Details

Time bar (total: 17.7s)

sample11.0ms

Algorithm
intervals
Results
5.0ms333×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
165
done65

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize3.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ 1.0 (* x x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
cbrt-undiv div-exp
pow1 frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv add-log-exp
Counts
1 → 21
Calls
1 calls:
3.0ms
(/ 1.0 (* x x))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(/ 1.0 (* x x))

simplify4.5s

Counts
24 → 24
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
043185
194182
2275152
31010152
44711152
done5000152

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp associate-/r*
pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 70
Calls
1 calls:
6.0ms
(/ (/ 1.0 x) x)

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(/ (/ 1.0 x) x)

simplify3.6s

Counts
73 → 73
Iterations

Useful iterations: 3 (704.0ms)

IterNodesCost
0140862
1311813
2747757
32184745
done5000745

prune113.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
20.0b
(cbrt (/ (/ 1.0 x) x))
20.0b
(cbrt (/ (/ 1.0 x) x))
20.0b
(cbrt (/ (/ 1.0 x) x))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
486×times-frac
325×cbrt-prod
309×add-sqr-sqrt
253×add-cube-cbrt *-un-lft-identity
46×swap-sqr associate-*r* associate-*l*
28×div-inv
16×unswap-sqr
11×pow1
pow1/3
cbrt-div
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 → 331
Calls
4 calls:
63.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
4.0ms
(cbrt (/ (/ 1.0 x) x))
4.0ms
(cbrt (/ (/ 1.0 x) x))
4.0ms
(cbrt (/ (/ 1.0 x) x))

series905.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
223.0ms
(cbrt (/ (/ 1.0 x) x))
217.0ms
(cbrt (/ (/ 1.0 x) x))
218.0ms
(cbrt (/ (/ 1.0 x) x))

simplify3.5s

Counts
343 → 343
Iterations

Useful iterations: done (3.4s)

IterNodesCost
03846494
16096070
216485758
343095565
done50005562

prune881.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

19.2b
(sqrt (/ (/ 1.0 x) x))
19.2b
(sqrt (/ (/ 1.0 x) x))
20.0b
(cbrt (/ (/ 1.0 x) x))
20.0b
(cbrt (/ (/ 1.0 x) x))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
270×times-frac
156×add-sqr-sqrt
144×add-cube-cbrt *-un-lft-identity
86×cbrt-prod sqrt-prod
16×div-inv
pow1 rem-sqrt-square
add-exp-log add-cbrt-cube add-log-exp
cbrt-div sqrt-pow1 pow1/2 pow1/3 sqrt-div
Counts
4 → 216
Calls
4 calls:
7.0ms
(sqrt (/ (/ 1.0 x) x))
7.0ms
(sqrt (/ (/ 1.0 x) x))
4.0ms
(cbrt (/ (/ 1.0 x) x))
4.0ms
(cbrt (/ (/ 1.0 x) x))

series533.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(sqrt (/ (/ 1.0 x) x))
37.0ms
(sqrt (/ (/ 1.0 x) x))
223.0ms
(cbrt (/ (/ 1.0 x) x))
226.0ms
(cbrt (/ (/ 1.0 x) x))

simplify2.5s

Counts
228 → 228
Iterations

Useful iterations: 5 (1.7s)

IterNodesCost
02743402
14013172
26522988
312742920
417572858
533342822
done50002822

prune625.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes85.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
done45

end0.0ms

sample261.0ms

Algorithm
intervals
Results
148.0ms10595×body80valid