Details

Time bar (total: 20.6s)

sample13.0ms

Algorithm
intervals
Results
6.0ms326×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: 0.4b

localize3.0ms

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))

series27.0ms

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

simplify3.9s

Counts
24 → 24
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
043185
191182
2230152
3526152
4907152
52395152
done5001152

prune36.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ 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:
11.0ms
(/ (/ 1.0 x) x)

series27.0ms

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

simplify4.6s

Counts
73 → 73
Iterations

Useful iterations: done (4.6s)

IterNodesCost
0140862
1303813
2622757
31460745
43796724
done5000721

prune144.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

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)

rewrite29.0ms

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:
17.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
6.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
293.0ms
(* (cbrt x) (cbrt x))
250.0ms
(cbrt x)
249.0ms
(cbrt x)
258.0ms
(cbrt x)

simplify4.8s

Counts
85 → 85
Iterations

Useful iterations: done (4.8s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune639.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (cbrt (* x x)))
0.3b
(/ 1.0 (cbrt x))
0.6b
(cbrt x)
17.9b
(cbrt (* x x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
29×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
20×cbrt-prod
10×add-exp-log associate-/r*
6×add-cbrt-cube associate-/l*
5×pow1
4×add-log-exp
3×pow1/3 div-exp
2×cbrt-undiv pow-flip frac-2neg clear-num div-inv
1×rec-exp 1-exp inv-pow
Counts
4 → 95
Calls
4 calls:
8.0ms
(/ 1 (cbrt (* x x)))
6.0ms
(/ 1.0 (cbrt x))
5.0ms
(cbrt x)
4.0ms
(cbrt (* x x))

series1.2s

Counts
4 → 12
Calls
4 calls:
300.0ms
(/ 1 (cbrt (* x x)))
385.0ms
(/ 1.0 (cbrt x))
283.0ms
(cbrt x)
278.0ms
(cbrt (* x x))

simplify2.9s

Counts
107 → 107
Iterations

Useful iterations: 3 (361.0ms)

IterNodesCost
0143874
1245777
2465743
3985733
43531733
done5000733

prune365.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes104.0ms

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

sample621.0ms

Algorithm
intervals
Results
349.0ms10570×body80valid