Details

Time bar (total: 6.3s)

sample61.0ms

Algorithm
intervals
Results
27.0ms761×body80valid

simplify604.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1188
2408
3998
42158
53848
67098
720688
done50008

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.5b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
8.1b
(/ (* (cosh x) (/ y x)) z)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
cbrt-undiv div-exp
pow1 cosh-def prod-exp cbrt-unprod
associate-*l* associate-/r* associate-/l/
frac-times associate-*r/ associate-*l/ div-inv add-log-exp unswap-sqr
frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 60
Calls
2 calls:
8.0ms
(* (cosh x) (/ y x))
7.0ms
(/ (* (cosh x) (/ y x)) z)

series58.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* (cosh x) (/ y x))
40.0ms
(/ (* (cosh x) (/ y x)) z)

simplify488.0ms

Counts
66 → 66
Iterations

Useful iterations: done (486.0ms)

IterNodesCost
0137707
1345679
21461589
done5001570

prune101.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New561066
Fresh000
Picked101
Done000
Total571067

Merged error: 0.0b

Counts
67 → 10

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y (* x z)))
6.6b
(/ y (* x z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity associate-*r*
times-frac
prod-exp cbrt-unprod
pow1 cbrt-undiv div-exp
associate-*l* associate-/l*
cosh-def div-inv add-log-exp
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 50
Calls
2 calls:
8.0ms
(* (cosh x) (/ y (* x z)))
5.0ms
(/ y (* x z))

series36.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (cosh x) (/ y (* x z)))
6.0ms
(/ y (* x z))

simplify766.0ms

Counts
56 → 56
Iterations

Useful iterations: done (764.0ms)

IterNodesCost
0103571
1253558
21066474
done5000459

prune73.0ms

Filtered
38 candidates to 56 candidates (-47.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New52456
Fresh639
Picked011
Done000
Total58866

Merged error: 0b

Counts
66 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (* (/ 1 x) (/ y z)))
6.0b
(* (/ 1 x) (/ y z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
34×add-sqr-sqrt
32×add-cbrt-cube
25×times-frac prod-exp
19×*-un-lft-identity
17×add-cube-cbrt
16×div-exp associate-*l*
14×associate-*r*
13×cbrt-unprod
pow1
cbrt-undiv
frac-times associate-*r/ unswap-sqr
rec-exp cosh-def 1-exp pow-prod-down associate-*l/
*-commutative div-inv add-log-exp
Counts
2 → 91
Calls
2 calls:
10.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
18.0ms
(* (/ 1 x) (/ y z))

series36.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
5.0ms
(* (/ 1 x) (/ y z))

simplify871.0ms

Counts
97 → 97
Iterations

Useful iterations: done (869.0ms)

IterNodesCost
01801208
15211050
21874830
done5000782

prune100.0ms

Filtered
59 candidates to 97 candidates (-64.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New96197
Fresh156
Picked011
Done011
Total978105

Merged error: 0b

Counts
105 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ (/ y z) x))
5.9b
(/ (/ y z) x)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
89×add-sqr-sqrt
80×add-cube-cbrt *-un-lft-identity
43×associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-/l*
div-inv
cbrt-undiv div-exp
pow1
associate-*l* prod-exp associate-/r* cbrt-unprod unswap-sqr
cosh-def add-log-exp
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 137
Calls
2 calls:
17.0ms
(* (cosh x) (/ (/ y z) x))
7.0ms
(/ (/ y z) x)

series34.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (cosh x) (/ (/ y z) x))
5.0ms
(/ (/ y z) x)

simplify591.0ms

Counts
143 → 143
Iterations

Useful iterations: done (580.0ms)

IterNodesCost
02431751
16161650
226131552
done50011542

prune122.0ms

Filtered
120 candidates to 143 candidates (-19.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1430143
Fresh055
Picked011
Done022
Total1438151

Merged error: 0b

Counts
151 → 8

regimes316.0ms

Accuracy

94.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 7.1b

bsearch87.0ms

Steps
ItersRangePoint
9
6.070411934313297e-21
5.691295351696058e-12
7.221163952708297e-16
8
-5.209263701539587e-29
-3.162113203266843e-33
-1.1115719021710903e-29

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02136
12936
done2936

end0.0ms

sample1.8s

Algorithm
intervals
Results
836.0ms22654×body80valid

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