Details

Time bar (total: 3.7s)

analyze351.0ms

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

sample56.0ms

Algorithm
intervals
Results
13.0ms45×body1280invalid
9.0ms200×body80valid
8.0ms43×body640invalid
4.0ms22×body640valid
4.0ms11×body1280valid
2.0ms17×body320valid
2.0ms13×body320invalid
1.0ms22×body80invalid
1.0ms6×body160valid
0.0ms5×body160invalid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
07567
17567

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sinh y) x)
0.0b
(sinh y)
0.6b
(* (sin x) (/ (sinh y) x))

rewrite16.0ms

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:
4.0ms
(/ (sinh y) x)
1.0ms
(sinh y)
10.0ms
(* (sin x) (/ (sinh y) x))

series39.0ms

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

simplify69.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04939627
14939627

prune89.0ms

Filtered
62 candidates to 77 candidates (-24.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New72577
Fresh011
Picked011
Done000
Total72779

Merged error: 0.0b

Counts
79 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (sinh y))
0.0b
(sinh y)
0.6b
(* (sin x) (/ 1 (/ x (sinh y))))
0.8b
(/ 1 (/ x (sinh y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
106×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
47×associate-*r*
36×add-exp-log
20×add-cbrt-cube
17×associate-/r*
15×div-exp
10×associate-/r/ div-inv
9×sinh-def
7×pow1 cbrt-undiv prod-exp
6×associate-/l*
5×unswap-sqr
4×rec-exp 1-exp add-log-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 192
Calls
4 calls:
3.0ms
(/ x (sinh y))
1.0ms
(sinh y)
15.0ms
(* (sin x) (/ 1 (/ x (sinh y))))
6.0ms
(/ 1 (/ x (sinh y)))

series68.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ x (sinh y))
8.0ms
(sinh y)
22.0ms
(* (sin x) (/ 1 (/ x (sinh y))))
16.0ms
(/ 1 (/ x (sinh y)))

simplify62.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049921908
149921908

prune175.0ms

Filtered
144 candidates to 204 candidates (-41.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2022204
Fresh325
Picked011
Done101
Total2065211

Merged error: 0.0b

Counts
211 → 5

localize6.0ms

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
5×pow1
3×sinh-def associate-*r* 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)
6.0ms
(* (/ (sin x) x) (sinh y))
4.0ms
(/ (sin x) x)

series32.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(sinh y)
18.0ms
(* (/ (sin x) x) (sinh y))
6.0ms
(/ (sin x) x)

simplify49.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04935622
14935622

prune74.0ms

Filtered
63 candidates to 78 candidates (-23.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New77178
Fresh033
Picked011
Done011
Total77683

Merged error: 0b

Counts
83 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sinh y))
0.0b
(sinh y)
1.1b
(/ (sin x) (/ x (sinh y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/r*
10×add-exp-log add-cbrt-cube
6×sinh-def associate-/r/ div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 add-log-exp
2×frac-2neg clear-num
Counts
3 → 110
Calls
3 calls:
3.0ms
(/ x (sinh y))
1.0ms
(sinh y)
6.0ms
(/ (sin x) (/ x (sinh y)))

series50.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(/ x (sinh y))
7.0ms
(sinh y)
21.0ms
(/ (sin x) (/ x (sinh y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049371371
149371371

prune93.0ms

Filtered
100 candidates to 119 candidates (-19.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1181119
Fresh213
Picked101
Done022
Total1214125

Merged error: 0b

Counts
125 → 4

regimes121.0ms

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

analyze330.0ms

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

sample1.8s

Algorithm
intervals
Results
454.0ms1449×body1280invalid
287.0ms6085×body80valid
254.0ms1235×body640invalid
158.0ms729×body640valid
144.0ms393×body1280valid
85.0ms594×body320invalid
75.0ms478×body320valid
34.0ms578×body80invalid
32.0ms315×body160valid
30.0ms291×body160invalid

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