Details

Time bar (total: 11.6s)

sample38.0ms

Algorithm
intervals
Results
11.0ms257×body80valid
8.0ms276×body80nan

simplify21.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b
(* x (log x))

rewrite10.0ms

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×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
10.0ms
(* x (log x))

series270.0ms

Counts
1 → 3
Calls
1 calls:
270.0ms
(* x (log x))

simplify492.0ms

Counts
28 → 28

prune39.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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)

rewrite40.0ms

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×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×log-pow *-commutative
1×unswap-sqr
Counts
4 → 96
Calls
4 calls:
23.0ms
(* x (* 2 (log (cbrt x))))
11.0ms
(* x (log (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.6s

Counts
4 → 12
Calls
4 calls:
561.0ms
(* x (* 2 (log (cbrt x))))
490.0ms
(* x (log (cbrt x)))
279.0ms
(cbrt x)
275.0ms
(cbrt x)

simplify1.7s

Counts
108 → 108

prune275.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
13×add-exp-log unpow-prod-down
12×log-prod
11×pow1
9×cbrt-prod times-frac
8×associate-*r* add-cbrt-cube
7×associate-*l*
6×distribute-rgt-in distribute-lft-in
4×pow-exp add-log-exp
3×pow-unpow pow-pow log-pow
2×pow1/3 div-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow-to-exp rec-exp pow-flip 1-exp div-inv inv-pow sqr-pow
Counts
4 → 94
Calls
4 calls:
21.0ms
(* x (log (cbrt x)))
17.0ms
(* (log (pow (/ 1 x) -1/3)) x)
2.0ms
(cbrt x)
15.0ms
(pow (/ 1 x) -1/3)

series1.7s

Counts
4 → 12
Calls
4 calls:
533.0ms
(* x (log (cbrt x)))
472.0ms
(* (log (pow (/ 1 x) -1/3)) x)
306.0ms
(cbrt x)
340.0ms
(pow (/ 1 x) -1/3)

simplify741.0ms

Counts
106 → 106

prune452.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
263.0ms
(cbrt x)
287.0ms
(cbrt x)
257.0ms
(cbrt x)
315.0ms
(cbrt x)

simplify1.5s

Counts
56 → 56

prune304.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify19.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
254.0ms8040×body80valid
175.0ms8149×body80nan