Details

Time bar (total: 18.2s)

sample41.0ms

Algorithm
intervals
Results
21.0ms311×body80valid

simplify6.6s

Counts
1 → 1
Iterations

Useful iterations: 3 (18.0ms)

IterNodesCost
089
1169
2427
3995
43865
517055
done50015

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.8b

localize6.0ms

Local error

Found 1 expressions with local error:

4.7b
(* (/ y z) x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×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:
19.0ms
(* (/ y z) x)

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(* (/ y z) x)

simplify6.4s

Counts
37 → 37
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
070273
1155268
2427236
31211236
43623236
done5000236

prune163.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

5.2b
(* y (/ x z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×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:
16.0ms
(* y (/ x z))

series34.0ms

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

simplify4.5s

Counts
37 → 37
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
072289
1165272
2450242
31179242
43001242
done5000242

prune108.0ms

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))

rewrite109.0ms

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
6×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
98.0ms
(* (* y (* (cbrt x) (cbrt x))) (/ (cbrt x) z))

series1.0ms