Details

Time bar (total: 15.4s)

sample36.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
7.0ms223×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

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite17.0ms

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:
16.0ms
(* x (log x))

series247.0ms

Counts
1 → 3
Calls
1 calls:
247.0ms
(* x (log x))

simplify1.7s

Counts
30 → 30
Iterations

Useful iterations: 3 (340.0ms)

IterNodesCost
055213
1109204
2294180
31720173
done5001173

prune71.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2 (log (cbrt x))) x)
0.3b
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite60.0ms

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:
27.0ms
(* (* 2 (log (cbrt x))) x)
27.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.6s

Counts
4 → 12
Calls
4 calls:
518.0ms
(* (* 2 (log (cbrt x))) x)
583.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
299.0ms
(cbrt x)
221.0ms
(cbrt x)

simplify1.6s

Counts
84 → 84
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0125867
1342780
21753625
done5001597

prune389.0ms

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))))
0.3b
(* x (log (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite31.0ms

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))))
24.0ms
(* x (log (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series2.2s

Counts
4 → 12
Calls
4 calls:
1.1s
(fma (* 2 (log (cbrt x))) x (* x (log (cbrt x))))
525.0ms
(* x (log (cbrt x)))
263.0ms
(cbrt x)
293.0ms
(cbrt x)

simplify3.6s

Counts
82 → 82
Iterations

Useful iterations: done (3.6s)

IterNodesCost
099667
1199642
2636555
33934523
done5001509

prune315.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt x) (log (cbrt x)))
0.4b
(* (sqrt x) (* (sqrt x) (log (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
27×add-sqr-sqrt
24×cbrt-prod
23×add-cube-cbrt *-un-lft-identity
12×pow1 associate-*l*
11×add-exp-log add-cbrt-cube
7×sqrt-prod
6×associate-*r*
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3
2×log-pow *-commutative unswap-sqr
Counts
4 → 111
Calls
4 calls:
20.0ms
(* (sqrt x) (log (cbrt x)))
58.0ms
(* (sqrt x) (* (sqrt x) (log (cbrt x))))
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
115.0ms
(* (sqrt x) (log (cbrt x)))
330.0ms
(* (sqrt x) (* (sqrt x) (log (cbrt x))))
293.0ms
(cbrt x)
281.0ms
(cbrt x)

simplify1.2s

Counts
123 → 123
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01661475
14561397
223131007
done5001966

prune377.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034
144
done44

end0.0ms

sample683.0ms

Algorithm
intervals
Results
200.0ms8034×body80valid
131.0ms7955×body80nan