Details

Time bar (total: 25.7s)

sample16.0ms

Algorithm
intervals
Results
5.0ms258×body80valid
3.0ms269×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))

series172.0ms

Counts
1 → 3
Calls
1 calls:
172.0ms
(* x (log x))

simplify14.1s

Counts
28 → 28
Iterations

Useful iterations: 3 (124.0ms)

IterNodesCost
053203
195194
2329170
3840163
42747163
done5000163

prune43.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 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)
9.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
351.0ms
(* (* 2 (log (cbrt x))) x)
333.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
167.0ms
(cbrt x)
174.0ms
(cbrt x)

simplify543.0ms

Counts
75 → 75
Iterations

Useful iterations: done (541.0ms)

IterNodesCost
0119811
1299733
21068545
done5000542

prune193.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (cbrt x)) (sqrt (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×sqrt-prod
27×cbrt-prod
19×pow1 add-cube-cbrt *-un-lft-identity
14×sqrt-pow1
11×swap-sqr
9×pow1/3 associate-*r* associate-*l* unswap-sqr
8×pow1/2
6×add-exp-log pow-prod-up add-cbrt-cube
4×pow-prod-down pow-sqr add-log-exp
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
11.0ms
(* (sqrt (cbrt x)) (sqrt (cbrt x)))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series711.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(* (sqrt (cbrt x)) (sqrt (cbrt x)))
175.0ms
(cbrt x)
175.0ms
(cbrt x)
180.0ms
(cbrt x)

simplify3.4s

Counts
111 → 111
Iterations

Useful iterations: 3 (632.0ms)

IterNodesCost
083910
1136584
2509523
32711499
done5000499

prune250.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

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))

rewrite21.0ms

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)))
15.0ms
(* (* 3 x) (log (* (cbrt (- x)) (cbrt -1))))
1.0ms
(cbrt (- x))

series1.0s

Counts
3 → 9
Calls
3 calls:
345.0ms
(log (* (cbrt (- x)) (cbrt -1)))
471.0ms
(* (* 3 x) (log (* (cbrt (- x)) (cbrt -1))))
187.0ms
(cbrt (- x))

simplify3.6s

Counts
63 → 63
Iterations

Useful iterations: 3 (444.0ms)

IterNodesCost
095633
1207602
2790509
34659498
done5000498

prune113.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes54.0ms

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

sample424.0ms

Algorithm
intervals
Results
155.0ms8032×body80valid
104.0ms8146×body80nan