Details

Time bar (total: 7.7s)

sample16.0ms

Algorithm
intervals
Results
7.0ms339×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: 0.7b

localize3.0ms

Local error

Found 1 expressions with local error:

0.7b
(/ 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))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ 1.0 (* x x))

simplify464.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
043185
1109182
2607152
done5000152

prune71.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite30.0ms

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:
23.0ms
(/ (/ 1.0 x) x)

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(/ (/ 1.0 x) x)

simplify1.1s

Counts
73 → 73
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0140862
1338813
21621761
done5001749

prune188.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
14.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
337.0ms
(* (cbrt x) (cbrt x))
301.0ms
(cbrt x)
276.0ms
(cbrt x)
302.0ms
(cbrt x)

simplify1.3s

Counts
85 → 85
Iterations

Useful iterations: done (1.3s)

IterNodesCost
061524
1139417
2735397
done5000383

prune247.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
27×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×cbrt-div div-inv
Counts
4 → 77
Calls
4 calls:
2.0ms
(cbrt x)
4.0ms
(cbrt (/ 1.0 x))
4.0ms
(cbrt (/ 1.0 x))
5.0ms
(cbrt (/ 1.0 x))

series1.3s

Counts
4 → 12
Calls
4 calls:
312.0ms
(cbrt x)
343.0ms
(cbrt (/ 1.0 x))
346.0ms
(cbrt (/ 1.0 x))
328.0ms
(cbrt (/ 1.0 x))

simplify787.0ms

Counts
89 → 89
Iterations

Useful iterations: 3 (187.0ms)

IterNodesCost
080752
1124715
2293667
31018655
done5001655

prune278.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.1b 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

sample509.0ms

Algorithm
intervals
Results
259.0ms10726×body80valid