Details

Time bar (total: 13.6s)

sample45.0ms

Algorithm
intervals
Results
22.0ms329×body80valid

simplify7.0s

Counts
1 → 1
Iterations

Useful iterations: 7 (396.0ms)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
13×add-cube-cbrt
7×add-log-exp
5×add-exp-log add-cbrt-cube associate-/l*
4×distribute-lft-out-- difference-of-squares
3×pow1 associate-/r*
2×+-commutative flip3-+ div-sub sum-log flip-+ associate-/l/
1×cbrt-undiv associate-+l- flip3-- frac-2neg div-exp clear-num flip-- div-inv distribute-lft-out
Counts
3 → 62
Calls
3 calls:
30.0ms
(/ (- x z) y)
81.0ms
(+ (/ (- x z) y) 0.25)
46.0ms
(+ 1.0 (* (+ (/ (- x z) y) 0.25) 4.0))

series113.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (- x z) y)
18.0ms
(+ (/ (- x z) y) 0.25)
44.0ms
(+ 1.0 (* (+ (/ (- x z) y) 0.25) 4.0))

simplify2.3s

Counts
71 → 71
Iterations

Useful iterations: 3 (991.0ms)

IterNodesCost
0126844
1318799
2861747
33308731
done5001731

prune251.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
55.0ms
(* 4.0 (/ (- x z) y))
16.0ms
(/ (- x z) y)

series117.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(* 4.0 (/ (- x z) y))
40.0ms
(/ (- x z) y)

simplify2.0s

Counts
82 → 82
Iterations

Useful iterations: 2 (174.0ms)

IterNodesCost
0114831
1270771
2796709
32948709
done5000709

prune225.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample1.3s

Algorithm
intervals
Results
811.0ms10110×body80valid