Details

Time bar (total: 7.3s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify14.0ms

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: 9.4b

localize5.0ms

Local error

Found 1 expressions with local error:

8.8b
(/ (* x y) (+ y 1.0))

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 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:
6.0ms
(/ (* x y) (+ y 1.0))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(/ (* x y) (+ y 1.0))

simplify1.7s

Counts
30 → 30
Iterations

Useful iterations: 3 (542.0ms)

IterNodesCost
074335
1199320
2684272
33110266
done5000266

prune60.0ms

Pruning

4 alts after pruning (3 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)))

rewrite25.0ms

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:
5.0ms
(/ y (+ y 1.0))
17.0ms
(* x (/ y (+ y 1.0)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ y (+ y 1.0))
46.0ms
(* x (/ y (+ y 1.0)))

simplify1.6s

Counts
80 → 80
Iterations

Useful iterations: 3 (546.0ms)

IterNodesCost
0125825
1304773
2841699
32605693
done5000693

prune140.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ y 1.0))
0.1b
(/ x (sqrt (+ y 1.0)))
0.2b
(/ y (sqrt (+ y 1.0)))
1.1b
(* (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt
96×times-frac
95×*-un-lft-identity
66×sqrt-prod
65×add-cube-cbrt
27×associate-*r* associate-*l*
20×add-exp-log add-cbrt-cube
15×distribute-lft-out
14×associate-/r*
10×sqrt-div
9×unswap-sqr
8×associate-/r/
7×pow1
6×cbrt-undiv div-exp associate-/l*
5×flip3-+ flip-+
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
2×frac-2neg clear-num
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ *-commutative hypot-def
Counts
4 → 198
Calls
4 calls:
4.0ms
(sqrt (+ y 1.0))
6.0ms
(/ x (sqrt (+ y 1.0)))
6.0ms
(/ y (sqrt (+ y 1.0)))
44.0ms
(* (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))))

series287.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(sqrt (+ y 1.0))
88.0ms
(/ x (sqrt (+ y 1.0)))
117.0ms
(/ y (sqrt (+ y 1.0)))
50.0ms
(* (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))))

simplify1.2s

Counts
210 → 210
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02653041
16922829
222522490
done50012442

prune419.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (/ y (+ y 1.0)))
0.2b
(* (sqrt (* x (/ y (+ y 1.0)))) (sqrt (* x (/ y (+ y 1.0)))))
5.8b
(sqrt (* x (/ y (+ y 1.0))))
5.8b
(sqrt (* x (/ y (+ y 1.0))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
24×add-sqr-sqrt
23×*-un-lft-identity pow-prod-down
22×associate-*r*
17×add-cube-cbrt
13×times-frac
12×pow1/2
11×add-exp-log add-cbrt-cube
10×pow-prod-up
8×associate-*r/
7×associate-*l*
6×sqrt-div sqrt-prod pow-sqr
4×expm1-log1p-u swap-sqr log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod distribute-lft-out unswap-sqr
2×associate-/r/ *-commutative
1×cbrt-undiv pow2 frac-times flip3-+ pow-plus sqrt-unprod div-exp associate-*l/ rem-square-sqrt flip-+ div-inv
Counts
4 → 121
Calls
4 calls:
14.0ms
(* x (/ y (+ y 1.0)))
37.0ms
(* (sqrt (* x (/ y (+ y 1.0)))) (sqrt (* x (/ y (+ y 1.0)))))
5.0ms
(sqrt (* x (/ y (+ y 1.0))))
5.0ms
(sqrt (* x (/ y (+ y 1.0))))

series210.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* x (/ y (+ y 1.0)))
48.0ms
(* (sqrt (* x (/ y (+ y 1.0)))) (sqrt (* x (/ y (+ y 1.0)))))
57.0ms
(sqrt (* x (/ y (+ y 1.0))))
61.0ms
(sqrt (* x (/ y (+ y 1.0))))

simplify809.0ms

Counts
133 → 133
Iterations

Useful iterations: done (805.0ms)

IterNodesCost
01631703
13881311
212661155
done50001131

prune246.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes51.0ms

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

sample269.0ms

Algorithm
intervals
Results
149.0ms8000×body80valid