Details

Time bar (total: 22.9s)

sample22.0ms

Algorithm
intervals
Results
10.0ms326×body80valid

simplify4.0ms

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))

rewrite14.0ms

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:
13.0ms
(/ 1.0 (* x x))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ 1.0 (* x x))

simplify4.3s

Counts
24 → 24
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
043185
191182
2230152
3526152
4907152
52395152
done5001152

prune47.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ 1.0 x) x)

rewrite20.0ms

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:
16.0ms
(/ (/ 1.0 x) x)

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(/ (/ 1.0 x) x)

simplify5.3s

Counts
73 → 73
Iterations

Useful iterations: done (5.3s)

IterNodesCost
0140862
1303813
2622757
31460745
43796724
done5000721

prune144.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

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)

rewrite16.0ms

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:
12.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
325.0ms
(* (cbrt x) (cbrt x))
342.0ms
(cbrt x)
319.0ms
(cbrt x)
301.0ms
(cbrt x)

simplify5.4s

Counts
85 → 85
Iterations

Useful iterations: done (5.4s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune268.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
50×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×sqrt-prod
32×cbrt-prod
12×associate-/l*
10×associate-/r*
8×add-exp-log
6×add-cbrt-cube
4×pow1 add-log-exp
2×cbrt-undiv frac-2neg pow1/3 div-exp clear-num div-inv
Counts
4 → 126
Calls
4 calls:
16.0ms
(/ (sqrt 1.0) (cbrt (* x x)))
15.0ms
(/ (sqrt 1.0) (cbrt x))
1.0ms
(cbrt x)
7.0ms
(cbrt (* x x))

series1.3s

Counts
4 → 12
Calls
4 calls:
351.0ms
(/ (sqrt 1.0) (cbrt (* x x)))
350.0ms
(/ (sqrt 1.0) (cbrt x))
266.0ms
(cbrt x)
316.0ms
(cbrt (* x x))

simplify3.4s

Counts
138 → 138
Iterations

Useful iterations: 3 (380.0ms)

IterNodesCost
01661492
12761365
25641331
312001323
435931323
done50001323

prune415.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes111.0ms

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

sample658.0ms

Algorithm
intervals
Results
360.0ms10570×body80valid