×pow2 frac-2neg pow-plus clear-num *-commutative div-inv associate-/l*
Counts
4 → 136
Calls
4 calls:
6.0ms
(cbrt (+ (/ x y) 1.0))
6.0ms
(cbrt (+ (/ x y) 1.0))
18.0ms
(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
55.0ms
(/ (* (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (cbrt (+ (/ x y) 1.0))) (+ x 1.0))

series123.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(cbrt (+ (/ x y) 1.0))
38.0ms
(cbrt (+ (/ x y) 1.0))
43.0ms
(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
7.0ms
(/ (* (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (cbrt (+ (/ x y) 1.0))) (+ x 1.0))

simplify89.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
05311714
124591477
250011359

prune293.0ms

Filtered
107 candidates to 148 candidates (-38.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1480148
Fresh033
Picked011
Done022
Total1486154

Merged error: 0b

Counts
154 → 6

regimes90.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

analyze121.0ms

Algorithm
search

sample394.0ms

Algorithm
intervals
Results
257.0ms8000×body80valid
8.0ms256×body80invalid

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