Details

Time bar (total: 8.5s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify18.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
099
1148
2188
3208
4228
5248
6258
done258

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (/ 841.0 108.0) x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*r*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
8.0ms
(* (/ 841.0 108.0) x)

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(* (/ 841.0 108.0) x)

simplify3.6s

Counts
37 → 37
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
070267
1156262
2446230
31277230
44000230
done5001230

prune77.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (/ (sqrt 841.0) (sqrt 108.0)) x)
0.3b
(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
80×associate-*l*
76×times-frac sqrt-prod
67×add-sqr-sqrt
53×add-cube-cbrt *-un-lft-identity
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
pow1
cbrt-undiv div-exp
unswap-sqr
associate-*r* pow-prod-down associate-*l/
expm1-log1p-u *-commutative log1p-expm1-u div-inv add-log-exp
frac-times associate-*r/
Counts
2 → 132
Calls
2 calls:
21.0ms
(* (/ (sqrt 841.0) (sqrt 108.0)) x)
36.0ms
(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

series258.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(* (/ (sqrt 841.0) (sqrt 108.0)) x)
164.0ms
(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

simplify1.2s

Counts
138 → 138
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01371830
13881732
215241432
done50001240

prune296.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sqrt 108.0) x)
0.2b
(/ 841.0 (/ (sqrt 108.0) x))
0.3b
(/ (/ 841.0 (/ (sqrt 108.0) x)) (sqrt 108.0))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
1422×times-frac
671×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
453×sqrt-prod
80×associate-/l*
35×div-inv
31×associate-/r*
19×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
associate-/r/
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
associate-/l/
Counts
3 → 671
Calls
3 calls:
3.0ms
(/ (sqrt 108.0) x)
7.0ms
(/ 841.0 (/ (sqrt 108.0) x))
28.0ms
(/ (/ 841.0 (/ (sqrt 108.0) x)) (sqrt 108.0))

series211.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (sqrt 108.0) x)
59.0ms
(/ 841.0 (/ (sqrt 108.0) x))
105.0ms
(/ (/ 841.0 (/ (sqrt 108.0) x)) (sqrt 108.0))

simplify1.2s

Counts
680 → 680
Iterations

Useful iterations: done (1.2s)

IterNodesCost
078014240
1185512497
done500012253

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes39.0ms

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
099
1119
done119

end0.0ms

sample258.0ms

Algorithm
intervals
Results
168.0ms8001×body80valid
0.0msbody1280valid
0.0msbody320valid
0.0msbody160valid