Details

Time bar (total: 8.6s)

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done16
316
214
111
05

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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-+ div-inv flip-- add-log-exp
Counts
1 → 46
Calls
1 calls:
24.0ms
(/ (- x y) (+ x y))

series92.0ms

Counts
1 → 3
Calls
1 calls:
92.0ms
(/ (- x y) (+ x y))

simplify720.0ms

Counts
49 → 49
Iterations
IterNodes
done5000
2739
1193
078

prune206.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity
28×times-frac
25×add-sqr-sqrt
13×add-cube-cbrt
8×distribute-lft-out
7×distribute-lft-out--
6×associate-/r/
4×associate-/r* add-cbrt-cube add-exp-log add-log-exp difference-of-squares
3×flip3-+ distribute-rgt-out-- flip-+ div-inv associate-/l*
2×pow1
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-- diff-log div-exp frac-sub flip-- sub-div
Counts
2 → 61
Calls
2 calls:
95.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
14.0ms
(/ y (+ x y))

series161.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
53.0ms
(/ y (+ x y))

simplify1.8s

Counts
67 → 67
Iterations
IterNodes
done5001
33544
2704
1232
0104

prune213.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(/ y (+ x y))
0.1b
(* (/ y (+ x y)) (/ y (+ x y)))
0.1b
(* (/ x (+ x y)) (/ x (+ x y)))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
194×*-un-lft-identity
152×times-frac
118×add-sqr-sqrt
94×add-cube-cbrt
48×swap-sqr
44×distribute-lft-out
36×associate-*r* associate-*l*
32×add-cbrt-cube add-exp-log
20×associate-/r/
18×pow1
10×cbrt-undiv flip3-+ div-exp flip-+ div-inv
8×associate-/r* prod-exp cbrt-unprod unswap-sqr
6×associate-/l*
4×add-log-exp
2×pow2 frac-times clear-num frac-2neg pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 242
Calls
4 calls:
11.0ms
(/ y (+ x y))
11.0ms
(/ y (+ x y))
60.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
58.0ms
(* (/ x (+ x y)) (/ x (+ x y)))

series293.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ y (+ x y))
63.0ms
(/ y (+ x y))
78.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
94.0ms
(* (/ x (+ x y)) (/ x (+ x y)))

simplify784.0ms

Counts
254 → 254
Iterations
IterNodes
done5000
1832
0228

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite482.0ms

Algorithm
rewrite-expression-head
Rules
102×*-un-lft-identity
60×times-frac
58×add-sqr-sqrt
34×exp-prod
22×add-cube-cbrt
21×distribute-lft-out--
18×log-pow
16×distribute-lft-out
14×associate-/r/
12×difference-of-squares
9×distribute-rgt-out-- add-log-exp
7×flip3-+ flip-+ div-inv
6×add-cbrt-cube add-exp-log
5×pow1 log-prod
4×associate-/r* exp-sum
3×sub-neg associate-/l*
2×exp-diff diff-log rem-exp-log
1×cbrt-undiv log-div clear-num frac-2neg flip3-- div-exp rem-log-exp frac-sub flip-- sub-div
Counts
4 → 122
Calls
4 calls:
220.0ms
(exp (- (/ x (+ x y)) (/ y (+ x y))))
176.0ms
(log (exp (- (/ x (+ x y)) (/ y (+ x y)))))
67.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
10.0ms
(/ y (+ x y))

series405.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(exp (- (/ x (+ x y)) (/ y (+ x y))))
110.0ms
(log (exp (- (/ x (+ x y)) (/ y (+ x y)))))
111.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
57.0ms
(/ y (+ x y))

simplify795.0ms

Counts
134 → 134
Iterations
IterNodes
done5000
21013
1335
0157

prune659.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes132.0ms

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
done12
112
010

end0.0ms

sample434.0ms

Algorithm
intervals
Results
253.0ms8000×body80valid