Details

Time bar (total: 20.8s)

sample18.0ms

Algorithm
intervals
Results
9.0ms336×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: 0.8b

localize5.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ 1.0 (* x x))

rewrite10.0ms

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:
9.0ms
(/ 1.0 (* x x))

series27.0ms

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

simplify3.9s

Counts
24 → 24
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
043185
191182
2230152
3526152
4907152
52395152
done5001152

prune55.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite15.0ms

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)

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ (/ 1.0 x) x)

simplify5.2s

Counts
73 → 73
Iterations

Useful iterations: done (5.2s)

IterNodesCost
0140862
1303813
2622757
31460745
43796724
done5000721

prune213.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
258×times-frac
144×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
141×cbrt-prod
22×associate-/l*
9×add-exp-log
8×div-inv
6×associate-/r* add-cbrt-cube
4×pow1 add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×frac-2neg clear-num associate-/l/
Counts
4 → 208
Calls
4 calls:
26.0ms
(/ (/ 1.0 (cbrt x)) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
318.0ms
(/ (/ 1.0 (cbrt x)) (cbrt x))
283.0ms
(cbrt x)
252.0ms
(cbrt x)
256.0ms
(cbrt x)

simplify2.6s

Counts
220 → 220
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02873293
16353070
212912840
337962794
done50002785

prune637.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
17.3b
(cbrt (/ (/ 1.0 x) x))
17.3b
(cbrt (/ (/ 1.0 x) x))
17.3b
(cbrt (/ (/ 1.0 x) x))

rewrite192.0ms

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:
104.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
11.0ms
(cbrt (/ (/ 1.0 x) x))
11.0ms
(cbrt (/ (/ 1.0 x) x))
18.0ms
(cbrt (/ (/ 1.0 x) x))

series1.4s

Counts
4 → 12
Calls
4 calls:
393.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
345.0ms
(cbrt (/ (/ 1.0 x) x))
378.0ms
(cbrt (/ (/ 1.0 x) x))
302.0ms
(cbrt (/ (/ 1.0 x) x))

simplify2.8s

Counts
343 → 343
Iterations

Useful iterations: done (2.7s)

IterNodesCost
03846494
15856058
215065758
326155565
done50015505

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes121.0ms

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

sample964.0ms

Algorithm
intervals
Results
290.0ms10612×body80valid