Details

Time bar (total: 10.5s)

sample9.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
165
295
3115
4125
done125

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite13.0ms

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:
13.0ms
(+ (+ x y) x)

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(+ (+ x y) x)

simplify1.7s

Counts
18 → 18
Iterations

Useful iterations: 4 (573.0ms)

IterNodesCost
032145
181140
2203130
3604122
42418116
done5000116

prune23.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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)) (cbrt (+ (+ x y) x)))

rewrite101.0ms

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:
8.0ms
(cbrt (+ (+ x y) x))
8.0ms
(cbrt (+ (+ x y) x))
8.0ms
(cbrt (+ (+ x y) x))
70.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))

series864.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(cbrt (+ (+ x y) x))
203.0ms
(cbrt (+ (+ x y) x))
206.0ms
(cbrt (+ (+ x y) x))
247.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))

simplify976.0ms

Counts
117 → 117
Iterations

Useful iterations: 3 (376.0ms)

IterNodesCost
01301868
12801710
27551620
322031407
done50001407

prune235.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
77×*-un-lft-identity
75×cbrt-prod
33×distribute-lft-out
26×add-sqr-sqrt
24×cbrt-div
18×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 → 114
Calls
4 calls:
69.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
8.0ms
(cbrt (cbrt (+ (+ x y) x)))
8.0ms
(cbrt (cbrt (+ (+ x y) x)))
12.0ms
(cbrt (cbrt (+ (+ x y) x)))

series1.1s

Counts
4 → 12
Calls
4 calls:
256.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
280.0ms
(cbrt (cbrt (+ (+ x y) x)))
282.0ms
(cbrt (cbrt (+ (+ x y) x)))
276.0ms
(cbrt (cbrt (+ (+ x y) x)))

simplify1.2s

Counts
126 → 126
Iterations

Useful iterations: 3 (590.0ms)

IterNodesCost
01482093
13031929
27861833
322581626
done50001626

prune288.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-prod
32×*-un-lft-identity
16×cbrt-div
12×add-sqr-sqrt add-cube-cbrt distribute-lft-out
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 72
Calls
4 calls:
8.0ms
(cbrt (cbrt (+ (+ x y) x)))
8.0ms
(cbrt (cbrt (+ (+ x y) x)))
9.0ms
(cbrt (cbrt (+ (+ x y) x)))
9.0ms
(cbrt (cbrt (+ (+ x y) x)))

series1.1s

Counts
4 → 12
Calls
4 calls:
285.0ms
(cbrt (cbrt (+ (+ x y) x)))
280.0ms
(cbrt (cbrt (+ (+ x y) x)))
275.0ms
(cbrt (cbrt (+ (+ x y) x)))
278.0ms
(cbrt (cbrt (+ (+ x y) x)))

simplify2.1s

Counts
84 → 84
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
0801208
11681164
24021104
310941060
43943988
done5001988

prune275.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes56.0ms

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

sample223.0ms

Algorithm
intervals
Results
110.0ms8005×body80valid