Details

Time bar (total: 16.1s)

sample88.0ms

Algorithm
intervals
Results
32.0ms105×body1280valid
15.0ms76×body640valid
13.0ms263×body80valid
6.0ms40×body320valid
2.0ms22×body160valid

simplify4.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1157
2277
3537
4927
51297
62377
75157
811037
917717
1020867
1122127
done22127

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:
4.0ms
(/ (sin y) y)
7.0ms
(* (cosh x) (/ (sin y) y))

series27.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (sin y) y)
23.0ms
(* (cosh x) (/ (sin y) y))

simplify2.8s

Counts
67 → 67
Iterations

Useful iterations: 2 (144.0ms)

IterNodesCost
0120663
1264632
2870568
34015568
done5001568

prune99.0ms

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))))

rewrite35.0ms

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:
4.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))
15.0ms
(* (cosh x) (/ 1 (/ y (sin y))))

series33.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ y (sin y))
5.0ms
(/ 1 (/ y (sin y)))
22.0ms
(* (cosh x) (/ 1 (/ y (sin y))))

simplify1.5s

Counts
187 → 187
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02592334
16181858
214601615
done50011581

prune150.0ms

Filtered
114 candidates to 187 candidates (-64.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1825187
Fresh628
Picked101
Done011
Total1898197

Merged error: 0.3b

Counts
197 → 8

localize12.0ms

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))))

rewrite101.0ms

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:
4.0ms
(/ 1 (sin y))
12.0ms
(/ (/ 1 y) (/ 1 (sin y)))
44.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))

series28.0ms

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))))

simplify1.5s

Counts
488 → 488
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
06248547
118475947
234975067
done50005067

prune339.0ms

Filtered
215 candidates to 488 candidates (-127.0%)
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))))

rewrite54.0ms

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
9×pow1 associate-/l*
6×cbrt-unprod
5×pow-flip
4×add-log-exp
3×frac-2neg clear-num inv-pow
2×associate-/r/
1×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)
26.0ms
(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))

series38.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 1 (sin y))
2.0ms
(/ 1 (/ 1 (sin y)))
13.0ms
(/ (cosh x) y)
18.0ms
(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))

simplify1.6s

Counts
272 → 272
Iterations

Useful iterations: 2 (830.0ms)

IterNodesCost
03453564
19732204
220272030
done50002030

prune158.0ms

Filtered
128 candidates to 272 candidates (-112.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2711272
Fresh055
Picked101
Done022
Total2728280

Merged error: 0.2b

Counts
280 → 8

regimes270.0ms

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

sample2.7s

Algorithm
intervals
Results
980.0ms3169×body1280valid
497.0ms2485×body640valid
440.0ms8583×body80valid
189.0ms1248×body320valid
60.0ms605×body160valid

Profiling

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