Details

Time bar (total: 4.2s)

analyze352.0ms

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
25%68.7%6.3%6
43.7%46.8%9.5%7
43.7%42.1%14.1%8
46.8%36.7%16.5%9
46.8%34%19.2%10
48.4%31%20.6%11
48.4%29.6%22%12
49.2%28%22.8%13
49.2%27.3%23.5%14

sample67.0ms

Algorithm
intervals
Results
15.0ms46×body1280valid
11.0ms36×body1280invalid
8.0ms39×body640valid
8.0ms39×body640invalid
7.0ms147×body80valid
2.0ms17×body320valid
2.0ms13×body320invalid
1.0ms26×body80invalid
1.0ms12×body160invalid
1.0ms7×body160valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049887
149887

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

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 cosh-def div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 61
Calls
2 calls:
7.0ms
(* (cosh x) (/ (sin y) y))
4.0ms
(/ (sin y) y)

series25.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(* (cosh x) (/ (sin y) y))
4.0ms
(/ (sin y) y)

simplify49.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05777568

prune83.0ms

Filtered
53 candidates to 67 candidates (-26.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New60767
Fresh000
Picked101
Done000
Total61768

Merged error: 0.0b

Counts
68 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
103×add-sqr-sqrt
91×*-un-lft-identity
89×add-cube-cbrt
44×associate-*r*
35×add-exp-log
19×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×cosh-def 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
3 → 178
Calls
3 calls:
18.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series27.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
6.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))

simplify67.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049521761
149521761

prune163.0ms

Filtered
123 candidates to 187 candidates (-52.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1843187
Fresh426
Picked011
Done000
Total1886194

Merged error: 0b

Counts
194 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
0.1b
(/ 1 (sin y))
0.2b
(/ (/ 1 y) (/ 1 (sin y)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
854×times-frac
426×add-sqr-sqrt
397×*-un-lft-identity
391×add-cube-cbrt
174×associate-*r*
105×add-exp-log
66×div-exp
57×div-inv
35×add-cbrt-cube
17×cbrt-undiv rec-exp 1-exp prod-exp
16×associate-/r* associate-/l*
10×unswap-sqr
6×pow1
5×cbrt-unprod
3×associate-*l* add-log-exp
2×cosh-def frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/ inv-pow
Counts
3 → 479
Calls
3 calls:
44.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
4.0ms
(/ 1 (sin y))
15.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series25.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
4.0ms
(/ 1 (sin y))
4.0ms
(/ (/ 1 y) (/ 1 (sin y)))

simplify111.0ms

Algorithm
egg-herbie
Counts
488 → 488
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049715934
149715934

prune432.0ms

Filtered
257 candidates to 488 candidates (-89.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New4871488
Fresh134
Picked011
Done011
Total4886494

Merged error: 0b

Counts
494 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*l*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r* associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×cosh-def frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 60
Calls
2 calls:
3.0ms
(/ (cosh x) y)
6.0ms
(* (/ (cosh x) y) (sin y))

series33.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ (cosh x) y)
21.0ms
(* (/ (cosh x) y) (sin y))

simplify44.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04974559
14974559

prune52.0ms

Filtered
52 candidates to 66 candidates (-26.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New66066
Fresh033
Picked011
Done022
Total66672

Merged error: 0b

Counts
72 → 6

regimes135.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109
1109

end0.0ms

sample2.3s

Algorithm
intervals
Results
558.0ms1574×body1280valid
460.0ms1505×body1280invalid
262.0ms1288×body640valid
241.0ms1198×body640invalid
210.0ms4206×body80valid
93.0ms621×body320valid
86.0ms617×body320invalid
32.0ms324×body160invalid
31.0ms311×body160valid
27.0ms486×body80invalid

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