Details

Time bar (total: 11.6s)

sample39.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
9.0ms265×body80nan

simplify19.0ms

Counts
1 → 1

prune4.0ms

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×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
18.0ms
(* x (log x))

series301.0ms

Counts
1 → 3
Calls
1 calls:
301.0ms
(* x (log x))

simplify597.0ms

Counts
28 → 28

prune64.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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)

rewrite63.0ms

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:
28.0ms
(* x (* 2 (log (cbrt x))))
28.0ms
(* x (log (cbrt x)))
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series2.1s

Counts
4 → 12
Calls
4 calls:
418.0ms
(* x (* 2 (log (cbrt x))))
1.0s
(* x (log (cbrt x)))
283.0ms
(cbrt x)
329.0ms
(cbrt x)

simplify1.6s

Counts
108 → 108

prune282.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
80×log-prod
74×distribute-rgt-in distribute-lft-in
65×unpow-prod-down
54×add-sqr-sqrt
52×add-cube-cbrt *-un-lft-identity
45×times-frac
16×add-exp-log
14×pow1
11×add-cbrt-cube
9×cbrt-prod
6×associate-*r* associate-*l*
5×div-inv sqr-pow
4×pow-prod-down pow-exp prod-exp cbrt-unprod add-log-exp
3×pow-unpow pow-pow
2×pow1/3 div-exp log-pow *-commutative
1×pow-to-exp rec-exp pow-flip 1-exp inv-pow unswap-sqr
Counts
4 → 161
Calls
4 calls:
17.0ms
(* x (log (cbrt x)))
64.0ms
(* x (* 2 (log (pow (/ 1 x) -1/3))))
1.0ms
(cbrt x)
7.0ms
(pow (/ 1 x) -1/3)

series1.4s

Counts
4 → 12
Calls
4 calls:
463.0ms
(* x (log (cbrt x)))
445.0ms
(* x (* 2 (log (pow (/ 1 x) -1/3))))
246.0ms
(cbrt x)
236.0ms
(pow (/ 1 x) -1/3)

simplify1.3s

Counts
173 → 173

prune467.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

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×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×log-pow *-commutative unswap-sqr
Counts
4 → 103
Calls
4 calls:
47.0ms
(* (sqrt x) (* (sqrt x) (log (cbrt x))))
15.0ms
(* (sqrt x) (log (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
338.0ms
(* (sqrt x) (* (sqrt x) (log (cbrt x))))
173.0ms
(* (sqrt x) (log (cbrt x)))
291.0ms
(cbrt x)
325.0ms
(cbrt x)

simplify738.0ms

Counts
115 → 115

prune336.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify12.0ms

end0.0ms

sample864.0ms

Algorithm
intervals
Results
326.0ms8044×body80valid
196.0ms8080×body80nan