Details

Time bar (total: 12.2s)

sample24.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
175
2105
3125
4135
done135

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite28.0ms

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:
28.0ms
(+ (+ x y) x)

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(+ (+ x y) x)

simplify798.0ms

Counts
18 → 18
Iterations

Useful iterations: done (798.0ms)

IterNodesCost
032145
181140
2246130
31089122
done5001116

prune43.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite220.0ms

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:
165.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
16.0ms
(cbrt (+ (+ x y) x))
17.0ms
(cbrt (+ (+ x y) x))
16.0ms
(cbrt (+ (+ x y) x))

series1.2s

Counts
4 → 12
Calls
4 calls:
373.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
294.0ms
(cbrt (+ (+ x y) x))
245.0ms
(cbrt (+ (+ x y) x))
283.0ms
(cbrt (+ (+ x y) x))

simplify651.0ms

Counts
117 → 117
Iterations

Useful iterations: done (647.0ms)

IterNodesCost
01301868
13101710
212101620
done50001535

prune503.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

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:
16.0ms
(cbrt (+ (+ x y) x))
17.0ms
(cbrt (+ (+ x y) x))
20.0ms
(cbrt (+ (+ x y) x))
33.0ms
(cbrt (+ (+ x y) x))

series1.1s

Counts
4 → 12
Calls
4 calls:
297.0ms
(cbrt (+ (+ x y) x))
271.0ms
(cbrt (+ (+ x y) x))
278.0ms
(cbrt (+ (+ x y) x))
276.0ms
(cbrt (+ (+ x y) x))

simplify2.1s

Counts
72 → 72
Iterations

Useful iterations: done (2.1s)

IterNodesCost
065908
1151872
2524820
33283776
done5000728

prune345.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (sqrt (+ (+ x y) x)))
0.5b
(cbrt (+ (+ x y) x))
0.5b
(cbrt (+ (+ x y) x))
0.5b
(cbrt (+ (+ x y) x))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
23×cbrt-prod
12×distribute-lft-out
9×add-sqr-sqrt add-cube-cbrt
8×cbrt-div
5×sqrt-prod
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
2×sqrt-div
Counts
4 → 63
Calls
4 calls:
19.0ms
(cbrt (sqrt (+ (+ x y) x)))
20.0ms
(cbrt (+ (+ x y) x))
17.0ms
(cbrt (+ (+ x y) x))
16.0ms
(cbrt (+ (+ x y) x))

series981.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt (sqrt (+ (+ x y) x)))
280.0ms
(cbrt (+ (+ x y) x))
266.0ms
(cbrt (+ (+ x y) x))
254.0ms
(cbrt (+ (+ x y) x))

simplify2.8s

Counts
75 → 75
Iterations

Useful iterations: done (2.8s)

IterNodesCost
0114994
1252946
2845886
34973842
done5000841

prune489.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes149.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

end0.0ms

sample485.0ms

Algorithm
intervals
Results
164.0ms8004×body80valid