Details

Time bar (total: 6.5s)

sample27.0ms

Algorithm
intervals
Results
8.0ms256×pre80true
7.0ms256×body80valid

simplify644.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
049
1137
2267
3437
41317
55627
done50007

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (* x x)) (* x x))
0.1b
(* x (* x x))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
7×add-exp-log add-cbrt-cube
5×pow-prod-up
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative pow2 distribute-lft1-in flip3-+ pow-plus cube-unmult associate-*r* sum-log pow-sqr *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 37
Calls
2 calls:
30.0ms
(+ (* x (* x x)) (* x x))
31.0ms
(* x (* x x))

series166.0ms

Counts
2 → 6
Calls
2 calls:
109.0ms
(+ (* x (* x x)) (* x x))
57.0ms
(* x (* x x))

simplify1.7s

Counts
43 → 43
Iterations

Useful iterations: 2 (357.0ms)

IterNodesCost
057384
1191260
21407227
done5000227

prune135.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (+ (* x x) x))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt associate-*r*
4×*-un-lft-identity
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-rgt-out distribute-lft-in distribute-lft1-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
44.0ms
(* x (+ (* x x) x))

series98.0ms

Counts
1 → 3
Calls
1 calls:
98.0ms
(* x (+ (* x x) x))

simplify952.0ms

Counts
27 → 27
Iterations

Useful iterations: 2 (247.0ms)

IterNodesCost
044255
1164246
21263216
done5000216

prune101.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (+ x 1) (* x x))) (cbrt (* (+ x 1) (* x x))))
32.0b
(cbrt (* (+ x 1) (* x x)))
32.0b
(cbrt (* (+ x 1) (* x x)))
32.0b
(cbrt (* (+ x 1) (* x x)))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
66.0ms
(* (cbrt (* (+ x 1) (* x x))) (cbrt (* (+ x 1) (* x x))))
25.0ms
(cbrt (* (+ x 1) (* x x)))
25.0ms
(cbrt (* (+ x 1) (* x x)))
25.0ms
(cbrt (* (+ x 1) (* x x)))

series266.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (cbrt (* (+ x 1) (* x x))) (cbrt (* (+ x 1) (* x x))))
66.0ms
(cbrt (* (+ x 1) (* x x)))
63.0ms
(cbrt (* (+ x 1) (* x x)))
71.0ms
(cbrt (* (+ x 1) (* x x)))

simplify974.0ms

Counts
84 → 84
Iterations

Useful iterations: done (970.0ms)

IterNodesCost
01221515
13241346
213721210
done50001127

prune453.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049
169
done69

end0.0ms

sample619.0ms

Algorithm
intervals
Results
289.0ms8000×body80valid
115.0ms8000×pre80true