Details

Time bar (total: 5.9s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1139
2169
3189
4209
5219
done219

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (/ 841.0 108.0) x)

rewrite9.0ms

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 div-exp pow-prod-down associate-*l/ *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
8.0ms
(* (/ 841.0 108.0) x)

series14.0ms

Counts
1 → 3
Calls
1 calls:
14.0ms
(* (/ 841.0 108.0) x)

simplify2.9s

Counts
35 → 35
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
068255
1156250
2502218
31702218
44793218
done5000218

prune64.0ms

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
32×associate-*l*
28×sqrt-prod
26×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
pow1 add-exp-log add-cbrt-cube
sqrt-div
associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
unswap-sqr
*-commutative div-inv add-log-exp
frac-times associate-*r/
Counts
2 → 68
Calls
2 calls:
11.0ms
(* (sqrt (/ 841.0 108.0)) x)
23.0ms
(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

series111.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* (sqrt (/ 841.0 108.0)) x)
70.0ms
(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

simplify1.4s

Counts
74 → 74
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0103793
1222639
2648572
32572572
done5000572

prune166.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
19×sqrt-prod
16×add-exp-log associate-*l* add-cbrt-cube
15×times-frac
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1
prod-exp associate-/r* cbrt-unprod
cbrt-undiv div-exp pow-prod-down
sqrt-div associate-*l/ div-inv add-log-exp
frac-2neg associate-*r* clear-num *-commutative associate-/l/ associate-/l*
Counts
2 → 62
Calls
2 calls:
17.0ms
(* (sqrt (/ 841.0 108.0)) (* (sqrt 841.0) x))
14.0ms
(/ (* (sqrt (/ 841.0 108.0)) (* (sqrt 841.0) x)) (sqrt 108.0))

series239.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(* (sqrt (/ 841.0 108.0)) (* (sqrt 841.0) x))
148.0ms
(/ (* (sqrt (/ 841.0 108.0)) (* (sqrt 841.0) x)) (sqrt 108.0))

simplify402.0ms

Counts
68 → 68
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
0121934
1285833
21057751
done5000751

prune158.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes40.0ms

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

sample254.0ms

Algorithm
intervals
Results
164.0ms8001×body80valid
0.0msbody1280valid
0.0msbody320valid
0.0msbody160valid