Details

Time bar (total: 17.4s)

sample52.0ms

Algorithm
intervals
Results
30.0ms311×body80valid

simplify6.1s

Counts
1 → 1
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
089
1169
2427
3995
43865
517055
done50015

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.8b

localize5.0ms

Local error

Found 1 expressions with local error:

4.7b
(* (/ y z) x)

rewrite16.0ms

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:
15.0ms
(* (/ y z) x)

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* (/ y z) x)

simplify6.5s

Counts
35 → 35
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
068261
1153256
2423224
31176224
43630224
done5000224

prune128.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

5.2b
(* y (/ x z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
21.0ms
(* y (/ x z))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* y (/ x z))

simplify4.3s

Counts
35 → 35
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
070277
1163260
2447230
31167230
42967230
done5000230

prune127.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.6b
(* (* y (* (cbrt x) (cbrt x))) (/ (cbrt x) z))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
pow-prod-down
add-log-exp
cbrt-undiv pow1/3 div-exp
associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 80
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
110.0ms
(* (* y (* (cbrt x) (cbrt x))) (/ (cbrt x) z))

series0.0ms