Details

Time bar (total: 3.4s)

analyze338.0ms

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

sample64.0ms

Algorithm
intervals
Results
13.0ms59×body640invalid
13.0ms46×body1280invalid
7.0ms180×body80valid
6.0ms30×body640valid
3.0ms25×body320invalid
3.0ms26×body320valid
3.0ms10×body1280valid
1.0ms20×body80invalid
1.0ms10×body160valid
1.0ms6×body160invalid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049707
149707

prune10.0ms

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 3 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1
3×associate-*l* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 68
Calls
3 calls:
1.0ms
(sinh y)
3.0ms
(/ (sinh y) x)
7.0ms
(* (sin x) (/ (sinh y) x))

series43.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(sinh y)
16.0ms
(/ (sinh y) x)
19.0ms
(* (sin x) (/ (sinh y) x))

simplify51.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04929627
14929627

prune89.0ms

Filtered
60 candidates to 77 candidates (-28.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New71677
Fresh011
Picked011
Done000
Total71879

Merged error: 0.0b

Counts
79 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.2b
(* (sin x) (* (sinh y) (/ 1 x)))
0.2b
(* (sinh y) (/ 1 x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
19×add-sqr-sqrt
17×add-cbrt-cube
14×associate-*r*
13×*-un-lft-identity prod-exp
12×add-cube-cbrt
11×times-frac
10×pow1
7×cbrt-unprod
6×associate-*r/ associate-*l*
5×sinh-def
4×div-exp pow-prod-down
3×add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ un-div-inv *-commutative
1×div-inv
Counts
3 → 72
Calls
3 calls:
1.0ms
(sinh y)
8.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
9.0ms
(* (sinh y) (/ 1 x))

series40.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(sinh y)
19.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
13.0ms
(* (sinh y) (/ 1 x))

simplify42.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04971545
14971545

prune86.0ms

Filtered
53 candidates to 81 candidates (-52.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New79281
Fresh246
Picked101
Done011
Total82789

Merged error: 0b

Counts
89 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sinh y) (/ (sin x) x))
0.1b
(/ (sin x) x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1
3×sinh-def associate-*l* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 69
Calls
3 calls:
1.0ms
(sinh y)
7.0ms
(* (sinh y) (/ (sin x) x))
4.0ms
(/ (sin x) x)

series29.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
18.0ms
(* (sinh y) (/ (sin x) x))
4.0ms
(/ (sin x) x)

simplify47.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04952629
14952629

prune84.0ms

Filtered
62 candidates to 78 candidates (-25.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh055
Picked011
Done011
Total78785

Merged error: 0b

Counts
85 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin x)) (cbrt (sin x)))
0.6b
(cbrt (sin x))
0.6b
(cbrt (sin x))
0.6b
(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))
2.0ms
(cbrt (sin x))

series79.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (cbrt (sin x)) (cbrt (sin x)))
20.0ms
(cbrt (sin x))
18.0ms
(cbrt (sin x))
18.0ms
(cbrt (sin x))

simplify52.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04955490
14955490

prune68.0ms

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

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done022
Total85792

Merged error: 0b

Counts
92 → 7

regimes208.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
177

end0.0ms

sample1.9s

Algorithm
intervals
Results
626.0ms1525×body1280invalid
279.0ms6054×body80valid
239.0ms1239×body640invalid
159.0ms765×body640valid
124.0ms365×body1280valid
87.0ms655×body320invalid
77.0ms555×body320valid
32.0ms591×body80invalid
29.0ms304×body160invalid
24.0ms261×body160valid

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