Details

Time bar (total: 14.2s)

sample23.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
175
2105
3125
4135
done135

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite52.0ms

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:
52.0ms
(+ (+ x y) x)

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(+ (+ x y) x)

simplify2.9s

Counts
18 → 18
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
032145
180140
2239130
3813122
43728116
done5000116

prune37.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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

rewrite269.0ms

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:
31.0ms
(cbrt (+ (+ x y) x))
18.0ms
(cbrt (+ (+ x y) x))
17.0ms
(cbrt (+ (+ x y) x))
195.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))

series1.2s

Counts
4 → 12
Calls
4 calls:
288.0ms
(cbrt (+ (+ x y) x))
290.0ms
(cbrt (+ (+ x y) x))
281.0ms
(cbrt (+ (+ x y) x))
307.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))

simplify1.8s

Counts
117 → 117
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01301868
12801710
27231620
319951407
done50001321

prune307.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize41.0ms

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)))
0.8b
(pow (cbrt (cbrt (+ (+ x y) x))) 4)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-prod
34×*-un-lft-identity
14×add-sqr-sqrt add-cube-cbrt
12×cbrt-div distribute-lft-out
11×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow flip3-+ flip-+
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 80
Calls
4 calls:
16.0ms
(cbrt (cbrt (+ (+ x y) x)))
23.0ms
(cbrt (cbrt (+ (+ x y) x)))
17.0ms
(cbrt (cbrt (+ (+ x y) x)))
35.0ms
(pow (cbrt (cbrt (+ (+ x y) x))) 4)

series1.9s

Counts
4 → 12
Calls
4 calls:
402.0ms
(cbrt (cbrt (+ (+ x y) x)))
412.0ms
(cbrt (cbrt (+ (+ x y) x)))
419.0ms
(cbrt (cbrt (+ (+ x y) x)))
641.0ms
(pow (cbrt (cbrt (+ (+ x y) x))) 4)

simplify1.5s

Counts
92 → 92
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01331357
12991242
27161176
319801133
done50001064

prune425.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ x y) x))
0.0b
(+ (+ x y) x)
0.0b
(+ (+ x y) x)
0.3b
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

rewrite359.0ms

Algorithm
rewrite-expression-head
Rules
72×*-un-lft-identity
43×sqrt-prod
33×distribute-lft-out
26×add-sqr-sqrt
20×pow1
16×swap-sqr
14×sqrt-div add-log-exp
13×add-cube-cbrt
9×sqrt-pow1 flip3-+ pow1/2 flip-+
8×associate-*r* associate-*l*
6×add-exp-log sum-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-+l+ associate-*r/ associate-*l/
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 116
Calls
4 calls:
52.0ms
(sqrt (+ (+ x y) x))
46.0ms
(+ (+ x y) x)
31.0ms
(+ (+ x y) x)
226.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series169.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(sqrt (+ (+ x y) x))
30.0ms
(+ (+ x y) x)
25.0ms
(+ (+ x y) x)
46.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

simplify2.0s

Counts
128 → 128
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01191813
12431227
26801143
321531053
done5000989

prune293.0ms

Pruning

4 alts after pruning (0 fresh and 4 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
045
165
done65

end0.0ms

sample586.0ms

Algorithm
intervals
Results
258.0ms8004×body80valid