Details

Time bar (total: 8.9s)

sample26.0ms

Algorithm
intervals
Results
12.0ms339×body80valid

simplify5.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2259
3459
4849
51129
61309
71479
81889
92459
102749
113079
123439
133689
143849
154719
165629
178119
1811389
1915739
2016559
2116569
done16569

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z x))
6.9b
(/ (* y (- z x)) t)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
add-exp-log add-cbrt-cube
*-un-lft-identity
add-cube-cbrt
associate-*r*
pow1 associate-*r/
times-frac associate-*l* associate-/r*
cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
23.0ms
(* y (- z x))
41.0ms
(/ (* y (- z x)) t)

series140.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* y (- z x))
92.0ms
(/ (* y (- z x)) t)

simplify2.5s

Counts
55 → 55
Iterations

Useful iterations: 2 (128.0ms)

IterNodesCost
094493
1231473
2711399
33396399
done5001399

prune168.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
5.4b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
prod-exp cbrt-unprod
cbrt-undiv div-exp associate-*l*
pow1 distribute-lft-out-- difference-of-squares unswap-sqr
add-log-exp
pow1/3
div-inv
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
2.0ms
(cbrt t)
2.0ms
(cbrt t)
2.0ms
(cbrt t)
112.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series1.0ms