Details

Time bar (total: 12.4s)

sample25.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
5.0ms275×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034
144
done44

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite11.0ms

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:
10.0ms
(* x (log x))

series224.0ms

Counts
1 → 3
Calls
1 calls:
224.0ms
(* x (log x))

simplify1.6s

Counts
28 → 28
Iterations

Useful iterations: 3 (586.0ms)

IterNodesCost
053203
1107194
2288172
31607163
done5001163

prune68.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1
11×add-exp-log add-sqr-sqrt add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
6×cbrt-prod associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×log-pow *-commutative
1×unswap-sqr
Counts
4 → 60
Calls
4 calls:
15.0ms
(* (log (cbrt x)) x)
37.0ms
(* (* 2 (log (cbrt x))) x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.6s

Counts
4 → 12
Calls
4 calls:
520.0ms
(* (log (cbrt x)) x)
471.0ms
(* (* 2 (log (cbrt x))) x)
299.0ms
(cbrt x)
280.0ms
(cbrt x)

simplify1.0s

Counts
72 → 72
Iterations

Useful iterations: done (1.0s)

IterNodesCost
083525
1209497
21205407
done5000393

prune287.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* (* 2 (log (cbrt x))) x) (* -1/3 (* (- (log x)) x)))
0.3b
(* (* 2 (log (cbrt x))) x)
0.4b
(* -1/3 (* (- (log x)) x))
0.5b
(cbrt x)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
4×associate-*r* associate-*l*
3×distribute-lft-neg-out cbrt-prod distribute-rgt-neg-out
2×*-commutative
1×+-commutative flip3-+ pow1/3 unsub-neg sum-log flip-+
Counts
4 → 61
Calls
4 calls:
33.0ms
(+ (* (* 2 (log (cbrt x))) x) (* -1/3 (* (- (log x)) x)))
23.0ms
(* (* 2 (log (cbrt x))) x)
29.0ms
(* -1/3 (* (- (log x)) x))
1.0ms
(cbrt x)

series1.8s

Counts
4 → 12
Calls
4 calls:
702.0ms
(+ (* (* 2 (log (cbrt x))) x) (* -1/3 (* (- (log x)) x)))
518.0ms
(* (* 2 (log (cbrt x))) x)
278.0ms
(* -1/3 (* (- (log x)) x))
288.0ms
(cbrt x)

simplify1.3s

Counts
73 → 73
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0140850
1388772
21927522
done5000510

prune244.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (cbrt x)) x)
0.3b
(* (* 2 (log (pow (/ 1 x) -1/3))) x)
0.5b
(cbrt x)
5.1b
(pow (/ 1 x) -1/3)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-exp-log add-cube-cbrt *-un-lft-identity
14×pow1
13×unpow-prod-down
11×add-cbrt-cube
9×times-frac
6×associate-*r* associate-*l*
4×pow-prod-down pow-exp prod-exp cbrt-unprod add-log-exp
3×cbrt-prod pow-unpow pow-pow
2×pow1/3 div-exp log-pow *-commutative
1×pow-to-exp rec-exp pow-flip 1-exp div-inv inv-pow unswap-sqr sqr-pow
Counts
4 → 81
Calls
4 calls:
19.0ms
(* (log (cbrt x)) x)
21.0ms
(* (* 2 (log (pow (/ 1 x) -1/3))) x)
1.0ms
(cbrt x)
8.0ms
(pow (/ 1 x) -1/3)

series1.5s

Counts
4 → 12
Calls
4 calls:
498.0ms
(* (log (cbrt x)) x)
517.0ms
(* (* 2 (log (pow (/ 1 x) -1/3))) x)
250.0ms
(cbrt x)
265.0ms
(pow (/ 1 x) -1/3)

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0161859
1457746
21892610
done5001554

prune274.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes96.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034
144
done44

end0.0ms

sample888.0ms

Algorithm
intervals
Results
271.0ms8041×body80valid
197.0ms8228×body80nan