Details

Time bar (total: 4.2s)

sample82.0ms

Algorithm
intervals
Results
32.0ms102×body1280valid
13.0ms67×body640valid
12.0ms268×body80valid
5.0ms37×body320valid
2.0ms24×body160valid

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1284
2564
3984
41434
53104
68774
717814
849894
950014

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 3 expressions with local error:

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

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×cosh-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:
6.0ms
(* (cosh x) (/ (sin y) y))
1.0ms
(cosh x)
4.0ms
(/ (sin y) y)

series31.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(* (cosh x) (/ (sin y) y))
6.0ms
(cosh x)
4.0ms
(/ (sin y) y)

simplify38.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0291432
11111386
25001364

prune83.0ms

Filtered
59 candidates to 78 candidates (-32.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New72678
Fresh000
Picked011
Done000
Total72779

Merged error: 0.0b

Counts
79 → 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))
0.1b
(/ 1 (/ y (sin y)))

rewrite35.0ms

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×cosh-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
(cosh x)
17.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series34.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cosh x)
17.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
6.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))

simplify82.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06441359
130411184
250021051

prune150.0ms

Filtered
123 candidates to 198 candidates (-61.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1953198
Fresh415
Picked011
Done011
Total1996205

Merged error: 0.0b

Counts
205 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
854×times-frac
427×add-sqr-sqrt
398×*-un-lft-identity
392×add-cube-cbrt
174×associate-*r*
106×add-exp-log
66×div-exp
57×div-inv
36×add-cbrt-cube
17×cbrt-undiv rec-exp 1-exp prod-exp
16×associate-/r* associate-/l*
10×unswap-sqr
7×pow1
5×cbrt-unprod
4×add-log-exp
3×cosh-def associate-*l*
2×frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/ inv-pow
Counts
4 → 487
Calls
4 calls:
1.0ms
(cosh x)
43.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
3.0ms
(/ 1 (sin y))
11.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series37.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cosh x)
17.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
4.0ms
(/ 1 (sin y))
10.0ms
(/ (/ 1 y) (/ 1 (sin y)))

simplify81.0ms

Algorithm
egg-herbie
Counts
499 → 499
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
018544754
150014118

prune453.0ms

Filtered
268 candidates to 499 candidates (-86.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New4981499
Fresh033
Picked101
Done022
Total4996505

Merged error: 0b

Counts
505 → 6

localize8.0ms

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))

rewrite15.0ms

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
9×times-frac
7×cbrt-unprod
4×cosh-def div-exp associate-*l* pow-prod-down associate-*l/
3×add-log-exp
2×cbrt-undiv rec-exp 1-exp *-commutative
1×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))
8.0ms
(* (* (cosh x) (sin y)) (/ 1 y))

series42.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
14.0ms
(* (cosh x) (sin y))
22.0ms
(* (* (cosh x) (sin y)) (/ 1 y))

simplify47.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0402468
11821384
25002351

prune57.0ms

Filtered
48 candidates to 76 candidates (-58.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh033
Picked011
Done022
Total76682

Merged error: 0b

Counts
82 → 6

regimes244.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.5s

Algorithm
intervals
Results
922.0ms2929×body1280valid
478.0ms2414×body640valid
388.0ms8508×body80valid
161.0ms1191×body320valid
62.0ms655×body160valid

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