Details

Time bar (total: 9.9s)

sample22.0ms

Algorithm
intervals
Results
10.0ms256×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))

rewrite22.0ms

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:
20.0ms
(/ (- x y) (+ x y))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(/ (- x y) (+ x y))

simplify642.0ms

Counts
49 → 49
Iterations
IterNodes
done5000
2739
1193
078

prune143.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

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--
2×cbrt-undiv clear-num frac-2neg div-exp
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 94
Calls
3 calls:
8.0ms
(/ x (+ x y))
9.0ms
(/ y (+ x y))
63.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(/ x (+ x y))
53.0ms
(/ y (+ x y))
81.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify2.1s

Counts
103 → 103
Iterations
IterNodes
done5000
34659
2934
1287
0130

prune389.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ x (+ x y)))
0.0b
(/ y (+ x y))
0.0b
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
3.5b
(log (exp (/ x (+ x y))))

rewrite267.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
37×times-frac
36×add-sqr-sqrt exp-prod
31×add-cube-cbrt
20×log-pow
10×distribute-lft-out
6×pow1 log-prod add-cbrt-cube add-exp-log associate-/r/ add-log-exp
4×associate-/r*
3×flip3-+ associate--l+ flip-+ div-inv associate-/l*
2×distribute-lft-out-- difference-of-squares
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-- diff-log div-exp rem-log-exp flip-- rem-exp-log
Counts
4 → 108
Calls
4 calls:
22.0ms
(exp (/ x (+ x y)))
13.0ms
(/ y (+ x y))
208.0ms
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
18.0ms
(log (exp (/ x (+ x y))))

series260.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(exp (/ x (+ x y)))
50.0ms
(/ y (+ x y))
87.0ms
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
45.0ms
(log (exp (/ x (+ x y))))

simplify1.5s

Counts
120 → 120
Iterations
IterNodes
done5000
33790
2801
1279
0149

prune536.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(- (log (exp (/ x (+ x y)))) (log (exp (/ y (+ x y)))))
1.9b
(log (exp (/ y (+ x y))))
3.5b
(log (exp (/ x (+ x y))))

rewrite320.0ms

Algorithm
rewrite-expression-head
Rules
83×*-un-lft-identity
62×log-pow
56×exp-prod
48×times-frac
37×add-sqr-sqrt
35×add-cube-cbrt
14×distribute-lft-out
12×log-prod
10×pow1 associate-/r/
7×distribute-rgt-out-- distribute-lft-out--
6×add-cbrt-cube add-exp-log
5×flip3-+ flip-+ div-inv
4×associate-/r* add-log-exp
3×associate--l+ associate-/l* associate--r+
2×rem-log-exp
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-- diff-log div-exp flip-- difference-of-squares
Counts
4 → 126
Calls
4 calls:
13.0ms
(/ y (+ x y))
247.0ms
(- (log (exp (/ x (+ x y)))) (log (exp (/ y (+ x y)))))
22.0ms
(log (exp (/ y (+ x y))))
30.0ms
(log (exp (/ x (+ x y))))

series226.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ y (+ x y))
81.0ms
(- (log (exp (/ x (+ x y)))) (log (exp (/ y (+ x y)))))
45.0ms
(log (exp (/ y (+ x y))))
54.0ms
(log (exp (/ x (+ x y))))

simplify1.7s

Counts
138 → 138
Iterations
IterNodes
done5001
34427
2930
1332
0190

prune661.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes83.0ms

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
010

end0.0ms

sample546.0ms

Algorithm
intervals
Results
316.0ms8000×body80valid