Details

Time bar (total: 16.4s)

sample34.0ms

Algorithm
intervals
Results
12.0ms257×body80valid
8.0ms245×body80nan

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done4
14
03

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite17.0ms

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:
16.0ms
(* x (log x))

series266.0ms

Counts
1 → 3
Calls
1 calls:
266.0ms
(* x (log x))

simplify2.4s

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

prune134.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt
17×associate-*r*
12×cbrt-prod log-prod
10×pow1
8×add-cbrt-cube associate-*l* add-exp-log
7×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u pow1/3 log-pow insert-posit16 log1p-expm1-u add-log-exp
3×distribute-rgt-out distribute-lft-out
2×pow-prod-down prod-exp associate-*r/ *-commutative cbrt-unprod unswap-sqr
1×distribute-lft1-in flip3-+ count-2 distribute-rgt1-in flip-+
Counts
4 → 99
Calls
4 calls:
7.0ms
(* x (log (cbrt x)))
23.0ms
(* (log (cbrt x)) (+ x x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.4s

Counts
4 → 12
Calls
4 calls:
419.0ms
(* x (log (cbrt x)))
458.0ms
(* (log (cbrt x)) (+ x x))
270.0ms
(cbrt x)
216.0ms
(cbrt x)

simplify3.1s

Counts
111 → 111
Iterations
IterNodes
done5000
34476
21144
1307
0127

prune444.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×unpow-prod-down *-un-lft-identity
37×add-cube-cbrt
34×log-prod
27×times-frac
18×distribute-rgt-in distribute-lft-in
16×associate-*r*
13×add-exp-log
11×pow1
8×add-cbrt-cube associate-*l*
4×expm1-log1p-u pow-exp insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-prod pow-unpow pow-pow distribute-rgt-out log-pow div-inv distribute-lft-out sqr-pow
2×pow1/3 div-exp pow-prod-down prod-exp associate-*r/ *-commutative cbrt-unprod unswap-sqr
1×pow-to-exp rec-exp distribute-lft1-in flip3-+ count-2 1-exp distribute-rgt1-in flip-+ pow-flip inv-pow
Counts
4 → 141
Calls
4 calls:
10.0ms
(* x (log (pow (/ 1 x) -1/3)))
20.0ms
(* (log (cbrt x)) (+ x x))
1.0ms
(cbrt x)
4.0ms
(pow (/ 1 x) -1/3)

series1.4s

Counts
4 → 12
Calls
4 calls:
435.0ms
(* x (log (pow (/ 1 x) -1/3)))
427.0ms
(* (log (cbrt x)) (+ x x))
257.0ms
(cbrt x)
247.0ms
(pow (/ 1 x) -1/3)

simplify1.6s

Counts
153 → 153
Iterations
IterNodes
done5002
22023
1647
0261

prune726.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1
20×add-cbrt-cube add-exp-log
15×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
11×associate-*r*
10×associate-*l* pow-prod-down prod-exp cbrt-unprod
6×log-prod sqrt-prod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-prod distribute-rgt-in distribute-lft-in *-commutative
1×pow1/3 log-pow unswap-sqr
Counts
4 → 93
Calls
4 calls:
29.0ms
(* (* 1/3 (log x)) (sqrt x))
90.0ms
(* (sqrt x) (* (* 1/3 (log x)) (sqrt x)))
13.0ms
(* 1/3 (log x))
1.0ms
(cbrt x)

series832.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* (* 1/3 (log x)) (sqrt x))
284.0ms
(* (sqrt x) (* (* 1/3 (log x)) (sqrt x)))
244.0ms
(* 1/3 (log x))
210.0ms
(cbrt x)

simplify2.3s

Counts
105 → 105
Iterations
IterNodes
done5000
21369
1446
0175

prune505.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes92.0ms

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

sample801.0ms

Algorithm
intervals
Results
362.0ms8041×body80valid
210.0ms7918×body80nan