Details

Time bar (total: 5.5s)

sample23.0ms

Algorithm
intervals
Results
8.0ms258×body80valid
4.0ms198×body80nan

simplify3.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b
(* 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:
9.0ms
(* x (log x))

series205.0ms

Counts
1 → 3
Calls
1 calls:
205.0ms
(* x (log x))

simplify184.0ms

Counts
28 → 28

prune43.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
10.0ms
(* x (log (cbrt x)))
31.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
374.0ms
(* x (log (cbrt x)))
382.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
197.0ms
(cbrt x)
193.0ms
(cbrt x)

simplify50.0ms

Counts
114 → 114

prune322.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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)

rewrite49.0ms

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:
13.0ms
(* (sqrt x) (log (cbrt x)))
31.0ms
(* (sqrt x) (* (sqrt x) (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series783.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* (sqrt x) (log (cbrt x)))
266.0ms
(* (sqrt x) (* (sqrt x) (log (cbrt x))))
209.0ms
(cbrt x)
207.0ms
(cbrt x)

simplify42.0ms

Counts
115 → 115

prune278.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* x (* 2 (log (cbrt x)))) (* (* x 1/3) (log x)))
0.3b
(* x 1/3)
0.4b
(* (* x 1/3) (log x))
0.6b
(cbrt x)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
24×associate-+l+
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
15×cbrt-prod
12×pow1
11×add-exp-log add-cbrt-cube
7×associate-*r*
6×associate-+r+ add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×*-commutative
1×+-commutative flip3-+ pow1/3 sum-log log-pow flip-+ unswap-sqr
Counts
4 → 95
Calls
4 calls:
30.0ms
(+ (* x (* 2 (log (cbrt x)))) (* (* x 1/3) (log x)))
7.0ms
(* x 1/3)
19.0ms
(* (* x 1/3) (log x))
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
612.0ms
(+ (* x (* 2 (log (cbrt x)))) (* (* x 1/3) (log x)))
21.0ms
(* x 1/3)
217.0ms
(* (* x 1/3) (log x))
204.0ms
(cbrt x)

simplify73.0ms

Counts
107 → 107

prune282.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample751.0ms

Algorithm
intervals
Results
220.0ms8042×body80valid
150.0ms8049×body80nan