Details

Time bar (total: 13.2s)

sample35.0ms

Algorithm
intervals
Results
10.0ms257×body80valid
7.0ms260×body80nan

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done4
14
03

prune5.0ms

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))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×*-un-lft-identity add-cube-cbrt
4×pow1 associate-*r*
3×distribute-rgt-in distribute-lft-in add-cbrt-cube associate-*l* add-exp-log
1×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
7.0ms
(* x (log x))

series298.0ms

Counts
1 → 3
Calls
1 calls:
298.0ms
(* x (log x))

simplify1.1s

Counts
28 → 28
Iterations
IterNodes
done5000
31585
2290
1107
053

prune123.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* 2 (log (cbrt x))))
0.3b
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
60×log-prod
54×distribute-rgt-in distribute-lft-in
36×cbrt-prod
27×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
24×associate-+l+
12×associate-+r+
9×pow1 add-cbrt-cube add-exp-log
6×add-log-exp
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+ distribute-lft-out
Counts
4 → 112
Calls
4 calls:
33.0ms
(* x (* 2 (log (cbrt x))))
41.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.6s

Counts
4 → 12
Calls
4 calls:
565.0ms
(* x (* 2 (log (cbrt x))))
550.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
240.0ms
(cbrt x)
274.0ms
(cbrt x)

simplify837.0ms

Counts
124 → 124
Iterations
IterNodes
done5001
21766
1439
0181

prune643.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (pow x 2/3))
5.9b
(pow x 2/3)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×unpow-prod-down
5×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×pow-unpow pow1/3
2×sqr-pow
1×pow-to-exp pow-pow pow-exp
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
3.0ms
(cbrt (pow x 2/3))
4.0ms
(pow x 2/3)

series1.4s

Counts
4 → 12
Calls
4 calls:
343.0ms
(cbrt x)
403.0ms
(cbrt (cbrt x))
277.0ms
(cbrt (pow x 2/3))
335.0ms
(pow x 2/3)

simplify3.2s

Counts
69 → 69
Iterations
IterNodes
done5000
33043
2668
1198
093

prune437.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (* (cbrt (- x)) (cbrt -1)))
0.4b
(* (log (* (cbrt (- x)) (cbrt -1))) (* 3 x))
0.6b
(cbrt (- x))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1
11×add-exp-log
10×cbrt-prod
8×add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity pow-prod-down add-cube-cbrt
6×associate-*l* log-pow
5×pow1/3
4×prod-exp
3×distribute-lft-neg-in distribute-rgt-neg-in cbrt-unprod add-log-exp
2×rem-log-exp
1×log-prod neg-mul-1 associate-*r* *-commutative
Counts
3 → 52
Calls
3 calls:
13.0ms
(log (* (cbrt (- x)) (cbrt -1)))
55.0ms
(* (log (* (cbrt (- x)) (cbrt -1))) (* 3 x))
3.0ms
(cbrt (- x))

series1.5s

Counts
3 → 9
Calls
3 calls:
517.0ms
(log (* (cbrt (- x)) (cbrt -1)))
657.0ms
(* (log (* (cbrt (- x)) (cbrt -1))) (* 3 x))
330.0ms
(cbrt (- x))

simplify517.0ms

Counts
61 → 61
Iterations
IterNodes
done5000
2714
1190
090

prune241.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample937.0ms

Algorithm
intervals
Results
309.0ms8033×body80valid
231.0ms8046×body80nan