Details

Time bar (total: 13.8s)

sample25.0ms

Algorithm
intervals
Results
12.0ms345×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
185
295
done95

prune3.0ms

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)

rewrite45.0ms

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×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
43.0ms
(* (* x y) y)

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* (* x y) y)

simplify4.2s

Counts
23 → 23
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
038169
195164
2337134
3653134
4945133
52719133
done5000133

prune83.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

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))

rewrite108.0ms

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×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u 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 → 66
Calls
4 calls:
43.0ms
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
26.0ms
(cbrt (* (* x y) y))
21.0ms
(cbrt (* (* x y) y))
17.0ms
(cbrt (* (* x y) y))

series550.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
124.0ms
(cbrt (* (* x y) y))
135.0ms
(cbrt (* (* x y) y))
109.0ms
(cbrt (* (* x y) y))

simplify3.0s

Counts
78 → 78
Iterations

Useful iterations: done (3.0s)

IterNodesCost
090916
1208827
2523732
31192629
43062607
done5001555

prune314.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 46
Calls
4 calls:
1.0ms
(cbrt y)
4.0ms
(cbrt (* x y))
13.0ms
(cbrt (* (* x y) y))
18.0ms
(cbrt (* (* x y) y))

series656.0ms

Counts
4 → 12
Calls
4 calls:
318.0ms
(cbrt y)
85.0ms
(cbrt (* x y))
141.0ms
(cbrt (* (* x y) y))
111.0ms
(cbrt (* (* x y) y))

simplify1.9s

Counts
58 → 58
Iterations

Useful iterations: done (1.9s)

IterNodesCost
082429
1168417
2356374
3813337
42020327
done5000324

prune212.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

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))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 48
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
24.0ms
(cbrt (* (* x y) y))
13.0ms
(cbrt (* (* x y) y))

series762.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(cbrt y)
270.0ms
(cbrt y)
101.0ms
(cbrt (* (* x y) y))
137.0ms
(cbrt (* (* x y) y))

simplify1.4s

Counts
60 → 60
Iterations

Useful iterations: done (1.4s)

IterNodesCost
063404
1127390
2258350
3559326
41322312
done5001310

prune315.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes2.0ms