Details

Time bar (total: 6.7s)

sample36.0ms

Algorithm
intervals
Results
19.0ms322×body80valid

simplify80.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11612
22912
34212
44912
55512
66012
76212
done6212

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize22.0ms

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)

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-exp-log add-cbrt-cube distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-*r* associate-*l/ associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod 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 → 117
Calls
3 calls:
39.0ms
(/ (+ x 4.0) y)
107.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
30.0ms
(* (/ x y) z)

series167.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (+ x 4.0) y)
86.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
44.0ms
(* (/ x y) z)

simplify2.7s

Counts
126 → 126
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01651542
13981481
211521348
337461275
done50001256

prune480.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
292×times-frac
208×*-un-lft-identity
153×add-sqr-sqrt
148×add-cube-cbrt
59×fma-neg prod-diff
30×distribute-lft-out
23×associate-/r/
19×add-exp-log
18×associate-/r*
14×div-inv
13×associate-*l* add-cbrt-cube
10×flip3-+ flip-+
8×div-exp
6×pow1
5×add-log-exp
4×cbrt-undiv
3×expm1-log1p-u associate-*r* log1p-expm1-u 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 → 265
Calls
3 calls:
138.0ms
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
33.0ms
(/ 1 (/ y (+ x 4.0)))
36.0ms
(* (/ x y) z)

series123.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
34.0ms
(/ 1 (/ y (+ x 4.0)))
26.0ms
(* (/ x y) z)

simplify1.7s

Counts
274 → 274
Iterations

Useful iterations: done (1.7s)

IterNodesCost
03064656
17334103
217283494
done50013296

prune754.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

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))

rewrite68.0ms

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×expm1-log1p-u associate-*l/ log1p-expm1-u 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 → 70
Calls
4 calls:
20.0ms
(* (/ x y) z)
21.0ms
(cbrt (* (/ x y) z))
12.0ms
(cbrt (* (/ x y) z))
12.0ms
(cbrt (* (/ x y) z))

series26.0ms