Details

Time bar (total: 17.6s)

sample19.0ms

Algorithm
intervals
Results
7.0ms257×body80valid
5.0ms248×body80nan

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done4
14
03

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite19.0ms

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 insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 28
Calls
1 calls:
18.0ms
(* x (log x))

series344.0ms

Counts
1 → 3
Calls
1 calls:
344.0ms
(* x (log x))

simplify3.1s

Counts
31 → 31
Iterations
IterNodes
done5000
42284
3557
2222
1102
056

prune116.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

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)

rewrite27.0ms

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 insert-posit16 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 → 69
Calls
4 calls:
9.0ms
(* (log (cbrt x)) x)
15.0ms
(+ (* (log (cbrt x)) (+ x x)) (* (log (cbrt x)) x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.4s

Counts
4 → 12
Calls
4 calls:
466.0ms
(* (log (cbrt x)) x)
420.0ms
(+ (* (log (cbrt x)) (+ x x)) (* (log (cbrt x)) x))
303.0ms
(cbrt x)
256.0ms
(cbrt x)

simplify1.9s

Counts
81 → 81
Iterations
IterNodes
done5001
2990
1258
093

prune353.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1
11×add-cbrt-cube add-exp-log
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×associate-*l*
6×add-log-exp
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
3×cbrt-prod
2×associate-+l+ *-commutative
1×distribute-rgt-in +-commutative sum-log fma-def distribute-lft-in flip3-+ pow1/3 log-pow flip-+ unswap-sqr
Counts
4 → 74
Calls
4 calls:
11.0ms
(* (log x) x)
25.0ms
(+ (* (log (cbrt x)) (+ x x)) (* 1/3 (* (log x) x)))
17.0ms
(* 1/3 (* (log x) x))
1.0ms
(cbrt x)

series1.6s

Counts
4 → 12
Calls
4 calls:
311.0ms
(* (log x) x)
766.0ms
(+ (* (log (cbrt x)) (+ x x)) (* 1/3 (* (log x) x)))
257.0ms
(* 1/3 (* (log x) x))
225.0ms
(cbrt x)

simplify2.3s

Counts
86 → 86
Iterations
IterNodes
done5000
21346
1347
0136

prune517.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (log (cbrt x)) (+ x x) (* 1/3 (* (log x) x)))
0.3b
(* (log x) x)
0.4b
(* 1/3 (* (log x) x))
0.6b
(cbrt x)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1
11×add-cbrt-cube add-exp-log
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×associate-*l*
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-prod
2×*-commutative
1×pow1/3 log-pow fma-udef unswap-sqr
Counts
4 → 68
Calls
4 calls:
0.0ms
(fma (log (cbrt x)) (+ x x) (* 1/3 (* (log x) x)))
14.0ms
(* (log x) x)
32.0ms
(* 1/3 (* (log x) x))
1.0ms
(cbrt x)

series1.8s

Counts
4 → 12
Calls
4 calls:
863.0ms
(fma (log (cbrt x)) (+ x x) (* 1/3 (* (log x) x)))
289.0ms
(* (log x) x)
336.0ms
(* 1/3 (* (log x) x))
280.0ms
(cbrt x)

simplify2.7s

Counts
80 → 80
Iterations
IterNodes
done5000
32699
2808
1265
0120

prune320.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done14
114
011

end0.0ms

sample827.0ms

Algorithm
intervals
Results
330.0ms8039×body80valid
262.0ms8166×body80nan