Details

Time bar (total: 12.6s)

sample17.0ms

Algorithm
intervals
Results
5.0ms257×body80valid
3.0ms278×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
034
144
done44

prune1.0ms

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))

rewrite5.0ms

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:
4.0ms
(* x (log x))

series175.0ms

Counts
1 → 3
Calls
1 calls:
175.0ms
(* x (log x))

simplify3.6s

Counts
28 → 28
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
053203
193194
2271170
3688163
42343163
done5000163

prune43.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod associate-+r+ log-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
6×distribute-rgt-in distribute-lft-in add-log-exp
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
4 → 63
Calls
4 calls:
8.0ms
(* (* 2 (log (cbrt x))) x)
10.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
345.0ms
(* (* 2 (log (cbrt x))) x)
342.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
184.0ms
(cbrt x)
178.0ms
(cbrt x)

simplify619.0ms

Counts
75 → 75
Iterations

Useful iterations: done (617.0ms)

IterNodesCost
0119811
1291731
2978545
done5001528

prune192.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2 (log (cbrt x))) x)
0.3b
(+ (* (* 2 (log (cbrt x))) x) (* x (log (pow (/ 1 x) -1/3))))
0.6b
(cbrt x)
5.1b
(pow (/ 1 x) -1/3)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
39×unpow-prod-down
34×associate-+r+ log-prod
30×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×times-frac
17×distribute-rgt-in distribute-lft-in
14×add-exp-log
11×pow1
9×add-cbrt-cube
6×add-log-exp
4×pow-exp
3×cbrt-prod pow-unpow pow-pow associate-*r* pow-prod-down prod-exp cbrt-unprod div-inv sqr-pow
2×div-exp
1×+-commutative pow-to-exp rec-exp pow-flip flip3-+ pow1/3 1-exp associate-*l* sum-log *-commutative flip-+ inv-pow
Counts
4 → 106
Calls
4 calls:
7.0ms
(* (* 2 (log (cbrt x))) x)
16.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (pow (/ 1 x) -1/3))))
0.0ms
(cbrt x)
4.0ms
(pow (/ 1 x) -1/3)

series1.4s

Counts
4 → 12
Calls
4 calls:
354.0ms
(* (* 2 (log (cbrt x))) x)
668.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (pow (/ 1 x) -1/3))))
176.0ms
(cbrt x)
176.0ms
(pow (/ 1 x) -1/3)

simplify734.0ms

Counts
118 → 118
Iterations

Useful iterations: done (731.0ms)

IterNodesCost
02471591
15681311
216381043
done50011041

prune297.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1
11×add-exp-log
10×cbrt-prod
8×add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down
6×associate-*r* log-pow
5×pow1/3
4×prod-exp
3×distribute-lft-neg-in log-prod distribute-rgt-neg-in cbrt-unprod add-log-exp
2×rem-log-exp
1×distribute-rgt-in neg-mul-1 distribute-lft-in associate-*l* *-commutative
Counts
3 → 54
Calls
3 calls:
4.0ms
(log (* (cbrt (- x)) (cbrt -1)))
202.0ms
(* (* 3 x) (log (* (cbrt (- x)) (cbrt -1))))
1.0ms
(cbrt (- x))

series996.0ms

Counts
3 → 9
Calls
3 calls:
337.0ms
(log (* (cbrt (- x)) (cbrt -1)))
467.0ms
(* (* 3 x) (log (* (cbrt (- x)) (cbrt -1))))
192.0ms
(cbrt (- x))

simplify2.6s

Counts
63 → 63
Iterations

Useful iterations: 3 (630.0ms)

IterNodesCost
095633
1202602
2718507
34073498
done5000498

prune103.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes51.0ms

Accuracy

0% (0.3b 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

sample435.0ms

Algorithm
intervals
Results
160.0ms8041×body80valid
103.0ms8016×body80nan