Details

Time bar (total: 10.1s)

sample23.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done12
412
311
29
16
04

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity add-log-exp
3×sum-log distribute-lft-out
1×add-sqr-sqrt pow1 +-commutative associate-+l+ flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
Counts
1 → 15
Calls
1 calls:
51.0ms
(+ (+ x y) x)

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(+ (+ x y) x)

simplify959.0ms

Counts
18 → 18
Iterations
IterNodes
done5000
31085
2246
181
032

prune81.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite264.0ms

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×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 105
Calls
4 calls:
180.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
24.0ms
(cbrt (+ (+ x y) x))
25.0ms
(cbrt (+ (+ x y) x))
27.0ms
(cbrt (+ (+ x y) x))

series1.2s

Counts
4 → 12
Calls
4 calls:
364.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
267.0ms
(cbrt (+ (+ x y) x))
308.0ms
(cbrt (+ (+ x y) x))
303.0ms
(cbrt (+ (+ x y) x))

simplify1.1s

Counts
117 → 117
Iterations
IterNodes
done5000
21210
1310
0130

prune504.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

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))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
20×cbrt-prod
12×distribute-lft-out
8×add-sqr-sqrt cbrt-div add-cube-cbrt
4×pow1 flip3-+ add-cbrt-cube pow1/3 add-exp-log flip-+ add-log-exp
Counts
4 → 60
Calls
4 calls:
16.0ms
(cbrt (+ (+ x y) x))
14.0ms
(cbrt (+ (+ x y) x))
23.0ms
(cbrt (+ (+ x y) x))
25.0ms
(cbrt (+ (+ x y) x))

series1.2s

Counts
4 → 12
Calls
4 calls:
316.0ms
(cbrt (+ (+ x y) x))
306.0ms
(cbrt (+ (+ x y) x))
269.0ms
(cbrt (+ (+ x y) x))
261.0ms
(cbrt (+ (+ x y) x))

simplify2.0s

Counts
72 → 72
Iterations
IterNodes
done5001
33292
2523
1150
065

prune446.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite224.0ms

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×sum-log add-cbrt-cube add-exp-log
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-+l+ associate-*l/ associate-*r/
1×pow2 rem-sqrt-square rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 116
Calls
4 calls:
26.0ms
(sqrt (+ (+ x y) x))
23.0ms
(+ (+ x y) x)
22.0ms
(+ (+ x y) x)
148.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series144.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(sqrt (+ (+ x y) x))
26.0ms
(+ (+ x y) x)
31.0ms
(+ (+ x y) x)
40.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

simplify935.0ms

Counts
128 → 128
Iterations
IterNodes
done5000
21148
1275
0119

prune426.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

simplify1.0ms

Iterations
IterNodes
done7
17
05

end0.0ms

sample424.0ms

Algorithm
intervals
Results
186.0ms8007×body80valid