Details

Time bar (total: 4.3s)

sample75.0ms

Algorithm
intervals
Results
25.0ms81×body1280valid
14.0ms72×body640valid
12.0ms261×body80valid
4.0ms26×body320valid
3.0ms30×body160valid

simplify89.0ms

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

Filtered
1 candidates to 0 candidates (100.0%)
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)

rewrite16.0ms

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:
10.0ms
(* (cosh x) (/ (sin y) y))
4.0ms
(/ (sin y) y)

series21.0ms

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

simplify37.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0264392
11058349
25002337

prune74.0ms

Filtered
67 candidates to 50 candidates (25.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New61667
Fresh000
Picked011
Done000
Total61768

Merged error: 0.0b

Counts
68 → 7

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)))

rewrite33.0ms

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:
16.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series28.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
6.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))

simplify78.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06171319
129861147
250011024

prune136.0ms

Filtered
187 candidates to 115 candidates (38.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1843187
Fresh325
Picked011
Done011
Total1877194

Merged error: 0.0b

Counts
194 → 7

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)))

rewrite88.0ms

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:
43.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
3.0ms
(/ 1 (sin y))
11.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
4.0ms
(/ 1 (sin y))
4.0ms
(/ (/ 1 y) (/ 1 (sin y)))

simplify82.0ms

Algorithm
egg-herbie
Counts
488 → 488
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
018274714
150014081

prune457.0ms

Filtered
488 candidates to 258 candidates (47.1%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New4871488
Fresh044
Picked011
Done022
Total4878495

Merged error: 0b

Counts
495 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series78.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
20.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))

simplify39.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
0108276
1256257
2874229
35001192

prune51.0ms

Filtered
56 candidates to 44 candidates (21.4%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New56056
Fresh044
Picked011
Done033
Total56864

Merged error: 0b

Counts
64 → 8

regimes254.0ms

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

sample2.6s

Algorithm
intervals
Results
970.0ms2990×body1280valid
509.0ms2549×body640valid
407.0ms8529×body80valid
184.0ms1279×body320valid
64.0ms657×body160valid

Profiling

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