Details

Time bar (total: 22.3s)

sample24.0ms

Algorithm
intervals
Results
12.0ms304×body80valid

simplify5.8s

Counts
1 → 1
Iterations

Useful iterations: 3 (23.0ms)

IterNodesCost
089
1169
2427
3995
43865
517055
done50015

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.6b

localize4.0ms

Local error

Found 1 expressions with local error:

7.4b
(* (/ y z) x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*r*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
22.0ms
(* (/ y z) x)

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(* (/ y z) x)

simplify7.0s

Counts
35 → 35
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
068261
1153256
2423224
31176224
43630224
done5000224

prune96.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.5b
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (cbrt y) (cbrt z)) x))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
pow1 cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l*
add-log-exp
pow1/3 pow-prod-down associate-*l/
frac-times times-frac associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
121.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (cbrt y) (cbrt z)) x))

series919.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt z)
325.0ms
(cbrt z)
292.0ms
(cbrt z)
38.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (cbrt y) (cbrt z)) x))

simplify1.8s

Counts
94 → 94
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01201600
13481534
21840776
done5001505

prune278.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

4.6b
(/ (* x y) z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
cbrt-undiv div-exp
pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
15.0ms
(/ (* x y) z)

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ (* x y) z)

simplify3.5s

Counts
24 → 24
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
048186
1110179
2384149
31757149
done5000149

prune60.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

7.5b
(/ x (/ z y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/r*
add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp associate-/l*
pow1 frac-2neg clear-num associate-/r/ add-log-exp
Counts
1 → 70
Calls
1 calls:
9.0ms
(/ x (/ z y))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ x (/ z y))

simplify2.2s

Counts
73 → 73
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
0150880
1311813
2943773
32755771
done5000771

prune276.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes2.0ms