Details

Time bar (total: 4.9s)

analyze339.0ms

Algorithm
search

sample72.0ms

Algorithm
intervals
Results
17.0ms49×body1280valid
11.0ms36×body1280invalid
10.0ms48×body640valid
9.0ms33×body640invalid
7.0ms136×body80valid
2.0ms17×body320invalid
2.0ms12×body320valid
1.0ms25×body80invalid
1.0ms11×body160valid
1.0ms6×body160invalid

simplify85.0ms

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 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:
6.0ms
(* (cosh x) (/ (sin y) y))
3.0ms
(/ (sin y) y)

series21.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(* (cosh x) (/ (sin y) y))
4.0ms
(/ (sin y) y)

simplify34.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0264392
11058349
25002337

prune78.0ms

Filtered
50 candidates to 67 candidates (-34.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New60767
Fresh000
Picked011
Done000
Total60868

Merged error: 0.0b

Counts
68 → 8

localize7.0ms

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)))

rewrite31.0ms

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:
14.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series29.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
8.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06171319
129861147
250011024

prune138.0ms

Filtered
113 candidates to 187 candidates (-65.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1825187
Fresh516
Picked011
Done011
Total1878195

Merged error: 0b

Counts
195 → 8

localize9.0ms

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

series29.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ (cosh x) y)
17.0ms
(* (/ (cosh x) y) (sin y))

simplify31.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0283386
1969341
25001324

prune66.0ms

Filtered
49 candidates to 66 candidates (-34.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New66066
Fresh055
Picked011
Done022
Total66874

Merged error: 0b

Counts
74 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
0.3b
(cbrt (/ y (sin y)))
0.3b
(cbrt (/ y (sin y)))
0.3b
(cbrt (/ y (sin y)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
2636×times-frac
1404×cbrt-prod
1154×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
126×div-inv
53×associate-/l*
21×cbrt-div
18×associate-/r/
16×associate-/r*
13×add-exp-log
7×pow1
6×div-exp add-cbrt-cube
5×pow1/3
4×add-log-exp
3×cbrt-undiv pow-div
2×pow-flip
1×rec-exp frac-2neg 1-exp clear-num associate-/l/ inv-pow
Counts
4 → 1004
Calls
4 calls:
33.0ms
(/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
3.0ms
(cbrt (/ y (sin y)))
2.0ms
(cbrt (/ y (sin y)))
3.0ms
(cbrt (/ y (sin y)))

series119.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
30.0ms
(cbrt (/ y (sin y)))
26.0ms
(cbrt (/ y (sin y)))
26.0ms
(cbrt (/ y (sin y)))

simplify211.0ms

Algorithm
egg-herbie
Counts
1016 → 1016
Iterations

Useful iterations: 1 (51.0ms)

IterNodesCost
0361119483
1500118806

prune532.0ms

Filtered
388 candidates to 1016 candidates (-161.9%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New101601016
Fresh044
Picked011
Done033
Total101681024

Merged error: 0b

Counts
1024 → 8

regimes248.0ms

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
074
174

end0.0ms

analyze324.0ms

Algorithm
search

sample2.2s

Algorithm
intervals
Results
522.0ms1462×body1280valid
433.0ms1401×body1280invalid
267.0ms1266×body640valid
248.0ms1247×body640invalid
212.0ms4333×body80valid
95.0ms635×body320invalid
88.0ms630×body320valid
32.0ms519×body80invalid
30.0ms309×body160valid
29.0ms287×body160invalid

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