Details

Time bar (total: 5.1s)

sample17.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
3.0ms267×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
042
142
done42

prune2.0ms

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))

rewrite9.0ms

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:
8.0ms
(* x (log x))

series174.0ms

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

simplify189.0ms

Counts
30 → 30
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
095121
1348105
2104098
3453598
4500198
done500198

prune47.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
24×cbrt-prod
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
12×pow1
11×add-exp-log add-cbrt-cube
6×associate-*r* associate-*l*
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3
2×log-pow *-commutative
1×unswap-sqr
Counts
4 → 104
Calls
4 calls:
20.0ms
(* x (* 2 (log (cbrt x))))
12.0ms
(* x (log (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
339.0ms
(* x (* 2 (log (cbrt x))))
322.0ms
(* x (log (cbrt x)))
175.0ms
(cbrt x)
175.0ms
(cbrt x)

simplify45.0ms

Counts
116 → 116
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0294668
11212589
25002567
done5002567

prune241.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
10×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 → 58
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))

series858.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
186.0ms
(cbrt x)
247.0ms
(cbrt (cbrt x))
245.0ms
(cbrt (cbrt x))

simplify49.0ms

Counts
70 → 70
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
075246
1145230
2361222
31382222
45002222
done5002222

prune286.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (pow (/ 1 x) -1/3)) x)
0.3b
(* x (* 2 (log (cbrt x))))
0.6b
(cbrt x)
5.1b
(pow (/ 1 x) -1/3)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×distribute-rgt-in add-cube-cbrt log-prod *-un-lft-identity distribute-lft-in
16×add-exp-log
15×cbrt-prod
13×pow1 unpow-prod-down
11×add-cbrt-cube
9×times-frac
7×associate-*l*
4×expm1-log1p-u associate-*r* pow-prod-down pow-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-unpow pow-pow
2×div-exp *-commutative
1×pow-to-exp rec-exp pow-flip pow1/3 1-exp log-pow div-inv inv-pow unswap-sqr sqr-pow
Counts
4 → 112
Calls
4 calls:
8.0ms
(* (log (pow (/ 1 x) -1/3)) x)
24.0ms
(* x (* 2 (log (cbrt x))))
1.0ms
(cbrt x)
7.0ms
(pow (/ 1 x) -1/3)

series1.0s

Counts
4 → 12
Calls
4 calls:
323.0ms
(* (log (pow (/ 1 x) -1/3)) x)
348.0ms
(* x (* 2 (log (cbrt x))))
182.0ms
(cbrt x)
180.0ms
(pow (/ 1 x) -1/3)

simplify51.0ms

Counts
124 → 124
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0468713
11674626
25002584
done5002584

prune419.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes64.0ms

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
042
142
done42

end0.0ms

sample468.0ms

Algorithm
intervals
Results
156.0ms8033×body80valid
94.0ms7858×body80nan