Details

Time bar (total: 16.2s)

sample39.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
9.0ms250×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034
144
done44

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×add-cube-cbrt *-un-lft-identity
4×pow1 associate-*r*
3×add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
1×expm1-log1p-u pow-prod-down prod-exp log-pow *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
19.0ms
(* x (log x))

series284.0ms

Counts
1 → 3
Calls
1 calls:
284.0ms
(* x (log x))

simplify1.9s

Counts
30 → 30
Iterations

Useful iterations: 3 (308.0ms)

IterNodesCost
055213
1109204
2294180
31720173
done5001173

prune84.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2 (log (cbrt x))) x)
0.3b
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod associate-+r+ log-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
6×distribute-rgt-in distribute-lft-in add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×+-commutative fma-def flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
4 → 72
Calls
4 calls:
26.0ms
(* (* 2 (log (cbrt x))) x)
35.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
429.0ms
(* (* 2 (log (cbrt x))) x)
410.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
206.0ms
(cbrt x)
246.0ms
(cbrt x)

simplify1.4s

Counts
84 → 84
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0125867
1342780
21753625
done5001597

prune290.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (* 2 (log (cbrt x))) x (* x (log (cbrt x))))
0.2b
(* x (log (cbrt x)))
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×cbrt-prod add-cube-cbrt log-prod *-un-lft-identity
7×pow1
6×add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×log-pow
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 70
Calls
4 calls:
1.0ms
(fma (* 2 (log (cbrt x))) x (* x (log (cbrt x))))
17.0ms
(* x (log (cbrt x)))
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.9s

Counts
4 → 12
Calls
4 calls:
870.0ms
(fma (* 2 (log (cbrt x))) x (* x (log (cbrt x))))
492.0ms
(* x (log (cbrt x)))
270.0ms
(cbrt x)
250.0ms
(cbrt x)

simplify3.7s

Counts
82 → 82
Iterations

Useful iterations: done (3.7s)

IterNodesCost
099667
1199642
2636555
33934523
done5001509

prune399.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 55
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
442.0ms
(cbrt (cbrt x))
284.0ms
(cbrt x)
343.0ms
(cbrt x)
267.0ms
(cbrt x)

simplify2.0s

Counts
67 → 67
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
046329
182312
2193286
3652274
42424274
done5000274

prune375.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes58.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01222
11722
done1722

end0.0ms

sample1.0s

Algorithm
intervals
Results
329.0ms8035×body80valid
213.0ms7870×body80nan