Details

Time bar (total: 3.3s)

analyze332.0ms

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
25%74.9%0.1%5
43.7%56.2%0.1%6
43.7%46.8%9.5%7
46.8%42.1%11%8
46.8%36.7%16.5%9
48.4%34%17.7%10
48.4%31%20.6%11
49.2%29.6%21.3%12
49.2%28%22.8%13
49.6%27.3%23.1%14

sample63.0ms

Algorithm
intervals
Results
19.0ms61×body1280invalid
9.0ms192×body80valid
7.0ms37×body640invalid
6.0ms27×body640valid
4.0ms12×body1280valid
2.0ms16×body320valid
2.0ms16×body320invalid
1.0ms17×body80invalid
1.0ms9×body160valid
1.0ms8×body160invalid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049707
149707

prune13.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (sinh y) x)
0.2b
(* (sin x) (/ (sinh y) x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×sinh-def frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 60
Calls
2 calls:
3.0ms
(/ (sinh y) x)
7.0ms
(* (sin x) (/ (sinh y) x))

series34.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(/ (sinh y) x)
20.0ms
(* (sin x) (/ (sinh y) x))

simplify44.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05975566

prune83.0ms

Filtered
50 candidates to 66 candidates (-32.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New59766
Fresh011
Picked011
Done000
Total59968

Merged error: 0.0b

Counts
68 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series92.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt x) (cbrt x))
23.0ms
(cbrt x)
22.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify47.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05165356

prune88.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh077
Picked011
Done011
Total85994

Merged error: 0.0b

Counts
94 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (sin x)) (cbrt (sin x)))
0.7b
(cbrt (sin x))
0.7b
(cbrt (sin x))
0.7b
(cbrt (sin x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt (sin x)) (cbrt (sin x)))
1.0ms
(cbrt (sin x))
1.0ms
(cbrt (sin x))
1.0ms
(cbrt (sin x))

series78.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt (sin x)) (cbrt (sin x)))
18.0ms
(cbrt (sin x))
18.0ms
(cbrt (sin x))
18.0ms
(cbrt (sin x))

simplify51.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04955490
14955490

prune87.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh066
Picked101
Done022
Total85994

Merged error: 0b

Counts
94 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(cbrt (sinh y))
0.6b
(cbrt (sinh y))
0.6b
(cbrt (sinh y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×sinh-def cbrt-div
Counts
4 → 47
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (sinh y))
1.0ms
(cbrt (sinh y))
2.0ms
(cbrt (sinh y))

series108.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
27.0ms
(cbrt (sinh y))
28.0ms
(cbrt (sinh y))
29.0ms
(cbrt (sinh y))

simplify62.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05235338

prune55.0ms

Filtered
46 candidates to 59 candidates (-28.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New59059
Fresh066
Picked011
Done022
Total59968

Merged error: 0b

Counts
68 → 9

regimes233.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
177

end0.0ms

sample1.7s

Algorithm
intervals
Results
417.0ms1361×body1280invalid
283.0ms6134×body80valid
236.0ms1194×body640invalid
156.0ms728×body640valid
129.0ms364×body1280valid
80.0ms577×body320invalid
67.0ms483×body320valid
38.0ms607×body80invalid
31.0ms288×body160invalid
28.0ms291×body160valid

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