Details

Time bar (total: 8.5s)

sample94.0ms

Algorithm
intervals
Results
33.0ms105×body1280valid
19.0ms76×body640valid
14.0ms263×body80valid
6.0ms40×body320valid
2.0ms22×body160valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1157
2277
3537
4927
51317
62477
75427
814057
928657
1034867
1141057
1244027
1348717
done50007

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

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:
5.0ms
(/ (sin y) y)
8.0ms
(* (cosh x) (/ (sin y) y))

series24.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (sin y) y)
19.0ms
(* (cosh x) (/ (sin y) y))

simplify859.0ms

Counts
67 → 67
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0120663
1270632
2920568
34123568
done5001568

prune95.0ms

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 2 expressions with local error:

0.0b
(* (cosh x) (sin y))
0.5b
(* (* (cosh x) (sin y)) (/ 1 y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
16×associate-*r* add-cbrt-cube
13×add-sqr-sqrt prod-exp
11×add-cube-cbrt *-un-lft-identity
pow1 times-frac
cbrt-unprod
div-exp associate-*l* pow-prod-down associate-*l/
cosh-def
cbrt-undiv rec-exp 1-exp *-commutative add-log-exp
frac-times associate-*r/ un-div-inv div-inv unswap-sqr
Counts
2 → 59
Calls
2 calls:
5.0ms
(* (cosh x) (sin y))
9.0ms
(* (* (cosh x) (sin y)) (/ 1 y))

series38.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (cosh x) (sin y))
22.0ms
(* (* (cosh x) (sin y)) (/ 1 y))

simplify478.0ms

Counts
65 → 65
Iterations

Useful iterations: 2 (114.0ms)

IterNodesCost
0139753
1379649
21411521
done5000521

prune76.0ms

Filtered
40 candidates to 65 candidates (-62.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New64165
Fresh178
Picked011
Done011
Total651075

Merged error: 0.3b

Counts
75 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.4b
(cbrt (/ (sin y) y))
0.4b
(cbrt (/ (sin y) y))
0.4b
(cbrt (/ (sin y) y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
pow1/3 unswap-sqr
cbrt-div div-inv
add-exp-log
add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
14.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
3.0ms
(cbrt (/ (sin y) y))
3.0ms
(cbrt (/ (sin y) y))
3.0ms
(cbrt (/ (sin y) y))

series113.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
25.0ms
(cbrt (/ (sin y) y))
25.0ms
(cbrt (/ (sin y) y))
29.0ms
(cbrt (/ (sin y) y))

simplify545.0ms

Counts
156 → 156
Iterations

Useful iterations: 3 (242.0ms)

IterNodesCost
01682209
13042074
27981992
325051895
done50001895

prune192.0ms

Filtered
126 candidates to 156 candidates (-23.8%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1533156
Fresh167
Picked101
Done022
Total15511166

Merged error: 0.3b

Counts
166 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
18×pow1
14×pow1/3
12×swap-sqr associate-*r* associate-*l*
add-exp-log unswap-sqr
pow-prod-down pow-sqr pow-prod-up add-cbrt-cube add-log-exp
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
7.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
6.0ms
(* (cbrt y) (cbrt y))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series96.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
27.0ms
(* (cbrt y) (cbrt y))
20.0ms
(cbrt (sin y))
24.0ms
(cbrt (sin y))

simplify704.0ms

Counts
114 → 114
Iterations

Useful iterations: 3 (254.0ms)

IterNodesCost
01231031
1253908
2792761
32857663
done5000663

prune104.0ms

Filtered
72 candidates to 114 candidates (-58.3%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1140114
Fresh088
Picked011
Done022
Total11411125

Merged error: 0.3b

Counts
125 → 11

regimes342.0ms

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

sample2.8s

Algorithm
intervals
Results
995.0ms3169×body1280valid
518.0ms2485×body640valid
464.0ms8583×body80valid
180.0ms1248×body320valid
66.0ms605×body160valid

Profiling

Loading profile data...