Details

Time bar (total: 10.2s)

sample33.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
7.0ms252×body80nan

simplify19.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite16.0ms

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:
15.0ms
(* x (log x))

series267.0ms

Counts
1 → 3
Calls
1 calls:
267.0ms
(* x (log x))

simplify490.0ms

Counts
28 → 28

prune82.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt x)))
0.3b
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite79.0ms

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:
17.0ms
(* x (log (cbrt x)))
52.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.4s

Counts
4 → 12
Calls
4 calls:
493.0ms
(* x (log (cbrt x)))
404.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
249.0ms
(cbrt x)
285.0ms
(cbrt x)

simplify736.0ms

Counts
114 → 114

prune390.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* 2 (log (cbrt x))))
0.3b
(* (/ x 3) (log x))
0.3b
(+ (* x (* 2 (log (cbrt x)))) (* (/ x 3) (log x)))
0.5b
(cbrt x)

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
60×log-prod
54×distribute-rgt-in distribute-lft-in
39×add-sqr-sqrt
34×add-cube-cbrt *-un-lft-identity
27×cbrt-prod
24×associate-+l+
16×associate-*l*
14×add-exp-log add-cbrt-cube
12×pow1
10×times-frac
6×associate-+r+ add-log-exp
5×associate-*r* prod-exp cbrt-unprod
4×pow-prod-down
2×*-commutative unswap-sqr
1×cbrt-undiv +-commutative flip3-+ pow1/3 div-exp associate-*l/ sum-log log-pow flip-+ div-inv
Counts
4 → 133
Calls
4 calls:
41.0ms
(* x (* 2 (log (cbrt x))))
23.0ms
(* (/ x 3) (log x))
24.0ms
(+ (* x (* 2 (log (cbrt x)))) (* (/ x 3) (log x)))
1.0ms
(cbrt x)

series1.6s

Counts
4 → 12
Calls
4 calls:
485.0ms
(* x (* 2 (log (cbrt x))))
263.0ms
(* (/ x 3) (log x))
672.0ms
(+ (* x (* 2 (log (cbrt x)))) (* (/ x 3) (log x)))
221.0ms
(cbrt x)

simplify972.0ms

Counts
145 → 145

prune562.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ x 3) (log (cbrt x)))
0.3b
(* (* 2 (log (cbrt x))) (+ (/ x 3) x))
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
21×*-un-lft-identity
19×add-cube-cbrt
14×add-exp-log associate-*l* add-cbrt-cube
12×pow1 cbrt-prod log-prod
10×times-frac
9×associate-*r*
7×distribute-rgt-in distribute-lft-in
5×prod-exp cbrt-unprod
4×pow-prod-down add-log-exp
3×pow1/3
2×associate-*r/ log-pow *-commutative unswap-sqr
1×cbrt-undiv flip3-+ div-exp associate-*l/ flip-+ div-inv distribute-lft-out
Counts
4 → 91
Calls
4 calls:
18.0ms
(* (/ x 3) (log (cbrt x)))
67.0ms
(* (* 2 (log (cbrt x))) (+ (/ x 3) x))
2.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.4s

Counts
4 → 12
Calls
4 calls:
492.0ms
(* (/ x 3) (log (cbrt x)))
444.0ms
(* (* 2 (log (cbrt x))) (+ (/ x 3) x))
268.0ms
(cbrt x)
230.0ms
(cbrt x)

simplify764.0ms

Counts
103 → 103

prune277.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify12.0ms

end0.0ms

sample710.0ms

Algorithm
intervals
Results
227.0ms8027×body80valid
185.0ms8178×body80nan