Details

Time bar (total: 12.6s)

sample36.0ms

Algorithm
intervals
Results
9.0ms258×body80valid
8.0ms292×body80nan

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done4
14
03

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite13.0ms

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×expm1-log1p-u pow-prod-down prod-exp log-pow *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
12.0ms
(* x (log x))

series257.0ms

Counts
1 → 3
Calls
1 calls:
257.0ms
(* x (log x))

simplify1.6s

Counts
30 → 30
Iterations
IterNodes
done5001
31676
2293
1109
055

prune150.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×pow1
6×cbrt-prod add-cbrt-cube add-exp-log add-log-exp
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u
3×pow1/3 associate-*r*
2×associate-+l+ log-pow
1×distribute-rgt-in +-commutative sum-log fma-def distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 65
Calls
4 calls:
10.0ms
(* (log (cbrt x)) x)
16.0ms
(+ (* (log (cbrt x)) (+ x x)) (* (log (cbrt x)) x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.6s

Counts
4 → 12
Calls
4 calls:
373.0ms
(* (log (cbrt x)) x)
731.0ms
(+ (* (log (cbrt x)) (+ x x)) (* (log (cbrt x)) x))
269.0ms
(cbrt x)
266.0ms
(cbrt x)

simplify1.5s

Counts
77 → 77
Iterations
IterNodes
done5000
21408
1255
090

prune456.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×*-un-lft-identity add-cube-cbrt
7×pow1 add-exp-log
6×add-cbrt-cube add-log-exp
4×expm1-log1p-u associate-*l* log1p-expm1-u
3×cbrt-prod pow-unpow unpow-prod-down associate-*r*
2×associate-+l+
1×distribute-rgt-in pow-to-exp +-commutative sum-log pow-pow fma-def distribute-lft-in flip3-+ unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp log-pow *-commutative cbrt-unprod flip-+ unswap-sqr sqr-pow
Counts
4 → 70
Calls
4 calls:
7.0ms
(* (log (pow x 1/3)) x)
16.0ms
(+ (* (log (cbrt x)) (+ x x)) (* (log (pow x 1/3)) x))
1.0ms
(cbrt x)
4.0ms
(pow x 1/3)

series1.5s

Counts
4 → 12
Calls
4 calls:
421.0ms
(* (log (pow x 1/3)) x)
626.0ms
(+ (* (log (cbrt x)) (+ x x)) (* (log (pow x 1/3)) x))
261.0ms
(cbrt x)
224.0ms
(pow x 1/3)

simplify1.9s

Counts
82 → 82
Iterations
IterNodes
done5000
21628
1345
0125

prune487.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (sqrt x) (log x))
0.3b
(* (sqrt x) (* (sqrt x) (log x)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
18×log-prod
17×add-sqr-sqrt
15×distribute-rgt-in distribute-lft-in
13×*-un-lft-identity add-cube-cbrt
12×associate-*l*
10×pow1
9×add-cbrt-cube add-exp-log
7×sqrt-prod
5×associate-*r*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp unswap-sqr
1×log-pow
Counts
2 → 66
Calls
2 calls:
9.0ms
(* (sqrt x) (log x))
42.0ms
(* (sqrt x) (* (sqrt x) (log x)))

series258.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(* (sqrt x) (log x))
188.0ms
(* (sqrt x) (* (sqrt x) (log x)))

simplify1.4s

Counts
72 → 72
Iterations
IterNodes
done5000
21812
1387
0140

prune265.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done4
14
03

end0.0ms

sample821.0ms

Algorithm
intervals
Results
237.0ms8038×body80valid
161.0ms8176×body80nan