Details

Time bar (total: 11.7s)

sample32.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2147
3177
4187
done187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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 expm1-log1p-u frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
16.0ms
(/ (* x y) (+ y 1.0))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(/ (* x y) (+ y 1.0))

simplify2.5s

Counts
30 → 30
Iterations

Useful iterations: done (2.5s)

IterNodesCost
074335
1197320
2690272
32778266
done5000263

prune110.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

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 expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 74
Calls
2 calls:
22.0ms
(/ y (+ y 1.0))
38.0ms
(* x (/ y (+ y 1.0)))

series122.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ y (+ y 1.0))
84.0ms
(* x (/ y (+ y 1.0)))

simplify2.1s

Counts
80 → 80
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0125825
1300773
2847699
32193691
done5001687

prune222.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-+ associate-/r/ flip-+
Counts
2 → 119
Calls
2 calls:
36.0ms
(/ (+ y 1.0) y)
34.0ms
(/ x (/ (+ y 1.0) y))

series159.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(/ (+ y 1.0) y)
68.0ms
(/ x (/ (+ y 1.0) y))

simplify2.8s

Counts
125 → 125
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01881682
14191556
212921477
338241469
done50011466

prune273.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

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 expm1-log1p-u frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
32.0ms
(/ (* x y) (+ y 1.0))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ (* x y) (+ y 1.0))

simplify2.9s

Counts
30 → 30
Iterations

Useful iterations: done (2.9s)

IterNodesCost
074335
1197320
2690272
32778266
done5000263

prune53.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes0.0ms