Details

Time bar (total: 16.0s)

sample36.0ms

Algorithm
intervals
Results
19.0ms322×body80valid

simplify6.3s

Counts
1 → 1
Iterations

Useful iterations: 7 (462.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

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:
41.0ms
(+ (/ (- x z) y) 0.25)
31.0ms
(+ 1.0 (* (+ (/ (- x z) y) 0.25) 4.0))
16.0ms
(/ (- x z) y)

series110.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(+ (/ (- x z) y) 0.25)
45.0ms
(+ 1.0 (* (+ (/ (- x z) y) 0.25) 4.0))
42.0ms
(/ (- x z) y)

simplify2.5s

Counts
71 → 71
Iterations

Useful iterations: 3 (859.0ms)

IterNodesCost
0126844
1318799
2861747
33314731
done5000731

prune233.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite74.0ms

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:
53.0ms
(* 4.0 (/ (- x z) y))
18.0ms
(/ (- x z) y)

series92.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* 4.0 (/ (- x z) y))
30.0ms
(/ (- x z) y)

simplify2.3s

Counts
82 → 82
Iterations

Useful iterations: 2 (160.0ms)

IterNodesCost
0114831
1270771
2796709
32948709
done5000709

prune192.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×*-un-lft-identity
20×times-frac
12×associate-*r*
8×add-cube-cbrt distribute-lft-out-- difference-of-squares
4×pow1 add-exp-log associate-*r/ add-cbrt-cube div-inv add-log-exp
3×sub-neg associate-*l*
2×distribute-rgt-in flip3-- distribute-rgt-out-- distribute-lft-in frac-sub flip-- sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 58
Calls
2 calls:
143.0ms
(* 4.0 (- (/ x y) (/ z y)))
36.0ms
(- (/ x y) (/ z y))

series82.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* 4.0 (- (/ x y) (/ z y)))
29.0ms
(- (/ x y) (/ z y))

simplify2.3s

Counts
64 → 64
Iterations

Useful iterations: done (2.3s)

IterNodesCost
0101731
1235705
2536651
31602651
done5000617

prune204.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11211
done1211

end0.0ms

sample1.2s

Algorithm
intervals
Results
804.0ms10138×body80valid