Details

Time bar (total: 21.0s)

sample15.0ms

Algorithm
intervals
Results
7.0ms338×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize6.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ 1.0 (* x x))

rewrite9.0ms

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))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(/ 1.0 (* x x))

simplify4.4s

Counts
24 → 24
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
043185
191182
2230152
3526152
4907152
52395152
done5001152

prune44.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite18.0ms

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:
12.0ms
(/ (/ 1.0 x) x)

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (/ 1.0 x) x)

simplify5.7s

Counts
73 → 73
Iterations

Useful iterations: done (5.7s)

IterNodesCost
0140862
1303813
2622757
31460745
43796724
done5000721

prune209.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
1.2b
(/ (cbrt 1.0) (* x (cbrt x)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×add-exp-log
6×times-frac add-cbrt-cube associate-/l*
4×pow1 add-log-exp
3×pow1/3
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 60
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
27.0ms
(/ (cbrt 1.0) (* x (cbrt x)))

series1.8s

Counts
4 → 12
Calls
4 calls:
314.0ms
(cbrt x)
314.0ms
(cbrt x)
284.0ms
(cbrt x)
842.0ms
(/ (cbrt 1.0) (* x (cbrt x)))

simplify1.9s

Counts
72 → 72
Iterations

Useful iterations: done (1.8s)

IterNodesCost
080493
1150473
2389409
31321398
done5001395

prune297.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
21.1b
(cbrt (/ (/ 1.0 x) x))
21.1b
(cbrt (/ (/ 1.0 x) x))
21.1b
(cbrt (/ (/ 1.0 x) x))

rewrite211.0ms

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:
152.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
10.0ms
(cbrt (/ (/ 1.0 x) x))
10.0ms
(cbrt (/ (/ 1.0 x) x))
13.0ms
(cbrt (/ (/ 1.0 x) x))

series1.5s

Counts
4 → 12
Calls
4 calls:
467.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
288.0ms
(cbrt (/ (/ 1.0 x) x))
425.0ms
(cbrt (/ (/ 1.0 x) x))
356.0ms
(cbrt (/ (/ 1.0 x) x))

simplify2.7s

Counts
343 → 343
Iterations

Useful iterations: done (2.7s)

IterNodesCost
03846494
15856058
215065758
326155565
done50015505

prune1.3s

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes99.0ms

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

sample599.0ms

Algorithm
intervals
Results
363.0ms10652×body80valid