Details

Time bar (total: 9.0s)

sample25.0ms

Algorithm
intervals
Results
12.0ms350×body80valid

simplify5.5s

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: 8.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
9.0b
(/ (* y (- z x)) t)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
add-cube-cbrt
pow1 associate-*r* add-log-exp
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/
+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
10.0ms
(+ x (/ (* y (- z x)) t))
31.0ms
(* y (- z x))
17.0ms
(/ (* y (- z x)) t)

series139.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(+ x (/ (* y (- z x)) t))
43.0ms
(* y (- z x))
54.0ms
(/ (* y (- z x)) t)

simplify3.0s

Counts
70 → 70
Iterations

Useful iterations: 2 (211.0ms)

IterNodesCost
0113722
1290679
2894589
34328589
done5000589

prune183.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
6.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite113.0ms

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:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
106.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series0.0ms