Details

Time bar (total: 7.5s)

sample14.0ms

Algorithm
intervals
Results
6.0ms334×body80valid

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2237
3387
4437
done437

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* x y))
0.1b
(* x (- 1.0 (* x y)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
2.0ms
(- 1.0 (* x y))
7.0ms
(* x (- 1.0 (* x y)))

series69.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(- 1.0 (* x y))
43.0ms
(* x (- 1.0 (* x y)))

simplify1.7s

Counts
42 → 42
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
059405
1141397
2535353
32564353
done5000353

prune77.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* x (- (* x y))))
0.2b
(* x (- (* x y)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*l* distribute-rgt-neg-out
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 35
Calls
2 calls:
3.0ms
(+ (* 1.0 x) (* x (- (* x y))))
5.0ms
(* x (- (* x y)))

series64.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ (* 1.0 x) (* x (- (* x y))))
21.0ms
(* x (- (* x y)))

simplify505.0ms

Counts
41 → 41
Iterations

Useful iterations: done (504.0ms)

IterNodesCost
064425
1181384
2903324
done5000320

prune79.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series703.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (cbrt x) (cbrt x))
169.0ms
(cbrt x)
172.0ms
(cbrt x)
169.0ms
(cbrt x)

simplify1.5s

Counts
85 → 85
Iterations

Useful iterations: 3 (290.0ms)

IterNodesCost
061524
1118465
2446397
31994379
done5000379

prune208.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
18.0b
(cbrt (* x (- (* x y))))
18.0b
(cbrt (* x (- (* x y))))
18.0b
(cbrt (* x (- (* x y))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
8.0ms
(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
5.0ms
(cbrt (* x (- (* x y))))
2.0ms
(cbrt (* x (- (* x y))))
2.0ms
(cbrt (* x (- (* x y))))

series416.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
96.0ms
(cbrt (* x (- (* x y))))
96.0ms
(cbrt (* x (- (* x y))))
96.0ms
(cbrt (* x (- (* x y))))

simplify1.4s

Counts
70 → 70
Iterations

Useful iterations: done (1.4s)

IterNodesCost
089954
1213863
2654750
32593645
done5000640

prune204.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes60.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11810
22210
32310
done2310

end0.0ms

sample344.0ms

Algorithm
intervals
Results
182.0ms10745×body80valid