Details

Time bar (total: 4.4s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2147
3177
4187
done187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize4.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ (* x 100.0) (+ x y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×add-sqr-sqrt add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out
1×pow1 frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
6.0ms
(/ (* x 100.0) (+ x y))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(/ (* x 100.0) (+ x y))

simplify805.0ms

Counts
28 → 28
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
058271
1162258
2562218
32444218
done5000218

prune45.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 100.0 (+ x y))
0.1b
(* x (/ 100.0 (+ x y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/r* associate-/r/
3×associate-*l* associate-/l*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 70
Calls
2 calls:
5.0ms
(/ 100.0 (+ x y))
15.0ms
(* x (/ 100.0 (+ x y)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ 100.0 (+ x y))
51.0ms
(* x (/ 100.0 (+ x y)))

simplify711.0ms

Counts
76 → 76
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
096707
1232661
2616603
31804603
done5000603

prune115.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) 100.0)
0.2b
(/ x (/ (+ x y) 100.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×associate-/l*
6×div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×flip3-+ associate-/r/ flip-+
Counts
2 → 115
Calls
2 calls:
8.0ms
(/ (+ x y) 100.0)
8.0ms
(/ x (/ (+ x y) 100.0))

series79.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (+ x y) 100.0)
52.0ms
(/ x (/ (+ x y) 100.0))

simplify1.7s

Counts
121 → 121
Iterations

Useful iterations: 3 (429.0ms)

IterNodesCost
01691606
13821484
212291412
347701410
done50001410

prune198.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x y))
0.1b
(* x (* 100.0 (/ 1 (+ x y))))
0.3b
(* 100.0 (/ 1 (+ x y)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
31×add-exp-log
29×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
19×associate-*r* add-cbrt-cube
13×prod-exp
11×pow1
7×cbrt-unprod distribute-lft-out
6×div-exp associate-*l*
4×associate-*r/ pow-prod-down associate-/r* associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×flip3-+ un-div-inv *-commutative flip-+ div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 102
Calls
3 calls:
8.0ms
(/ 1 (+ x y))
17.0ms
(* x (* 100.0 (/ 1 (+ x y))))
16.0ms
(* 100.0 (/ 1 (+ x y)))

series127.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (+ x y))
52.0ms
(* x (* 100.0 (/ 1 (+ x y))))
41.0ms
(* 100.0 (/ 1 (+ x y)))

simplify355.0ms

Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
01211062
1304859
2865707