Details

Time bar (total: 4.7s)

sample81.0ms

Algorithm
intervals
Results
34.0ms95×body1280valid
15.0ms76×body640valid
11.0ms246×body80valid
5.0ms33×body320valid
2.0ms20×body160valid

simplify98.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1284
2564
3984
41434
53104
68774
717814
849894
950014

prune2.0ms

Filtered
1 candidates to 0 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 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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
cosh-def associate-*l* 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:
7.0ms
(* (cosh x) (/ (sin y) y))
1.0ms
(cosh x)
4.0ms
(/ (sin y) y)

series163.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(* (cosh x) (/ (sin y) y))
53.0ms
(cosh x)
28.0ms
(/ (sin y) y)

simplify40.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0291432
11111386
25001364

prune166.0ms

Filtered
78 candidates to 59 candidates (75.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New71778
Fresh000
Picked101
Done000
Total72779

Merged error: 0.0b

Counts
79 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
24×pow1
20×add-exp-log add-cbrt-cube
19×times-frac associate-*r*
18×sqrt-prod
13×cosh-def
12×sqrt-div
sqrt-pow1 pow1/2 swap-sqr
associate-*l* prod-exp cbrt-unprod
frac-times pow-prod-down associate-*l/ unswap-sqr
pow-prod-up
associate-*r/ add-log-exp
cbrt-undiv div-exp associate-/r* pow-sqr associate-/l*
*-commutative div-inv
pow2 frac-2neg pow-plus sqrt-unprod clear-num rem-square-sqrt
Counts
4 → 128
Calls
4 calls:
1.0ms
(cosh x)
18.0ms
(* (* (sqrt (cosh x)) (sqrt (cosh x))) (/ (sin y) y))
7.0ms
(* (sqrt (cosh x)) (sqrt (cosh x)))
4.0ms
(/ (sin y) y)

series210.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(cosh x)
83.0ms
(* (* (sqrt (cosh x)) (sqrt (cosh x))) (/ (sin y) y))
48.0ms
(* (sqrt (cosh x)) (sqrt (cosh x)))
28.0ms
(/ (sin y) y)

simplify93.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
0438746
12282629
25001623

prune247.0ms

Filtered
140 candidates to 86 candidates (61.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1391140
Fresh066
Picked011
Done000
Total1398147

Merged error: 0.0b

Counts
147 → 8

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (sin y))
0.3b
(* (* (cosh x) (sin y)) (/ 1 y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
17×add-cbrt-cube
16×associate-*r*
14×add-sqr-sqrt
13×prod-exp
12×add-cube-cbrt *-un-lft-identity
10×pow1
times-frac
cbrt-unprod
cosh-def div-exp associate-*l* pow-prod-down associate-*l/
add-log-exp
cbrt-undiv rec-exp 1-exp *-commutative
frac-times associate-*r/ un-div-inv div-inv unswap-sqr
Counts
3 → 67
Calls
3 calls:
1.0ms
(cosh x)
4.0ms
(* (cosh x) (sin y))
9.0ms
(* (* (cosh x) (sin y)) (/ 1 y))

series204.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(cosh x)
70.0ms
(* (cosh x) (sin y))
84.0ms
(* (* (cosh x) (sin y)) (/ 1 y))

simplify53.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0402468
11821384
25002351

prune134.0ms

Filtered
76 candidates to 49 candidates (64.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New75176
Fresh156
Picked101
Done011
Total77784

Merged error: 0b

Counts
84 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.3b
(/ 1 (/ y (sin y)))

rewrite34.0ms

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
pow1 cbrt-undiv prod-exp
associate-/l*
unswap-sqr
rec-exp 1-exp add-log-exp
cosh-def associate-*l* cbrt-unprod
frac-2neg clear-num associate-/r/
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
(cosh x)
15.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series180.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(cosh x)
80.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
22.0ms
(/ y (sin y))
32.0ms
(/ 1 (/ y (sin y)))

simplify90.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06441359
130411184
250021051

prune308.0ms

Filtered
198 candidates to 125 candidates (63.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1980198
Fresh055
Picked011
Done011
Total1987205

Merged error: 0b

Counts
205 → 7

regimes112.0ms

Accuracy

0% (0.1b 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
098
198

end0.0ms

sample2.4s

Algorithm
intervals
Results
976.0ms3036×body1280valid
489.0ms2453×body640valid
396.0ms8531×body80valid
174.0ms1219×body320valid
60.0ms620×body160valid

Profiling

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