Details

Time bar (total: 4.4s)

analyze342.0ms

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

sample72.0ms

Algorithm
intervals
Results
18.0ms52×body1280valid
15.0ms50×body1280invalid
7.0ms151×body80valid
6.0ms32×body640invalid
6.0ms31×body640valid
2.0ms16×body320valid
2.0ms11×body320invalid
1.0ms16×body80invalid
1.0ms8×body160invalid
1.0ms6×body160valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (74.0ms)

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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)

series27.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(* (cosh x) (/ (sin y) y))
4.0ms
(/ (sin y) y)

simplify51.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05777568

prune93.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New58967
Fresh000
Picked101
Done000
Total59968

Merged error: 0.0b

Counts
68 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×pow1
3×times-frac associate-*r* associate-*l* associate-/r*
2×cbrt-undiv cosh-def associate-*r/ div-exp prod-exp cbrt-unprod add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
2 → 41
Calls
2 calls:
4.0ms
(* (sin y) (cosh x))
5.0ms
(/ (* (sin y) (cosh x)) y)

series34.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(* (sin y) (cosh x))
19.0ms
(/ (* (sin y) (cosh x)) y)

simplify43.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04957356
14957356

prune63.0ms

Filtered
34 candidates to 47 candidates (-38.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New46147
Fresh178
Picked011
Done000
Total47956

Merged error: 0.0b

Counts
56 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

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:
29.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
10.0ms
(/ 1 (/ y (sin y)))
6.0ms
(/ y (sin y))

series35.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
7.0ms
(/ 1 (/ y (sin y)))
10.0ms
(/ y (sin y))

simplify67.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049521761
149521761

prune181.0ms

Filtered
124 candidates to 187 candidates (-50.8%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1843187
Fresh257
Picked011
Done011
Total18610196

Merged error: 0b

Counts
196 → 10

localize8.0ms

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)))

rewrite93.0ms

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:
39.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
3.0ms
(/ 1 (sin y))
13.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series34.0ms

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

simplify151.0ms

Algorithm
egg-herbie
Counts
488 → 488
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
049715934
149715934

prune471.0ms

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

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New4862488
Fresh347
Picked011
Done022
Total4899498

Merged error: 0b

Counts
498 → 9

regimes200.0ms

Accuracy

0% (0.1b 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
077
177

end0.0ms

sample2.3s

Algorithm
intervals
Results
566.0ms1546×body1280valid
444.0ms1436×body1280invalid
248.0ms1193×body640valid
240.0ms1182×body640invalid
224.0ms4355×body80valid
92.0ms619×body320valid
85.0ms568×body320invalid
34.0ms528×body80invalid
32.0ms287×body160valid
31.0ms312×body160invalid

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