Details

Time bar (total: 2.1s)

analyze118.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
12.5%87.4%0.1%5
31.2%68.7%0.1%6
46.8%53.1%0.1%7
60.9%39%0.1%8
67.9%31.2%0.9%9
74.5%22.2%3.2%10
77.9%17.2%5%11
81.1%11.8%7.1%12
82.7%9%8.3%13
84.3%6.1%9.7%14

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms15×body80invalid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
0510811

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: 0.1b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:
10.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
15.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series13.0ms

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)))

simplify63.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049531112
149531112

prune111.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New83487
Fresh011
Picked011
Done000
Total83689

Merged error: 0.0b

Counts
89 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))) (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))))
0.3b
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
0.3b
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
0.3b
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
279×*-un-lft-identity
206×cbrt-prod
158×times-frac
103×add-sqr-sqrt
88×distribute-lft-out
79×add-cube-cbrt
45×swap-sqr
25×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 218
Calls
4 calls:
37.0ms
(* (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))) (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))))
9.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
9.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
9.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))

series96.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))) (cbrt (/ (+ (/ x y) 1.0) (+ x 1.0))))
21.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
27.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))
22.0ms
(cbrt (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify73.0ms

Algorithm
egg-herbie
Counts
230 → 230
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
048504741
148504741

prune473.0ms

Filtered
134 candidates to 230 candidates (-71.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2291230
Fresh044
Picked101
Done011
Total2306236

Merged error: 0.0b

Counts
236 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
9.0b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite22.0ms

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))

simplify47.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04968591
14968591

prune67.0ms

Filtered
36 candidates to 56 candidates (-55.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New54256
Fresh314
Picked011
Done011
Total57562

Merged error: 0.0b

Counts
62 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:
14.0ms
(/ 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: 0 (50.0ms)

IterNodesCost
049982646
149982646

prune158.0ms

Filtered
98 candidates to 152 candidates (-55.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1520152
Fresh022
Picked011
Done022
Total1525157

Merged error: 0.0b

Counts
157 → 5

regimes127.0ms

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
01111
11111

end0.0ms

sample388.0ms

Algorithm
intervals
Results
254.0ms8000×body80valid
9.0ms287×body80invalid

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