Details

Time bar (total: 12.9s)

sample11.0ms

Algorithm
intervals
Results
4.0ms336×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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))

rewrite8.0ms

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:
8.0ms
(/ 1.0 (* x x))

series26.0ms

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

simplify2.8s

Counts
24 → 24
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
043185
191182
2230152
3526152
4907152
52395152
done5001152

prune33.0ms

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)

rewrite14.0ms

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:
11.0ms
(/ (/ 1.0 x) x)

series26.0ms

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

simplify3.6s

Counts
73 → 73
Iterations

Useful iterations: done (3.6s)

IterNodesCost
0140862
1303813
2622757
31460745
43796724
done5000721

prune104.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
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 → 144
Calls
4 calls:
27.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))

series806.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
190.0ms
(cbrt (/ 1.0 x))
196.0ms
(cbrt (/ 1.0 x))
197.0ms
(cbrt (/ 1.0 x))

simplify2.1s

Counts
156 → 156
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01421844
12211697
25971635
312271570
439711564
done50001527

prune369.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1 (* (cbrt x) (cbrt x))))
0.6b
(cbrt (/ 1.0 (cbrt x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
39×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log cbrt-div pow1/3 add-cbrt-cube div-inv add-log-exp
Counts
4 → 91
Calls
4 calls:
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))
10.0ms
(cbrt (/ 1 (* (cbrt x) (cbrt x))))
3.0ms
(cbrt (/ 1.0 (cbrt x)))

series1.0s

Counts
4 → 12
Calls
4 calls:
207.0ms
(cbrt (/ 1.0 x))
203.0ms
(cbrt (/ 1.0 x))
302.0ms
(cbrt (/ 1 (* (cbrt x) (cbrt x))))
300.0ms
(cbrt (/ 1.0 (cbrt x)))

simplify1.2s

Counts
103 → 103
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01651086
12421034
2411992
3757980
41927980
done5000974

prune330.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes107.0ms

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

sample298.0ms

Algorithm
intervals
Results
146.0ms10802×body80valid