Details

Time bar (total: 12.5s)

sample36.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2147
3177
4187
done187

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize11.0ms

Local error

Found 1 expressions with local error:

6.9b
(/ (* x y) (+ y 1.0))

rewrite34.0ms

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:
32.0ms
(/ (* x y) (+ y 1.0))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (* x y) (+ y 1.0))

simplify2.6s

Counts
28 → 28
Iterations

Useful iterations: 3 (878.0ms)

IterNodesCost
072319
1193304
2660256
32625250
done5000250

prune104.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (+ y 1.0))
0.0b
(* x (/ y (+ y 1.0)))

rewrite53.0ms

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:
11.0ms
(/ y (+ y 1.0))
36.0ms
(* x (/ y (+ y 1.0)))

series125.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ y (+ y 1.0))
62.0ms
(* x (/ y (+ y 1.0)))

simplify2.7s

Counts
76 → 76
Iterations

Useful iterations: 3 (708.0ms)

IterNodesCost
0121797
1292747
2790671
32003665
done5001665

prune225.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y 1.0) y)
0.3b
(/ x (/ (+ y 1.0) y))

rewrite82.0ms

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:
42.0ms
(/ (+ y 1.0) y)
30.0ms
(/ x (/ (+ y 1.0) y))

series163.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(/ (+ y 1.0) y)
80.0ms
(/ x (/ (+ y 1.0) y))

simplify2.9s

Counts
121 → 121
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01841654
14111532
212501450
336471442
done50001442

prune297.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

6.9b
(/ (* x y) (+ y 1.0))

rewrite31.0ms

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:
30.0ms
(/ (* x y) (+ y 1.0))

series69.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(/ (* x y) (+ y 1.0))

simplify2.8s

Counts
28 → 28
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
072319
1193304
2660256
32625250
done5000250

prune59.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes0.0ms