Details

Time bar (total: 10.9s)

sample10.0ms

Algorithm
intervals
Results
4.0ms343×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

localize5.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ 1.0 (* x x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
2×cbrt-undiv div-exp
1×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))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ 1.0 (* x x))

simplify2.3s

Counts
24 → 24
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
043185
196182
2299152
31136152
43394152
done5000152

prune37.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

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*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/r*
1×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 70
Calls
1 calls:
6.0ms
(/ (/ 1.0 x) x)

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ (/ 1.0 x) x)

simplify608.0ms

Counts
73 → 73
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
0140862
1317813
21200757
done5000757

prune115.0ms

Pruning

9 alts after pruning (7 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)))
18.9b
(cbrt (/ (/ 1.0 x) x))
18.9b
(cbrt (/ (/ 1.0 x) x))
18.9b
(cbrt (/ (/ 1.0 x) x))

rewrite106.0ms

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
9×pow1/3
7×cbrt-div
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 331
Calls
4 calls:
66.0ms
(* (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))

series868.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
213.0ms
(cbrt (/ (/ 1.0 x) x))
205.0ms
(cbrt (/ (/ 1.0 x) x))
206.0ms
(cbrt (/ (/ 1.0 x) x))

simplify936.0ms

Counts
343 → 343
Iterations

Useful iterations: 2 (215.0ms)

IterNodesCost
03846494
16126070
223105758
done50005758

prune865.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (/ 1.0 x))
18.9b
(cbrt (/ (/ 1.0 x) x))
18.9b
(cbrt (/ (/ 1.0 x) x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
102×cbrt-prod
82×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×div-inv
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×cbrt-div
Counts
4 → 137
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt (/ 1.0 x))
4.0ms
(cbrt (/ (/ 1.0 x) x))
4.0ms
(cbrt (/ (/ 1.0 x) x))

series820.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt x)
202.0ms
(cbrt (/ 1.0 x))
216.0ms
(cbrt (/ (/ 1.0 x) x))
215.0ms
(cbrt (/ (/ 1.0 x) x))

simplify3.4s

Counts
149 → 149
Iterations

Useful iterations: 3 (646.0ms)

IterNodesCost
02332008
13741893
211291685
349881649
done50001649

prune386.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes77.0ms

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

sample251.0ms

Algorithm
intervals
Results
143.0ms10694×body80valid