Details

Time bar (total: 17.0s)

sample32.0ms

Algorithm
intervals
Results
16.0ms311×body80valid

simplify5.8s

Counts
1 → 1
Iterations

Useful iterations: 3 (19.0ms)

IterNodesCost
089
1169
2427
3995
43865
517055
done50015

prune6.0ms

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)

rewrite22.0ms

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 expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
20.0ms
(* (/ y z) x)

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(* (/ y z) x)

simplify6.2s

Counts
37 → 37
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
070273
1155268
2427236
31211236
43623236
done5000236

prune146.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

5.2b
(* y (/ x z))

rewrite24.0ms

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 expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
23.0ms
(* y (/ x z))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* y (/ x z))

simplify4.4s

Counts
37 → 37
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
072289
1165272
2450242
31179242
43001242
done5000242

prune130.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize12.0ms

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))

rewrite123.0ms

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
expm1-log1p-u log1p-expm1-u add-log-exp
cbrt-undiv pow1/3 div-exp
associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
118.0ms
(* (* y (* (cbrt x) (cbrt x))) (/ (cbrt x) z))

series0.0ms