Details

Time bar (total: 7.5s)

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
175
2105
3125
4135
done135

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity add-log-exp
3×sum-log distribute-lft-out
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
Counts
1 → 15
Calls
1 calls:
53.0ms
(+ (+ x y) x)

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(+ (+ x y) x)

simplify1.2s

Counts
18 → 18
Iterations

Useful iterations: done (1.2s)

IterNodesCost
032145
181140
2246130
31089122
done5001116

prune41.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
0.6b
(cbrt (+ (+ x y) x))
0.6b
(cbrt (+ (+ x y) x))
0.6b
(cbrt (+ (+ x y) x))

rewrite317.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
33×distribute-lft-out
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1
9×flip3-+ pow1/3 flip-+
8×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 105
Calls
4 calls:
217.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
29.0ms
(cbrt (+ (+ x y) x))
31.0ms
(cbrt (+ (+ x y) x))
37.0ms
(cbrt (+ (+ x y) x))

series1.1s

Counts
4 → 12
Calls
4 calls:
279.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
214.0ms
(cbrt (+ (+ x y) x))
276.0ms
(cbrt (+ (+ x y) x))
296.0ms
(cbrt (+ (+ x y) x))

simplify691.0ms

Counts
117 → 117
Iterations

Useful iterations: done (684.0ms)

IterNodesCost
01301868
13101710
212101620
done50001535

prune306.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (+ x y) x))
0.6b
(cbrt (+ (+ x y) x))
0.6b
(cbrt (+ (+ x y) x))
0.6b
(cbrt (+ (+ x y) x))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
20×cbrt-prod
12×distribute-lft-out
8×add-sqr-sqrt add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 60
Calls
4 calls:
25.0ms
(cbrt (+ (+ x y) x))
33.0ms
(cbrt (+ (+ x y) x))
29.0ms
(cbrt (+ (+ x y) x))
18.0ms
(cbrt (+ (+ x y) x))

series1.1s

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt (+ (+ x y) x))
277.0ms
(cbrt (+ (+ x y) x))
273.0ms
(cbrt (+ (+ x y) x))
258.0ms
(cbrt (+ (+ x y) x))

simplify1.7s

Counts
72 → 72
Iterations

Useful iterations: done (1.7s)

IterNodesCost
065908
1151872
2524820
33283776
done5000728

prune271.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes39.0ms

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
045
165
done65

end0.0ms

sample533.0ms

Algorithm
intervals
Results
192.0ms8002×body80valid