Details

Time bar (total: 14.4s)

sample15.0ms

Algorithm
intervals
Results
7.0ms345×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
185
295
done95

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x y) y)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
25.0ms
(* (* x y) y)

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(* (* x y) y)

simplify5.5s

Counts
21 → 21
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
036157
193152
2338122
3693122
4989121
52760121
done5000121

prune46.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
19.4b
(cbrt (* (* x y) y))
19.4b
(cbrt (* (* x y) y))
19.4b
(cbrt (* (* x y) y))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
43.0ms
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
13.0ms
(cbrt (* (* x y) y))
23.0ms
(cbrt (* (* x y) y))
25.0ms
(cbrt (* (* x y) y))

series557.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
127.0ms
(cbrt (* (* x y) y))
116.0ms
(cbrt (* (* x y) y))
145.0ms
(cbrt (* (* x y) y))

simplify2.8s

Counts
70 → 70
Iterations

Useful iterations: done (2.8s)

IterNodesCost
086846
1200763
2485668
31096567
42929545
done5001497

prune269.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
9.4b
(cbrt (* x y))
19.4b
(cbrt (* (* x y) y))
19.4b
(cbrt (* (* x y) y))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 38
Calls
4 calls:
1.0ms
(cbrt y)
4.0ms
(cbrt (* x y))
13.0ms
(cbrt (* (* x y) y))
23.0ms
(cbrt (* (* x y) y))

series642.0ms

Counts
4 → 12
Calls
4 calls:
259.0ms
(cbrt y)
91.0ms
(cbrt (* x y))
157.0ms
(cbrt (* (* x y) y))
134.0ms
(cbrt (* (* x y) y))

simplify1.6s

Counts
50 → 50
Iterations

Useful iterations: done (1.6s)

IterNodesCost
076385
1161375
2332334
3767293
41951283
done5001280

prune234.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
19.4b
(cbrt (* (* x y) y))
19.4b
(cbrt (* (* x y) y))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 40
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
31.0ms
(cbrt (* (* x y) y))
15.0ms
(cbrt (* (* x y) y))

series836.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(cbrt y)
294.0ms
(cbrt y)
150.0ms
(cbrt (* (* x y) y))
151.0ms
(cbrt (* (* x y) y))

simplify1.3s

Counts
52 → 52
Iterations

Useful iterations: done (1.3s)

IterNodesCost
059364
1122352
2242314
3516286
41249272
done5001270

prune253.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes4.0ms