Details

Time bar (total: 11.5s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done16
316
214
111
05

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (+ x y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp flip-+ insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 47
Calls
1 calls:
36.0ms
(/ (- x y) (+ x y))

series96.0ms

Counts
1 → 3
Calls
1 calls:
96.0ms
(/ (- x y) (+ x y))

simplify1.5s

Counts
50 → 50
Iterations
IterNodes
done5004
32479
2565
1194
079

prune132.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(/ x (+ x y))
0.0b
(- (/ x (+ x y)) (/ y (+ x y)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
40×times-frac
35×add-sqr-sqrt
23×add-cube-cbrt
12×distribute-lft-out
8×associate-/r* associate-/r/
7×add-cbrt-cube add-exp-log distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×flip3-+ flip-+ div-inv difference-of-squares
3×pow1 distribute-rgt-out-- insert-posit16
2×cbrt-undiv clear-num frac-2neg div-exp
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 97
Calls
3 calls:
14.0ms
(/ y (+ x y))
15.0ms
(/ x (+ x y))
70.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series201.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ y (+ x y))
51.0ms
(/ x (+ x y))
95.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.5s

Counts
106 → 106
Iterations
IterNodes
done5004
33622
2922
1290
0133

prune290.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(/ (+ x y) x)
0.0b
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
0.4b
(/ 1 (/ (+ x y) x))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
127×*-un-lft-identity
104×add-sqr-sqrt
71×add-cube-cbrt
23×associate-/r*
21×distribute-lft-out
19×add-exp-log
13×add-cbrt-cube
10×associate-/l* difference-of-squares
9×div-exp
8×div-inv
6×add-log-exp
5×pow1 cbrt-undiv
4×insert-posit16 distribute-lft-out--
3×clear-num frac-2neg associate-/r/
2×rec-exp flip3-+ 1-exp flip-+ associate-/l/
1×sub-neg flip3-- diff-log frac-sub pow-flip flip-- inv-pow
Counts
4 → 185
Calls
4 calls:
12.0ms
(/ y (+ x y))
26.0ms
(/ (+ x y) x)
148.0ms
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
16.0ms
(/ 1 (/ (+ x y) x))

series201.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ y (+ x y))
24.0ms
(/ (+ x y) x)
85.0ms
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
48.0ms
(/ 1 (/ (+ x y) x))

simplify1.4s

Counts
197 → 197
Iterations
IterNodes
done5001
21703
1600
0246

prune470.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

6.2b
(sqrt (/ x (+ x y)))
6.2b
(sqrt (/ x (+ x y)))
6.6b
(sqrt (/ y (+ x y)))
6.6b
(sqrt (/ y (+ x y)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
72×sqrt-prod
60×*-un-lft-identity
52×times-frac
48×add-sqr-sqrt
36×add-cube-cbrt
12×distribute-lft-out
8×pow1 rem-sqrt-square associate-/r/
4×sqrt-pow1 flip3-+ add-cbrt-cube pow1/2 sqrt-div add-exp-log flip-+ insert-posit16 div-inv add-log-exp
Counts
4 → 124
Calls
4 calls:
10.0ms
(sqrt (/ x (+ x y)))
10.0ms
(sqrt (/ x (+ x y)))
10.0ms
(sqrt (/ y (+ x y)))
10.0ms
(sqrt (/ y (+ x y)))

series266.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(sqrt (/ x (+ x y)))
66.0ms
(sqrt (/ x (+ x y)))
62.0ms
(sqrt (/ y (+ x y)))
63.0ms
(sqrt (/ y (+ x y)))

simplify3.5s

Counts
136 → 136
Iterations
IterNodes
done5820
53690
41602
3578
2296
1181
0126

prune686.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample629.0ms

Algorithm
intervals
Results
450.0ms8000×body80valid