Details

Time bar (total: 6.0s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify12.0ms

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: 6.8b

localize5.0ms

Local error

Found 1 expressions with local error:

6.4b
(/ (* 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:
17.0ms
(/ (* x y) (+ y 1.0))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ (* x y) (+ y 1.0))

simplify1.6s

Counts
30 → 30
Iterations

Useful iterations: done (1.6s)

IterNodesCost
074335
1197320
2690272
32778266
done5000263

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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:
12.0ms
(/ y (+ y 1.0))
32.0ms
(* x (/ y (+ y 1.0)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ y (+ y 1.0))
53.0ms
(* x (/ y (+ y 1.0)))

simplify1.5s

Counts
80 → 80
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0125825
1300773
2847699
32193691
done5001687

prune141.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sqrt (+ y 1.0)))
0.1b
(/ y (sqrt (+ y 1.0)))
2.1b
(* (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
96×times-frac
93×add-sqr-sqrt
91×*-un-lft-identity
63×add-cube-cbrt
62×sqrt-prod
27×associate-*r* associate-*l*
19×add-exp-log add-cbrt-cube
14×associate-/r* distribute-lft-out
9×unswap-sqr
8×sqrt-div associate-/r/
6×cbrt-undiv div-exp associate-/l*
5×pow1
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 179
Calls
3 calls:
13.0ms
(/ x (sqrt (+ y 1.0)))
15.0ms
(/ y (sqrt (+ y 1.0)))
73.0ms
(* (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))))

series262.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(/ x (sqrt (+ y 1.0)))
120.0ms
(/ y (sqrt (+ y 1.0)))
50.0ms
(* (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))))

simplify1.3s

Counts
188 → 188
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02532853
16562619
220242320
done50002299

prune381.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample336.0ms

Algorithm
intervals
Results
156.0ms8000×body80valid