Details

Time bar (total: 3.4s)

analyze340.0ms

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

sample62.0ms

Algorithm
intervals
Results
14.0ms46×body1280invalid
12.0ms195×body80valid
9.0ms45×body640invalid
4.0ms22×body640valid
4.0ms10×body1280valid
2.0ms18×body320invalid
2.0ms13×body320valid
2.0ms16×body160valid
1.0ms11×body160invalid
1.0ms13×body80invalid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (38.0ms)

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
pow1
associate-*l* associate-/r* associate-/l* add-log-exp
cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
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))

series44.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
15.0ms
(/ (sinh y) x)
22.0ms
(* (sin x) (/ (sinh y) x))

simplify58.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04929627
14929627

prune93.0ms

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

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
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
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))

series84.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt (sin x)) (cbrt (sin x)))
19.0ms
(cbrt (sin x))
19.0ms
(cbrt (sin x))
22.0ms
(cbrt (sin x))

simplify50.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04955490
14955490

prune85.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh066
Picked011
Done011
Total85893

Merged error: 0.0b

Counts
93 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.2b
(* (sin x) (/ 1 (/ x (sinh y))))
1.2b
(/ 1 (/ x (sinh y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
97×add-sqr-sqrt
85×*-un-lft-identity
83×add-cube-cbrt
47×associate-*r*
33×add-exp-log
17×add-cbrt-cube
14×div-exp associate-/r*
associate-/r/ div-inv
sinh-def
prod-exp
pow1 cbrt-undiv
unswap-sqr
rec-exp 1-exp
associate-*l* cbrt-unprod associate-/l* add-log-exp
pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 164
Calls
3 calls:
1.0ms
(sinh y)
15.0ms
(* (sin x) (/ 1 (/ x (sinh y))))
7.0ms
(/ 1 (/ x (sinh y)))

series48.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
23.0ms
(* (sin x) (/ 1 (/ x (sinh y))))
17.0ms
(/ 1 (/ x (sinh y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
051481680

prune159.0ms

Filtered
117 candidates to 173 candidates (-47.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1712173
Fresh325
Picked011
Done022
Total1747181

Merged error: 0b

Counts
181 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (/ (sin x) x) (sinh y))
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-*l*
10×add-exp-log add-cbrt-cube
pow1
sinh-def associate-*r* associate-/r* associate-/l* add-log-exp
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 69
Calls
3 calls:
1.0ms
(sinh y)
6.0ms
(* (/ (sin x) x) (sinh y))
4.0ms
(/ (sin x) x)

series32.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
20.0ms
(* (/ (sin x) x) (sinh y))
4.0ms
(/ (sin x) x)

simplify45.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04960622
14960622

prune64.0ms

Filtered
60 candidates to 78 candidates (-30.0%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New78078
Fresh033
Picked011
Done033
Total78785

Merged error: 0b

Counts
85 → 7

regimes210.0ms

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
077
177

end0.0ms

sample1.8s

Algorithm
intervals
Results
465.0ms1499×body1280invalid
292.0ms6075×body80valid
256.0ms1226×body640invalid
162.0ms752×body640valid
130.0ms353×body1280valid
88.0ms585×body320invalid
71.0ms497×body320valid
37.0ms558×body80invalid
33.0ms323×body160valid
29.0ms286×body160invalid

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