Details

Time bar (total: 14.3s)

sample17.0ms

Algorithm
intervals
Results
5.0ms257×body80valid
4.0ms289×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
034
144
done44

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite5.0ms

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:
4.0ms
(* x (log x))

series175.0ms

Counts
1 → 3
Calls
1 calls:
174.0ms
(* x (log x))

simplify1.7s

Counts
30 → 30
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
055213
195204
2181180
3269173
41103173
done5000173

prune54.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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)

rewrite20.0ms

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:
8.0ms
(* (* 2 (log (cbrt x))) x)
10.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
350.0ms
(* (* 2 (log (cbrt x))) x)
347.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
177.0ms
(cbrt x)
179.0ms
(cbrt x)

simplify940.0ms

Counts
84 → 84
Iterations

Useful iterations: done (938.0ms)

IterNodesCost
0125867
1307776
21087586
done5000572

prune226.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

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)

rewrite8.0ms

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:
0.0ms
(fma (* 2 (log (cbrt x))) x (* x (log (cbrt x))))
5.0ms
(* x (log (cbrt x)))
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.6s

Counts
4 → 12
Calls
4 calls:
854.0ms
(fma (* 2 (log (cbrt x))) x (* x (log (cbrt x))))
365.0ms
(* x (log (cbrt x)))
180.0ms
(cbrt x)
183.0ms
(cbrt x)

simplify4.3s

Counts
82 → 82
Iterations

Useful iterations: 4 (2.6s)

IterNodesCost
099667
1166642
2371553
31103473
44950467
done5000467

prune191.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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:
15.0ms
(* (sqrt x) (* (sqrt x) (log (cbrt x))))
7.0ms
(* (sqrt x) (log (cbrt x)))
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series709.0ms

Counts
4 → 12
Calls
4 calls:
251.0ms
(* (sqrt x) (* (sqrt x) (log (cbrt x))))
94.0ms
(* (sqrt x) (log (cbrt x)))
186.0ms
(cbrt x)
177.0ms
(cbrt x)

simplify2.5s

Counts
123 → 123
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
01661475
13451125
21040995
33910950
done5000950

prune254.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01427
12027
done2027

end0.0ms

sample419.0ms

Algorithm
intervals
Results
153.0ms8036×body80valid
99.0ms8077×body80nan