Details

Time bar (total: 9.2s)

sample98.0ms

Algorithm
intervals
Results
34.0ms105×body1280valid
20.0ms76×body640valid
14.0ms263×body80valid
6.0ms40×body320valid
2.0ms22×body160valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1157
2277
3537
4927
51317
62627
76537
816477
937147
done50007

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (sin y) y)
0.2b
(* (cosh x) (/ (sin y) y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
add-exp-log add-cbrt-cube
pow1
associate-*l* associate-/r* associate-/l*
cbrt-undiv cosh-def div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 61
Calls
2 calls:
4.0ms
(/ (sin y) y)
8.0ms
(* (cosh x) (/ (sin y) y))

series24.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (sin y) y)
20.0ms
(* (cosh x) (/ (sin y) y))

simplify1.2s

Counts
67 → 67
Iterations

Useful iterations: 3 (545.0ms)

IterNodesCost
0120663
1270638
21076580
34040568
done5000568

prune98.0ms

Filtered
51 candidates to 67 candidates (-31.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New58967
Fresh000
Picked011
Done000
Total581068

Merged error: 0.3b

Counts
68 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

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
cbrt-undiv prod-exp
pow1 associate-/l*
unswap-sqr
rec-exp 1-exp
associate-*l* cbrt-unprod add-log-exp
cosh-def frac-2neg clear-num associate-/r/
frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 178
Calls
3 calls:
4.0ms
(/ y (sin y))
12.0ms
(/ 1 (/ y (sin y)))
17.0ms
(* (cosh x) (/ 1 (/ y (sin y))))

series31.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))
20.0ms
(* (cosh x) (/ 1 (/ y (sin y))))

simplify907.0ms

Counts
187 → 187
Iterations

Useful iterations: done (897.0ms)

IterNodesCost
02592334
16312015
222101744
done50001621

prune166.0ms

Filtered
118 candidates to 187 candidates (-58.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1825187
Fresh628
Picked101
Done011
Total1898197

Merged error: 0.3b

Counts
197 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite113.0ms

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
pow1
cbrt-unprod
associate-*l* add-log-exp
cosh-def frac-2neg clear-num associate-/r/
frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/ inv-pow
Counts
3 → 479
Calls
3 calls:
4.0ms
(/ 1 (sin y))
13.0ms
(/ (/ 1 y) (/ 1 (sin y)))
52.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))

series29.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 1 (sin y))
4.0ms
(/ (/ 1 y) (/ 1 (sin y)))
19.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))

simplify617.0ms

Counts
488 → 488
Iterations

Useful iterations: done (601.0ms)

IterNodesCost
06248547
118626997
done50015626

prune381.0ms

Filtered
231 candidates to 488 candidates (-111.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New4880488
Fresh066
Picked011
Done011
Total4888496

Merged error: 0.3b

Counts
496 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (sin y))
0.2b
(/ 1 (/ 1 (sin y)))
0.2b
(/ (cosh x) y)
0.3b
(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
195×times-frac
149×add-sqr-sqrt
114×*-un-lft-identity
108×add-exp-log
104×add-cube-cbrt
58×div-exp
44×associate-*r*
34×add-cbrt-cube
26×prod-exp
22×rec-exp 1-exp
19×associate-/r*
14×cbrt-undiv unswap-sqr
13×associate-*l*
12×div-inv
pow1 associate-/l*
cbrt-unprod
pow-flip
add-log-exp
frac-2neg clear-num inv-pow
associate-/r/
frac-times cosh-def associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative associate-/l/ remove-double-div
Counts
4 → 260
Calls
4 calls:
4.0ms
(/ 1 (sin y))
7.0ms
(/ 1 (/ 1 (sin y)))
4.0ms
(/ (cosh x) y)
29.0ms
(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))

series41.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ 1 (sin y))
2.0ms
(/ 1 (/ 1 (sin y)))
15.0ms
(/ (cosh x) y)
20.0ms
(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))

simplify844.0ms

Counts
272 → 272
Iterations

Useful iterations: done (833.0ms)

IterNodesCost
03453564
19882767
232502092
done50002050

prune181.0ms

Filtered
136 candidates to 272 candidates (-100.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2711272
Fresh055
Picked101
Done022
Total2728280

Merged error: 0.2b

Counts
280 → 8

regimes286.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.0s3169×body1280valid
532.0ms2485×body640valid
468.0ms8583×body80valid
187.0ms1248×body320valid
63.0ms605×body160valid

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