Details

Time bar (total: 11.6s)

sample34.0ms

Algorithm
intervals
Results
15.0ms306×body80valid

simplify6.1s

Counts
1 → 1
Iterations

Useful iterations: 7 (442.0ms)

IterNodesCost
01213
12213
24613
310913
423213
536413
648513
764811
8108111
9245111
done500111

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x z) y)
0.0b
(+ 1.0 (* (+ (/ (- x z) y) 0.25) 4.0))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
associate-/l*
add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
associate-/r*
pow1 associate-/l/
cbrt-undiv +-commutative flip3-- frac-2neg flip3-+ div-sub div-exp clear-num sum-log flip-- flip-+ div-inv
Counts
2 → 49
Calls
2 calls:
28.0ms
(/ (- x z) y)
27.0ms
(+ 1.0 (* (+ (/ (- x z) y) 0.25) 4.0))

series65.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (- x z) y)
36.0ms
(+ 1.0 (* (+ (/ (- x z) y) 0.25) 4.0))

simplify1.4s

Counts
55 → 55
Iterations

Useful iterations: 3 (573.0ms)

IterNodesCost
0105660
1255628
2691586
32479574
done5000574

prune195.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x z) y)
0.0b
(* 4.0 (/ (- x z) y))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
associate-/l*
pow1
associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
24.0ms
(/ (- x z) y)
39.0ms
(* 4.0 (/ (- x z) y))

series115.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- x z) y)
66.0ms
(* 4.0 (/ (- x z) y))

simplify2.1s

Counts
82 → 82
Iterations

Useful iterations: 2 (155.0ms)

IterNodesCost
0114831
1270771
2791709
32929709
done5000709

prune244.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample1.2s

Algorithm
intervals
Results
744.0ms10131×body80valid