Details

Time bar (total: 7.5s)

sample36.0ms

Algorithm
intervals
Results
20.0ms322×body80valid

simplify54.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22912
33812
44512
55112
65312
done5312

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.4b
(* (/ x y) z)

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 79
Calls
3 calls:
19.0ms
(/ (+ x 4.0) y)
59.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
16.0ms
(* (/ x y) z)

series118.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (+ x 4.0) y)
55.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
27.0ms
(* (/ x y) z)

simplify2.7s

Counts
88 → 88
Iterations

Useful iterations: 2 (193.0ms)

IterNodesCost
0142904
1340859
2979785
32991785
done5001785

prune369.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
0.1b
(/ 1 (/ y (+ x 4.0)))
3.4b
(* (/ x y) z)

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
112×times-frac
86×*-un-lft-identity
67×add-sqr-sqrt
62×add-cube-cbrt
19×add-exp-log
18×associate-/r*
13×associate-*l* add-cbrt-cube
12×distribute-lft-out
9×associate-/r/
8×div-exp
6×pow1 div-inv
5×add-log-exp
4×cbrt-undiv flip3-+ flip-+
3×associate-*r* associate-/l*
2×rec-exp 1-exp associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×sub-neg flip3-- pow-flip frac-2neg diff-log pow-prod-down clear-num *-commutative frac-sub flip-- inv-pow
Counts
3 → 141
Calls
3 calls:
134.0ms
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
19.0ms
(/ 1 (/ y (+ x 4.0)))
21.0ms
(* (/ x y) z)

series116.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
27.0ms
(/ 1 (/ y (+ x 4.0)))
32.0ms
(* (/ x y) z)

simplify3.3s

Counts
150 → 150
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
02472065
15681747
214091504
346311472
done50011472

prune350.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

3.4b
(* (/ x y) z)
12.5b
(cbrt (* (/ x y) z))
12.5b
(cbrt (* (/ x y) z))
12.5b
(cbrt (* (/ x y) z))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*l/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
30.0ms
(* (/ x y) z)
6.0ms
(cbrt (* (/ x y) z))
6.0ms
(cbrt (* (/ x y) z))
6.0ms
(cbrt (* (/ x y) z))

series36.0ms