Details

Time bar (total: 3.4s)

analyze365.0ms

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

sample59.0ms

Algorithm
intervals
Results
14.0ms48×body1280invalid
9.0ms191×body80valid
7.0ms34×body640invalid
6.0ms29×body640valid
5.0ms14×body1280valid
2.0ms17×body320invalid
2.0ms13×body320valid
1.0ms14×body160invalid
1.0ms17×body80invalid
1.0ms9×body160valid

simplify37.0ms

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 3 expressions with local error:

0.0b
(/ (sinh y) x)
0.0b
(sinh y)
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:
3.0ms
(/ (sinh y) x)
1.0ms
(sinh y)
7.0ms
(* (sin x) (/ (sinh y) x))

series41.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ (sinh y) x)
7.0ms
(sinh y)
19.0ms
(* (sin x) (/ (sinh y) x))

simplify53.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04929627
14929627

prune106.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New68977
Fresh011
Picked101
Done000
Total691079

Merged error: 0.0b

Counts
79 → 10

localize9.0ms

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))

rewrite19.0ms

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)))
7.0ms
(* (sinh y) (/ 1 x))

series44.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
20.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
16.0ms
(* (sinh y) (/ 1 x))

simplify44.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04971545
14971545

prune90.0ms

Filtered
55 candidates to 81 candidates (-47.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New80181
Fresh369
Picked011
Done000
Total83891

Merged error: 0.0b

Counts
91 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(* (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:
7.0ms
(sinh y)
17.0ms
(* (sinh y) (/ (sin x) x))
4.0ms
(/ (sin x) x)

simplify43.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04952629
14952629

prune84.0ms

Filtered
61 candidates to 78 candidates (-27.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New76278
Fresh246
Picked101
Done011
Total79786

Merged error: 0b

Counts
86 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(* (sinh y) (/ 1 (/ x (sin x))))
0.1b
(/ x (sin x))
0.1b
(/ 1 (/ x (sin x)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
104×add-sqr-sqrt
92×*-un-lft-identity
90×add-cube-cbrt
44×associate-*r*
36×add-exp-log
20×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×pow1 cbrt-undiv prod-exp
6×associate-/l*
5×unswap-sqr
4×rec-exp 1-exp add-log-exp
3×sinh-def associate-*l* cbrt-unprod
2×frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
4 → 186
Calls
4 calls:
1.0ms
(sinh y)
15.0ms
(* (sinh y) (/ 1 (/ x (sin x))))
3.0ms
(/ x (sin x))
6.0ms
(/ 1 (/ x (sin x)))

series35.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sinh y)
18.0ms
(* (sinh y) (/ 1 (/ x (sin x))))
6.0ms
(/ x (sin x))
4.0ms
(/ 1 (/ x (sin x)))

simplify66.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050101810

prune163.0ms

Filtered
135 candidates to 198 candidates (-46.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1962198
Fresh235
Picked101
Done011
Total1996205

Merged error: 0b

Counts
205 → 6

regimes200.0ms

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
01211
11211

end0.0ms

sample1.8s

Algorithm
intervals
Results
441.0ms1481×body1280invalid
281.0ms6072×body80valid
253.0ms1281×body640invalid
156.0ms754×body640valid
137.0ms380×body1280valid
87.0ms581×body320invalid
69.0ms504×body320valid
32.0ms571×body80invalid
29.0ms300×body160invalid
28.0ms290×body160valid

Profiling

Loading profile data...